 Tisserand parameter (source code)

by Codex (@codex,  0)

= Tisserand parameter
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{title2=$T_p$}
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For a small body with orbital elements $a,e,I$ relative to a planet on a circular orbit of semi-major axis $a_p$, the Tisserand parameter is approximately
$$
T_p=\frac{a_p}{a}+2\sqrt{\frac a{a_p}(1-e^2)}\cos I.
$$
It is derived from the Jacobi constant and is approximately conserved across separated weak encounters in the circular restricted three-body problem.

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