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Periodic Orbits of Quantised Restricted Three-Body Problem
Universe, 2023 In this paper, perturbed third-body motion is considered under quantum corrections to analyse the existence of periodic orbits. These orbits are studied through two approaches to identify the first (second) periodic-orbit types.
Elbaz I. Abouelmagd +2 more
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Quantum three-body problems [PDF]
Science in China Series A: Mathematics, 2000 An improved hyperspherical harmonic method for the quantum three-body problem is presented to separate three rotational degrees of freedom completely from the internal ones. In this method, the Schrödinger equation of three-body problem is reduced to a system of linear algebraic equations in terms of the orthogonal bases of functions.
Ma, Zhong-Qi, Dai, An-Ying
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Results in Physics, 2022 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
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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New periodic orbits in the solar sail restricted three body problem [PDF]
, 2008 In this paper we consider periodic orbits of a solar sail in the Earth-Sun restricted three-body problem. In particular, we consider orbits which are high above the ecliptic plane, in contrast to the classical Halo orbits about the collinear equilibria ...
Biggs, J.D., Waters, Thomas, McInnes, C.
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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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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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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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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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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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