1825:
2757:
2305:. Using magnetic instruments adapted from airborne magnetic anomaly detectors developed during World War II to detect submarines, the magnetic variations across the ocean floor have been mapped. Basalt — the iron-rich, volcanic rock making up the ocean floor — contains a strongly magnetic mineral (magnetite) and can locally distort compass readings. The distortion was recognized by Icelandic mariners as early as the late 18th century. More important, because the presence of magnetite gives the basalt measurable magnetic properties, these magnetic variations have provided another means to study the deep ocean floor. When newly formed rock cools, such magnetic materials record the Earth's magnetic field.
2729:
1275:
1263:
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1791:(seemingly random) fluctuation. An instantaneous measurement of it, or several measurements of it across the span of decades or centuries, are not sufficient to extrapolate an overall trend in the field strength. It has gone up and down in the past for unknown reasons. Also, noting the local intensity of the dipole field (or its fluctuation) is insufficient to characterize Earth's magnetic field as a whole, as it is not strictly a dipole field. The dipole component of Earth's field can diminish even while the total magnetic field remains the same or increases.
1639:
1131:
1324:
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1730:, cools to form new basaltic crust on both sides of the ridge, and is carried away from it by seafloor spreading. As it cools, it records the direction of the Earth's field. When the Earth's field reverses, new basalt records the reversed direction. The result is a series of stripes that are symmetric about the ridge. A ship towing a magnetometer on the surface of the ocean can detect these stripes and infer the age of the ocean floor below. This provides information on the rate at which seafloor has spread in the past.
1776:
1291:
7463:
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36:
2568:, and higher order terms drop off increasingly rapidly with the radius. The radius of the outer core is about half of the radius of the Earth. If the field at the core-mantle boundary is fit to spherical harmonics, the dipole part is smaller by a factor of about 8 at the surface, the quadrupole part by a factor of 16, and so on. Thus, only the components with large wavelengths can be noticeable at the surface. From a variety of arguments, it is usually assumed that only terms up to degree
1493:
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1309:, with its south pole pointing towards the geomagnetic North Pole. This may seem surprising, but the north pole of a magnet is so defined because, if allowed to rotate freely, it points roughly northward (in the geographic sense). Since the north pole of a magnet attracts the south poles of other magnets and repels the north poles, it must be attracted to the south pole of Earth's magnet. The dipolar field accounts for 80–90% of the field in most locations.
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2283:
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2102:. The temperature increases towards the center of the Earth, and the higher temperature of the fluid lower down makes it buoyant. This buoyancy is enhanced by chemical separation: As the core cools, some of the molten iron solidifies and is plated to the inner core. In the process, lighter elements are left behind in the fluid, making it lighter. This is called
1336:
and –90° (upwards) at the South
Magnetic Pole. The two poles wander independently of each other and are not directly opposite each other on the globe. Movements of up to 40 kilometres (25 mi) per year have been observed for the North Magnetic Pole. Over the last 180 years, the North Magnetic Pole has been migrating northwestward, from Cape Adelaide in the
1626:, Oregon appeared to suggest the magnetic field once shifted at a rate of up to 6° per day at some time in Earth's history, a surprising result. However, in 2014 one of the original authors published a new study which found the results were actually due to the continuous thermal demagnitization of the lava, not to a shift in the magnetic field.
2376:. This was first done by Carl Friedrich Gauss. Spherical harmonics are functions that oscillate over the surface of a sphere. They are the product of two functions, one that depends on latitude and one on longitude. The function of longitude is zero along zero or more great circles passing through the North and South Poles; the number of such
2166:
2709:. Some researchers have found that cows and wild deer tend to align their bodies north–south while relaxing, but not when the animals are under high-voltage power lines, suggesting that magnetism is responsible. Other researchers reported in 2011 that they could not replicate those findings using different
2165:
1230:. Maps typically include information on the declination as an angle or a small diagram showing the relationship between magnetic north and true north. Information on declination for a region can be represented by a chart with isogonic lines (contour lines with each line representing a fixed declination).
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Very weak electromagnetic fields disrupt the magnetic compass used by
European robins and other songbirds, which use the Earth's magnetic field to navigate. Neither power lines nor cellphone signals are to blame for the electromagnetic field effect on the birds; instead, the culprits have frequencies
1335:
The positions of the magnetic poles can be defined in at least two ways: locally or globally. The local definition is the point where the magnetic field is vertical. This can be determined by measuring the inclination. The inclination of the Earth's field is 90° (downwards) at the North
Magnetic Pole
1331:
Historically, the north and south poles of a magnet were first defined by the Earth's magnetic field, not vice versa, since one of the first uses for a magnet was as a compass needle. A magnet's North pole is defined as the pole that is attracted by the Earth's North
Magnetic Pole when the magnet is
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contributed to a growing body of evidence that the Earth's magnetic field cycles with intensity every 200 million years. The lead author stated that "Our findings, when considered alongside the existing datasets, support the existence of an approximately 200-million-year-long cycle in the strength of
1005:
Earth's magnetic field deflects most of the solar wind, whose charged particles would otherwise strip away the ozone layer that protects the Earth from harmful ultraviolet radiation. One stripping mechanism is for gas to be caught in bubbles of the magnetic field, which are ripped off by solar winds.
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dynamo models, ones that determine both the fluid motions and the magnetic field, were developed by two groups in 1995, one in Japan and one in the United States. The latter received attention because it successfully reproduced some of the characteristics of the Earth's field, including geomagnetic
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Starting in the late 1800s and throughout the 1900s and later, the overall geomagnetic field has become weaker; the present strong deterioration corresponds to a 10–15% decline and has accelerated since 2000; geomagnetic intensity has declined almost continuously from a maximum 35% above the modern
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The global definition of the Earth's field is based on a mathematical model. If a line is drawn through the center of the Earth, parallel to the moment of the best-fitting magnetic dipole, the two positions where it intersects the Earth's surface are called the North and South geomagnetic poles. If
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Electric currents induced in the ionosphere generate magnetic fields (ionospheric dynamo region). Such a field is always generated near where the atmosphere is closest to the Sun, causing daily alterations that can deflect surface magnetic fields by as much as 1°. Typical daily variations of field
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The oceans contribute to Earth's magnetic field. Seawater is an electrical conductor, and therefore interacts with the magnetic field. As the tides cycle around the ocean basins, the ocean water essentially tries to pull the geomagnetic field lines along. Because the salty water is only slightly
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in which the solar wind would have had a magnetic field orders of magnitude larger than the present solar wind. However, much of the field may have been screened out by the Earth's mantle. An alternative source is currents in the core-mantle boundary driven by chemical reactions or variations in
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The direction and intensity of the dipole change over time. Over the last two centuries the dipole strength has been decreasing at a rate of about 6.3% per century. At this rate of decrease, the field would be negligible in about 1600 years. However, this strength is about average for the last 7
2898:
Finlay, C. C.; Maus, S.; Beggan, C. D.; Bondar, T. N.; Chambodut, A.; Chernova, T. A.; Chulliat, A.; Golovkov, V. P.; Hamilton, B.; Hamoudi, M.; Holme, R.; Hulot, G.; Kuang, W.; Langlais, B.; Lesur, V.; Lowes, F. J.; Lühr, H.; Macmillan, S.; Mandea, M.; McLean, S.; Manoj, C.; Menvielle, M.;
2436:. Analyses of the Earth's magnetic field use a modified version of the usual spherical harmonics that differ by a multiplicative factor. A least-squares fit to the magnetic field measurements gives the Earth's field as the sum of spherical harmonics, each multiplied by the best-fitting
1304:
Near the surface of the Earth, its magnetic field can be closely approximated by the field of a magnetic dipole positioned at the center of the Earth and tilted at an angle of about 11° with respect to the rotational axis of the Earth. The dipole is roughly equivalent to a powerful bar
2091:. Even in a fluid with a finite conductivity, new field is generated by stretching field lines as the fluid moves in ways that deform it. This process could go on generating new field indefinitely, were it not that as the magnetic field increases in strength, it resists fluid motion.
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In July 2020 scientists report that analysis of simulations and a recent observational field model show that maximum rates of directional change of Earth's magnetic field reached ~10° per year – almost 100 times faster than current changes and 10 times faster than previously thought.
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852:'s field in a period of normal polarity between reversals. The lines represent magnetic field lines, blue when the field points towards the center and yellow when away. The rotation axis of Earth is centered and vertical. The dense clusters of lines are within Earth's core.
2133:(MHD) of the Earth's interior. Simulation of the MHD equations is performed on a 3D grid of points and the fineness of the grid, which in part determines the realism of the solutions, is limited mainly by computer power. For decades, theorists were confined to creating
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Some of the charged particles do get into the magnetosphere. These spiral around field lines, bouncing back and forth between the poles several times per second. In addition, positive ions slowly drift westward and negative ions drift eastward, giving rise to a
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computer models in which the fluid motion is chosen in advance and the effect on the magnetic field calculated. Kinematic dynamo theory was mainly a matter of trying different flow geometries and testing whether such geometries could sustain a dynamo.
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At any location, the Earth's magnetic field can be represented by a three-dimensional vector. A typical procedure for measuring its direction is to use a compass to determine the direction of magnetic North. Its angle relative to true North is the
2087:, any change in the magnetic field would be immediately opposed by currents, so the flux through a given volume of fluid could not change. As the fluid moved, the magnetic field would go with it. The theorem describing this effect is called the
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Each measurement of the magnetic field is at a particular place and time. If an accurate estimate of the field at some other place and time is needed, the measurements must be converted to a model and the model used to make predictions.
4334:
Tarduno, J. A.; Cottrell, R. D.; Watkeys, M. K.; Hofmann, A.; Doubrovine, P. V.; Mamajek, E. E.; Liu, D.; Sibeck, D. G.; Neukirch, L. P.; Usui, Y. (4 March 2010). "Geodynamo, Solar Wind, and
Magnetopause 3.4 to 3.45 Billion Years Ago".
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show that the magnetic field, which interacts with the solar wind, is reduced when the magnetic orientation is aligned between Sun and Earth – opposite to the previous hypothesis. During forthcoming solar storms, this could result in
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Spherical harmonic analysis can be used to distinguish internal from external sources if measurements are available at more than one height (for example, ground observatories and satellites). In that case, each term with coefficient
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down to a wavelength of 56 kilometers. It was compiled from satellite, marine, aeromagnetic and ground magnetic surveys. As of 2018, the latest version, EMM2017, includes data from The
European Space Agency's Swarm satellite
2596:
and SAC-C) and a world network of geomagnetic observatories. The spherical harmonic expansion was truncated at degree 10, with 120 coefficients, until 2000. Subsequent models are truncated at degree 13 (195 coefficients).
1463:, are largely driven by solar activity. If the solar wind is weak, the magnetosphere expands; while if it is strong, it compresses the magnetosphere and more of it gets in. Periods of particularly intense activity, called
2659:. CM attempts to reconcile data with greatly varying temporal and spatial resolution from ground and satellite sources. The latest version as of 2022 is CM5 of 2016. It provides separate components for main field plus
1425:). The inner belt is 1–2 Earth radii out while the outer belt is at 4–7 Earth radii. The plasmasphere and Van Allen belts have partial overlap, with the extent of overlap varying greatly with solar activity.
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and rotates upwards as the latitude decreases until it is horizontal (0°) at the magnetic equator. It continues to rotate upwards until it is straight up at the South
Magnetic Pole. Inclination can be measured with a
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at a rate of about 0.2° per year. This drift is not the same everywhere and has varied over time. The globally averaged drift has been westward since about 1400 AD but eastward between about 1000 AD and 1400 AD.
1332:
suspended so it can turn freely. Since opposite poles attract, the North
Magnetic Pole of the Earth is really the south pole of its magnetic field (the place where the field is directed downward into the Earth).
1417:. This region begins at a height of 60 km, extends up to 3 or 4 Earth radii, and includes the ionosphere. This region rotates with the Earth. There are also two concentric tire-shaped regions, called the
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term. In a stationary fluid, the magnetic field declines and any concentrations of field spread out. If the Earth's dynamo shut off, the dipole part would disappear in a few tens of thousands of years.
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An artist's rendering of the structure of a magnetosphere. 1) Bow shock. 2) Magnetosheath. 3) Magnetopause. 4) Magnetosphere. 5) Northern tail lobe. 6) Southern tail lobe.
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Nichols, Claire I. O.; Weiss, Benjamin P.; Eyster, Athena; Martin, Craig R.; Maloof, Adam C.; Kelly, Nigel M.; Zawaski, Mike J.; Mojzsis, Stephen J.; Watson, E. Bruce; Cherniak, Daniele J. (2024).
