Stability of relative equilibria of the full spacecraft dynamics around an asteroid with orbit–attitude coupling

摘要: Abstract The full dynamics of spacecraft around an asteroid, in which the is considered as a rigid body and gravitational orbit–attitude coupling taken into account, great value interest precise theories motion. spectral stability classical relative equilibria asteroid studied with method geometric mechanics. conditions are given explicitly based on characteristic equation linear system matrix. It found that linearized decouples two entirely independent subsystems, correspond to motions within outside equatorial plane respectively. parameters divided three groups describe traditional stationary orbit stability, significance mass distribution investigated numerically respect parameters. relations between dynamics, well effect coupling, assessed. We find when strong, dominates equilibria; whereas weak, both have significant effects stability. also give criterion determine whether needs be considered.