Variational Chaos Indicators: Application to the Restricted Three-Body Problem
نویسندگان
چکیده
منابع مشابه
Caustics of the restricted three-body problem
Trajectories of the planar, circular, restricted threebody problem are given in the configuration space through the caustics associated to the invariant tori of quasi-periodic orbits. It is shown that the caustics of trajectories librating in any particular resonance display some features associated to that resonance. This method can be considered complementary to the Poincaré surface of sectio...
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Because of the Jacobi integral, solutions of the planar, circular restricted three-body problem are confined to certain subsets of the plane called Hill’s regions. For certain values of the integral, one component of the Hill’s region consists of disklike regions around each of the two primary masses, connected by a tunnel near the collinear Lagrange point, L2. A transit orbit is a solution whi...
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We have investigated the appearance of chaos in the one-dimensional Newtonian gravitational three-body system (three masses on a line with -1/r pairwise potential). In the center of mass coordinates this system has two degrees of freedom and can be conveniently studied using Poincare sections. We have concentrated in particular on how the behavior changes when the relative masses of the three b...
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The three body problem studies the motion of three masses whose gravitational attraction have an effect on each other. The dynamics of the three body problem are essentially different from those of two bodies, because in the latter case, an analytical solution may be found that admits orbits in the form of conic sections. This problem has been studied at great length and is the basis of most of...
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ژورنال
عنوان ژورنال: Proceedings of the International Astronomical Union
سال: 2014
ISSN: 1743-9213,1743-9221
DOI: 10.1017/s1743921314007777