Bifurcation of frozen orbits in a gravity field with zonal harmonics
Mathematical Physics
2022-10-25 v1 math.MP
Abstract
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.
Cite
@article{arxiv.2210.12182,
title = {Bifurcation of frozen orbits in a gravity field with zonal harmonics},
author = {Irene Cavallari and Giuseppe Pucacco},
journal= {arXiv preprint arXiv:2210.12182},
year = {2022}
}