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1440:. By contrast, astronauts on the Moon risk exposure to radiation. Anyone who had been on the Moon's surface during a particularly violent solar eruption in 2005 would have received a lethal dose.
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the Earth's magnetic field were perfectly dipolar, the geomagnetic poles and magnetic dip poles would coincide and compasses would point towards them. However, the Earth's field has a significant
1151:(μT), with 1 G = 100 μT. A nanotesla is also referred to as a gamma (γ). The Earth's field ranges between approximately 22 and 67 μT (0.22 and 0.67 G). By comparison, a strong
926:
corresponds to the north pole of Earth's magnetic field (because opposite magnetic poles attract and the north end of a magnet, like a compass needle, points toward Earth's South magnetic field,
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A dynamo can amplify a magnetic field, but it needs a "seed" field to get it started. For the Earth, this could have been an external magnetic field. Early in its history the Sun went through a
4030:
Coe, R. S.; Jarboe, N. A.; Le Goff, M.; Petersen, N. (15 August 2014). "Demise of the rapid-field-change hypothesis at Steens
Mountain: The crucial role of continuous thermal demagnetization".
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with a presently accelerating rate—10 kilometres (6.2 mi) per year at the beginning of the 1900s, up to 40 kilometres (25 mi) per year in 2003, and since then has only accelerated.
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Michaelis, I.; Olsen, N.; Rauberg, J.; Rother, M.; Sabaka, T. J.; Tangborn, A.; Tøffner-Clausen, L.; Thébault, E.; Thomson, A. W. P.; Wardinski, I.; Wei, Z.; Zvereva, T. I. (December 2010).
1226:
Declination is positive for an eastward deviation of the field relative to true north. It can be estimated by comparing the magnetic north–south heading on a compass with the direction of a
2179:
The strength of the interaction depends also on the temperature of the ocean water. The entire heat stored in the ocean can now be inferred from observations of the Earth's magnetic field.
2496:– determine the direction and magnitude of the dipole contribution. The best fitting dipole is tilted at an angle of about 10° with respect to the rotational axis, as described earlier.
1821:
The Earth's magnetic field is believed to be generated by electric currents in the conductive iron alloys of its core, created by convection currents due to heat escaping from the core.
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fluids. The Earth's field originates in its core. This is a region of iron alloys extending to about 3400 km (the radius of the Earth is 6370 km). It is divided into a solid
1784:
value, from circa year 1 AD. The rate of decrease and the current strength are within the normal range of variation, as shown by the record of past magnetic fields recorded in rocks.
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The inclination is given by an angle that can assume values between −90° (up) to 90° (down). In the northern hemisphere, the field points downwards. It is straight down at the
2635:
The above models only take into account the "main field" at the core-mantle boundary. Although generally good enough for navigation, higher-accuracy use cases require smaller-scale
1033:
is spreading, while the stability of the geomagnetic poles between reversals has allowed paleomagnetism to track the past motion of continents. Reversals also provide the basis for
1523:) and magnetosphere, and some changes can be traced to geomagnetic storms or daily variations in currents. Changes over time scales of a year or more mostly reflect changes in the
2081:
4436:
2540:. The increasing terms fit the external sources (currents in the ionosphere and magnetosphere). However, averaged over a few years the external contributions average to zero.
1715:. In sediments, the orientation of magnetic particles acquires a slight bias towards the magnetic field as they are deposited on an ocean floor or lake bottom. This is called
1592:. Over hundreds of years, magnetic declination is observed to vary over tens of degrees. The animation shows how global declinations have changed over the last few centuries.
1471:
erupts above the Sun and sends a shock wave through the Solar System. Such a wave can take just two days to reach the Earth. Geomagnetic storms can cause a lot of disruption;
2228:. Such observatories can measure and forecast magnetic conditions such as magnetic storms that sometimes affect communications, electric power, and other human activities.
1394:, the area where the pressures balance, is the boundary of the magnetosphere. Despite its name, the magnetosphere is asymmetric, with the sunward side being about 10
1448:. This current reduces the magnetic field at the Earth's surface. Particles that penetrate the ionosphere and collide with the atoms there give rise to the lights of the
1390:
The solar wind exerts a pressure, and if it could reach Earth's atmosphere it would erode it. However, it is kept away by the pressure of the Earth's magnetic field. The
6465:
5820:
Engels, Svenja; Schneider, Nils-Lasse; Lefeldt, Nele; Hein, Christine Maira; Zapka, Manuela; Michalik, Andreas; Elbers, Dana; Kittel, Achim; Hore, P. J. (2014-05-15).
1828:
A schematic illustrating the relationship between motion of conducting fluid, organized into rolls by the
Coriolis force, and the magnetic field the motion generates.
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or less have their origin in the core. These have wavelengths of about 2,000 km (1,200 mi) or less. Smaller features are attributed to crustal anomalies.
2216:
Governments sometimes operate units that specialize in measurement of the Earth's magnetic field. These are geomagnetic observatories, typically part of a national
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in time, with intervals between reversals ranging from less than 0.1 million years to as much as 50 million years. The most recent geomagnetic reversal, called the
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906:
The magnitude of Earth's magnetic field at its surface ranges from 25 to 65 μT (0.25 to 0.65 G). As an approximation, it is represented by a field of a
5177:
Hulot, G.; Eymin, C.; Langlais, B.; Mandea, M.; Olsen, N. (April 2002). "Small-scale structure of the geodynamo inferred from Oersted and Magsat satellite data".
2213:
allowed a comparison indicating a dynamic geodynamo in action that appears to be giving rise to an alternate pole under the Atlantic Ocean west of South Africa.
1848:, which is about 3,800 K (3,530 °C; 6,380 °F). The heat is generated by potential energy released by heavier materials sinking toward the core (
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Relationship between Earth's poles. A1 and A2 are the geographic poles; B1 and B2 are the geomagnetic poles; C1 (south) and C2 (north) are the magnetic poles.
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1844:. The motion of the liquid in the outer core is driven by heat flow from the inner core, which is about 6,000 K (5,730 °C; 10,340 °F), to the
4937:
Glatzmaier, Gary A.; Roberts, Paul H. (1995). "A three-dimensional convective dynamo solution with rotating and finitely conducting inner core and mantle".
1379:
Earth's magnetic field, predominantly dipolar at its surface, is distorted further out by the solar wind. This is a stream of charged particles leaving the
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For historical data about the main field, the IGRF may be used back to year 1900. A specialized GUFM1 model estimates back to year 1590 using ship's logs.
1832:
The Earth and most of the planets in the Solar System, as well as the Sun and other stars, all generate magnetic fields through the motion of electrically
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Although generally Earth's field is approximately dipolar, with an axis that is nearly aligned with the rotational axis, occasionally the North and South
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between 2 kHz and 5 MHz. These include AM radio signals and ordinary electronic equipment that might be found in businesses or private homes.
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The geomagnetic field changes on time scales from milliseconds to millions of years. Shorter time scales mostly arise from currents in the ionosphere (
6520:
3007:
Luhmann, J. G.; Johnson, R. E.; Zhang, M. H. G. (3 November 1992). "Evolutionary impact of sputtering of the Martian atmosphere by O + pickup ions".
578:
5570:
Jackson, Andrew; Jonkers, Art R. T.; Walker, Matthew R. (15 March 2000). "Four centuries of geomagnetic secular variation from historical records".
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2612:. This model truncates at degree 12 (168 coefficients) with an approximate spatial resolution of 3,000 kilometers. It is the model used by the
1744:, a geophysical correlation technique that can be used to date both sedimentary and volcanic sequences as well as the seafloor magnetic anomalies.
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are usually located near the geographic poles, they slowly and continuously move over geological time scales, but sufficiently slowly for ordinary
6203:
Towle, J. N. (1984). "The Anomalous Geomagnetic Variation Field and Geoelectric Structure Associated with the Mesa Butte Fault System, Arizona".
7804:
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4013:
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Coe, R. S.; Prévot, M.; Camps, P. (20 April 1995). "New evidence for extraordinarily rapid change of the geomagnetic field during a reversal".
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in calculating geomagnetic fields in the past. Such information in turn is helpful in studying the motions of continents and ocean floors. The
5142:
4902:
Kageyama, Akira; Sato, Tetsuya; the Complexity Simulation Group (1 January 1995). "Computer simulation of a magnetohydrodynamic dynamo. II".
1299:
1010:, resulting from scavenging of ions by the solar wind, indicate that the dissipation of the magnetic field of Mars caused a near total loss
7809:
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Jackson, Andrew; Jonkers, Art R. T.; Walker, Matthew R. (2000). "Four centuries of Geomagnetic Secular Variation from Historical Records".
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thermal or electric conductivity. Such effects may still provide a small bias that are part of the boundary conditions for the geodynamo.
1060:, various other organisms, ranging from some types of bacteria to pigeons, use the Earth's magnetic field for orientation and navigation.
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7273:
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2832:
Glatzmaier, Gary A.; Roberts, Paul H. (1995). "A three-dimensional self-consistent computer simulation of a geomagnetic field reversal".
2209:
satellite and later satellites have used 3-axis vector magnetometers to probe the 3-D structure of the Earth's magnetic field. The later
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strength are about 25 nT (one part in 2000), with variations over a few seconds of typically around 1 nT (one part in 50,000).
1974:{\displaystyle {\frac {\partial \mathbf {B} }{\partial t}}=\eta \nabla ^{2}\mathbf {B} +\nabla \times (\mathbf {u} \times \mathbf {B} ),}
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The study of the past magnetic field of the Earth is known as paleomagnetism. The polarity of the Earth's magnetic field is recorded in
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The average magnetic field in the Earth's outer core was calculated to be 25 gauss, 50 times stronger than the field at the surface.
1767:. In 2024 researchers published evidence from Greenland for the existence of the magnetic field as early as 3,700 million years ago.
1607:
Changes that predate magnetic observatories are recorded in archaeological and geological materials. Such changes are referred to as
1052:
Humans have used compasses for direction finding since the 11th century A.D. and for navigation since the 12th century. Although the
4440:
1646:. Dark areas denote periods where the polarity matches today's polarity, light areas denote periods where that polarity is reversed.
1479:, occurred in 1859. It induced currents strong enough to disrupt telegraph lines, and aurorae were reported as far south as Hawaii.
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6403:
4208:"Ice Age Polarity Reversal Was Global Event: Extremely Brief Reversal of Geomagnetic Field, Climate Variability, and Super Volcano"
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elements in the interior. The pattern of flow is organized by the rotation of the Earth and the presence of the solid inner core.
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2235:, with over 100 interlinked geomagnetic observatories around the world, has been recording the Earth's magnetic field since 1991.
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causing geomagnetic storms, provoking displays of aurorae. The short-term instability of the magnetic field is measured with the
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in the natural background that might be caused by a significant metallic object such as a submerged submarine. Typically, these
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Chulliat, A.; Brown, W.; Alken, P.; Beggan, C.; Nair, M.; Cox, G.; Woods, A.; Macmillan, S.; Meyer, B.; Paniccia, M. (2020).
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The most common way of analyzing the global variations in the Earth's magnetic field is to fit the measurements to a set of
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Simulating the geodynamo by computer requires numerically solving a set of nonlinear partial differential equations for the
2110:, caused by the overall planetary rotation, tends to organize the flow into rolls aligned along the north–south polar axis.
1722:
Thermoremanent magnetization is the main source of the magnetic anomalies around mid-ocean ridges. As the seafloor spreads,
8564:
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4295:"Evidence for a 3.45-billion-year-old magnetic remanence: Hints of an ancient geodynamo from conglomerates of South Africa"
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over South America while there are maxima over northern Canada, Siberia, and the coast of Antarctica south of Australia.
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in 1832 and has been repeatedly measured since then, showing a relative decay of about 10% over the last 150 years. The
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4388:"Possible Eoarchean Records of the Geomagnetic Field Preserved in the Isua Supracrustal Belt, Southern West Greenland"
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Deutschlander, M.; Phillips, J.; Borland, S. (1999). "The case for light-dependent magnetic orientation in animals".
2588:(IGRF). It is updated every five years. The 11th-generation model, IGRF11, was developed using data from satellites (
60:
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Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
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Hert, J; Jelinek, L; Pekarek, L; Pavlicek, A (2011). "No alignment of cattle along geomagnetic field lines found".
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Animals, including birds and turtles, can detect the Earth's magnetic field, and use the field to navigate during
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and accelerating to a speed of 200 to 1000 kilometres per second. They carry with them a magnetic field, the
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does shift with time, this wandering is slow enough that a simple compass can remain useful for navigation. Using
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2395:ℓ. Each harmonic is equivalent to a particular arrangement of magnetic charges at the center of the Earth. A
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that happens about twice per day (M2). Other contributions come from ocean swell, eddies, and even tsunamis.
