Secular behavior of a pair of coplanar planets

Journal Article · Thu Oct 07 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3506079· OSTI ID:21428643

Michtchenko, Tatiana A; Ferraz-Mello, Sylvio ^[1]

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1. Instituto de Astronomia, Geofisica e Ciencias Atmosfericas, USP, Rua do Matao 1226, 05508-900 Sao Paulo (Brazil)

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 {nu} 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.

• OSTI ID: 21428643
• Journal Information: AIP Conference Proceedings, Vol. 1283, Issue 1; Conference: International conference on mathematics and astronomy: A joint long journey, Madrid (Spain), 23-27 Nov 2009; Other Information: DOI: 10.1063/1.3506079; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ASTROPHYSICS
BOUNDARY LAYERS
GALAXIES
GRAVITATIONAL INTERACTIONS
MAPPING
PHASE SPACE
PLANETS
REVIEWS
STABILITY
BASIC INTERACTIONS
DOCUMENT TYPES
INTERACTIONS
LAYERS
MATHEMATICAL SPACE
PHYSICS
SPACE