Families of three-dimensional axisymmetric periodic orbits in the restricted three-body problem: Sun-Jupiter case

DOI10.1007/BF00640543zbMath0398.70005MaRDI QIDQ1254115

P. G. Kazantzis

Publication date: 1979

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

zbMATH Keywords

Numerical ResultsPeriodic OrbitsRestricted Three-Body Problems

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Software, source code, etc. for problems pertaining to mechanics of particles and systems (70-04)

Related Items

Three-dimensional periodic orbits in three-dipole problem ⋮ Numerical determination of families of three-dimensional double-symmetric periodic orbits in the restricted three-body problem. II ⋮ Computation of Periodic Solutions of Conservative Systems with Application to the 3-Body Problem

Cites Work

• A grid search for three-dimensional motions and three new types of such motions
• Application of higher order variations of motion
• Periodic solutions of the third sort for restricted problem of three bodies and their stability