Non-integrable cases in satellite dynamics

M. E. Sansaturio,
E.T.S.I.I., Paseo del Cauce s/n
E-47011 Valladolid, Spain
E-mail: marsan@wmatem.eis.uva.es

J.M. Ferrándiz and I. Vigo-Aguiar
Dept. de Matemática Aplicada, Escuela Politécnica Superior
E-03080 Alicante, Spain
E-mail: jm.ferrandiz@ua.es and vigo@aitana.cpd.ua.es

January 1997

Abstract:

In this paper, several questions related to the non integrability of some Hamiltonians appearing in the study of the problem of a satellite of a planet of arbitrary shape and recently developed by the authors are collected. Among them, we can quote the non integrability through meromorphic integrals of any truncation of the zonal satellite problem, as well as the non integrability through rational integrals of the J₂₂-problem.

 

• Introduction
• The truncated zonal satellite problem
• Non-integrability of the J₂₂-problem
• Acknowledgement
• Bibliography
• About this document ...

Introduction