Transition regions between stable periodic solutions of the general three-body problem

2014 ◽  
Vol 58 (11) ◽  
pp. 860-868 ◽  
Author(s):  
P. P. Iasko ◽  
V. V. Orlov
Keyword(s):  
Periodic Solutions ◽  
Body Problem ◽  
Three Body Problem ◽  
Stable Periodic ◽  
Three Body

scholarly journals A Complete Family of Periodic Solutions of the Planar Three-Body Problem and their Stability

1977 ◽  
Vol 33 ◽  
pp. 159-159
Author(s):  
M. Hénon
Keyword(s):  
Periodic Solutions ◽  
Periodic Orbits ◽  
Body Problem ◽  
The Other ◽  
Three Body Problem ◽  
Complete Family ◽  
First Order ◽  
Hierarchical Arrangement ◽  
The Family ◽  
Three Body

AbstractWe give a complete description of a one-parameter family of periodic orbits in the planar problem of three bodies with equal masses. This family begins with a rectilinear orbit, computed by Schubart in 1956. It ends in retrograde revolution, i.e., a hierarchy of two binaries rotating in opposite directions. The first-order stability of the orbits in the plane is also computed. Orbits of the retrograde revolution type are stable; more unexpectedly, orbits of the “interplay” type at the other end of the family are also stable. This indicates the possible existence of triple stars with a motion entirely different from the usual hierarchical arrangement.

scholarly journals On the periodic solutions of the three-body problem

2019 ◽  
Vol 6 (6) ◽  
pp. 1070-1071
Author(s):  
Shijun Liao ◽  
Xiaoming Li
Keyword(s):  
Periodic Solutions ◽  
Body Problem ◽  
Three Body Problem ◽  
Three Body
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