Study on the Lagrange Stability of Motion and Final Evolutions in the Three-Body Problem

2021 ◽  
pp. 82-98
Author(s):  
S. P. Sosnitskii
Keyword(s):  
Body Problem ◽  
Stability Of Motion ◽  
Three Body Problem ◽  
Lagrange Stability ◽  
Three Body

scholarly journals Primaries Oblateness Effects on the Collinear Libration Points in the Restricted-three Body Problem

2019 ◽  
Author(s):  
M. N. Ismail ◽  
A. H. Ibrahim ◽  
G. H. F. Mohamadin ◽  
W. A. Okasha
Keyword(s):  
Body Problem ◽  
Libration Points ◽  
Restricted Three Body Problem ◽  
Stability Of Motion ◽  
Three Body Problem ◽  
Numerical Application ◽  
Surface Section ◽  
The Stability ◽  
Three Body ◽  
Good Agreement

In this work, the canonical Hamiltonian form of the restricted three- body problem including the effects of primaries oblateness is presented. Moreover, the collinear libration points are obtained. In addition to this, the relation between position of libration points and variation in (mass ration , oblateness coefficients A1 and A2) is studied. The results obtained are a good agreement with Perdios [1] & Singh [2].  The Poincare surface section PSS is used to illustrate the stability of motion around each of the collinear libration points. A numerical application on the real system Earth-Moon is presented.

Rigid-Rotator and Fixed-Shape Solutions to the Coulomb Three-Body Problem

1997 ◽  
Vol 22 (1) ◽  
pp. 37-60 ◽  
Author(s):  
A. Santander ◽  
J. Mahecha ◽  
F. Pérez
Keyword(s):  
Body Problem ◽  
Three Body Problem ◽  
Rigid Rotator ◽  
Three Body
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