Topic
Dipole model of the Earth's magnetic field
About: Dipole model of the Earth's magnetic field is a research topic. Over the lifetime, 2756 publications have been published within this topic receiving 83021 citations.
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TL;DR: In this article, the effect of the quadrupole component of the geomagnetic field on the body dynamics is revealed, and the incorrectness of the oblique dipole model is demonstrated.
Abstract: When solving problems related to the induction of the Earth's magnetic field, the potential of which is expressed in the form of a series of spherical harmonic functions, it is necessary to use an approximate model of the geomagnetic field that satisfies the two conflicting requirements of simplicity and accuracy. As is noted in [3, p. 10], at the stage of design of satellites, especially at the stage of preliminary analysis of their dynamics, simple models of the geomagnetic field are usually employed. This offers additional possibilities for theoretical analysis of the problem. The averaged model and the model of a right dipole are just such simple models. The quadrupole model of the geomagnetic field developed in [4] is more accurate, but also more complex. The model of an oblique or skewed dipole is intermediate. The quadrupole model generalizes the simpler models mentioned above, and its analysis allows estimation of the accuracy of each model. It turns out that the oblique dipole model, which differs from the model of a right dipole by small correcting terms, does not take into account other correcting terms caused by the quadrupole part of the geomagnetic field, which are greater in magnitude. The evolution of the rotary motion of a charged rigid body in the geomagnetic field is considered, and the incorrectness of the oblique dipole model is demonstrated. The effect of the quadrupole component of the geomagnetic field on the body dynamics is revealed.
19 citations
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TL;DR: In this paper, the position angle of polarization is plotted against central meridian longitude, l, the curve departs significantly from the simple sinusoidal form predicted for a dipole field and previous workers have fitted harmonic series to the data, of the form illustrated in Figure 1.
Abstract: MEASUREMENTS of the linear polarization of the radio radiation have been widely used to study the magnetic field of the planet Jupiter and this method is believed to give the best estimate of the inclination and longitude of the magnetic axis1. When the position angle of polarization is plotted against central meridian longitude, l, the curve departs significantly from the simple sinusoidal form predicted for a dipole field and previous workers1, 2, 3 have fitted harmonic series to the data, of the form illustration
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19 citations
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TL;DR: In this paper, a theoretical method is presented which can be used to determine the angle that the earth's magnetic field makes with the direction of propagation, irrespective of geographic location and for transmissions directed at any azimuth and elevation orientation.
Abstract: This paper is mainly concerned with the geometry of radio-wave propagation associated with the earth's magnetic field.
A theoretical method is presented which can be used to determine the angle that the earth's magnetic field makes with the direction of propagation, irrespective of geographic location and for transmissions directed at any azimuth and elevation orientation. The techniques of matrix-coordinate transformations are utilized in this analysis by assuming that the earth's magnetic field can be approximated by a centered magnetic dipole.
Computations are given for one location in the Northern Hemisphere. The resultant data are compared with those obtained by the well-known graphical method in which ground-observed magnetic data are scaled from isomagnetic maps.
19 citations
01 Jan 1991
TL;DR: A significant and unique planetary magnetic field discovered by Voyager 2 is presented in this paper, where a large tilt of 58.6 deg of the magnetic-dipole axis from the rotation axis was found.
Abstract: A significant and unique planetary magnetic field discovered by Voyager 2 is presented. A large tilt of 58.6 deg of the magnetic-dipole axis from the rotation axis was found. Combined with a large offset of 0.3 RU of the magnetic dipole from the center of the planet, the moment of 0.23 gauss-RU3 leads to field magnitudes at the surface which vary widely between 0.1 and 1.0 gauss. A simple diagram illustrating the offset tilted dipole of Uranus and some field lines is shown. A more exact and accurate spherical-harmonic model of the planetary field, which includes both dipole and quadrupole moments, is derived. There exists a well-developed bipolar magnetic tail on the night side of the planet which rotates daily about the extended planet-sunline with Uranus because of the large obliquity of the Uranian rotation axis.
19 citations