The present status of periodic orbits

Three-body problems (70F07) Celestial mechanics (70F15) Orbital mechanics (70M20) (n)-body problems (70F10) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Related Items (4)

Periodic orbits of the planetary type and their stability ⋮ Resonant motion in the restricted three-body problem ⋮ The construction of a fifth-order Jupiter-Saturn motion: Analytical theory. I: Outline ⋮ The problem of small divisors in planetary motion

Cites Work

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Families of periodic planetary-type orbits in the three-body problem and their stability
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
The bifurcation of periodic orbits of the planar circular restricted N- body problem to the three-dimensional general N-body problem
New periodic solutions of the plane three-body problem corresponding to elliptic motion in the lunar theory
[https://portal.mardi4nfdi.de/wiki/Publication:3856154 On Poincar�'s second species solutions]
The restricted planetary 4-body problem
[https://portal.mardi4nfdi.de/wiki/Publication:3868813 On the existence of periodic solutions of Poincar�'s second sort in the general problem of three bodies moving in plane]
Numerical explorations of the rectilinear problem of three bodies
A family of periodic solutions of the planar three-body problem, and their stability
Families of periodic orbits in the three-body problem
The problem of three bodies
The stability of periodic orbits in the three-body problem
The continuation of periodic orbits from the restricted to the general three-body problem
On relative periodic solutions of the planar general three-body problem
Stability of interplay motions
The existence of families of periodic orbits in theN-body problem
Critical generating orbits for second species periodic solutions of the restricted problem
Periodic three body orbits in the case of small third mass
The stability of second species periodic orbits in the restricted problem (μ = 0)
Continuation of periodic orbits: Three-dimensional circular restricted to the general three-body problem
Periodic solutions of circular-elliptic type in the planarN-body problem
On the continuation of periodic orbits from the planar to the three-dimensional general three-body problem
Classification of the motions of three bodies in a plane
Mass effects in the problem of three bodies
Evolution of a ?Class Two? family of periodic orbits in the general planar problem of three bodies
Periodic Solutions of the Restricted Three Body Problem Representing Analytic Continuations of Keplerian Elliptic Motions

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