Numerical determination of asymmetric periodic solutions in the planar general three body problem and their stability

1984 ◽  
Vol 30 (1) ◽  
pp. 79-94 ◽  
Author(s):  
T. Tsouroplis ◽  
C. G. Zagouras
Keyword(s):  
Periodic Solutions ◽  
Body Problem ◽  
Numerical Determination ◽  
Three Body Problem ◽  
Three Body

scholarly journals Asymmetric Periodic Orbits in the Three-Body Problem and Their Stability

1983 ◽  
Vol 74 ◽  
pp. 249-256
Author(s):  
A. Tsouroplis ◽  
C.G. Zagouras
Keyword(s):  
Periodic Solutions ◽  
Numerical Integration ◽  
Periodic Orbits ◽  
Body Problem ◽  
Numerical Determination ◽  
Three Body Problem ◽  
Stability Parameters ◽  
Variational Equations ◽  
Three Body

AbstractAn algorithm for the numerical determination of asymmetric periodic solutions of the planar general three body problem is described. The elements of the “variational” matrix which are used in this algorithm are computed by numerical integration of the corresponding “variational” equations. These elements are also used in the study of the linear isoenergetic stability. A number of asymmetric periodic orbits are presented and their stability parameters are given.

Sign in / Sign up

Export Citation Format

Share Document