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2391:. The function of latitude is zero along zero or more latitude circles; this plus the order is equal to the
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to remain useful for navigation. However, at irregular intervals averaging several hundred thousand years,
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The intensity of the magnetic field is subject to change over time. A 2021 paleomagnetic study from the
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shows, the intensity tends to decrease from the poles to the equator. A minimum intensity occurs in the
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7049:
6356:. Information on monitoring and modeling the geomagnetic field. British Geological Survey, August 2005.
6299:
5917:
5140:; Le Mouel, Jean Louis (1988). "Time Variations of the Earth's Magnetic Field: From Daily to Secular".
4781:
Buffett, Bruce A. (2010). "Tidal dissipation and the strength of the Earth's internal magnetic field".
2059:
1875:); and the electric and magnetic fields exert a force on the charges that are flowing in currents (the
1109:) of the field is proportional to the force it exerts on a magnet. Another common representation is in
261:
6479:
2469:, gives the contribution of an isolated magnetic charge, so it is zero. The next three coefficients –
1668:, sediment cores taken from the ocean floors, and seafloor magnetic anomalies. Reversals occur nearly
1615:. The records typically include long periods of small change with occasional large changes reflecting
1274:
1262:
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6392:
2609:
2432:
2302:
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2221:
1849:
1572:
1520:
815:
776:
303:
293:
233:
228:
168:
5324:
4638:"Earth's Center Is 1,000 Degrees Hotter Than Previously Thought, Synchrotron X-Ray Experiment Shows"
4010:
3799:
2664:
2286:
A model of short-wavelength features of Earth's magnetic field, attributed to lithospheric anomalies
8141:
8055:
7857:
7639:
7619:
7511:
7390:
5114:
1508:: map showing locations of observatories and contour lines giving horizontal magnetic intensity in
1418:
313:
3219:
899:: these convection currents are caused by heat escaping from the core, a natural process called a
746:
248:
16:
Magnetic field that extends from the Earth's outer and inner core to where it meets the solar wind
7867:
7740:
7735:
7548:
7347:
6529:
6143:
4637:
4207:
2951:
2675:
2225:
2005:
1174:
626:
153:
143:
138:
6448:
Sweeps are in 10° steps at 10 years intervals. Based on data from: The Institute of Geophysics,
5809:
751:
721:
7862:
7852:
7692:
6709:
6611:
5822:"Anthropogenic electromagnetic noise disrupts magnetic compass orientation in a migratory bird"
3794:
2810:
2785:
2413:
to two dipoles brought together. A quadrupole field is shown in the lower figure on the right.
2294:
2265:
2247:
1757:
1700:
1528:
1167:
923:
919:
573:
343:
118:
6438:
3424:
3397:
3370:
2360:
circles of equal latitude. The function changes sign each ℓtime it crosses one of these lines.
1867:. The magnetic field is generated by a feedback loop: current loops generate magnetic fields (
1250:
8554:
8108:
7662:
7301:
7296:
7128:
6787:
6688:
6672:
6568:
6558:
4857:
2734:
1841:
1837:
1760:
in South Africa have concluded that the magnetic field has been present since at least about
1616:
1468:
1022:
896:
671:
358:
348:
298:
288:
5524:
5419:
4553:
4223:
4043:
3927:
2589:
2210:
2155:
conductive, the interaction is relatively weak: the strongest component is from the regular
8269:
8221:
7993:
7697:
6263:
6212:
6188:
6160:
6102:
6047:
5833:
5737:
5679:
5579:
5415:
5308:
5188:
5151:
5077:
5018:
4946:
4911:
4866:
4792:
4674:
4590:
4549:
4467:
4399:
4344:
4306:
4293:
Usui, Yoichi; Tarduno, John A.; Watkeys, Michael; Hofmann, Axel; Cottrell, Rory D. (2009).
4265:
4219:
4103:
4039:
3984:
3923:
3786:
3485:
3016:
2912:
2841:
2780:
2601:
2368:
Example of a quadrupole field. This can also be constructed by moving two dipoles together.
2202:
2130:
2001:
1845:
1833:
1669:
1651:
1555:
1356:
contribution, so the poles do not coincide and compasses do not generally point at either.
1240:
1221:
1053:
946:
796:
696:
661:
413:
278:
178:
163:
98:
1711:, the direction of the field is "frozen" in small minerals as they cool, giving rise to a
35:
8:
8559:
8412:
8369:
8203:
8146:
7988:
7980:
7956:
7479:
7405:
7189:
7153:
7123:
6870:
6822:
6553:
6548:
3871:
3476:
Campbell, Wallace A. (1996). ""Magnetic" pole locations on global charts are incorrect".
3451:
2373:
2323:
1741:
1524:
1353:
1193:
1152:
1034:
994:
954:
950:
911:
756:
736:
731:
538:
523:
408:
378:
273:
203:
6267:
6216:
6164:
6106:
6051:
5837:
5741:
5683:
5668:"Extremely low-frequency electromagnetic fields disrupt magnetic alignment of ruminants"
5583:
5402:
Finlay, CC; Maus, S; Beggan, CD; Hamoudi, M.; Lowes, FJ; Olsen, N; Thébault, E. (2010).
5312:
5192:
5163:
5155:
5081:
5022:
4950:
4915:
4870:
4796:
4678:
4594:
4471:
4403:
4348:
4310:
4269:
4107:
3988:
3909:"Eastward and westward drift of the Earth's magnetic field for the last three millennia"
3790:
3489:
3020:
2916:
2845:
2328:
8281:
7750:
7322:
7143:
7082:
7034:
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6637:
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6563:
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6279:
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5774:
5702:
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5595:
5433:
5212:
5137:
5039:
5006:
4884:
4816:
4368:
4134:
4091:
4000:
3820:
3812:
3656:"Shields Up! A breeze of interstellar helium atoms is blowing through the solar system"
3501:
2857:
2679:
2639:
and other variations to be considered. Some examples are (see geomag.us ref for more):
2636:
2042:
1733:
1680:, takes the dipole axis across the equator and then back to the original polarity. The
1588:
Changes in Earth's magnetic field on a time scale of a year or more are referred to as
1449:
1042:
1030:
1011:
888:
868:
631:
371:
173:
133:
6234:
North Pole, South Pole: The epic quest to solve the great mystery of Earth's magnetism
5231:
4613:
4578:
4092:"Rapid geomagnetic changes inferred from Earth observations and numerical simulations"
3874:(2007). "Dipole Moment Variation". In Gubbins, David; Herrero-Bervera, Emilio (eds.).
3274:
453:
8500:
8477:
8397:
8364:
7782:
7765:
7726:
7672:
7589:
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7415:
7239:
7133:
6596:
6325:
6303:
6237:
6130:
6125:
6088:
6075:
6070:
6033:
5990:
5967:
5944:
5921:
5857:
5849:
5792:
5707:
5648:
5363:
5353:
5204:
5095:
5044:
4958:
4808:
4716:
4690:
4618:
4562:
4537:
4485:
4417:
4360:
4162:
4139:
4121:
3887:
3612:
3505:
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3403:
3376:
3148:
3123:
3098:
3073:
2925:
2900:
2748:
2593:
2397:
2260:
companies also use magnetic detectors to identify naturally occurring anomalies from
2217:
1684:
is an example of an excursion, occurring during the last ice age (41,000 years ago).
1657:
1638:
1464:
1337:
1323:
1130:
691:
6419:
6283:
6254:(1954). "On the relation between telluric currents and the earth's magnetic field".
5804:
5599:
5357:
4888:
4372:
4066:"Simulations show magnetic field can change 10 times faster than previously thought"
3824:
2238:
The military determines local geomagnetic field characteristics, in order to detect
1580:
8523:
8518:
8424:
8291:
8276:
8153:
8133:
8075:
7928:
7913:
7776:
7420:
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7227:
7148:
7118:
7044:
7029:
6939:
6780:
6693:
6662:
6601:
6271:
6220:
6168:
6120:
6110:
6065:
6055:
5869:
5841:
5784:
5745:
5697:
5687:
5640:
5587:
5476:
5423:
5320:
5316:
5216:
5196:
5179:
5159:
5085:
5068:
5034:
5026:
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4919:
4874:
4820:
4800:
4783:
4682:
4608:
4598:
4557:
4511:
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4407:
4352:
4314:
4273:
4227:
4129:
4111:
4047:
4004:
3992:
3931:
3879:
3804:
3698:
3493:
3168:
3024:
2959:
2930:
2920:
2861:
2849:
2790:
2775:
2700:
2332:
Schematic representation of spherical harmonics on a sphere and their nodal lines.
2277:
2034:
1853:
1727:
1476:
1436:. Many cosmic rays are kept out of the Solar System by the Sun's magnetosphere, or
1414:
1318:
1057:
958:
927:
884:
876:
791:
706:
666:
656:
543:
498:
481:
398:
333:
103:
27:
5437:
4686:
3169:"Magnetoreception | The Lohmann Lab – University of North Carolina at Chapel Hill"
1775:
1584:
Strength of the axial dipole component of Earth's magnetic field from 1600 to 2020
1475:
damaged more than a third of NASA's satellites. The largest documented storm, the
1290:
8419:
8402:
8359:
8349:
8241:
7923:
7918:
7380:
7342:
7168:
6970:
6944:
6891:
6714:
6469:
6456:
6445:
6426:
6332:
5454:
5007:"Estimating global ocean heat content from tidal magnetic satellite observations"
4708:
4206:
Nowaczyk, N. R.; Arz, H. W.; Frank, U.; Kind, J.; Plessen, B. (16 October 2012).
4017:
3883:
3048:
2805:
2800:
2403:
2107:
1788:
1623:
1026:
922:
actually represents the South pole of Earth's magnetic field, and conversely the
907:
726:
651:
646:
513:
388:
353:
213:
113:
5885:"Electromagnetic Interference Disrupts Bird Navigation, Hints at Quantum Action"
3632:
Darrouzet, Fabien; De Keyser, Johan; Escoubet, C. Philippe (10 September 2013).
2420:(function of position) that satisfies certain properties. A magnetic field is a
766:
8533:
8452:
8442:
8306:
8301:
8060:
8050:
7949:
7877:
7657:
7385:
7362:
7352:
7332:
7215:
7163:
7097:
7059:
7054:
7006:
6886:
6642:
6433:
5963:
5030:
4480:
4455:
4231:
4116:
4051:
3935:
2762:
2706:
1681:
1500:
1227:
962:
864:
686:
681:
503:
393:
318:
268:
218:
191:
148:
123:
93:
86:
7462:
5960:
The magnetic field of the earth: paleomagnetism, the core, and the deep mantle
5788:
4254:"Paleomagnetic Evidence for the Existence of the Geomagnetic Field 3.5 Ga Ago"
2935:
2742:
1348:
is the line where the inclination is zero (the magnetic field is horizontal).
1083:. Facing magnetic North, the angle the field makes with the horizontal is the
844:
8548:
8462:
8392:
8344:
8311:
8183:
8173:
8163:
8123:
8118:
7872:
7707:
7702:
7614:
7609:
7534:
7400:
7194:
6975:
6911:
6860:
6493:. Vol. 17 (11th ed.). Cambridge University Press. pp. 353–385.
6484:
6478:
6251:
6151:
5853:
5613:
5115:"The Intensity of the Earth's Magnetic Force Reduced to Absolute Measurement"
4992:
4715:(New millennium ed.). New York: BasicBooks. pp. 13–3, 15–14, 17–2.
4421:
4125:
3041:
2688:
2084:
1876:
1811:
1576:
Estimated declination contours by year, 1590 to 1990 (click to see variation)
1460:
1402:
that extends beyond 200 Earth radii. Sunward of the magnetopause is the
1365:
1038:
966:
801:
786:
771:
711:
423:
338:
323:
238:
223:
128:
6411:
5692:
5428:
5403:
5261:
4356:
4278:
4253:
3724:
8505:
8467:
8457:
8447:
8387:
8168:
8013:
8003:
7903:
7634:
7629:
7604:
7425:
7077:
7001:
6934:
6929:
6896:
6719:
6134:
6115:
6079:
5861:
5796:
5711:
5652:
5591:
5208:
5099:
5048:
4901:
4812:
4694:
4622:
4603:
4489:
4364:
4143:
3808:
3399:
Planet Earth: Cosmology, Geology, and the Evolution of Life and Environment
2876:
2710:
2421:
2417:
2350:
2290:
2114:
1753:
1643:
1551:
1512:
1445:
1433:
1422:
1410:
1395:
1391:
1380:
1341:
1187:
1148:
1144:
1095:
1018:
781:
676:
641:
583:
518:
438:
403:
283:
158:
6498:
6463:
Patterns in Earth's magnetic field that evolve on the order of 1,000 years
6384:
6060:
5644:
2963:
2430:, each component is the derivative of the same scalar function called the
1863:
The mechanism by which the Earth generates a magnetic field is known as a
1599:
A prominent feature in the non-dipolar part of the secular variation is a
1492:
1428:
As well as deflecting the solar wind, the Earth's magnetic field deflects
1134:
Common coordinate systems used for representing the Earth's magnetic field
8264:
8070:
7998:
7908:
7814:
7677:
7667:
7317:
7158:
7024:
6980:
6965:
6291:
4879:
4852:
4412:
4387:
4319:
4294:
3523:
2660:
2257:
2254:
2250:
or towed as an instrument or an array of instruments from surface ships.
