Resumen
We study some aspects of the restricted three-body problem when the mass parameter μ is sufficiently small. First, we describe the global flow of the two-body rotating problem, μ=0, and we use it for the analysis of the collision and parabolic orbits when μ≳0. Also we show that for any fixed value of the Jacobian constant and for any ε>0, there exists a μ0>0 such that if the mass parameter μ∈[0,μ0], then the set of bounded orbits which are not contained in the closure of the set of symmetric periodic orbits has Lebesgue measure less than ε. © 1982 D. Reidel Publishing Co.
Idioma original | Inglés |
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Páginas (desde-hasta) | 83-105 |
Publicación | Celestial mechanics |
Volumen | 28 |
N.º | 1-2 |
DOI | |
Estado | Publicada - 1 sept 1982 |