The goal of this paper is to reveal numerically the generalized Henon-Heiles system, that is, in the seventh-degree potential function where the smallest body mass varies. Utilizing the seventh degree potential function, we determine the equations of motion for the variable mass generalized Henon-Heiles system. Then we perform the graphical works such as locations of parking points, allowed regions of motion, and attracting domain basins. Lastly, using the Meshcherskii space transformations, we investigate stability states for these parking points.
Sahdev, Shiv K. and Ansari, Abdullah A.
(R1884) Motion of Variable Mass Body in the Seventh-Degree Henon-Heiles System,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 17,
2, Article 9.
Available at: https://digitalcommons.pvamu.edu/aam/vol17/iss2/9