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An alternative deduction of the Hill-type surfaces of the spatial 3-body problem

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Publication:1194801
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DOI10.1007/BF00052612zbMath0757.70005MaRDI QIDQ1194801

Xiaoling Leng, Yan-Chao Ge

Publication date: 4 October 1992

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


zbMATH Keywords

best possible zero velocity surfacesinertia ellipsoid


Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)


Related Items (1)

Stability criteria for hierarchical triple systems




Cites Work

  • Surfaces of zero velocity in the restricted problem of three bodies
  • From rotations and inclinations to zero configurational velocity surfaces, II. The best possible configurational velocity surfaces
  • TheN-body problem of celestial mechanics
  • The effects of integrals on the totality of solutions of dynamical systems
  • Unnamed Item




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