Resonant orbit search and stability analysis for elongated asteroids

Periodic orbits are crucial in facilitating the understanding of the dynamical behavior of elongated asteroids.As a specific type of periodic orbit,resonant orbits can enrich the orbit design method of deep-space exploration missions.Herein,a dipole segment model for investigating the orbital dynamics of elongated asteroids is briefly introduced.A new numerical algorithm named the modified path searching method for identifying spin-orbit resonant orbits is proposed.Using the modified path searching and pseudo-arclength continuation methods,four spin-orbit resonant families for asteroid 2063 Bacchus are obtained.The distribution of eigenvalues and stability curves for the four resonant families are presented.In particular,some critical points corresponding to period-doubling and tangent bifurcations appear in the stability curves.