2232:
1857:
1692:
1535:
1437:
1399:
990:
986:
978:
701:
553:
383:
45:
6089:"Deep-Earth reactor: Nuclear fission, helium, and the geomagnetic field"
6014:"Earth's core may have hardened just in time to save its magnetic field"
5958:
Merrill, Ronald T.; McElhinny, Michael W.; McFadden, Phillip L. (1996).
5845:
5545:
4853:"Recent geodynamo simulations and observations of the geomagnetic field"
4804:
2554:. The magnetic field, being a derivative of the potential, drops off as
1676:, occurred about 780,000 years ago. A related phenomenon, a geomagnetic
8354:
8321:
8296:
8178:
8098:
8008:
7649:
7599:
7573:
7568:
7357:
7282:
7138:
7113:
7092:
7069:
6996:
6901:
6543:
6415:, History of the discovery of Earth's magnetic field by David P. Stern.
4635:
3816:
2770:
2409:
2378:
2282:
2156:
2095:
1762:
1429:
1370:
1198:
982:
970:
915:
872:
418:
7210:
6842:
6275:
6172:
5498:
3497:
3268:
3266:
3028:
2293:
detect minute deviations in the Earth's magnetic field caused by iron
1327:
The movement of Earth's North Magnetic Pole across the Canadian arctic
1208:(map of inclination contours) for the Earth's magnetic field is shown
8286:
8231:
8216:
8188:
8158:
8085:
8018:
7898:
7893:
7594:
7563:
7184:
7039:
6906:
6667:
6336:. American Geophysical Union Geomagnetism and Paleomagnetism Section.
4923:
3996:
2853:
2795:
2049:
2048:
The first term on the right hand side of the induction equation is a
1864:
1708:
1696:
1403:
900:
741:
716:
528:
50:
5750:
5725:
5351:
5200:
5090:
5063:
2901:"International Geomagnetic Reference Field: the eleventh generation"
2364:
1413:, a donut-shaped region containing low-energy charged particles, or
989:
that would otherwise strip away the upper atmosphere, including the
973:
that is defined by the extent of Earth's magnetic field in space or
5455:"The International Geomagnetic Reference Field: A "Health" Warning"
4456:"Earth's magnetic field is acting up and geologists don't know why"
3263:
2543:
The remaining terms predict that the potential of a dipole source (
2407:
is equivalent to two opposing charges brought close together and a
2099:
974:
493:
488:
108:
7503:
5779:
1006:
Calculations of the loss of carbon dioxide from the atmosphere of
8379:
8256:
8226:
8042:
8023:
7745:
7446:
7016:
6803:
4991:
This article incorporates text from this source, which is in the
4977:
2401:
is an isolated magnetic charge, which has never been observed. A
1799:
1779:
Variations in virtual axial dipole moment since the last reversal
1539:
1432:, high-energy charged particles that are mostly from outside the
1239:
Components of the Earth's magnetic field at the surface from the
942:
931:
463:
5666:
Burda, H.; Begall, S.; Cerveny, J.; Neef, J.; Nemec, P. (2009).
3120:
Looking into the Earth: An introduction to Geological Geophysics
8246:
8113:
8093:
7799:
7771:
7553:
6352:
5986:
4090:
Davies, Christopher J.; Constable, Catherine G. (6 July 2020).
2523:
can be split into two terms: one that decreases with radius as
2298:
2206:
2182:
1795:
1740:, part of which is shown in the image. This forms the basis of
1665:
1596:
thousand years, and the current rate of change is not unusual.
1546:
1509:
1453:
1306:
548:
55:
6449:
5404:"Evaluation of candidate geomagnetic field models for IGRF-11"
3297:"Ancient lava reveals secrets of Earth's magnetic field cycle"
2297:, kilns, some types of stone structures, and even ditches and
1041:
rocks and sediments. The field also magnetizes the crust, and
8434:
8211:
8193:
8033:
7972:
7251:
4333:
3849:
3634:"Cluster shows plasmasphere interacting with Van Allen belts"
2691:
research has produced models dating back to 10,000 BCE.
1723:
1178:
the Earth's magnetic field related to deep Earth processes."
957:
respectively, abruptly switch places. These reversals of the
849:
6430:, Educational web site by David P. Stern and Mauricio Peredo
5630:
3748:"Sun Often "Tears Out A Wall" In Earth's Solar Storm Shield"
8485:
8103:
7430:
6340:
6093:
6038:
5239:
2652:
2648:
1046:
1007:
892:
6772:
5819:
5764:
5005:
Irrgang, Christopher; Saynisch, Jan; Thomas, Maik (2019).
3631:
2678:(EMM), which extends to degree and order 790 and resolves
2667:, and primary/induced magnetosphere/ionosphere variations.
1871:); a changing magnetic field generates an electric field (
1794:
The Earth's magnetic north pole is drifting from northern
977:. It extends several tens of thousands of kilometres into
910:
currently tilted at an angle of about 11° with respect to
6225:
10.1130/0016-7606(1984)95<221:TAGVFA>2.0.CO;2
4829:"First Measurement Of Magnetic Field Inside Earth's Core"
4665:
Buffett, B. A. (2000). "Earth's Core and the Geodynamo".
4636:
European Synchrotron Radiation Facility (25 April 2013).
4292:
4161:(2nd ed.). Amsterdam: Elsevier Science. p. 38.
3247:. National High Magnetic Field Laboratory. Archived from
2261:
880:
7941:
5957:
5176:
4768:
4756:
4744:
4385:
4193:
4181:
4029:
3272:
3206:
2891:
2608:(formerly the National Geophysical Data Center) and the
2004:, which is inversely proportional to the product of the
1499:: a set of traces from magnetic observatories showing a
5401:
3585:
3583:
3581:
3579:
3577:
2175:
Sea level magnetic fields observed by satellites (NASA)
6439:
Global evolution/anomaly of the Earth's magnetic field
5665:
4504:"How does the Earth's core generate a magnetic field?"
3522:. Woods Hole Oceanographic Institution. Archived from
2897:
2582:
International Association of Geomagnetism and Aeronomy
1459:
The varying conditions in the magnetosphere, known as
1421:, with high-energy ions (energies from 0.1 to 10
918:
placed at that angle through the center of Earth. The
6326:
Geomagnetism & Paleomagnetism background material
5004:
2062:
1896:
981:, protecting Earth from the charged particles of the
5569:
5263:
Geologic Applications of Modern Aeromagnetic Surveys
4251:
4205:
3776:
3574:
3458:. Dept. of Physics and Astronomy, Georgia State Univ
3068:
McElhinny, Michael W.; McFadden, Phillip L. (2000).
2724:
2233:
International Real-time Magnetic Observatory Network
2201:
The Earth's magnetic field strength was measured by
3006:
2584:maintains a standard global field model called the
1699:, that can carry a permanent magnetic moment. This
5136:
3907:Dumberry, Mathieu; Finlay, Christopher C. (2007).
3848:. Canadian Geological Survey. 2011. Archived from
3368:
2643:The "comprehensive modeling" (CM) approach by the
2075:
1973:
1155:has a field of about 10,000 μT (100 G).
6296:Introduction to Geomagnetically Trapped Radiation
6086:
4936:
4510:. United States Geological Survey. Archived from
3779:Philosophical Transactions of the Royal Society A
3723:. Space Weather Prediction Center. Archived from
3067:
2831:
2424:, but if it is expressed in Cartesian components
1816:
8546:
6087:Hollenbach, D. F.; Herndon, J. M. (2001-09-25).
5457:. National Geophysical Data Center. January 2010
5359:This Dynamic Earth: The Story of Plate Tectonics
5259:
4252:McElhinney, T. N. W.; Senanayake, W. E. (1980).
3864:
2827:
2825:
2632:as well as in many civilian navigation systems.
1534:Frequently, the Earth's magnetosphere is hit by
1406:, the area where the solar wind slows abruptly.
1143:The intensity of the field is often measured in
5937:Our Magnetic Earth: The Science of Geomagnetism
5672:Proceedings of the National Academy of Sciences
5236:Comprehensive Modeling of the Geomagnetic Field
4583:Proceedings of the National Academy of Sciences
4089:
3876:Encyclopedia of Geomagnetism and Paleomagnetism
3402:. UK: Cambridge University Press. p. 228.
3093:Opdyke, Neil D.; Channell, James E. T. (1996).
3063:
3061:
3059:
3057:
1787:The nature of Earth's magnetic field is one of
6434:International Geomagnetic Reference Field 2011
5718:
5550:National Centers for Environmental Information
5449:
5447:
5291:
4984:. Scientific Visualization Studio. 2016-12-30.
4660:
4658:
3974:
3906:
3092:
3051:. Scign.jpl.nasa.gov. Retrieved on 2012-01-27.
2672:National Centers for Environmental Information
2606:National Centers for Environmental Information
1840:, with a radius of 1220 km, and a liquid
1687:The past magnetic field is recorded mostly by
7957:
7519:
7267:
6788:
6514:
6034:"Substructure of the inner core of the Earth"
5143:Annual Review of Earth and Planetary Sciences
4437:"North Magnetic Pole Moving Due to Core Flux"
3602:
3600:
3598:
3545:
3543:
3541:
2822:
2271:
1340:in 1831 to 600 kilometres (370 mi) from
1025:are thus detectable as "stripes" centered on
961:leave a record in rocks that are of value to
823:
6495:(with dozens of tables and several diagrams)
5170:
4939:Physics of the Earth and Planetary Interiors
4579:"Structural Geology of the Earth's Interior"
4392:Journal of Geophysical Research: Solid Earth
4187:
3478:Eos, Transactions American Geophysical Union
3443:
3275:The US/UK World Magnetic Model for 2020–2025
3054:
2183:Currents in the ionosphere and magnetosphere
1045:can be used to search for deposits of metal
871:out into space, where it interacts with the
6528:
5444:
5383:
4972:
4970:
4968:
4850:
4846:
4844:
4655:
4286:
3770:
3745:
3220:"An Overview of the Earth's Magnetic Field"
3117:
2604:, is produced jointly by the United States
2191:
1736:of lava flows has been used to establish a
1707:, can be acquired in more than one way. In
1633:
1398:out but the other side stretching out in a
1209:
1163:
7964:
7950:
7526:
7512:
7274:
7260:
6795:
6781:
6521:
6507:
6380:. National Geographic, September 27, 2004.
5112:
3968:
3595:
3538:
2949:
2072:
1300:Dipole model of the Earth's magnetic field
830:
816:
34:
6407:. Projects in Scientific Computing, 1996.
6124:
6114:
6069:
6059:
5778:
5749:
5701:
5691:
5659:
5427:
5089:
5061:
5038:
4878:
4740:
4738:
4736:
4734:
4732:
4612:
4602:
4561:
4479:
4411:
4318:
4277:
4133:
4115:
3870:
3798:
3609:Physics of space plasmas: an introduction
3369:Serway, Raymond A.; Chris Vuille (2006).
3342:
3322:"Geomagnetism Frequently Asked Questions"
3202:
3200:
3198:
3196:
3194:
3192:
3190:
3188:
3186:
3184:
3118:Mussett, Alan E.; Khan, M. Aftab (2000).
2934:
2924:
2868:
2586:International Geomagnetic Reference Field
1233:
1158:A map of intensity contours is called an
6420:Exploration of the Earth's Magnetosphere
6144:"Magnetic monitoring of Earth and space"
6011:
5911:
5389:
5347:
5345:
4965:
4841:
4538:"Dynamos in planets, stars and galaxies"
4531:
4529:
4435:Lovett, Richard A. (December 24, 2009).
4156:
4023:
3956:
3900:
3684:
3611:. Redwood City, Calif.: Addison-Wesley.
