Canonical solution of the two critical argument problem

Physics

Scientific paper

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Orbit Calculation, Planets, Solar Orbits, Three Body Problem, Canonical Forms, Long Term Effects

Scientific paper

The solution by Sessin and Ferraz-Mello (1984) of the Hori auxiliary
system for the motion of two planets with periods nearly commensurate in
the ratio 2:1 is considerably simplified by the introduction of
canonical variables. An analogous canonical transformation simplifies
the elliptic restricted problem.

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