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RESEARCH PRODUCT
Ejection and collision orbits of the spatial restricted three-body problem
Jaume LlibreJ. Martínez Alfarosubject
Applied MathematicsAstronomy and AstrophysicsTwo-body problemThree-body problemCollisionCelestial mechanicsComputational Mathematicssymbols.namesakeClassical mechanicsSpace and Planetary ScienceModeling and SimulationAutomotive EngineeringJacobian matrix and determinantsymbolsOrbit (dynamics)Astrophysics::Earth and Planetary AstrophysicsRemainderConstant (mathematics)Mathematical PhysicsMathematicsdescription
We begin by describing the global flow of the spatial two body rotating problem, μ=0. The remainder of the work is devoted to study the ejection and collision orbits when μ>-0. We make use of the ‘blow up’ techniques to show that for any fixed value of the Jacobian constant the set of these orbits is diffeomorphic to S2×R. Also we find some particular collision-ejection orbits.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1985-02-01 | Celestial Mechanics |