Results 11 to 20 of about 19,332,899 (233)
Solar sail dynamics in the three-body problem: homoclinic paths of points and orbits [PDF]
, 2008 In this paper we consider the orbital previous termdynamicsnext term of a previous termsolar sailnext term in the Earth-Sun circular restricted three-body problem. The equations of motion of the previous termsailnext term are given by a set of non-linear
Waters, Thomas J., McInnes, Colin R.
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Solar sail equilibria in the elliptical restricted three-body problem [PDF]
, 2006 The existence and dynamical properties of artificial equilibria for solar sails in the elliptical restricted threebody problem is investigated.We show that planar two-dimensional equilibrium curves exist, embedded in threedimensional space, in a ...
McInnes, Colin, Baoyin, Hexi
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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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