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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...
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...