Equations of motion of elliptic restricted problem of three bodies with variable mass

1988 ◽  
Vol 45 (4) ◽  
pp. 387-393 ◽  
Author(s):  
R. K. Das ◽  
A. K. Shrivastava ◽  
B. Ishwar
Keyword(s):  
Restricted Problem ◽  
Equations Of Motion ◽  
Variable Mass ◽  
Elliptic Restricted Problem

Equations of motion of the restricted problem of three bodies with variable mass

1983 ◽  
Vol 30 (3) ◽  
pp. 323-328 ◽  
Author(s):  
A. K. Shrivastava ◽  
Bhola Ishwar
Keyword(s):  
Restricted Problem ◽  
Equations Of Motion ◽  
Variable Mass

Variable mass motion in the Hénon–Heiles system

2021 ◽  
pp. 2150150
Author(s):  
Abdullah A. Ansari ◽  
Elbaz I. Abouelmagd
Keyword(s):  
Test Particle ◽  
Equations Of Motion ◽  
Variable Mass ◽  
Stationary Points ◽  
Mass Motion ◽  
Jacobi Integral

In this work, we analyze the motion properties of the test particle, that has a variable mass within the frame of Hénon–Heiles system. We derive the equations of motion of the test particle which varies its mass according to Jean’s law. We also determine the quasi-Jacobi integral which shows the effective variation due to variable mass parameters. Further, we studied the locations of stationary points and their stability, after using Meshcherskii spacetime inverse transformations.

scholarly journals The Mechanism of Branching of Three-Dimensional Periodic Orbits from the Plane

1983 ◽  
Vol 74 ◽  
pp. 213-224
Author(s):  
I.A. Robin ◽  
V.V. Markellos
Keyword(s):  
Recent Work ◽  
Periodic Orbits ◽  
Restricted Problem ◽  
Three Dimensional ◽  
General Situation ◽  
Orbital Symmetry ◽  
Resonant Orbits ◽  
Symmetry Properties ◽  
Elliptic Restricted Problem ◽  
Symmetric Periodic Orbits

AbstractA linearised treatment is presented of vertical bifurcations of symmetric periodic orbits(bifurcations of plane with three-dimensional orbits) in the circular restricted problem. Recent work on bifurcations from vertical-critical orbits (av = ±1) is extended to deal with the v more general situation of bifurcations from vertical self-resonant orbits (av = cos(2Πn/m) for integer m,n) and it is shown that in this more general case bifurcating families of three-dimensional orbits always occur in pairs, the orbital symmetry properties being governed by the evenness or oddness of the integer m. The applicability of the theory to the elliptic restricted problem is discussed.

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