A Hill problem with oblate primaries and effect of oblateness on Hill stability of orbits

DOI10.1023/A:1013191030728zbMath1008.70008OpenAlexW1607657929MaRDI QIDQ5959226

Christos N. Douskos, V. V. Markellos, Archie E. Roy, E. A. Perdios

Publication date: 26 March 2002

Published in: Astrophysics and Space Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1013191030728

zbMATH Keywords

equilibrium pointsdisk-shaped galaxyHill stabilitymodified Hill problemoblate sunoblateness of primarieszero velocity curves

Mathematics Subject Classification ID

Celestial mechanics (70F15)

Related Items (7)

On the periodic solutions emerging from the equilibria of the Hill lunar problem with oblateness ⋮ Secular motion around synchronously orbiting planetary satellites ⋮ Equilibrium points of the restricted three-body problem with equal prolate and radiating primaries, and their stability ⋮ Collinear equilibrium points of Hill's problem with radiation and oblateness and their fractal basins of attraction ⋮ Hill four-body problem with oblate bodies: an application to the Sun-Jupiter-Hektor-Skamandrios system ⋮ Multiple periodic orbits in the Hill problem with oblate secondary ⋮ Computing periodic orbits of the three-body problem: effective convergence of Newton's method on the surface of section

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