3549:
3475:
3395:
3389:
3345:"The Earth Has More Than One North Pole"
2363:
2327:
2281:
2161:
2149:
2094:The motion of the fluid is sustained by
1823:
1774:
1637:
1579:
1571:
1491:
1487:
1369:
1322:
1289:
1285:
1129:
843:
6031:
5934:
5499:"Geomagnetic and Electric Field Models"
4851:Kono, Masaru; Roberts, Paul H. (2002).
4780:
4762:
4750:
4707:
4664:
3589:
3422:
3416:
2630:International Hydrographic Organization
2600:Another global field model, called the
579:Electromagnetism and special relativity
8547:
6231:
6205:Geological Society of America Bulletin
4769:Merrill, McElhinny & McFadden 1996
4757:Merrill, McElhinny & McFadden 1996
4745:Merrill, McElhinny & McFadden 1996
4729:
4576:
4434:
4194:Merrill, McElhinny & McFadden 1996
4182:Merrill, McElhinny & McFadden 1996
4175:
3836:
3834:
3746:Steigerwald, Bill (16 December 2008).
3636:(Press release). European Space Agency
3375:. USA: Cengage Learning. p. 493.
3362:
3207:Merrill, McElhinny & McFadden 1996
3181:
3142:
2874:
2416:Spherical harmonics can represent any
2317:
1879:). These effects can be combined in a
1747:
7945:
7507:
7255:
6776:
6502:
6476:
6377:Why Does Earth's Magnetic Field Flip?
6202:
6012:Gramling, Carolyn (1 February 2019).
5983:Paleomagnetic Principles and Practice
5980:
5342:
4535:
4526:
4453:
3962:
3878:. Springer-Verlag. pp. 159–161.
3606:
3070:Paleomagnetism: Continents and Oceans
2879:. University of California Santa Cruz
2460:The lowest-degree Gauss coefficient,
2353:passing through the poles, and along
2308:
2029:is the time derivative of the field;
1642:Geomagnetic polarity during the late
883:. The magnetic field is generated by
599:Maxwell equations in curved spacetime
8496:Geology of solar terrestrial planets
7486:
6755:
6290:
6250:
6141:
4299:Geochemistry, Geophysics, Geosystems
3687:"The great solar superstorm of 1859"
3449:
3343:Casselman, Anne (28 February 2008).
3314:
3242:
2978:"Solar wind ripping chunks off Mars"
2952:"Solar wind hammers the ozone layer"
2618:Ministry of Defence (United Kingdom)
2499:
2246:are flown in aircraft like the UK's
1561:
7533:
7234:
5882:
5294:"Basalts from the Deep Ocean Floor"
5164:10.1146/annurev.ea.16.050188.002133
4454:Witze, Alexandra (9 January 2019).
4212:Earth and Planetary Science Letters
4032:Earth and Planetary Science Letters
3916:Earth and Planetary Science Letters
3831:
3752:THEMIS: Understanding space weather
3662:. 27 September 2004. Archived from
3552:"Earth's Inconstant Magnetic Field"
3550:Phillips, Tony (29 December 2003).
2950:Shlermeler, Quirin (3 March 2005).
2614:United States Department of Defense
2124:
2083:), there would be no diffusion. By
914:axis, as if there were an enormous
13:
6004:
5914:Introduction to geomagnetic fields
5479:. National Geophysical Data Center
3324:. National Geophysical Data Center
2984:. 25 November 2008. Archived from
2626:North Atlantic Treaty Organization
2069:
1943:
1926:
1910:
1900:
1883:for the magnetic field called the
1805:
1482:
1063:
14:
8576:
7827:Sura Ionospheric Heating Facility
6318:
6181:"Temperature of the Earth's core"
5767:Journal of Comparative Physiology
5064:"Spectroscopy: NMR down to Earth"
4978:"Ocean Tides and Magnetic Fields"
2905:Geophysical Journal International
2076:{\displaystyle \sigma =\infty \;}
1660:trade places. Evidence for these
1312:
8529:
8528:
8032:
7485:
7474:
7473:
7461:
7233:
7222:
7221:
7209:
6841:
6754:
6743:
6742:
6236:. New York, NY: The Experiment.
5229:
4986:
4563:10.1046/j.1468-4004.2002.43309.x
2926:10.1111/j.1365-246X.2010.04804.x
2755:
2741:
2727:
2575:
1961:
1953:
1936:
1904:
1409:Inside the magnetosphere is the
1359:
1273:
1261:
1249:
8237:Human impact on the environment
6346:United States Geological Survey
5876:
5813:
5758:
5633:Journal of Experimental Biology
5624:
5606:
5563:
5538:
5509:
5491:
5469:
5395:
5285:
5253:
5223:
5130:
5106:
5055:
4998:
4930:
4895:
4774:
4713:The Feynman lectures on physics
4701:
4629:
4570:
4496:
4447:
4428:
4379:
4327:
4258:Journal of Geophysical Research
4245:
4199:
4150:
4083:
4058:
3739:
3713:
3678:
3648:
3625:
3512:
3469:
3429:. USA: CRC Press. p. 148.
3336:
3289:
3236:
3212:
3161:
3136:
3111:
2694:
2657:Danish Space Research Institute
2622:Federal Aviation Administration
2561:. Quadrupole terms drop off as
1738:geomagnetic polarity time scale
1717:detrital remanent magnetization
1609:paleomagnetic secular variation
1147:, but is generally reported in
1000:
8066:Climate variability and change
7281:
6480:"Magnetism, Terrestrial"
5321:10.1180/minmag.1965.034.268.32
4159:Geomagnetism in marine geology
3122:. Cambridge University Press.
3086:
3035:
3000:
2970:
2943:
1990:is the velocity of the fluid;
1965:
1949:
1817:Earth's core and the geodynamo
1622:A 1995 study of lava flows on
1215:
1181:
1:
8491:Evolution of the Solar System
7683:Interplanetary magnetic field
7625:Magnetosphere particle motion
6341:National Geomagnetism Program
6032:Herndon, J. M. (1996-01-23).
5912:Campbell, Wallace H. (2003).
5546:"The Enhanced Magnetic Model"
4687:10.1126/science.288.5473.2007
3372:Essentials of college physics
2816:
2382:is the absolute value of the
1996:is the magnetic B-field; and
1881:partial differential equation
1568:Geomagnetic secular variation
1527:, particularly the iron-rich
1473:the "Halloween" storm of 2003
1385:interplanetary magnetic field
995:harmful ultraviolet radiation
604:Relativistic electromagnetism
8242:Evolutionary history of life
4959:10.1016/0031-9201(95)03049-3
3884:10.1007/978-1-4020-4423-6_67
3426:Static Fields and Potentials
3009:Geophysical Research Letters
2196:
1713:thermoremanent magnetization
1613:paleosecular variation (PSV)
1138:
7:
8565:Magnetic field of the Earth
7421:Precession of the equinoxes
6866:Geological history of Earth
6802:
6730:Charles Thomson Rees Wilson
6628:Upper-atmospheric lightning
6412:The Great Magnet, the Earth
6362:Will Compasses Point South?
5941:University of Chicago Press
5935:Merrill, Ronald T. (2010).
5232:"Satellite Magnetic Models"
2720:
2645:Goddard Space Flight Center
1885:magnetic induction equation
10:
8581:
8030:
7688:Heliospheric current sheet
7338:Geophysical fluid dynamics
6839:
6300:Cambridge University Press
5918:Cambridge University Press
5916:(2nd ed.). New York:
5905:
5883:Hsu, Jeremy (9 May 2014).
5477:"The World Magnetic Model"
5031:10.1038/s41598-019-44397-8
4481:10.1038/d41586-019-00007-1
4232:10.1016/j.epsl.2012.06.050
4117:10.1038/s41467-020-16888-0
4052:10.1016/j.epsl.2014.05.036
4009:(also available online at
3936:10.1016/j.epsl.2006.11.026
2698:
2321:
2275:
2272:Crustal magnetic anomalies
2244:magnetic anomaly detectors
1809:
1689:strongly magnetic minerals
1649:
1565:
1363:
1316:
1297:
1219:
1185:
937:While the North and South
329:Liénard–Wiechert potential
8514:
8476:
8433:
8378:
8320:
8255:
8202:
8132:
8084:
8041:
7979:
7971:
7886:
7835:
7792:
7716:
7648:
7582:
7541:
7455:
7439:
7371:
7310:
7289:
7203:
7177:
7106:
7068:
7015:
6989:
6953:
6920:
6880:Composition and structure
6879:
6851:
6833:Index of geology articles
6810:
6738:
6702:
6681:
6655:
6620:
6589:
6582:
6536:
6142:Love, Jeffrey J. (2008).
5789:10.1007/s00359-011-0628-7
5260:William F. Hanna (1987).
5062:Stepišnik, Janez (2006).
4157:Vacquier, Victor (1972).
3607:Parks, George K. (1991).
3520:"The Magnetic North Pole"
3396:Emiliani, Cesare (1992).
2610:British Geological Survey
2303:archaeological geophysics
2222:British Geological Survey
1850:planetary differentiation
1770:
1752:Paleomagnetic studies of
1674:Brunhes–Matuyama reversal
1521:ionospheric dynamo region
1419:Van Allen radiation belts
993:that protects Earth from
594:Mathematical descriptions
304:Electromagnetic radiation
294:Electromagnetic induction
234:Magnetic vector potential
229:Magnetic scalar potential
8501:Location in the Universe
8443:Antarctic/Southern Ocean
8142:List of sovereign states
7640:Van Allen radiation belt
7620:Magnetosphere chronology
6232:Turner, Gillian (2011).
5726:"Biology: Electric cows"
5408:Earth, Planets and Space
4542:Astronomy and Geophysics
2192:Measurement and analysis
2104:compositional convection
2056:In a perfect conductor (
1634:Magnetic field reversals
7549:Atmospheric circulation
7348:Near-surface geophysics
6530:Atmospheric electricity
6490:Encyclopædia Britannica
6477:Chree, Charles (1911).
6399:. about pole reversals)
5693:10.1073/pnas.0811194106
5618:geomagia.gfz-potsdam.de
5614:"The GEOMAGIA database"
5429:10.5047/eps.2010.11.005
5420:2010EP&S...62..787F
5292:G. D. Nicholls (1965).
4554:2002A&G....43c...9W
4357:10.1126/science.1183445
4279:10.1029/JB085iB07p03523
4224:2012E&PSL.351...54N
4044:2014E&PSL.400..302C
3928:2007E&PSL.254..146D
3691:Technology Through Time
3685:Odenwald, Sten (2010).
3143:Temple, Robert (2006).
2676:Enhanced Magnetic Model
2226:Eskdalemuir Observatory
2089:frozen-in-field theorem
2006:electrical conductivity
1765: million years ago
1175:University of Liverpool
891:of a mixture of molten
848:Computer simulation of
144:Electrostatic induction
139:Electrostatic discharge
7559:Earth's magnetic field
7396:Earth's magnetic field
6710:Georg Wilhelm Richmann
6689:Electrodynamic tethers
6574:Earth's magnetic field
6187:. 1999. Archived from
6185:NEWTON Ask a Scientist
6116:10.1073/pnas.201393998
5592:10.1098/rsta.2000.0569
5301:Mineralogical Magazine
4604:10.1073/pnas.76.9.4192
4577:Jordan, T. H. (1979).
3809:10.1098/rsta.2000.0569
3754:. NASA. Archived from
3450:Nave, Carl R. (2010).
3042:Structure of the Earth
2811:South Atlantic Anomaly
2786:Magnetic field of Mars
2369:
2361:
2287:
2266:Kursk Magnetic Anomaly
2176:
2077:
1975:
1869:Ampère's circuital law
1856:) as well as decay of
1829:
1780:
1756:lava in Australia and
1701:remanent magnetization
1647:
1617:geomagnetic excursions
1585:
1577:
1516:
1376:
1328:
1295:
1234:Geographical variation
1168:South Atlantic Anomaly
1135:
1023:reversals of the field
947:Earth's field reverses
924:South geomagnetic pole
920:North geomagnetic pole
857:Earth's magnetic field
853:
574:Electromagnetic tensor
8222:Biogeochemical cycles
8147:dependent territories
7663:Coronal mass ejection
7583:Earth's magnetosphere
7468:Geophysics portal
7391:Earth's energy budget
7129:Environmental geology
6673:Equatorial electrojet
6569:Atmospheric chemistry
6404:When North Goes South
6061:10.1073/pnas.93.2.646
5645:10.1242/jeb.202.8.891
5352:Jacqueline W. Kious;
4858:Reviews of Geophysics
4536:Weiss, Nigel (2002).
4443:on December 28, 2009.
4096:Nature Communications
3423:Manners, Joy (2000).
