On the existence of generalised syzygies in the planar three-body problem by Tsygvintsev, Alexei

“…We consider the Newtonian planar three-body problem. One defines a generalised syzygy as a configuration where the three bodies or their velocities become collinear. …”
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Some remarks on the stability analysis in Robe's three body problem by R. Meire

Subjects: “…3-body problem…”
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Velocity Syzygies and Bounding Syzygy Moments in the Planar Three-Body Problem by Tsygvintsev, Alexei

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Stability of the Moons Orbits in Solar System in the Restricted Three-Body Problem by Sergey V. Ershkov

“…We consider the equations of motion of three-body problem in a Lagrange form (which means a consideration of relative motions of 3 bodies in regard to each other). …”
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Artificial Controlling of the Collinear Liberation Points Using Lorentz Force in the Restricted Three-Body Problem by M.I. El-Saftawy, M.A. Yousef, A. Mostafa

“…This work studies the possibility of generating artificial collinear liberation points for the planar circular restricted three-body problem using Lorentz force affecting a charged spacecraft due to the magnetic field of a planet. …”
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Equilibrium Points and Related Periodic Motions in the Restricted Three-Body Problem with Angular Velocity and Radiation Effects by E. A. Perdios, V. S. Kalantonis, A. E. Perdiou, A. A. Nikaki

“…The paper deals with a modification of the restricted three-body problem in which the angular velocity variation is considered in the case where the primaries are sources of radiation. …”
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High-Order Analytic Expansion of Disturbing Function for Doubly Averaged Circular Restricted Three-Body Problem by Takashi Ito

“…Terms in the analytic expansion of the doubly averaged disturbing function for the circular restricted three-body problem using the Legendre polynomial are explicitly calculated up to the fourteenth order of semimajor axis ratio (α) between perturbed and perturbing bodies in the inner case (α<1), and up to the fifteenth order in the outer case (α>1). …”
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The hierarchical three-body problem at O G 2 $$ \mathcal{O}\left({G}^2\right) $$ by Mikhail P. Solon, Anna M. Wolz

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Nonlinear Stability of Oblate Infinitesimal in Elliptic Restricted Three-Body Problem Influenced by the Oblate and Radiating Primaries by A. Narayan, A. Chakraborty, A. Dewangan

“…This work deals with the nonlinear stability of the elliptical restricted three-body problem with oblate and radiating primaries and the oblate infinitesimal. …”
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Pulsating Different Curves of Zero Velocity around Triangular Equilibrium Points in Elliptical Restricted Three-Body Problem by A. Narayan, Amit Shrivastava

“…The oblateness and the photogravitational effects of both the primaries on the location and the stability of the triangular equilibrium points in the elliptical restricted three-body problem have been discussed. The stability of the triangular points under the photogravitational and oblateness effects of both the primaries around the binary systems Achird, Lyeten, Alpha Cen-AB, Kruger 60, and Xi-Bootis, has been studied using simulation techniques by drawing different curves of zero velocity.…”
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Motion of the Infinitesimal Variable Mass in the Generalized Circular Restricted Three-Body Problem under the Effect of Asteroids Belt by Ferdaous Bouaziz-Kellil

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Optimization of the Forcing Term for the Solution of Two-Point Boundary Value Problems by Gianni Arioli

“…We provide an application of this algorithm to the planar restricted three body problem in order to study the planning of low-thrust transfer orbits.…”
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The Predictions of Noncollinear Equilibria Positions in ER3BP with Yukawa-Like Corrections by E. Baby Anitha, Tenaw Tilahun Asmamaw, M. Javed Idrisi

“…The existence and stability of noncollinear equilibrium points in the elliptic restricted three-body problem under the consideration of Yukawa correction to Newtonian potential are studied in this paper. …”
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On the Stability of L4,5 in the Relativistic R3BP with Oblate Secondary and Radiating Primary by Nakone Bello, Jagadish Singh

“…We consider a version of the relativistic restricted three-body problem (R3BP) which includes the effects of oblateness of the secondary and radiation of the primary. …”
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Initial Parameter Analysis about Resonant Orbits in Earth-Moon System by Li-Bo Liu, Ying-Jing Qian, Xiao-Dong Yang

“…Resonant orbits with different ratios are obtained in the two-body problem and planar circular restricted three-body problem (i.e., PCRTBP). It is found that the eccentricity and initial phase are two important initial parameters of resonant orbits that affect the closest distance between the spacecraft and the Moon. …”
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Translating culture: the rise and resonance of Chinese contemporary literature in the Portuguese-speaking world by Xin Huang, Xiang Zhang

“…It then analyzes the reviews of well-received translations, including the Three-Body Problem trilogy, Iron Widow, and The Good Women of China, to determine how Portuguese-speaking readers interpret Chinese elements, historical references, narrative styles, and themes. …”
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The Hamiltonian Structure-Preserving Control and Some Applications to Nonlinear Astrodynamics by Ming Xu, Yan Wei, Shengli Liu

“…This controller is applied to some astrodynamics to achieve some interesting conclusions, including stable lissajous orbits in solar sail’s three-body problem and degenerated two-body problem, quasiperiodic formation flying on a J2-perturbed mean circular orbit, and controlled frozen orbits for a spacecraft with a high area-to-mass ratio.…”
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Multiple Spacecraft Formation Flying Control around Artificial Equilibrium Point Using Propellantless Approach by Lei Zhao, Changqing Yuan, Xiaoming Li, Jingjiu He

“…Secondly, considering the external disturbances in the deep space environment, the nonlinear dynamic model of the spacecraft formation system based on the circular restricted three-body problem (CRTBP) is derived, under the assumption that the leader covers the nominal trajectory and each follower adjusts its propulsive acceleration vector (that is, both its sail attitude and electrostatic charge) in order to track a desired relative trajectory. …”
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