Secular behavior of a pair of coplanar planets

Details Secular behavior of a pair of coplanar planets Secular behavior of a pair of coplanar planets

Oct 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1283...32m&link_type=abstract

MATHEMATICS AND ASTRONOMY: A JOINT LONG JOURNEY: Proceedings of the International Conference. AIP Conference Proceedings, Volum

Astronomy and Astrophysics

Astronomy

Planetary Boundary Layer, Gravitational Experiments, Poincare Mapping, Galaxy, Orbital And Rotational Dynamics, Molecular And Chemical Processes And Interactions, Lorentz And Poincare Invariance, Interacting Galaxies, Galaxy Pairs, And Triples

Scientific paper

This chapter is a review of the secular dynamics of two coplanar planets. The first section presents the development of the secular model. We use both analytical and semi-numerical approaches, which employ an averaging of the short period gravitational interaction of the planets. We apply the secular analysis to the case of the two outer planets, c and d, of the ν Andromedae system. Assuming an edge-on orbital configuration of the planets, we obtain the general structure of its secular phase space, and the boundaries of its secular stability.

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