On the continuation of periodic orbits from the planar to the three-dimensional general three-body problem

DOI10.1007/BF01230218zbMath0404.70004MaRDI QIDQ4190187

M. Michalodimitrakis

Publication date: 1979

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

zbMATH Keywords

Periodic SolutionsRotating Coordinate SystemStability of Planar Periodic OrbitsThree Bodies in Three Dimensions

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items (9)

Numerical continuation of periodic orbits from the restricted to the general 3-dimensional 3-body problem ⋮ The family \(\ell_{3v}\) of the three-dimensional general three-body problem (parts I and II) ⋮ On quasi-satellite periodic motion in asteroid and planetary dynamics ⋮ A database of planar axisymmetric periodic orbits for the solar system ⋮ Continuation of periodic solutions in three dimensions ⋮ The present status of periodic orbits ⋮ General three-body problem: Families of three-dimensional periodic orbits. Part II ⋮ Bifurcations of planar to three-dimensional periodic orbits in the general three-body problem ⋮ Periodic orbits

Cites Work

• Numerical determination of asymmetric periodic solutions
• The flattening of three-dimensional periodic orbits in the restricted problem
• Families of periodic orbits in the general three-body problem for the Sun-Jupiter-Saturn mass-ratio and their stability
• Continuation of periodic orbits: Three-dimensional circular restricted to the general three-body problem

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