ISSN:
1572-9478
Keywords:
Total collision manifold
;
reversible flow
;
parabolic
;
escape and capture orbits
;
Symbolic Dynamics
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract In this work we study escape and capture orbits in the planar rhomboidal 4-body problem in a level of constant negative energy. There are only two different values of the masses here. By using numerical analysis, we show certain transversal intersections of the invariant manifolds of parabolic orbits. We then introduce Symbolic Dynamics when the mass ratio is small, and when it is close to one. In the first case the escapes or captures predominate in the direction of one of the diagonals of the rhombus, while in the second case we find solutions escaping or being captured in the direction of both possible diagonals.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00695713
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