Results 21 to 30 of about 767,122 (251)
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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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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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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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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Secular perturbations of the translational-rotational motion in a nonstationary three-body problem
Вестник КазНУ. Серия математика, механика, информатика, 2022 A non-stationary three-body problem with axisymmetric dynamic structure, shape, and variable compression is considered. The Newtonian interaction force is characterized by an approximate expression of the force function accurate to the second harmonic ...
M. Zh. Minglibayev, A. K. Kushekbai
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The restricted problem of three bodies [PDF]
Transactions of the American Mathematical Society, 1942 Not ...
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