2026-04-17T00:38:14Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1834842025-12-05T09:56:34Zcom_2072_1057col_2072_478917col_2072_478920

00925njm 22002777a 4500 dc Jorba i Monte, Àngel author Nicolás Ávila, Begoña author 2022-02-24T12:50:42Z 2022-02-24T12:50:42Z 2021-11-01 2022-02-24T12:50:42Z This paper focuses on the capture of Near-Earth Asteroids (NEAs) in a neighbourhood of the $\mathrm{L}_{3}$ point of the Earth-Moon system. The dynamical model for the motion of the asteroid is the planar Earth-Moon-Sun Bicircular problem (BCP). It is known that the $\mathrm{L}_{3}$ point of the Restricted Three-Body Problem is replaced, in the BCP, by a periodic orbit of centre $\times$ saddle type, with a family of mildly hyperbolic tori that is born from the elliptic direction of this periodic orbit. It is remarkable that some pieces of the stable manifolds of these tori escape (backward in time) the Earth-Moon system and become nearly circular orbits around the Sun. In this work we compute this family of invariant tori and also high order approximations to their stable/unstable manifolds. We show how to use these manifolds to compute an impulsive transfer of a NEA to an invariant tori near $\mathrm{L}_{3}$. As an example, we study the capture of the asteroid $2006 \mathrm{RH} 120$ in its approach of 2006. We show that there are several opportunities for this capture, with different costs. It is remarkable that one of them requires a $\Delta v$ as low as 20 $\mathrm{m} / \mathrm{s}$. Mecànica orbital Sistemes hamiltonians Orbital mechanics Hamiltonian systems Using invariant manifolds to capture an asteroid near the L3 point of the Earth-Moon Bicircular model