Integration theory for the restricted three-body-problem with application to P-type orbits

DOI10.1007/BF01234568zbMath0664.70009OpenAlexW4254443993MaRDI QIDQ3815579

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Publication date: 1988

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01234568

zbMATH Keywords

iteration procedureanalytic approximationJacobian integralapproximate integralrotating coordinatesnear circular orbitsP-type orbits

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Celestial mechanics (70F15)

Related Items (1)

An approximate integral and solution for eccentric planetary type orbits in the restricted problem of three bodies

Cites Work

• The "third" Integral in the Restricted Three-Body Problem.
• Unnamed Item

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