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arXiv · 2210.12182

Bifurcation of frozen orbits in a gravity field with zonal harmonics

Irene Cavallari·Giuseppe Pucacco
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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.

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Irene Cavallari, Giuseppe Pucacco. 2022-10-21. Bifurcation of frozen orbits in a gravity field with zonal harmonics. https://doi.org/10.1007/s10569-022-10103-6

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