Computing periodic orbits of the three-body problem: effective convergence of Newton's method on the surface of section

DOI10.1007/S10509-005-5834-8zbMath1081.70006OpenAlexW2042147429MaRDI QIDQ815938

V. V. Markellos, Vassilis S. Kalantonis, E. A. Perdios

Publication date: 20 February 2006

Published in: Astrophysics and Space Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10509-005-5834-8

zbMATH Keywords

fixed pointsperiodic orbitsNewton's methodPoincaré map

Mathematics Subject Classification ID

Three-body problems (70F07) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (2)

Basins of convergence of equilibrium points in the restricted three-body problem with modified gravitational potential ⋮ On Robe’s restricted problem with a modified Newtonian potential

Cites Work

• On the stability parameters of periodic solutions
• Efficient method for computing with certainty periodic orbits on a surface of section
• A Hill problem with oblate primaries and effect of oblateness on Hill stability of orbits

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