Secular perturbation theory and computation of asteroid proper elements

Astronomy and Astrophysics – Astronomy

Scientific paper

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Asteroids, Many Body Problem, Orbital Elements, Perturbation Theory, Planetary Mass, Secular Variations, Accuracy, Algorithms, Iterative Solution, Jupiter (Planet), Lie Groups

Scientific paper

A new theory for the calculation of proper elements is presented. This theory defines an explicit algorithm applicable to any chosen set of orbits and accounts for the effect of shallow resonances on secular frequencies. The proper elements are computed with an iterative algorithm and the behavior of the iteration can be used to define a quality code.

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