Alternative representation of planetary perturbations.

Physics

Scientific paper

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Perturbations:Planetary Theories, Planetary Theories:Perturbations, Planetary Theories:Three-Body Problem, Three-Body Problem:Planetary Theories

Scientific paper

An attempt is made to find a representation of planetary perturbations
which does not require a Fourier expansion. For the planetary type three
body problem a sequence of canonical transformations is given based on
Landen transformations coupled with a rescaling of the time. The
expansion is carried out to the order 2 in the Hamiltonian.

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