We propose a methodology to study the bifurcation sequences of frozen orbits when the second-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.
Cavallari, I., Pucacco, G. (2022). Bifurcation of frozen orbits in a gravity field with zonal harmonics. CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY, 134(5) [10.1007/s10569-022-10103-6].
Bifurcation of frozen orbits in a gravity field with zonal harmonics
Pucacco G.
2022-01-01
Abstract
We propose a methodology to study the bifurcation sequences of frozen orbits when the second-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.File in questo prodotto:
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