Orbit's Structure in the Isosceles Rectilinear Restricted Three-Body Problem |
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| Authors: | J Martínez Alfaro R B Orellana |
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| Institution: | (1) Department de Matemàtica Aplicada i Astronomia, Universitat de València, Spain;(2) CONICET (Profoeg), Observatorio Astgronómico de La Plata, Argentina |
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| Abstract: | The isosceles rectilinear restricted three-body problem can be considered as the Sitnikov's problem with eccentricity one
or, as the isosceles problem when the central mass is zero and the primaries move having consecutive elliptic collisions.
We compactify the phase space and analyze the flow on their boundary. This allows us to separate the phase space into different
regions depending on the kind of orbits.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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