The Three-Body Problem and the Anthropocene by Veronica Korber Gonçalves, Thais Lemos Ribeiro, Cristina Yumie Aoki Inoue

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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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Exploring the Influence of Oblateness on Asymptotic Orbits in the Hill Three-Body Problem by Vassilis S. Kalantonis

Subjects: “…circular restricted three-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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Artificial Triangular Points by Lorentz Force in the Restricted Three-Body Problem by A. Mostafa, M. A. Yousef, M. I. El-Saftawy

“…The restricted three body problem was outlined. The acceleration due to planetary magnetic field, in terms of space craft’s orbital elements, was analysed. …”
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On Eulerian equilibria in K-order approximation of the gyrostat in the three-body problem by J. A. Vera, A. Vigueras

“…We consider the noncanonical Hamiltonian dynamics of a gyrostat in the three-body problem. By means of geometric-mechanics methods we study the approximate Poisson dynamics that arises when we develop the potential in series of Legendre and truncate this in an arbitrary order k. …”
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A brief solution to three-body problem: Newtonian and Hamiltonian versions by Cristian Aguirre -Tellez, Miryam Rincon-Joya, José José Barba-Ortega

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Existence and Linear Stability of Equilibrium Points in the Robe’s Restricted Three-Body Problem with Oblateness by Jagadish Singh, Abubakar Umar Sandah

“…This paper investigates the positions and linear stability of an infinitesimal body around the equilibrium points in the framework of the Robe’s circular restricted three-body problem, with assumptions that the hydrostatic equilibrium figure of the first primary is an oblate spheroid and the second primary is an oblate body as well. …”
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A Note on the Existence of a Smale Horseshoe in the Planar Circular Restricted Three-Body Problem by Xuhua Cheng, Zhikun She

“…It has been proved that, in the classical planar circular restricted three-body problem, the degenerate saddle point processes transverse homoclinic orbits. …”
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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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General Three-Body Problem in Conformal-Euclidean Space: New Properties of a Low-Dimensional Dynamical System by Ashot S. Gevorkyan, Aleksander V. Bogdanov, Vladimir V. Mareev

Subjects: “…classical three-body problem…”
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Approximate Analytical Three-Dimensional Multiple Time Scales Solution to a Circular Restricted Three-Body Problem by Fabao Gao, Yongqing Wang

“…We illustrate the chaotic nature of the circular restricted three-body problem from the perspective of the bifurcation diagram with respect to the mass ratio parameter. …”
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Effect of Perturbations in Coriolis and Centrifugal Forces on the Nonlinear Stability of Equilibrium Point in Robe's Restricted Circular Three-Body Problem by P. P. Hallan, Khundrakpam Binod Mangang

“…The effect of perturbations in Coriolis and cetrifugal forces on the nonlinear stability of the equilibrium point of the Robe's (1977) restricted circular three-body problem has been studied when the density parameter K is zero. …”
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Generalized Out-of-Plane Equilibrium Points in the Frame of Elliptic Restricted Three-Body Problem: Impact of Oblate Primary and Luminous-Triaxial Secondary by Aminu Abubakar Hussain, Aishetu Umar

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The Three-Body Problem in Stress Biology: The Balance Between O₂, NO, and H₂S in the Context of Hans Selye’s Stress Concept by Hideo Yamasaki, Riko F. Naomasa, Kakeru B. Mizumoto, Michael F. Cohen

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Existence of Resonance Stability of Triangular Equilibrium Points in Circular Case of the Planar Elliptical Restricted Three-Body Problem under the Oblate and Radiating Primaries around the Binary System by A. Narayan, Amit Shrivastava

“…This paper analyzes the existence of resonance stability of the triangular equilibrium points of the planar elliptical restricted three-body problem when both the primaries are oblate spheroid as well as the source of radiation under the particular case, when e=0. …”
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Equilibrium Points and Periodic Orbits in the Circular Restricted Synchronous Three-Body Problem with Radiation and Mass Dipole Effects: Application to Asteroid 2001SN₂₆₃ by Aguda Ekele Vincent, Jagadish Singh, George A. Tsirogiannis, Vassilis S. Kalantonis

“…This study numerically explores the dynamics of the photogravitational circular restricted three-body problem, where an infinitesimal particle moves under the gravitational influence of two primary bodies connected by a massless rod. …”
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Stability of Hierarchical Triples Comprising a Central Massive Body and a Tight Binary: The Effect of Inner and Outer Eccentricities on the Binary Breakup Condition by Toshinori Hayashi, Alessandro A. Trani, Yasushi Suto

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Dynamical and Secular Stability of Mutually Inclined Planetary Systems by Hareesh Gautham Bhaskar, Hagai Perets

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A Unified, Physical Framework for Mean Motion Resonances by Daniel Tamayo, Samuel Hadden

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