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Crash test for the restricted three-body problem
Physical Review E, 2005The restricted three-body problem serves to investigate the chaotic behavior of a small body under the gravitational influence of two heavy primary bodies. We analyze numerically the phase space mixing of bounded motion, escape, and crash in this simple model of (chaotic) celestial mechanics.
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The photogravitational restricted three-body problem
Astrophysics and Space Science, 1994The photogravitational restricted three-body problem is reviewed and the case of the “out-of-plane” equilibrium points is analysed. It is found that, when the motion of an infinitesimal body is determined only by the gravitational forces and effects of the radiation pressure, there are no “out-of-plane” stable equilibrium points.
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More on the restricted three-body problem
American Journal of Physics, 1981The author provides an insight into libration points of the restricted three-body problem.(AIP)
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Approximation Solution of the Nonlinear Circular Sitnikov Restricted Four–Body Problem
Symmetry, 2021Elbaz I Abouelmagd +2 more
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Out-of-plane equilibrium points in the elliptic restricted three-body problem under albedo effect
New Astronomy, 2021M Javed Idrisi
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The effect of radiation pressure on the basins of convergence in the restricted four-body problem
Chaos, Solitons and Fractals, 2020Rajiv Aggarwal +2 more
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Capture in the Circular and Elliptic Restricted Three-Body Problem
Celestial Mechanics and Dynamical Astronomy, 2004Zoltan Mako, Ferenc Szenkovits
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The restricted three body problem revisited
Journal of Mathematical Analysis and Applications, 2010Henryk Zoladek
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