Ideal frames for perturbed Keplerian motions

Computer Science

Scientific paper

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Cartan Space, Celestial Mechanics, Euler Equations Of Motion, Kepler Laws, Orbit Perturbation, Hamiltonian Functions, Orbital Mechanics, Pfaff Equation

Scientific paper

Cartan's exterior calculus is used to refer a perturbed Keplerian motion
to an ideal frame by means of either the Eulerian parameters or the
Eulerian angles, in which case the equations are given a Hamiltonian
form. The results are compared with the corresponding systems in the
orbital and nodal frames.

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