Results 21 to 30 of about 14,560 (262)

Geometric Analysis of Sun-Assisted Lunar Transfer Trajectories in the Planar Bicircular Four-Body Model

open access: yesApplied Sciences, 2023
This research presents a geometric analysis of Sun-assisted low-energy lunar transfers and several convenient tools that enable the systematic trajectory design in the framework of the planar bicircular restricted four-body problem.
Anastasia Tselousova   +3 more
doaj   +1 more source

Highly Efficient Numerical Integrator for the Circular Restricted Three-Body Problem

open access: yesSymmetry, 2022
The dynamic equation of a mass point in the circular restricted three-body problem is governed by Coriolis and centrifugal force, in addition to a co-rotating potential relative to the frame. In this paper, we provide an explicit, symmetric integrator for this problem.
Xiongbiao Tu, Qiao Wang, Yifa Tang
openaire   +1 more source

On the stability of artificial equilibrium points in the circular restricted three-body problem [PDF]

open access: yesCelestial Mechanics and Dynamical Astronomy, 2010
The article analyses the stability properties of minimum-control artificial equilibrium points in the planar circular restricted three-body problem. It is seen that when the masses of the two primaries are of different orders of magnitude, minimum-control equilibrium is obtained when the spacecraft is almost coorbiting with the second primary as long ...
Bombardelli, Claudio   +1 more
openaire   +2 more sources

Non-truncated strategy to exactly integrate the post-Newtonian Lagrangian circular restricted three-body problem

open access: yesEuropean Physical Journal C: Particles and Fields, 2018
In this study, we present a novel non-truncated strategy by accompanying the fixed-point iteration with traditional numerical integrators. The proposed non-truncated strategy aims to exactly integrate implicit motion equations that are directly derived ...
Li Huang, Lijie Mei, Shixiang Huang
doaj   +1 more source

High-Order Analytic Expansion of Disturbing Function for Doubly Averaged Circular Restricted Three-Body Problem

open access: yesAdvances in Astronomy, 2016
Terms in the analytic expansion of the doubly averaged disturbing function for the circular restricted three-body problem using the Legendre polynomial are explicitly calculated up to the fourteenth order of semimajor axis ratio (α) between perturbed and
Takashi Ito
doaj   +1 more source

Phasing analysis on DRO with impulsive maneuver

open access: yesFrontiers in Astronomy and Space Sciences, 2023
The cis-lunar periodic orbit exhibits some unique dynamic characteristics. Among them is the distant retrograde orbit, which has long-term stability and is one of the ideal candidate deployment orbits for cis-lunar space stations and deep-space ...
Honglan Fu   +4 more
doaj   +1 more source

Solutions of the Sitnikov's circular restricted three body problems when primaries are oblate spheroid

open access: yesBibechana, 2013
The solutions of sitnikov's circular restricted three body problem has been tried to obtain by using Lindstedt poincare method if the primaries are oblate spheroid.
RR Thapa, MR Hassan
doaj   +3 more sources

Effects of Poynting–Robertson drag on the circular restricted Three-Body Problem with variable masses

open access: yesJournal of Taibah University for Science, 2018
This paper presents an investigation on the dynamical effect of Poynting–Robertson drag on the circular restricted three-body problem by considering all the masses are variable (primaries as well as infinitesimal body). After determining the equations of
Ziyad A. Alhussain
doaj   +1 more source

Effect of variation of charge in the circular restricted three-body problem with variable masses

open access: yesJournal of Taibah University for Science, 2019
In the present paper, we are concerned by some investigation on circular restricted three-body problem (CR3BP), where we assume that the primaries have variable masses and variable charges. Among the principal tools used in the present study, we cite the
Abdullah Abduljabar Ansari   +3 more
doaj   +1 more source

The stability of orbit of a planet in the field of binary stars

open access: yesPhysical Sciences and Technology, 2021
In the paper, we consider the motion of a planet in the field of the binary stars in the theory of generalrelativity (GR), when all bodies have their own rotation. We consider that the third body moves in the planof massive two bodies.
S. Toktarbay, A. Talkhat, A. Orazymbet
doaj   +1 more source

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