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Periodic orbits (Q3678714)

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Language	Label	Description	Also known as
English	Periodic orbits	scientific article

Statements

scholarly article

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Periodic orbits (English)

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Celestial Mechanics

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publication date

1984

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zbMATH Keywords

periodic orbits

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Planetary systems

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general 3-body problem

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satellite systems

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asteroid orbits

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restricted 3-body problem

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Triple stellar systems

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galactic models

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John D. Hadjidemetriou

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MaRDI profile type

MaRDI publication profile

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First-order resonances in three-degrees-of-freedom systems

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New periodic solutions of the plane three-body problem corresponding to elliptic motion in the lunar theory

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Periodic solutions of circular-elliptic type in the planarN-body problem

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Central configurations of four bodies with one inferior mass

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A new proof of a theorem of J. Moser concerning the restricted problem of three bodies

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A new family of periodic orbits for the restricted problem

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A new regularization of the restricted three-body problem and an application

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

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Second-order matching in the restricted three-body problem (small?)

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On relative periodic solutions of the planar general three-body problem

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Numerical explorations of the rectilinear problem of three bodies

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Periodic solutions about the collinear lagrangian solution in the general problem of three bodies

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On periodic flybys of the moon

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The genealogy of periodic orbits in a plane rotating galaxy

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Bifurcations of triple-periodic orbits

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On the stability of hierarchical four-body systems

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Periodic orbits in a dynamical system with three degrees of freedom

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Families of periodic orbits in the general three-body problem for the Sun-Jupiter-Saturn mass-ratio and their stability

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Families of periodic collision orbits in the general three-body problem

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Linear analysis of one type of second species solutions

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The restricted problem: An extension of Breakwell-Perko's matching theory

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The continuation of periodic orbits from the restricted to the general three-body problem

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The stability of periodic orbits in the three-body problem

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Families of periodic planetary-type orbits in the three-body problem and their stability

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The existence of families of periodic orbits in theN-body problem

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The restricted planetary 4-body problem

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On the relation between resonance and instability in planetary systems

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Families of periodic orbits in the three-body problem

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A family of periodic solutions of the planar three-body problem, and their stability

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Stability of interplay motions

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On Poincar�'s second species solutions

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Critical generating orbits for second species periodic solutions of the restricted problem

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The stability of second species periodic orbits in the restricted problem (μ = 0)

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Application of Hamilton's law of varying action to the restricted three-body problem

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Three-dimensional, periodic, ?halo? orbits

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Almost rectilinear halo orbits

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The family \(\ell_{3v}\) of the three-dimensional general three-body problem (parts I and II)

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General three-body problem: Families of vertical critical periodic orbits

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Periodic three body orbits in the case of small third mass

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Properties of linearized mappings associated with periodic orbits in the three-body problem

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Symmetric rectilinear periodic orbits of three bodies

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Continuation of periodic orbits: Three-dimensional circular restricted to the general three-body problem

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Periodic orbits of the elliptic restricted problem for the Sun-Jupiter-Saturn system

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The three-dimensional general three-body problem: Determination of periodic orbits

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Bifurcations of planar to three-dimensional periodic orbits in the general three-body problem

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On the existence of periodic solutions of Poincar�'s second sort in the general problem of three bodies moving in plane

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On the existence of periodic solutions of Poincare's third sort in the general problem of three bodies in three dimensions

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Periodic solutions of the N-body problem

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Periodic orbits near infinity in the restrictedN-body problem

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The bifurcation of periodic orbits of the planar circular restricted N- body problem to the three-dimensional general N-body problem

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

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General three-body problem: Families of three-dimensional periodic orbits. Part II

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Measure of degenerate relative equilibria. I

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Collinear relative equilibria of the planarN-body problem

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Periodic Orbits in the Restricted Three-Body Problem: Existence and Asymptotic Approximation

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Second species solutions with an 0(? v ), 0<v<1, near-Moon passage

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Periodic solutions of the restricted problem that are analytic continuations of periodic solutions of Hill's problem for small ?>0

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Computerized formal solutions of dynamical systems with two degrees of freedom and an application to the Contopoulos potential. I: The exact resonance case

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Computerized formal solutions of dynamic systems with two degrees of freedom and an application to the Contopoulos potential. II: The near- resonance case

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Analytic construction of periodic orbits about the collinear points

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Bifurcations of plane with three-dimensional periodic orbits in the elliptic restricted problem

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Numerical determination of three-dimensional periodic orbits generated from vertical self-resonant satellite orbits

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Numerische Aufsuchung periodischer Lösungen im Dreikörperproblem

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Topology and mechanics. II: The planar \(n\)-body problem

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Construction d'orbites periodiques de satellites dans un systeme d'axes tournants, I

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Classification of the motions of three bodies in a plane

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Mass effects in the problem of three bodies

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The problem of three bodies

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Evolution of a ?Class Two? family of periodic orbits in the general planar problem of three bodies

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Families of asymmetric periodic solutions of the restricted problem of three bodies for the Sun-Jupiter mass ratio and their relationship with the symmetric families

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Evolution with the mass parameter of families of asymmetric periodic solutions of the restricted three body problem

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Perturbation theory in the vicinity of a periodic orbit by repeated linear transformations

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full work available at URL

https://doi.org/10.1007/bf01235816

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Identifiers

zbMATH Open document ID

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10.1007/BF01235816

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3678714

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