Linear stability and the resonance cases for the triangular libration points for the doubly photo-gravitational elliptic restricted problem of three bodies

1989 ◽  
Vol 46 (1) ◽  
pp. 59-77 ◽  
Author(s):  
V. Kumar ◽  
R. K. Choudhry
Keyword(s):  
Linear Stability ◽  
Restricted Problem ◽  
Libration Points ◽  
Triangular Libration Points ◽  
Elliptic Restricted Problem

Non-linear stability around the triangular libration points

1981 ◽  
Vol 23 (3) ◽  
pp. 223-229 ◽  
Author(s):  
R. McKenzie ◽  
V. Szebehely
Keyword(s):  
Linear Stability ◽  
Libration Points ◽  
Triangular Libration Points ◽  
Non Linear

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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