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Global instability in the elliptic restricted three body problem
Elliptic Restricted Three Body problem Arnold diffusion splitting of separatrices Melnikov integral
2015/9/25
The (planar) ERTBP describes the motion of a massless particle (a comet) under the gravitational field of two massive bodies (the primaries, say the Sun and Jupiter) revolving around their center of m...
DESTRUCTION OF INVARIANT CURVES IN THE RESTRICTED CIRCULAR PLANAR THREE-BODY PROBLEM BY USING COMPARISON OF ACTION
INVARIANT CURVES RESTRICTED CIRCULAR PLANAR THREE-BODY PROBLEM
2015/9/25
The classical principle of least action says that orbits of mechanical systems extremize action; an important subclass are those orbits that minimize action. In this paper we utilize this principle al...
THE METHOD OF SPREADING CUMULATIVE TWIST AND ITS APPLICATION TO THE RESTRICTED CIRCULAR PLANAR THREE BODY PROBLEM
SPREADING CUMULATIVE TWIST RESTRICTED CIRCULAR PLANAR THREE BODY PROBLEM
2015/9/25
The purpose of this paper is twofold. First we show that the dynamics ofa Sun-Jupiter-Comet system and under some simplifying assumptions has a semi-infiniteregion of instability. This is done by redu...
The planar circular restricted three body problem in the lunar case
The planar circular restricted three body problem lunar case
2015/3/18
The course is a short introduction to some aspects of the simplest non-integrable three body problem, the study of which goes back to the seminal works of Hill, Poincar′e and Birkhoff. After Goursat (...
Saari's homographic conjecture for planar equal-mass three-body problem under a strong force potential
Saari's homographic conjecture planar equal-mass three-body problem Mathematical Physics
2011/9/1
Abstract: Donald Saari conjectured that the $N$-body motion with constant configurational measure is a motion with fixed shape. Here, the configurational measure $\mu$ is a scale invariant product of ...
On the bifurcation and continuation of periodic orbits in the three-body problem
three body problem (TBP) periodic orbits bifurcations
2010/12/28
We consider the planar three body problem of planetary type and we study the generation and continuation of periodic orbits and mainly of asymmetric periodic orbits.
Post-Newtonian effects on Lagrange's equilateral triangular solution for the three-body problem
Post-Newtonian effects Lagrange's equilateral triangular solution three-body problem
2010/12/20
We investigate the post-Newtonian effects on Lagrange’s equilateral triangular solution for the three-body problem. It is concluded that the equilateral triangular configuration can satisfy the post-N...
Uniqueness of collinear solutions for the relativistic three-body problem
Uniqueness of collinear solutions relativistic three-body problem
2010/11/16
Continuing work initiated in an earlier publication [Yamada, Asada, Phys. Rev. D 82, 104019
(2010)], we investigate collinear solutions to the general relativistic three-body problem. We prove the un...
Uniqueness of collinear solutions for the relativistic three-body problem
Uniqueness of collinear solutions relativistic three-body problem
2010/12/20
Continuing work initiated in an earlier publication [Yamada, Asada, Phys. Rev. D 82, 104019
(2010)], we investigate collinear solutions to the general relativistic three-body problem. We prove the un...
Effect of Perturbations in Coriolis and Centrifugal Forces on the Nonlinear Stability of Equilibrium Point in Robe's Restricted Circular Three-Body Problem
Perturbations Centrifugal Forces Coriolis three-body problem
2009/9/4
The effect of perturbations in Coriolis and cetrifugal forces on the nonlinear stability of the equilibrium point of the Robe's (1977) restricted circular three-body problem has been studied when the ...
Tidal heating: a restricted three body problem investigation of the spitzer and weinberg approximations
Tidal heating weinberg approximations spitzer
2009/7/9
Tidal heating: a restricted three body problem investigation of the spitzer and weinberg approximations。
Three-body problem and multiple stellar systems
Three-body problem multiple stellar systems
2009/6/17
Three-body problem and multiple stellar systems。
Closed form approximation solutions for the restricted circular three body problem
Lambert’s wave function spherically symmetric masses
2009/1/8
An approach is developed to find approximate solutions to the restricted
circular three body problem. The solution is useful in approximately describing
the position vectors of three spherically sym...
Adiabatic expansion approximation solutions for the three-body problem
three-body system adiabatic expansion method bound states energy levels Born-Oppenheimer method
2009/1/5
The motion of a muon in two centers coulomb ¯eld is one of
the interesting problems of quantum mechanics. The adiabatic expansion
method is powerful approach to study the muonic three-body syst...
Analytical Structure Matching and Very Precise Approach to the Coulombic Quantum Three-Body Problem
quantum three-body problem analytical structure matching the least square method asymptotic series Bartlett-Fock expansion
2007/8/15
2001Vol.35No.1pp.71-77DOI:
Analytical Structure Matching and Very Precise Approach to the Coulombic Quantum Three-Body Problem
TAN Shi-Na
Institute of Theoretical Physic...