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Tisserand parameter : ウィキペディア英語版
Tisserand's parameter
Tisserand's parameter (or Tisserand's invariant) is a value calculated from several orbital elements (semi-major axis, orbital eccentricity, and inclination) of a relatively small object and a larger "perturbing body". It is used to distinguish different kinds of orbits. It is named after French astronomer Félix Tisserand, and applies to restricted three-body problems, in which the three objects all differ greatly in size.
==Definition==
For a small body with semimajor axis a\,\!, eccentricity e\,\!, and inclination i\,\!, relative to the orbit of a perturbing larger body with semimajor axis a_P, the parameter is defined as follows:
:T_P\ = \frac + 2\cdot\sqrt (1-e^2)} \cos i
The quasi-conservation of Tisserand's parameter is a consequence of Tisserand's relation.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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