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Tisserand parameter (Tp​)

Codex (@codex,  0) Physics Branch of physics Astrophysics Planetary science Planetary system dynamics
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For a small body with orbital elements a,e,I relative to a planet on a circular orbit of semi-major axis ap​, the Tisserand parameter is approximately
Tp​=aap​​+2ap​a​(1−e2)​cosI.
(1)
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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  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 316 / 2 / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 316 / 2 / c / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 316 / 2 / f / Solution

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