Results 11 to 20 of about 1,324,757 (302)

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

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

New periodic orbits in the solar sail three-body problem [PDF]

open access: yes, 2011
We identify displaced periodic orbits in the circular restricted three-body problem, wher the third (small) body is a solar sail. In particular, we consider solar sail orbits in the earth-sun system which are high above the exliptic plane.
Biggs, J.D.   +8 more
core   +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

Cylindrical Manifolds and Tube Dynamics in the Restricted Three-Body Problem [PDF]

open access: yes, 2004
Within the phase space of the planar circular restricted three-body problem, stable and unstable manifolds of periodic orbits with a S x R (cylindrical) geometry are shown to exist.
Ross, Shane David
core   +1 more source

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

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

The Three-Body Problem and the Anthropocene [PDF]

open access: yesContexto Internacional
The 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
doaj   +1 more source

Quasi-conservative Integration Method for Restricted Three-body Problem

open access: yesThe 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
doaj   +1 more source

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