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In physics, specifically general relativity, the Mathisson–Papapetrou–Dixon equations describe the motion of a spinning massive object, moving in a gravitational field. Other equations with similar names and mathematical forms are the Mathisson-Papapetrou equations and Papapetrou-Dixon equations. All three sets of equations describe the same physics. They are named for M. Mathisson, W. G. Dixon, and A. Papapetrou. Throughout, this article uses the natural units ''c'' = ''G'' = 1, and tensor index notation. For a particle of mass ''m'', the Mathisson–Papapetrou–Dixon equations are:〔 〕 \right) = -\fracu^\pi S^ R^\lambda} + u^\mu u_\sigma \frac - u^\nu u_\sigma \frac = 0 |cellpadding= 6 |border = 1 |border colour = black |background colour=white}} where: ''u'' is the four velocity (1st order tensor), ''S'' the spin tensor (2nd order), ''R'' the Riemann curvature tensor (4th order), and the capital "''D''" indicates the covariant derivative with respect to the particle's proper time ''s'' (an affine parameter). ==Mathisson–Papapetrou equations== For a particle of mass ''m'', the Mathisson–Papapetrou equations are: + u^\mu u_\sigma \frac - u^\nu u_\sigma \frac = 0 |cellpadding= 6 |border = 1 |border colour = black |background colour=white}} using the same symbols as above. 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「Mathisson–Papapetrou–Dixon equations」の詳細全文を読む スポンサード リンク
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