On the Restricted Three-Body Problem when the Mass Parameter is Small

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 ɛ>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 ɛ.