Results 191 to 200 of about 19,151,760 (225)

Global Regularization of the Restricted Problem of Three Bodies

Celestial Mechanics and Dynamical Astronomy, 2004
The restricted plane circular three-body problem is considered. It is well known that the differential equations of the problem have singularities when the distance between the third body and one of the primaries tends to zero (collisions). Motions near or through collisions can be studied only by using regularized equations of motion.
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STABILIZATION OF CHAOTIC BEHAVIOR IN THE RESTRICTED THREE-BODY PROBLEM

International Journal of Bifurcation and Chaos, 2007
The restricted three-body problem on the example of a perturbed Sitnikov case is considered. On the basis of the Melnikov method we study a possibility to stabilize the obtained chaotic solutions by two bodies placed in the triangular Lagrange points.
Arsen Dzhanoev, Alexander Loskutov
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Dynamics of the Parabolic Restricted Collinear Three-Body Problem

SIAM Journal on Applied Dynamical Systems, 2019
Summary: We give a complete study of the dynamics of an infinitesimal mass under the Newtonian attraction of two point masses -- particles which escape along a line with zero energy -- and a third massless particle moving along the same line (called the parabolic restricted collinear three-body problem).
Joaquín Delgado, Claudio Vidal
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A Note on the Regularization of the Restricted Three‐body Problem

Astronomische Nachrichten, 1976
AbstractThe requirement that near a singular point of the equations of motion the power series expansions of the old variables in terms of the new ones start with second order terms leads to the transformation z = sin21/2w related to that of THIELE‐BURRAU. Using this new transformation, a derivation of the regularized equations of motion is given.
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Crash test for the restricted three-body problem

Physical Review E, 2005
The 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, 1994
The 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, 1981
The author provides an insight into libration points of the restricted three-body problem.(AIP)
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On the equilibria of the restricted four-body problem with triaxial rigid primaries - I. Oblate bodies

Chaos, Solitons and Fractals, 2021
Euaggelos E Zotos, Shāh Muhammad, Faisal Zaid Duraihem   +2 more
exaly  

Out-of-plane equilibrium points in the elliptic restricted three-body problem under albedo effect

New Astronomy, 2021
M Javed Idrisi
exaly  

The effect of radiation pressure on the basins of convergence in the restricted four-body problem

Chaos, Solitons and Fractals, 2020
Rajiv Aggarwal, Amit Mittal, Md Chand Asique   +2 more
exaly