On families of periodic solutions of the restricted three-body problem

DOI10.1007/S10569-006-9021-1zbMath1219.70025OpenAlexW2020516908MaRDI QIDQ850695

Alexander D. Bruno, Victor P. Varin

Publication date: 6 November 2006

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-006-9021-1

zbMATH Keywords

Periodic solutionsRestricted three-body problemTwo-parameter families

Mathematics Subject Classification ID

Three-body problems (70F07)

Related Items (8)

Extension of fast periodic transfer orbits from the Earth-Moon RTBP to the Sun-Earth-Moon quasi-bicircular problem ⋮ Vertical bifurcation families from the long and short period families around the equilateral equilibrium points ⋮ Evolution of the characteristic curves in the restricted three-body problem in terms of the mass parameter ⋮ Determination of the doubly symmetric periodic orbits in the restricted three-body problem and Hill's lunar problem ⋮ Analytical and semianalytical treatment of the collinear points in the photogravitational relativistic RTBP ⋮ Some properties of the dumbbell satellite attitude dynamics ⋮ Families of first kind periodic solutions of the spatial and planar elliptic restricted three-body problem with collision ⋮ Periodic solutions of the restricted three-body problem for a small mass ratio

Cites Work

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• Second-order matching in the restricted three-body problem (small?)
• Critical generating orbits for second species periodic solutions of the restricted problem
• The stability of second species periodic orbits in the restricted problem (μ = 0)
• Researches on the restricted three-body problem
• Researches on the restricted three-body problem

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