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On the Theory of the Galilean Satellites of Jupiter

Published online by Cambridge University Press:  14 August 2015

S. Ferraz-Mello
S. Ferraz-Mello*
Affiliation:
Aeronautics Institute of Technology, Astronomical Observatory, 12200 São José dos Campos, Brazil

Abstract

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In this communication the main equations for the variables: radius vector, longitude, P and Q (variables built from Laplace's perihelium first integral) are given in closed form. These equations are used for deriving the equations of a second-order theory. At this order, the equations for P and Q, are separated and they are integrodifferential linear equations. The equations for the radius vector and for the longitudes, give, after integration, perturbations which are purely trigonometric. The solution shows the features observed in the motion of Jupiter's Galilean satellites. The results are discussed, and extended to include the space variables.

Type
Research Article
Information
Symposium - International Astronomical Union , Volume 62: The Stability of the Solar System , 1974 , pp. 167 - 184
Copyright
Copyright © Reidel 1974 

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