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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Invariant latitude ： ウィキペディア英語版 Dipole model of the Earth's magnetic field The dipole model of the Earth's magnetic field is a first order approximation of the rather complex true Earth's magnetic field. Due to effects of the interplanetary magnetic field, and the solar wind, the dipole model is particularly inaccurate at high L-shells (e.g., above L=3), but may be a good approximation for lower L-shells. For more precise work, or for any work at higher L-shells, a more accurate model that incorporates solar effects, such as the Tsyganenko magnetic field model, is recommended. ==Equations== The following equations describe the dipole magnetic field. First, define $B\_0$ as the mean value of the magnetic field at the magnetic equator on the Earth's surface. Typically $B\_0=3.12\backslash times10^\backslash \; \backslash textrm$. Then, the radial and azimuthal fields can be described as $B\_r\; =\; -2B\_0\backslash left(\backslash frac\backslash right)^3\backslash cos\backslash theta$ $B\_\backslash theta\; =\; -B\_0\backslash left(\backslash frac\backslash right)^3\backslash sin\backslash theta$ $|B|\; =\; B\_0\backslash left(\backslash frac\backslash right)^3\; \backslash sqrt$ where $R\_E$ is the mean radius of the Earth (approximately 6370 km), $r$ is the radial distance from the center of the Earth (using the same units as used for $R\_E$), and $\backslash theta$ is the azimuth measured from the north magnetic pole. It is sometimes more convenient to express the magnetic field in terms of magnetic latitude and distance in earth radii. The magnetic latitude $\backslash lambda$ is measured northwards from the equator (analogous to geographic latitude) and is related to $\backslash theta$ by $\backslash lambda\; =\; \backslash pi/2\; -\; \backslash theta$. In this case, the radial and azimuthal components of the magnetic field (the latter still in the $\backslash theta$ direction, measured from the axis of the north pole) are given by $B\_r\; =\; -\backslash frac\backslash sin\backslash lambda$ $B\_\backslash theta\; =\; \backslash frac\backslash cos\backslash lambda$ $|B|\; =\; \backslash frac\; \backslash sqrt$ where $R$ in this case has units of Earth radii ($R\; =\; r/R\_E$). 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Dipole model of the Earth's magnetic field」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.