3095:Magnetic Stratigraphy
2964:10.1038/news050228-12
2735:Earth sciences portal
2367:
2331:
2285:
2174:
2150:Effect of ocean tides
2078:
1976:
1827:
1778:
1662:geomagnetic reversals
1641:
1583:
1575:
1556:artificial satellites
1495:
1488:Short-term variations
1469:coronal mass ejection
1375:7) Plasmasphere.
1373:
1326:
1293:
1286:Dipolar approximation
1133:
887:due to the motion of
847:
567:Covariant formulation
359:Synchrotron radiation
299:Electromagnetic pulse
289:Electromagnetic field
8270:Computer cartography
7994:Prebiotic atmosphere
7836:Other magnetospheres
7698:Solar particle event
7088:Planetary geophysics
6559:Atmospheric dynamics
5981:Tauxe, Lisa (1998).
5362:. USGS. p. 17.
4880:10.1029/2000RG000102
4835:. December 17, 2010.
4413:10.1029/2023JB027706
4320:10.1029/2009GC002496
3872:Constable, Catherine
3224:www.geomag.bgs.ac.uk
2781:Geomagnetic latitude
2620:, the United States
2602:World Magnetic Model
2344:is equal to 0 along
2264:bodies, such as the
2203:Carl Friedrich Gauss
2131:magnetohydrodynamics
2060:
2002:magnetic diffusivity
1894:
1846:core-mantle boundary
1652:Geomagnetic reversal
1452:while also emitting
1241:World Magnetic Model
1222:Magnetic declination
1164:World Magnetic Model
1127:(Down) coordinates.
1054:magnetic declination
955:South Magnetic Poles
875:, a stream of
859:, also known as the
609:Stress–energy tensor
534:Reluctance (complex)
279:Displacement current
8413:Geologic time scale
8134:Culture and society
7989:Atmosphere of Earth
7440:Related disciplines
7406:Geothermal gradient
7190:Petroleum geologist
7154:Forensic geophysics
7124:Engineering geology
6871:Timeline of geology
6823:Glossary of geology
6554:Atmospheric physics
6549:Atmospheric science
6268:1954Geop...19..281W
6217:1984GSAB...95..221T
6165:2008PhT....61b..31H
6107:2001PNAS...9811085H
6052:1996PNAS...93..646H
5846:10.1038/nature13290
5838:2014Natur.509..353E
5742:2009Natur.458Q.389.
5736:(7237): 389. 2009.
5684:2009PNAS..106.5708B
5584:2000RSPTA.358..957J
5517:"Model information"
5313:1965MinM...34..373N
5193:2002Natur.416..620H
5156:1988AREPS..16..389C
5138:Courtillot, Vincent
5113:Gauss, C.F (1832).
5082:2006Natur.439..799S
5023:2019NatSR...9.7893I
4951:1995PEPI...91...63G
4916:1995PhPl....2.1421K
4871:2002RvGeo..40.1013K
4805:10.1038/nature09643
4797:2010Natur.468..952B
4709:Feynman, Richard P.
4679:2000Sci...288.2007B
4673:(5473): 2007–2012.
4595:1979PNAS...76.4192J
4472:2019Natur.565..143W
4404:2024JGRB..12927706N
4349:2010Sci...327.1238T
4343:(5970): 1238–1240.
4311:2009GGG....10.9Z07U
4270:1980JGR....85.3523M
4108:2020NatCo..11.3371D
3989:1995Natur.374..687C
3842:"Secular variation"
3791:2000RSPTA.358..957J
3490:1996EOSTr..77..345C
3349:Scientific American
3243:Palm, Eric (2011).
3145:The Genius of China
3021:1992GeoRL..19.2151L
2917:2010GeoJI.183.1216F
2846:1995Natur.377..203G
2374:spherical harmonics
2324:Multipole expansion
2318:Spherical harmonics
2220:, for example, the
2098:, motion driven by
1748:Earliest appearance
1742:magnetostratigraphy
1554:and disruptions in
1467:, can occur when a
1194:North Magnetic Pole
1153:refrigerator magnet
1035:magnetostratigraphy
889:convection currents
879:emanating from the
524:Magnetomotive force
409:Electromotive force
379:Alternating current
314:Jefimenko equations
274:Cyclotron radiation
8408:Geological history
8282:Geodetic astronomy
7323:Geophysical survey
7216:Geology portal
7144:Geologic modelling
7083:Geophysical survey
7035:Geodetic astronomy
6961:Structural geology
6922:Historical geology
6853:History of geology
6828:History of geology
6818:Outline of geology
6597:Radio atmospherics
6564:Atmospheric dynamo
6468:2018-07-20 at the
6455:2007-10-31 at the
6444:2016-06-24 at the
6425:2013-02-14 at the
6368:The New York Times
6359:William J. Broad,
6331:2013-03-03 at the
5521:ccmc.gsfc.nasa.gov
5011:Scientific Reports
4904:Physics of Plasmas
4514:on 18 January 2015
4196:, pp. 148–155
4016:2012-03-14 at the
3727:on 22 October 2013
3701:on 12 October 2009
3562:on 1 November 2022
3097:. Academic Press.
3072:. Academic Press.
3047:2013-03-15 at the
2936:20.500.11850/27303
2875:Glatzmaier, Gary.
2680:magnetic anomalies
2637:magnetic anomalies
2433:magnetic potential
2370:
2362:
2309:Statistical models
2288:
2177:
2073:
1971:
1830:
1781:
1734:Radiometric dating
1726:wells up from the
1648:
1586:
1578:
1517:
1465:geomagnetic storms
1377:
1329:
1296:
1136:
1043:magnetic anomalies
969:extends above the
912:Earth's rotational
897:Earth's outer core
867:that extends from
854:
372:Electrical network
209:Gauss magnetic law
174:Static electricity
134:Electric potential
8542:
8541:
8478:Planetary science
8398:Extremes on Earth
8365:Signal processing
7939:
7938:
7793:Research projects
7761:
7732:
7673:Geomagnetic storm
7590:Birkeland current
7501:
7500:
7416:Mantle convection
7249:
7248:
7134:Planetary geology
7050:Planetary geodesy
6770:
6769:
6651:
6650:
6621:Optical emissions
6590:ELF/VLF emissions
6309:978-0-521-61611-9
6276:10.1190/1.1437994
6243:978-1-61519-031-7
6173:10.1063/1.2883907
5996:978-0-7923-5258-7
5973:978-0-12-491246-5
5950:978-0-226-52050-6
5927:978-0-521-52953-2
5832:(7500): 353–356.
5578:(1768): 957–990.
5369:978-0-16-048220-5
5354:Robert I. Tilling
5187:(6881): 620–623.
5076:(7078): 799–801.
4791:(7326): 952–954.
4722:978-0-465-02494-0
4466:(7738): 143–144.
4168:978-0-08-087042-7
3983:(6524): 687–692.
3893:978-1-4020-3992-8
3785:(1768): 957–990.
3618:978-0-201-50821-5
3526:on 19 August 2013
3498:10.1029/96EO00237
3436:978-0-7503-0718-5
3409:978-0-521-40949-0
3382:978-0-495-10619-7
3154:978-0-671-62028-8
3147:. Andre Deutsch.
3129:978-0-521-78085-8
3104:978-0-12-527470-8
3079:978-0-12-483355-5
3029:10.1029/92GL02485
3015:(21): 2151–2154.
2840:(6546): 203–209.
2749:Geophysics portal
2500:Radial dependence
2438:Gauss coefficient
2218:Geological survey
2172:
1917:
1658:geomagnetic poles
1590:secular variation
1562:Secular variation
1338:Boothia Peninsula
1012:of its atmosphere
959:geomagnetic poles
885:electric currents
877:charged particles
861:geomagnetic field
840:
839:
539:Reluctance (real)
509:Gyrator–capacitor
454:Resonant cavities
344:Maxwell equations
8572:
8532:
8531:
8425:History of Earth
8076:Paleoclimatology
8036:
7966:
7959:
7952:
7943:
7942:
7777:Van Allen Probes
7759:
7730:
7542:Submagnetosphere
7528:
7521:
7514:
7505:
7504:
7489:
7488:
7477:
7476:
7466:
7465:
7411:Gravity of Earth
7276:
7269:
7262:
7253:
7252:
7237:
7236:
7225:
7224:
7214:
7213:
7149:Forensic geology
7119:Economic geology
7045:Gravity of Earth
6940:Paleoclimatology
6845:
6797:
6790:
6783:
6774:
6773:
6758:
6757:
6746:
6745:
6694:Magnetotellurics
6663:Solar irradiance
6587:
6586:
6583:Electromagnetism
6523:
6516:
6509:
6500:
6499:
6494:
6482:
6371:, July 13, 2004.
6353:BGS Geomagnetism
6348:, March 8, 2011.
6313:
6287:
6247:
6228:
6199:
6197:
6196:
6176:
6148:
6138:
6128:
6118:
6101:(20): 11085–90.
6083:
6073:
6063:
6028:
6026:
6024:
6000:
5977:
5954:
5931:
5900:
5899:
5897:
5895:
5880:
5874:
5873:
5817:
5811:
5808:
5782:
5762:
5756:
5755:
5753:
5722:
5716:
5715:
5705:
5695:
5663:
5657:
5656:
5628:
5622:
5621:
5610:
5604:
5603:
5567:
5561:
5560:
5558:
5556:
5548:. United States
5542:
5536:
5535:
5533:
5532:
5523:. Archived from
5513:
5507:
5506:
5495:
5489:
5488:
5486:
5484:
5473:
5467:
5466:
5464:
5462:
5451:
5442:
5441:
5431:
5399:
5393:
5387:
5381:
5380:
5378:
5376:
5349:
5340:
5339:
5337:
5335:
5329:
5323:. Archived from
5307:(268): 373–388.
5298:
5289:
5283:
5282:
5280:
5278:
5268:
5257:
5251:
5250:
5248:
5246:
5227:
5221:
5220:
5174:
5168:
5167:
5134:
5128:
5127:
5125:
5124:
5119:
5110:
5104:
5103:
5093:
5059:
5053:
5052:
5042:
5002:
4996:
4990:
4989:
4985:
4974:
4963:
4962:
4934:
4928:
4927:
4924:10.1063/1.871485
4910:(5): 1421–1431.
4899:
4893:
4892:
4882:
4848:
4839:
4836:
4824:
4778:
4772:
4766:
4760:
4754:
4748:
4742:
4727:
4726:
4705:
4699:
4698:
4662:
4653:
4652:
4650:
4648:
4633:
4627:
4626:
4616:
4606:
4589:(9): 4192–4200.
4574:
4568:
4567:
4565:
4548:(3): 3.09–3.15.
4533:
4524:
4523:
4521:
4519:
4500:
4494:
4493:
4483:
4451:
4445:
4444:
4439:. Archived from
4432:
4426:
4425:
4415:
4383:
4377:
4376:
4331:
4325:
4324:
4322:
4290:
4284:
4283:
4281:
4249:
4243:
4242:
4240:
4238:
4203:
4197:
4191:
4185:
4179:
4173:
4172:
4154:
4148:
4147:
4137:
4119:
4087:
4081:
4080:
4078:
4076:
4062:
4056:
4055:
4027:
4021:
4008:
3997:10.1038/374687a0
3972:
3966:
3960:
3954:
3953:
3951:
3950:
3944:
3938:. Archived from
3922:(1–2): 146–157.
3913:
3904:
3898:
3897:
3868:
3862:
3861:
3859:
3857:
3838:
3829:
3828:
3802:
3774:
3768:
3767:
3765:
3763:
3758:on 16 March 2010
3743:
3737:
3736:
3734:
3732:
3717:
3711:
3710:
3708:
3706:
3697:. Archived from
3682:
3676:
3675:
3673:
3671:
3652:
3646:
3645:
3643:
3641:
3629:
3623:
3622:
3604:
3593:
3587:
3572:
3571:
3569:
3567:
3558:. Archived from
3547:
3536:
3535:
3533:
3531:
3516:
3510:
3509:
3473:
3467:
3466:
3464:
3463:
3447:
3441:
3440:
3420:
3414:
3413:
3393:
3387:
3386:
3366:
3360:
3359:
3357:
3355:
3340:
3334:
3333:
3331:
3329:
3318:
3312:
3311:
3309:
3308:
3293:
3287:
3286:
3284:
3282:
3270:
3261:
3260:
3258:
3256:
3251:on 21 March 2013
3240:
3234:
3233:
3231:
3230:
3216:
3210:
3204:
3179:
3178:
3176:
3175:
3165:
3159:
3158:
3140:
3134:
3133:
3115:
3109:
3108:
3090:
3084:
3083:
3065:
3052:
3039:
3033:
3032:
3004:
2998:
2997:
2995:
2993:
2974:
2968:
2967:
2947:
2941:
2940:
2938:
2928:
2911:(3): 1216–1230.
