Destruction of Invariant Curves in the Restricted Circular Planar Three Body Problem Using the Ordering Condition
نویسندگان
چکیده
This paper utilizes Aubry-Mather theory to construct instability regions for a certain three body problem. We consider a Sun-Jupiter-Comet system and under some simplifying assumptions and show the existence of instabilities for orbit of the comet. In particular we show that a comet which starts close to orbit of an ellipse of eccentricity e = 0.748 can increase in eccentricity up to e = 0.826. Such an initial orbit is well within the range of our solar system.
منابع مشابه
Geometry of homoclinic Connections in a Planar Circular Restricted Three-Body Problem
Abstract. The stable and unstable invariant manifolds associated with Lyapunov orbits about the libration point L1 between the primaries in the planar circular restricted three-body problem with equal masses are considered. The behavior of the intersections of these invariant manifolds for values of the energy between the one of L1 and that of the other collinear libration points L2 and L3 is s...
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