Dynamics in the Restricted Three-body Problem With Constant and Variable Masses

The book discuss motion of a test particle using the model of the R3BP when the masses are considered as varying with time and constant under different characterizations of the main bodies and the environment. For the variable mass model, the non-autonomous dynamical equations are derived and transformed to the autonomized systems with constant coefficients. The equilibrium points are computed for the variable and constant mass models. There exist up to five collinear points, finitely many triangular and out-of-plane points, which have been obtained using perturbation and Newton-Raphson's methods The stability of the equilibrium points are analyzed using the Lyapunov's method and numerical explorations are carried out and are applied to astrophysical and astronomical contexts, in order to validate the outcomes of the book.