A variational proof of existence of transit orbits in the restricted three-body problem

DOI10.1080/14689360512331332983zbMath1061.70005OpenAlexW2095448171MaRDI QIDQ4651110

Richard Moeckel

Publication date: 21 February 2005

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360512331332983

zbMATH Keywords

equations of motionJacobi integralConley's isolating blockMaupertuis variational principle

Mathematics Subject Classification ID

Three-body problems (70F07) Variational methods for problems in mechanics (70G75) Other variational principles in mechanics (70H30)

Related Items (4)

Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem ⋮ Using space manifold dynamics to deploy a small satellite constellation around the Moon ⋮ Long-term capture orbits for low-energy space missions ⋮ Variational proof of the existence of periodic orbits in the spatial Hill problem and its constrained problems

Cites Work

• On the existence of invariant sets inside a submanifold convex to a flow
• Low Energy Transit Orbits in the Restricted Three-Body Problems

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