Effects of Albedo and Oblateness in the Bi-Circular Restricted Four-Body Problem

Exploration and Maintenance of Homeomorphic Orbit Revs in the Elliptic Restricted Three-Body Problem

“…Several methods have been used so far by researchers ranging from location-based Target Point Approach (TPA), shape-similar trajectories, to finite-time Lyapunov exponents (FTLEs) in the form of the Cauchy Green Tensor (CGT) [17,18,25,27,28]. Studies performed on the effects of the Sun's gravity on the spacecraft as an additional perturbing force, through the Bi-Circular Restricted Four-Body Problem (BCR4BP) in the Sun-Earth-Moon system which presented significant positional deviation from a perfectly periodic halo orbit [6][7][8][9][10]. For Europa, due to the proximity to both Io and Ganymede, the Concentric Circular Restricted Four-Body Problem (CCR4BP) was a better approximation as all three moons are in resonance with each other [19,20].…”

“…For Europa, due to the proximity to both Io and Ganymede, the Concentric Circular Restricted Four-Body Problem (CCR4BP) was a better approximation as all three moons are in resonance with each other [19,20]. Another paper that focuses on the Sun-Earth-Moon system also includes the effect of albedo on the celestial bodies themselves as an additional parameter [10]. Nonuniform gravitational fields have also been studied in the context of perturbations to the CR3BP whereas the primary and secondary were considered oblate spheroids with no obliquity [10][11][12][13][14][15][16][17][18].…”

“…Another paper that focuses on the Sun-Earth-Moon system also includes the effect of albedo on the celestial bodies themselves as an additional parameter [10]. Nonuniform gravitational fields have also been studied in the context of perturbations to the CR3BP whereas the primary and secondary were considered oblate spheroids with no obliquity [10][11][12][13][14][15][16][17][18]. Many of these studies focus on the Europa and Enceladus as the proximity to both the planet and moon affect the perceived gravity as a function of latitude [13][14][15][16].…”