Results 21 to 30 of about 3,021,272 (295)
Periodic Solution of the restricted three body problem
Bibechana, 2013 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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A New Analysis of the Three-Body Problem
, 2022 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
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Collisionless periodic orbits in the free-fall three-body problem [PDF]
New Astronomy, 2018 Although the free-fall triple system has been numerically studied for more than one century, however, only four collisionless periodic orbits have been found.
Xiaoming Li, S. Liao
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Global regularization method for planar restricted three-body problem [PDF]
Serbian Astronomical Journal, 2015 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
Applied Sciences, 2022 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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BURRAU'S PROBLEM OF THREE BODIES [PDF]
Proceedings of the National Academy of Sciences, 1967 initially. The problem treated in this paper is to determine their subsequent motion. Because of the relation of the initial conditions to a Pythagoreani triangle, Burrau's problem may also be referred to as a Pythagorean problem of three bodies. That the motion of the particles takes place in the plane of the triangle is an immediate consequence of ...
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Physical Review X, 2017 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]
Contexto InternacionalThe 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 Astrophysical Journal, 2023 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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The perturbed photogravitational restricted three-body problem: Analysis of resonant periodic orbits
Discrete and Continuous Dynamical Systems. Series A, 2019 In the framework of the perturbed photo-gravitational restricted three-body problem, the first order exterior resonant orbits and the first, third and fifth order interior resonant periodic orbits are analyzed.
Niraj M. Pathak +2 more
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