Characteristic exponents for the triangular points in the elliptic restricted problem of three bodies

AIAA Journal ◽  
1970 ◽  
Vol 8 (10) ◽  
pp. 1916-1917 ◽  
Author(s):  
ALI HASAN NAYFEH
Keyword(s):  
Restricted Problem ◽  
Triangular Points ◽  
Characteristic Exponents ◽  
Elliptic Restricted Problem

scholarly journals New Results for the Linear Stability of the Triangular Points in the Elliptic Restricted Problem

1983 ◽  
Vol 74 ◽  
pp. 289-299
Author(s):  
R. Meire
Keyword(s):  
Periodic Solutions ◽  
Linear Stability ◽  
Restricted Problem ◽  
Triangular Points ◽  
Elliptic Restricted Problem ◽  
The Hill ◽  
Transition Curves

AbstractNew results are obtained for the linear stability of the triangular points in the elliptic restricted problem using the Hill equations which describe the infinitesimal motion around L4,L5. Also the shape of the 4Π-periodic solutions along the transition curves in the μ-e plane is investigated .

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