Results 21 to 30 of about 20,514,878 (278)

On the equilibria of the restricted three-body problem with a triaxial rigid body, II: prolate primary

open access: yesResults 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
doaj   +1 more source

Solar sail dynamics in the three-body problem: homoclinic paths of points and orbits [PDF]

open access: yes, 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.
core   +4 more sources

Periodic Solution of the restricted three body problem

open access: yesBibechana, 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
doaj   +3 more sources

Solar sail equilibria in the elliptical restricted three-body problem [PDF]

open access: yes, 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
core   +4 more sources

Analysis of the spatial quantized three-body problem

open access: yesResults in Physics, 2020
In this paper, a new version of the restricted three-body problem is considered. That is the spatial quantized restricted three-body problem. The equations of motion of the infinitesimal body are constructed.
A.A. Alshaery, Elbaz I. Abouelmagd
doaj   +1 more source

A New Analysis of the Three-Body Problem

open access: yes, 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
openaire   +3 more sources

Global regularization method for planar restricted three-body problem [PDF]

open access: yesSerbian 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.
doaj   +1 more source

Autonomous Navigation Based on the Earth-Shadow Observation near the Sun–Earth L2 Point

open access: yesApplied 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
doaj   +1 more source

On the stability of displaced two-body lunar orbits [PDF]

open access: yes, 2010
In a prior study, a methodology was developed for computing approximate large displaced orbits in the Earth-Moon circular restricted three-body problem (CRTBP)by the Moon-Sail two-body problem.
Simo, J.   +3 more
core   +4 more sources

Three-Body Coulomb Problem

open access: yesPhysical 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
doaj   +1 more source

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