Modeling and Analysis of the Ground Experiment for Restricted Three-Body Problem

2014 ◽  
Vol 926-930 ◽  
pp. 3084-3087
Author(s):  
Hao Yang Li ◽  
Zhi Kun She ◽  
Bai Xue ◽  
Wang Jie Qiu ◽  
Zhi Ming Zheng
Keyword(s):  
Mathematical Model ◽  
Body Problem ◽  
Test System ◽  
Body Motion ◽  
Ideal Condition ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Ground Test ◽  
Three Body ◽  
The Ideal

This paper analyzes the restricted three-body problems in the ground test systems. First, under the ideal condition, after analyzing the forces on the spacecraft in the rotating coordinates, a mathematical model of elliptic restricted three-body motion is founded. Second, for the restricted three-body problem in the ground test system, the forces on the test ball are analyzed and the corresponding elliptic mathematical model apart from the perturbation is founded. Then, based on the two models founded above, the similarity between the ideal spatial model and the ground simulation model is analyzed.

scholarly journals The orbital stability of a test body motion in the field of two massive bodies

2018 ◽  
Vol 168 ◽  
pp. 04001
Author(s):  
Medeu Abishev ◽  
Saken Toktarbay ◽  
Aigerim Abylayeva ◽  
Amanhan Talkhat
Keyword(s):  
Body Problem ◽  
Orbital Stability ◽  
Test Body ◽  
Body Motion ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Test Particles ◽  
The Stability ◽  
Three Body ◽  
Insight Into

We investigate the orbital stability of a test particle motion in the restricted three-body problem where all bodies have their own rotation. We have shown that it is possible to get some insight into the stability properties of the motion of test particles in restricted three-body problem, without knowing the exact solutions of the relativistic motion equations.

scholarly journals Studying Close Approaches for a Cloud of Particles Considering Atmospheric Drag

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Vivian Martins Gomes ◽  
Jorge Formiga ◽  
Rodolpho Vilhena de Moraes
Keyword(s):  
Mathematical Model ◽  
Numerical Simulations ◽  
Body Problem ◽  
Equations Of Motion ◽  
Restricted Three Body Problem ◽  
The Sun ◽  
Atmospheric Drag ◽  
Three Body Problem ◽  
Three Body ◽  
The Mathematical Model

The present paper has the goal of studying close approaches between a planet and a group of particles. The mathematical model includes the presence of the atmosphere of the planet. This cloud is assumed to be created by the passage of the spacecraft in the atmosphere of the planet, which can cause the explosion of the spacecraft. The system is assumed to be formed by the Sun, the planet, and the spacecraft that explodes and becomes a cloud of particles. The Sun and the planet are assumed to be in circular orbits and the motion is planar. The equations of motion are the ones given by the circular planar restricted three-body problem combined with the forces given by the atmospheric drag. In the numerical simulations, the planet Jupiter is the celestial body used for the close approaches. The initial positions and velocities of the spacecraft and the particles are specified at the periapsis, because it is assumed that this is the point where the explosion occurs.

On the modified circular restricted three-body problem with variable mass

New Astronomy ◽  
2021 ◽  
Vol 84 ◽  
pp. 101510
Author(s):  
Md Sanam Suraj ◽  
Rajiv Aggarwal ◽  
Md Chand Asique ◽  
Amit Mittal
Keyword(s):  
Body Problem ◽  
Variable Mass ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Three Body

scholarly journals GEOMETRY OF HOMOCLINIC CONNECTIONS IN A PLANAR CIRCULAR RESTRICTED THREE-BODY PROBLEM

2007 ◽  
Vol 17 (04) ◽  
pp. 1151-1169 ◽  
Author(s):  
MARIAN GIDEA ◽  
JOSEP J. MASDEMONT
Keyword(s):  
Symbolic Dynamics ◽  
Body Problem ◽  
Invariant Manifolds ◽  
Libration Point ◽  
Homoclinic Orbits ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Lyapunov Orbits ◽  
Homoclinic Connections ◽  
Three Body

The stable and unstable invariant manifolds associated with Lyapunov orbits about the libration point L1between the primaries in the planar circular restricted three-body problem with equal masses are considered. The behavior of the intersections of these invariant manifolds for values of the energy between that of L1and the other collinear libration points L2, L3is studied using symbolic dynamics. Homoclinic orbits are classified according to the number of turns about the primaries.

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