Bifurcation analysis and approximate analytical periodic solution of ER3BP with radiation and albedo effects

Periodic Orbits of the Restricted Three-Body Problem Based on the Mass Distribution of Saturn’s Regular Moons

“…Considering that the mass and radiation of celestial bodies are constantly changing in practical problems, this has prompted scholars to study the variable-mass three-body problem that is more in line with the actual situation. Therefore, considering variable mass, radiation, albedo, etc., in the restricted three-body problem will be more realistic [9][10][11][12][13][14][15][16][17][18][19][20][21][22]. For example, if a star has a strong radiation ability, the dynamic equation established by ignoring its radiation factor will become unreliable.…”

Orbital Dynamics in the Restricted Three Body Problem: Overview of Recent Analytical Advances Obtained by Separating Rapid and Slow Subsystems in Non-Planar Configurations

“…Most of the successes in the restricted three-body problem were limited either to the planar geometry, to the motion around the Lagrange points, or to the Kozai-Lidov effect. The interested reader can refer to books, e.g., by Butikov [1], Brouwer and Clemence [2], Smart [3], Fitzpatrick [4], Sterne [5], Koon et al [6], Beutler [7], Celetti [8], and Valtonen and Karttunen [9] (and the references in these books); and reviews by Naoz [10] and Musielac and Quarles [11] (and the references in these reviews); as well as recent papers by Napier et al [12], Vashkov'yak [13], Wang et al [14], Quarles et al [15], Gao and Wang [16][17][18], Mittal et al [19], Abouelmagd et al [20], Li and Liao [21], Sindik et al [22], Vinson and Chiang [23], Naoz et al [24], Orlov et al [25], Lei and Xu [26], and the references in these papers.…”