Abstract
In this paper, we deal with the motion of the variable infinitesimal body having a variable mass in CR3BP, when the primaries are
assumed to be finite straight segments. We also assume that the primaries
are placed in a straight line and move in circular orbits. These orbits are
assumed to be around the common center of mass of the primaries and
which we take as origin of the coordinates system. The third body is moving under the gravitational forces of the primaries but it does not influence
their behavior. We first determine the equations of motion of the infinitesimal body and then the Jacobi-Integral constant. We study numerically the
equilibrium points, regions of motion, zero-velocity surfaces with projection, surfaces with variation of Jacobi constant, Poincare surface of sec- ´
tions and basins of attraction by using Mathematica software. Finally, we
examine the stability of the equilibrium points.
Abdullah A. Ansari, Rabah Kellil, Ziyad A. Alhussain. (2019) Behavior of an Infinitesimal-Variable-Mass Body in CR3BP; the Primaries are Finite Straight Segments, Punjab University Journal of Mathematics, Volume 51, Issue 5.
-
Views
453 -
Downloads
67
Article Details
Volume
Issue
Type
Language
