skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Secular behavior of a pair of coplanar planets

Abstract

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.

Authors:
;  [1]
  1. Instituto de Astronomia, Geofisica e Ciencias Atmosfericas, USP, Rua do Matao 1226, 05508-900 Sao Paulo (Brazil)
Publication Date:
OSTI Identifier:
21428643
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1283; Journal 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; Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Michtchenko, Tatiana A, and Ferraz-Mello, Sylvio. Secular behavior of a pair of coplanar planets. United States: N. p., 2010. Web. doi:10.1063/1.3506079.
Michtchenko, Tatiana A, & Ferraz-Mello, Sylvio. Secular behavior of a pair of coplanar planets. United States. https://doi.org/10.1063/1.3506079
Michtchenko, Tatiana A, and Ferraz-Mello, Sylvio. 2010. "Secular behavior of a pair of coplanar planets". United States. https://doi.org/10.1063/1.3506079.
@article{osti_21428643,
title = {Secular behavior of a pair of coplanar planets},
author = {Michtchenko, Tatiana A and Ferraz-Mello, Sylvio},
abstractNote = {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.},
doi = {10.1063/1.3506079},
url = {https://www.osti.gov/biblio/21428643}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1283,
place = {United States},
year = {Thu Oct 07 00:00:00 EDT 2010},
month = {Thu Oct 07 00:00:00 EDT 2010}
}