Bifurcation of frozen orbits in a gravity field with zonal harmonics

We propose a methodology to study the bifurcation sequences of frozen orbits when the 2nd-order fundamental model of the satellite problem is augmented with the contribution of octupolar terms and relativistic corrections. The method is based on the analysis of twice-reduced closed normal forms expr...

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Bibliographic Details
Published in:arXiv.org 2022-10
Main Authors: Cavallari, Irene, Pucacco, Giuseppe
Format: Article
Language:English
Subjects:
Bifurcations
Canonical forms
Gravitational fields
Orbital mechanics
Orbits
Sequences
Zonal harmonics
Online Access:Get full text
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Summary:We propose a methodology to study the bifurcation sequences of frozen orbits when the 2nd-order fundamental model of the satellite problem is augmented with the contribution of octupolar terms and relativistic corrections. The method is based on the analysis of twice-reduced closed normal forms expressed in terms of suitable combinations of the invariants of the Kepler problem, able to provide a clear geometric view of the problem.
ISSN:2331-8422
DOI:10.48550/arxiv.2210.12182