This paper investigates the circular restricted four-body problem in which three primaries are taken as triaxial rigid body which are placed at the vertices of an equilateral triangle and the fourth infinitesimal body is varying its mass with time. We used the Jeans law to determine equations of motion and then evaluated the Jacobi integral. In the next section, we have performed the computational work to draw the graphs of the equilibrium points in different planes, zero velocity curves, surfaces and the Newton-Raphson basins of attraction with the variations of the triaxiality parameters. Finally, we have examined the linear stability of the equilibrium points with the help of Meshcherskii space-time inverse transformation and found that all the equilibrium points are unstable.
Ansari, Abdullah A.
The Circular Restricted Four-body Problem With Triaxial Primaries and Variable Infinitesimal Mass,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 13,
2, Article 14.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss2/14