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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 Specific relative angular momentum ： ウィキペディア英語版 Specific relative angular momentum :''See also: Classical central-force problem'' In celestial mechanics, the specific relative angular momentum (h) of two orbiting bodies is the vector product of the relative position and the relative velocity. Equivalently, it is the total angular momentum divided by the reduced mass. Specific relative angular momentum plays a pivotal role in the analysis of the two-body problem. ==Definition== Specific relative angular momentum, represented by the symbol $\backslash mathbf\backslash ,\backslash !$, is defined as the cross product of the relative position vector $\backslash mathbf\backslash ,\backslash !$ and the relative velocity vector $\backslash mathbf\backslash ,\backslash !$. :$\backslash mathbf\; =\; \backslash mathbf\backslash times\; \backslash mathbf\; =$ where: *$\backslash mathbf\backslash ,\backslash !$ is the relative orbital position vector *$\backslash mathbf\backslash ,\backslash !$ is the relative orbital velocity vector *$\backslash mathbf\; =\; \backslash mathbf\; +\; \backslash mathbf\; \backslash ,$ is the total angular momentum of the system (i.e. the sum of the angular momenta of each body) *$\backslash mu\; \backslash ,$ is the reduced mass The units of $\backslash mathbf\backslash ,\backslash !$ are m2s−1. The $\backslash mathbf\backslash ,\backslash !$ vector is always perpendicular to the instantaneous osculating orbital plane, which coincides with the instantaneous perturbed orbit. It would not necessarily be perpendicular to an average plane which accounted for many years of perturbations. As usual in physics, the magnitude of the vector quantity $\backslash mathbf\backslash ,\backslash !$ is denoted by $h\backslash ,\backslash !$: :$h\; =\; \backslash left\; \backslash |\; \backslash mathbf\; \backslash right\; \backslash |$ 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「Specific relative angular momentum」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.