A new regularization of the restricted three-body problem and an application

DOI10.1007/BF01234179zbMath0477.70008MaRDI QIDQ3933824

Edward A. Belbruno

Publication date: 1981

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

zbMATH Keywords

singularitiesregularization of restricted problemrotation of 3-sphere

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items

The KS-transformation in hypercomplex form and the quantization of the negative-energy orbit manifold of the Kepler problem ⋮ Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem ⋮ A family of periodic orbits in the three-dimensional lunar problem ⋮ From the restricted to the full three–body problem ⋮ Continuation of periodic solutions in three dimensions ⋮ The Kepler problem spinor regularization and pre-quantization of the negative-energy manifold ⋮ Doubly-symmetric periodic solutions of the spatial restricted three-body problem ⋮ A new family of periodic orbits for the restricted problem ⋮ Periodic orbits

Cites Work

• A new family of periodic orbits for the restricted problem
• New periodic solutions of the three dimensional restricted problem
• Regularization of kepler's problem and the averaging method on a manifold
• Classification and Representation of Semi-Simple Jordan Algebras
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