Multiple periodic orbits in the Hill problem with oblate secondary

DOI10.1007/S11038-008-9239-XzbMath1177.85013OpenAlexW2087421924MaRDI QIDQ1035362

Angela E. Perdiou

Publication date: 2 November 2009

Published in: Earth, Moon, and Planets (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11038-008-9239-x

zbMATH Keywords

stabilitybifurcationsHill problemescape and collision orbitsmultiple-periodic orbitsoblate secondary

Mathematics Subject Classification ID

Celestial mechanics (70F15) Galactic and stellar dynamics (85A05)

Cites Work

• The photogravitational Hill problem: numerical exploration
• Families of asymmetric periodic orbits in Hill's problem of three bodies
• On the stability parameters of periodic solutions
• A photogravitational Hill problem and radiation effects on Hill stability of orbits
• A grid search for families of periodic orbits in the restricted problem of three bodies
• Stationary solutions and their characteristic exponents in the restricted three-body problem when the more massive primary is an oblate spheroid
• Numerical investigation of the planar restricted three-bodyproblem
• A Hill problem with oblate primaries and effect of oblateness on Hill stability of orbits

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