STABILITY OF THE PLANETARY 3-BODY PROBLEM .1. EXPANSION OF THE PLANETARY HAMILTONIAN

Authors
LASKAR J ROBUTEL P
Citation
J. Laskar et P. Robutel, STABILITY OF THE PLANETARY 3-BODY PROBLEM .1. EXPANSION OF THE PLANETARY HAMILTONIAN, Celestial mechanics & dynamical astronomy, 62(3), 1995, pp. 193-217
Citations number
NO
Categorie Soggetti
Astronomy & Astrophysics
Journal title
Celestial mechanics & dynamical astronomy → ACNP
ISSN journal
09232958
Volume
62
Issue
3
Year of publication
1995
Pages
193 - 217
Database
ISI
SICI code
0923-2958(1995)62:3<193:SOTP3P>2.0.ZU;2-8
Abstract
We present a direct method for the expansion of the planetary Hamilton ian in Poincare canonical elliptic variables with its effective implem entation in computer algebra. This method allows us to demonstrate the existence of simplifications occurring in the analytical expression o f the Hamiltonian coefficients. All the coefficients depending on the ratio of the semi major axis can thus be expressed in a concise and ca nonical form.