TY - JOUR
T1 - The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem
AU - Llibre, Jaume
AU - Paşca, Daniel
AU - Valls, Claudià
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature B.V.
PY - 2021/12
Y1 - 2021/12
N2 - We study the dynamics of the circular restricted 4-body problem with three primaries with equal masses at the collinear configuration of the 3-body problem with an infinitesimal mass. We calculate the equilibrium points and study their linear stability. By applying the Lyapunov theorem, we prove the existence of periodic orbits bifurcating from the equilibrium points and, further, prove that they continue in the full 4-body problem. Moreover, we prove analytically the existence of Hill and of comet-like periodic orbits.
AB - We study the dynamics of the circular restricted 4-body problem with three primaries with equal masses at the collinear configuration of the 3-body problem with an infinitesimal mass. We calculate the equilibrium points and study their linear stability. By applying the Lyapunov theorem, we prove the existence of periodic orbits bifurcating from the equilibrium points and, further, prove that they continue in the full 4-body problem. Moreover, we prove analytically the existence of Hill and of comet-like periodic orbits.
KW - Circular restricted 4-body problem
KW - Collinear central configuration
KW - Periodic orbit
UR - https://www.scopus.com/pages/publications/85120544683
U2 - 10.1007/s10569-021-10052-6
DO - 10.1007/s10569-021-10052-6
M3 - Article
AN - SCOPUS:85120544683
SN - 0923-2958
VL - 133
JO - Celestial Mechanics and Dynamical Astronomy
JF - Celestial Mechanics and Dynamical Astronomy
IS - 11-12
M1 - 53
ER -