2895:
2889:
2888:
2886:
2884:
2872:
2866:
2865:
2854:10.1038/377203a0
2829:
2791:Magnetotellurics
2776:Geomagnetic jerk
2765:
2760:
2759:
2751:
2746:
2745:
2737:
2732:
2731:
2730:
2701:Magnetoreception
2628:(NATO), and the
2571:
2567:
2560:
2553:
2546:
2539:
2529:
2522:
2513:
2495:
2486:
2477:
2468:
2456:
2447:
2429:
2390:
2359:
2349:
2343:
2278:Magnetic anomaly
2211:Ørsted satellite
2173:
2135:kinematic dynamo
2125:Numerical models
2082:
2080:
2079:
2074:
2040:
2035:Laplace operator
2032:
2028:
2017:
2010:
1999:
1995:
1989:
1980:
1978:
1977:
1972:
1964:
1956:
1939:
1934:
1933:
1918:
1916:
1908:
1907:
1898:
1854:iron catastrophe
1766:
1664:can be found in
1525:Earth's interior
1477:Carrington Event
1346:magnetic equator
1319:Geomagnetic pole
1277:
1265:
1253:
1160:isodynamic chart
1126:
1120:
1114:
1108:
1092:
1078:
1058:magnetoreception
1027:mid-ocean ridges
928:Ellesmere Island
869:Earth's interior
832:
825:
818:
499:Electric machine
482:Magnetic circuit
444:Parallel circuit
434:Network analysis
399:Electric current
334:London equations
179:Triboelectricity
169:Potential energy
38:
28:Electromagnetism
19:
18:
8580:
8579:
8575:
8574:
8573:
8571:
8570:
8569:
8545:
8544:
8543:
8538:
8510:
8472:
8429:
8420:Geologic record
8374:
8360:Plate tectonics
8350:Mineral physics
8330:Earth structure
8316:
8251:
8198:
8128:
8080:
8037:
8028:
7975:
7970:
7940:
7935:
7882:
7831:
7788:
7712:
7644:
7578:
7537:
7535:Magnetospherics
7532:
7502:
7497:
7460:
7451:
7435:
7386:Coriolis effect
7381:Chandler wobble
7373:
7367:
7343:Mineral physics
7306:
7285:
7280:
7250:
7245:
7208:
7199:
7173:
7169:Mineral physics
7102:
7064:
7011:
6985:
6971:Plate tectonics
6949:
6945:Palaeogeography
6916:
6892:Crystallography
6875:
6847:
6846:
6837:
6806:
6801:
6771:
6766:
6734:
6715:Egon Schweidler
6698:
6677:
6647:
6638:St. Elmo's fire
6616:
6578:
6532:
6527:
6473:. July 19, 2017
6470:Wayback Machine
6457:Wayback Machine
6446:Wayback Machine
6427:Wayback Machine
6333:Wayback Machine
6321:
6316:
6310:
6244:
6194:
6192:
6179:
6146:
6022:
6020:
6007:
6005:Further reading
5997:
5974:
5951:
5928:
5908:
5903:
5893:
5891:
5881:
5877:
5818:
5814:
5763:
5759:
5751:10.1038/458389a
5724:
5723:
5719:
5678:(14): 5708–13.
5664:
5660:
5629:
5625:
5612:
5611:
5607:
5568:
5564:
5554:
5552:
5544:
5543:
5539:
5530:
5528:
5515:
5514:
5510:
5497:
5496:
5492:
5482:
5480:
5475:
5474:
5470:
5460:
5458:
5453:
5452:
5445:
5414:(10): 787–804.
5400:
5396:
5388:
5384:
5374:
5372:
5370:
5350:
5343:
5333:
5331:
5330:on 16 July 2017
5327:
5296:
5290:
5286:
5276:
5274:
5266:
5258:
5254:
5244:
5242:
5230:Frey, Herbert.
5228:
5224:
5201:10.1038/416620a
5175:
5171:
5135:
5131:
5122:
5120:
5117:
5111:
5107:
5091:10.1038/439799a
5060:
5056:
5003:
4999:
4987:
4976:
4975:
4966:
4935:
4931:
4900:
4896:
4849:
4842:
4827:
4779:
4775:
4767:
4763:
4755:
4751:
4743:
4730:
4723:
4706:
4702:
4663:
4656:
4646:
4644:
4634:
4630:
4575:
4571:
4534:
4527:
4517:
4515:
4502:
4501:
4497:
4452:
4448:
4433:
4429:
4384:
4380:
4332:
4328:
4291:
4287:
4250:
4246:
4236:
4234:
4204:
4200:
4192:
4188:
4180:
4176:
4169:
4155:
4151:
4088:
4084:
4074:
4072:
4064:
4063:
4059:
4028:
4024:
4018:Wayback Machine
3973:
3969:
3961:
3957:
3948:
3946:
3942:
3911:
3905:
3901:
3894:
3869:
3865:
3855:
3853:
3852:on 25 July 2008
3840:
3839:
3832:
3800:10.1.1.560.5046
3775:
3771:
3761:
3759:
3744:
3740:
3730:
3728:
3719:
3718:
3714:
3704:
3702:
3683:
3679:
3669:
3667:
3666:on 21 June 2013
3654:
3653:
3649:
3639:
3637:
3630:
3626:
3619:
3605:
3596:
3592:, pages 126–141
3588:
3575:
3565:
3563:
3548:
3539:
3529:
3527:
3518:
3517:
3513:
3474:
3470:
3461:
3459:
3448:
3444:
3437:
3421:
3417:
3410:
3394:
3390:
3383:
3367:
3363:
3353:
3351:
3341:
3337:
3327:
3325:
3320:
3319:
3315:
3306:
3304:
3301:Cosmos Magazine
3295:
3294:
3290:
3280:
3278:
3271:
3264:
3254:
3252:
3241:
3237:
3228:
3226:
3218:
3217:
3213:
3205:
3182:
3173:
3171:
3167:
3166:
3162:
3155:
3141:
3137:
3130:
3116:
3112:
3105:
3091:
3087:
3080:
3066:
3055:
3049:Wayback Machine
3040:
3036:
3005:
3001:
2991:
2989:
2988:on 4 March 2016
2976:
2975:
2971:
2948:
2944:
2896:
2892:
2882:
2880:
2877:"The Geodynamo"
2873:
2869:
2830:
2823:
2819:
2806:Rings of Saturn
2801:Operation Argus
2761:
2754:
2747:
2740:
2733:
2728:
2726:
2723:
2703:
2697:
2578:
2569:
2566:
2562:
2559:
2555:
2552:
2548:
2547:) drops off as
2544:
2538:
2535:
2534:with radius as
2528:
2524:
2521:
2520:
2515:
2512:
2511:
2506:
2502:
2494:
2491:
2488:
2485:
2482:
2479:
2476:
2473:
2470:
2467:
2464:
2461:
2455:
2454:
2449:
2446:
2445:
2440:
2428:
2425:
2389:
2386:
2358:
2354:
2348:
2345:
2342:
2341:
2336:
2333:
2326:
2320:
2311:
2280:
2274:
2199:
2194:
2185:
2162:
2152:
2143:self-consistent
2127:
2108:Coriolis effect
2061:
2058:
2057:
2038:
2030:
2019:
2015:
2008:
1997:
1991:
1985:
1960:
1952:
1935:
1929:
1925:
1909:
1903:
1899:
1897:
1895:
1892:
1891:
1819:
1814:
1808:
1806:Physical origin
1789:heteroscedastic
1773:
1761:
1750:
1691:, particularly
1654:
1636:
1624:Steens Mountain
1619:and reversals.
1570:
1564:
1504:
1490:
1485:
1483:Time dependence
1368:
1362:
1321:
1315:
1302:
1288:
1281:
1278:
1269:
1266:
1257:
1254:
1245:
1236:
1224:
1218:
1206:isoclinic chart
1190:
1184:
1141:
1125:
1122:
1119:
1116:
1113:
1110:
1107:
1104:
1091:
1088:
1077:
1074:
1066:
1064:Characteristics
1003:
963:paleomagnetists
908:magnetic dipole
836:
807:
806:
622:
614:
613:
569:
559:
558:
514:Induction motor
484:
474:
473:
389:Current density
374:
364:
363:
354:Poynting vector
264:
262:Electrodynamics
254:
253:
249:Right-hand rule
214:Magnetic dipole
204:Biot–Savart law
194:
184:
183:
119:Electric dipole
114:Electric charge
89:
17:
12:
11:
5:
8578:
8568:
8567:
8562:
8557:
8540:
8539:
8537:
8536:
8526:
8521:
8515:
8512:
8511:
8509:
8508:
8503:
8498:
8493:
8488:
8482:
8480:
8474:
8473:
8471:
8470:
8465:
8460:
8455:
8453:Atlantic Ocean
8450:
8445:
8439:
8437:
8431:
8430:
8428:
8427:
8422:
8417:
8416:
8415:
8405:
8400:
8395:
8390:
8384:
8382:
8376:
8375:
8373:
8372:
8367:
8362:
8357:
8352:
8347:
8342:
8337:
8335:Fluid dynamics
8332:
8326:
8324:
8318:
8317:
8315:
8314:
8309:
8307:Geopositioning
8304:
8302:Remote Sensing
8299:
8294:
8289:
8284:
8279:
8274:
8273:
8272:
8261:
8259:
8253:
8252:
8250:
8249:
8244:
8239:
8234:
8229:
8224:
8219:
8214:
8208:
8206:
8200:
8199:
8197:
8196:
8191:
8186:
8181:
8176:
8171:
8166:
8161:
8156:
8151:
8150:
8149:
8138:
8136:
8130:
8129:
8127:
8126:
8121:
8116:
8111:
8106:
8101:
8096:
8090:
8088:
8082:
8081:
8079:
8078:
8073:
8068:
8063:
8061:Climate change
8058:
8056:Energy balance
8053:
8051:Climate system
8047:
8045:
8039:
8038:
8031:
8029:
8027:
8026:
8021:
8016:
8011:
8006:
8001:
7996:
7991:
7985:
7983:
7977:
7976:
7969:
7968:
7961:
7954:
7946:
7937:
7936:
7934:
7933:
7932:
7931:
7926:
7921:
7916:
7906:
7901:
7896:
7890:
7888:
7887:Related topics
7884:
7883:
7881:
7880:
7875:
7870:
7865:
7860:
7855:
7850:
7845:
7839:
7837:
7833:
7832:
7830:
7829:
7824:
7819:
7818:
7817:
7807:
7802:
7796:
7794:
7790:
7789:
7787:
7786:
7779:
7774:
7769:
7762:
7753:
7748:
7743:
7738:
7733:
7724:
7720:
7718:
7714:
7713:
7711:
7710:
7705:
7700:
7695:
7690:
7685:
7680:
7675:
7670:
7665:
7660:
7658:Magnetic cloud
7654:
7652:
7646:
7645:
7643:
7642:
7637:
7632:
7627:
7622:
7617:
7612:
7607:
7602:
7597:
7592:
7586:
7584:
7580:
7579:
7577:
7576:
7571:
7566:
7561:
7556:
7551:
7545:
7543:
7539:
7538:
7531:
7530:
7523:
7516:
7508:
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7363:Tectonophysics
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7353:Paleomagnetism
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7333:Geomathematics
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7164:Mining geology
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7098:Tectonophysics
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7060:Geopositioning
7057:
7055:Remote sensing
7052:
7047:
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7013:
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7007:Marine geology
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6385:Magnetic Storm
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6319:External links
6317:
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6314:
6308:
6288:
6262:(2): 281–289.
6252:Wait, James R.
6248:
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6211:(2): 221–225.
