Hill stability of the planar three-body problem: General and restricted cases

DOI10.1007/BF00049560zbMath0759.70009OpenAlexW4243679796MaRDI QIDQ1199728

Takeshi Nakamura, Junzo Yoshida

Publication date: 16 January 1993

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00049560

zbMATH Keywords

energy integralJacobi integralKepler motioncircular restricted problemexternal partinternal partSundman function

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (1)

About the Hill stability of extrasolar planets in stellar binary systems

Cites Work

• Hill stability and distance curves for the general three-body problem
• On topological stability in the general three-body problem
• BURRAU'S PROBLEM OF THREE BODIES

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