翻訳と辞書 Words near each other ・ Tidal race ・ Tidal radius ・ Tidal railway station ・ Tidal range ・ Tidal resonance ・ Tidal river ・ Tidal river (disambiguation) ・ Tidal River (Victoria) ・ Tidal River, Victoria ・ Tidal scour ・ Tidal shock ・ Tidal stream ・ Tidal stream generator ・ Tidal stripping ・ Tidal tail ・ Tidal tensor ・ Tidal volume ・ Tidal W. McCoy ・ Tidal wave ・ Tidal Wave (album) ・ Tidal Wave (film) ・ Tidal Wave (Six Flags Magic Mountain) ・ Tidal Wave (Six Flags St. Louis) ・ Tidal Wave (Sub Focus song) ・ Tidal Wave (The Apples song) ・ Tidal Wave (Thorpe Park) ・ Tidal Wave of Blood ・ Tidalforce Electric Bicycle ・ Tidalok ・ Tidan Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Tidal tensor ： ウィキペディア英語版 Tidal tensor In Newton's theory of gravitation and in various relativistic classical theories of gravitation, such as general relativity, the tidal tensor represents #''tidal accelerations'' of a cloud of (electrically neutral, nonspinning) test particles, #''tidal stresses'' in a small object immersed in an ambient gravitational field. ==Newton's theory== In the field theoretic elaboration of ''Newtonian gravity'', the central quantity is the gravitational potential $U$, which obeys the Poisson equation :$\backslash Delta\; U\; =\; 4\; \backslash pi\; \backslash ,\; \backslash mu$ where $\backslash mu$ is the mass density of any matter present. Note that this equation implies that in a vacuum solution, the potential is simply a harmonic function. The ''tidal tensor'' is given by the ''traceless part'' :$\backslash Phi\_\; =\; J\_\; -\; \backslash frac\; \backslash ,\; \_m\; \backslash ,\; \backslash eta\_$ of the Hessian :$J\_\; =\; \backslash frac$ where we are using the standard ''Cartesian chart'' for E3, with the Euclidean metric tensor : Using standard results in vector calculus, this is readily converted to expressions valid in other coordinate charts, such as the ''polar spherical chart'' :$ds^2\; =\; d\backslash rho^2\; +\; \backslash rho^2\; \backslash ,\; \backslash left(\; d\backslash theta^2\; +\; \backslash sin(\backslash theta)^2\; \backslash ,\; d\backslash phi^2\; \backslash right)$ : 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「Tidal tensor」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.