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1601:westward drift
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895:and nickel in
865:magnetic field
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8393:Earth science
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8345:Magnetosphere
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8312:Virtual globe
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7708:Space weather
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7302:Geophysicists
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7195:Volcanologist
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7030:Earth's orbit
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6976:Geomorphology
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6954:Dynamic Earth
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6912:Sedimentology
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6861:Geochronology
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6191:on 2010-09-08
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6152:Physics Today
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5889:IEEE Spectrum
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5527:on 2021-12-09
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5390:Campbell 2003
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4994:
4993:public domain
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4141:
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4127:
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4118:
4113:
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4097:
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4067:
4061:
4053:
4049:
4045:
4041:
4037:
4033:
4026:
4019:
4015:
4012:
4006:
4002:
3998:
3994:
3990:
3986:
3982:
3978:
3971:
3964:
3959:
3945:on 2013-10-23
3941:
3937:
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3929:
3925:
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3885:
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3796:
3792:
3788:
3784:
3780:
3773:
3757:
3753:
3749:
3742:
3726:
3722:
3721:"The K-index"
3716:
3700:
3696:
3692:
3688:
3681:
3665:
3661:
3657:
3651:
3635:
3628:
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3472:
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3405:
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3400:
3392:
3384:
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3350:
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3339:
3323:
3317:
3302:
3298:
3292:
3276:
3269:
3267:
3250:
3246:
3239:
3225:
3221:
3215:
3208:
3203:
3201:
3199:
3197:
3195:
3193:
3191:
3189:
3187:
3185:
3170:
3164:
3156:
3150:
3146:
3139:
3131:
3125:
3121:
3114:
3106:
3100:
3096:
3089:
3081:
3075:
3071:
3064:
3062:
3060:
3058:
3050:
3046:
3043:
3038:
3030:
3026:
3022:
3018:
3014:
3010:
3003:
2987:
2983:
2982:Cosmos Online
2979:
2973:
2965:
2961:
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2953:
2946:
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2932:
2927:
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2918:
2914:
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2906:
2902:
2894:
2878:
2871:
2863:
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2828:
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2821:
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2809:
2807:
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2802:
2799:
2797:
2794:
2792:
2789:
2787:
2784:
2782:
2779:
2777:
2774:
2772:
2769:
2768:
2764:
2758:
2753:
2750:
2744:
2739:
2736:
2725:
2718:
2714:
2712:
2708:
2702:
2692:
2690:
2689:Paleomagnetic
2681:
2677:
2673:
2669:
2666:
2662:
2658:
2654:
2650:
2646:
2642:
2641:
2640:
2638:
2633:
2631:
2627:
2623:
2619:
2615:
2611:
2607:
2603:
2598:
2595:
2591:
2587:
2583:
2576:Global models
2573:
2541:
2533:
2530:and one that
2497:
2458:
2439:
2435:
2434:
2423:
2419:
2414:
2412:
2411:
2406:
2405:
2400:
2399:
2394:
2385:
2381:
2380:
2375:
2366:
2352:
2351:great circles
2330:
2325:
2315:
2306:
2304:
2300:
2296:
2292:
2291:Magnetometers
2284:
2279:
2269:
2267:
2263:
2259:
2256:
2251:
2249:
2245:
2241:
2236:
2234:
2229:
2227:
2223:
2219:
2214:
2212:
2208:
2204:
2189:
2180:
2160:
2158:
2147:
2144:
2139:
2136:
2132:
2122:
2119:
2116:
2115:T-Tauri phase
2111:
2109:
2105:
2101:
2097:
2092:
2090:
2086:
2066:
2063:
2054:
2051:
2046:
2044:
2043:curl operator
2036:
2027:
2023:
2014:
2007:
2003:
1994:
1988:
1968:
1957:
1946:
1940:
1930:
1922:
1919:
1913:
1890:
1889:
1888:
1886:
1882:
1878:
1877:Lorentz force
1874:
1873:Faraday's law
1870:
1866:
1861:
1859:
1855:
1851:
1847:
1843:
1839:
1835:
1826:
1822:
1813:
1812:Dynamo theory
1803:
1801:
1797:
1792:
1790:
1785:
1777:
1768:
1764:
1759:
1755:
1745:
1743:
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1731:
1729:
1725:
1720:
1718:
1714:
1710:
1706:
1702:
1698:
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1685:
1683:
1679:
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1663:
1659:
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1627:
1625:
1620:
1618:
1614:
1610:
1605:
1602:
1597:
1593:
1591:
1582:
1574:
1569:
1559:
1557:
1553:
1548:
1543:
1541:
1537:
1532:
1530:
1526:
1522:
1514:
1511:
1507:
1502:
1498:
1494:
1480:
1478:
1474:
1470:
1466:
1462:
1461:space weather
1457:
1455:
1451:
1447:
1441:
1439:
1435:
1431:
1426:
1424:
1420:
1416:
1412:
1407:
1405:
1401:
1397:
1393:
1388:
1386:
1382:
1372:
1367:
1366:Magnetosphere
1360:Magnetosphere
1357:
1355:
1349:
1347:
1344:in 2001. The
1343:
1339:
1333:
1325:
1320:
1310:
1308:
1301:
1292:
1276:
1271:
1264:
1259:
1252:
1247:
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1211:
1207:
1202:
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1195:
1189:
1179:
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1156:
1154:
1150:
1146:
1132:
1128:
1102:
1098:
1097:
1086:
1082:
1072:
1061:
1059:
1055:
1050:
1048:
1044:
1040:
1036:
1032:
1028:
1024:
1020:
1019:igneous rocks
1015:
1013:
1009:
998:
996:
992:
988:
984:
980:
976:
972:
968:
967:magnetosphere
964:
960:
956:
952:
948:
944:
940:
935:
933:
929:
925:
921:
917:
913:
909:
904:
902:
898:
894:
890:
886:
882:
878:
874:
870:
866:
862:
858:
851:
846:
842:
833:
828:
826:
821:
819:
814:
813:
811:
810:
803:
800:
798:
795:
793:
790:
788:
785:
783:
780:
778:
775:
773:
770:
768:
765:
763:
760:
758:
755:
753:
750:
748:
745:
743:
740:
738:
735:
733:
730:
728:
725:
723:
720:
718:
715:
713:
710:
708:
705:
703:
700:
698:
695:
693:
690:
688:
685:
683:
680:
678:
675:
673:
670:
668:
665:
663:
660:
658:
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653:
650:
648:
645:
643:
640:
638:
635:
633:
630:
628:
625:
624:
618:
617:
610:
607:
605:
602:
600:
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585:
582:
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575:
572:
571:
568:
563:
562:
555:
552:
550:
547:
545:
542:
540:
537:
535:
532:
530:
527:
525:
522:
520:
517:
515:
512:
510:
507:
505:
502:
500:
497:
495:
492:
490:
487:
486:
483:
478:
477:
470:
467:
465:
462:
460:
457:
455:
452:
450:
447:
445:
442:
440:
437:
435:
432:
430:
427:
425:
424:Joule heating
422:
420:
417:
415:
412:
410:
407:
405:
402:
400:
397:
395:
392:
390:
387:
385:
382:
380:
377:
376:
373:
368:
367:
360:
357:
355:
352:
350:
347:
345:
342:
340:
339:Lorentz force
337:
335:
332:
330:
327:
325:
322:
320:
317:
315:
312:
310:
307:
305:
302:
300:
297:
295:
292:
290:
287:
285:
282:
280:
277:
275:
272:
270:
267:
266:
263:
258:
257:
250:
247:
245:
242:
240:
239:Magnetization
237:
235:
232:
230:
227:
225:
224:Magnetic flux
222:
220:
217:
215:
212:
210:
207:
205:
202:
200:
197:
196:
193:
188:
187:
180:
177:
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172:
170:
167:
165:
162:
160:
157:
155:
152:
150:
147:
145:
142:
140:
137:
135:
132:
130:
129:Electric flux
127:
125:
122:
120:
117:
115:
112:
110:
107:
105:
102:
100:
97:
95:
92:
91:
88:
83:
82:
77:
74:
72:
69:
67:
66:Computational
64:
62:
59:
57:
54:
52:
49:
47:
44:
43:
42:
41:
37:
33:
32:
29:
26:
25:
21:
20:
8555:Geomagnetism
8506:Solar System
8468:Oceanography
8458:Indian Ocean
8448:Arctic Ocean
8388:Age of Earth
8340:Geomagnetism
8339:
8014:Thermosphere
8004:Stratosphere
7909:Ring systems
7904:Lunar swirls
7781:
7764:
7635:Ring current
7630:Plasmasphere
7605:Magnetopause
7558:
7490:
7478:
7459:
7426:Seismic wave
7395:
7328:Geomagnetism
7327:
7238:
7226:
7207:
7107:Applications
7078:Geomagnetism
7002:Hydrogeology
6935:Paleontology
6930:Stratigraphy
6897:Geochemistry
6759:
6747:
6720:Nikola Tesla
6682:Applications
6573:
6488:
6461:
6418:
6410:
6402:
6396:
6383:
6375:
6374:John Roach,
6366:
6360:
6351:
6339:
6324:
6295:
6292:Walt, Martin
6259:
6255:
6233:
6208:
6204:
6193:. Retrieved
6189:the original
6184:
6159:(2): 31–37.
6156:
6150:
6098:
6092:
6043:
6037:
6021:. Retrieved
6018:Science News
6017:
5982:
5959:
5936:
5913:
5892:. Retrieved
5888:
5878:
5829:
5825:
5815:
5770:
5766:
5760:
5733:
5729:
5720:
5675:
5671:
5661:
5636:
5632:
5626:
5617:
5608:
5575:
5571:
5565:
5553:. Retrieved
5540:
5529:. Retrieved
5525:the original
5520:
5511:
5502:
5493:
5481:. Retrieved
5471:
5459:. Retrieved
5411:
5407:
5397:
5392:, p. 1.
5385:
5373:. Retrieved
5358:
5332:. Retrieved
5325:the original
5304:
5300:
5287:
5275:. Retrieved
5273:. p. 66
5262:
5255:
5243:. Retrieved
5235:
5225:
5184:
5178:
5172:
5147:
5141:
5132:
5121:. Retrieved
5108:
5073:
5067:
5057:
5014:
5010:
5000:
4981:
4942:
4938:
4932:
4907:
4903:
4897:
4862:
4856:
4832:
4788:
4782:
4776:
4771:, Chapter 11
4764:
4759:, Chapter 10
4752:
4712:
4703:
4670:
4666:
4645:. Retrieved
4642:ScienceDaily
4641:
4631:
4586:
4582:
4572:
4545:
4541:
4516:. Retrieved
4512:the original
4507:
4498:
4463:
4459:
4449:
4441:the original
4430:
4395:
4391:
4381:
4340:
4336:
4329:
4302:
4298:
4288:
4264:(B7): 3523.
4261:
4257:
4247:
4235:. Retrieved
4215:
4211:
4201:
4189:
4177:
4158:
4152:
4099:
4095:
4085:
4073:. Retrieved
4069:
4060:
4035:
4031:
4025:
3980:
3976:
3970:
3958:
3947:. Retrieved
3940:the original
3919:
3915:
3902:
3875:
3866:
3854:. Retrieved
3850:the original
3846:Geomagnetism
3845:
3782:
3778:
3772:
3760:. Retrieved
3756:the original
3751:
3741:
3729:. Retrieved
3725:the original
3715:
3703:. Retrieved
3699:the original
3694:
3690:
3680:
3668:. Retrieved
3664:the original
3660:Science@NASA
3659:
3650:
3638:. Retrieved
3627:
3608:
3590:Merrill 2010
3564:. Retrieved
3560:the original
3556:Science@Nasa
3555:
3528:. Retrieved
3524:the original
3514:
3481:
3477:
3471:
3460:. Retrieved
3456:Hyperphysics
3455:
3452:"Bar Magnet"
3445:
3425:
3418:
3398:
3391:
3371:
3364:
3352:. Retrieved
3348:
3338:
3326:. Retrieved
3316:
3305:. Retrieved
3303:. 2021-08-31
3300:
3291:
3279:. Retrieved
3253:. Retrieved
3249:the original
3238:
3227:. Retrieved
3223:
3214:
3172:. Retrieved
3163:
3144:
3138:
3119:
3113:
3094:
3088:
3069:
3037:
3012:
3008:
3002:
2990:. Retrieved
2986:the original
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7678:Heliosphere
7668:Solar flare
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7178:Occupations
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1858:radioactive
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7139:Geobiology
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6256:Geophysics
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3229:2024-03-02
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8287:Geomatics
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8179:Etymology
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7564:Geosphere
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1697:magnetite
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1101:intensity
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692:Jefimenko
687:Hopkinson
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667:Heaviside
529:Permeance
414:Impedance
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6453:Archived
6442:Archived
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2537:r
2527:r
2519:m
2517:h
2510:m
2508:g
2493:1
2490:h
2484:1
2481:g
2475:1
2472:g
2466:0
2463:g
2453:m
2451:h
2444:m
2442:g
2388:m
2357:m
2347:m
2340:m
2335:P
2067:=
2031:∇
2026:t
2022:B
2020:∂
2016:μ
2009:σ
1993:B
1987:u
1969:,
1966:)
1962:B
1954:u
1950:(
1941:+
1937:B
1931:2
1920:=
1914:t
1905:B
1515:.
1513:T
1510:μ
1124:Z
1118:Y
1112:X
1106:F
1103:(
1090:I
1087:(
1076:D
1073:(
831:e
824:t
817:v
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