Results 11 to 20 of about 1,324,757 (302)
The main goal of this work is to elucidate the effect of the inclusion of a rigid triaxial prolate primary body on the dynamics of the circular restricted three-body problem.
H.I. Alrebdi +2 more
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Periodic Solution of the restricted three body problem
The effect of perturbation in centrifugal force on the periodic solution of the restricted three-body problem representing analytic continuation of Keplerian rectilinear periodic motion has been examined.
MR Hassan, RR Thapa
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New periodic orbits in the solar sail three-body problem [PDF]
We identify displaced periodic orbits in the circular restricted three-body problem, wher the third (small) body is a solar sail. In particular, we consider solar sail orbits in the earth-sun system which are high above the exliptic plane.
Biggs, J.D. +8 more
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A New Analysis of the Three-Body Problem
In the recent papers~[18],~[5], respectively, the existence of motions where the perihelions afford periodic oscillations about certain equilibria and the onset of a topological horseshoe have been proved. Such results have been obtained using, as neighbouring integrable system, the so--called two--centre (or {\it Euler}) problem and a suitable ...
Jerome Daquin +2 more
openaire +3 more sources
Cylindrical Manifolds and Tube Dynamics in the Restricted Three-Body Problem [PDF]
Within the phase space of the planar circular restricted three-body problem, stable and unstable manifolds of periodic orbits with a S x R (cylindrical) geometry are shown to exist.
Ross, Shane David
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Global regularization method for planar restricted three-body problem [PDF]
In this paper, global regularization method for planar restricted three-body problem is purposed by using the transformation z = x+iy = ν cos n(u+iv), where i = √−1, 0 < ν ≤ 1 and n is a positive integer. The method is developed analytically and
Sharaf M.A., Dwidar H.R.
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Autonomous Navigation Based on the Earth-Shadow Observation near the Sun–Earth L2 Point
This paper is devoted to a novel autonomous navigation method for spacecraft around the Sun–Earth L2 point. In contrast to the previous navigation methods, which rely on ground-based or inter-spacecraft measurements, the proposed method determines the ...
Qian Li +3 more
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We present a general approach for the solution of the three-body problem for a general interaction and apply it to the case of the Coulomb interaction. This approach is exact, simple, and fast.
R. Combescot
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The Three-Body Problem and the Anthropocene [PDF]
The so-called Anthropocene is a new epoch characterized by deep biophysical changes that threaten the continuity of life on Earth for millions of species, including humans.
Veronica Korber Gonçalves +2 more
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Quasi-conservative Integration Method for Restricted Three-body Problem
The simplest restricted three-body problem, in which two massive points and a massless point particle attract one another according to Newton’s law of inverse squares, has pulsating Hill’s regions where the massless particle moves inside the closed ...
Yukitaka Minesaki
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