On the Applications of Ricatti Differential Equations to Some Special Cases of the Two-Body Problem with Variable Masses

Ilhan M. Izmirli^1,

¹George Mason University, United States

Cite this paper:
Ilhan M. Izmirli. On the Applications of Ricatti Differential Equations to Some Special Cases of the Two-Body Problem with Variable Masses. American Journal of Applied Mathematics and Statistics. 2021; 9(2):53-56. doi: 10.12691/ajams-9-2-3

Abstract

In this paper, we obtain the solution of the two-body problem with variable masses by posing some assumptions on the classical equation and thereby reducing the solution of the problem to investigating the solutions of some Ricatti type differential equations. Along this process, we also give a simple proof of the well-known Mestscherskii Theorem and establish some related formal relations under these assumptions.

Keywords:
two body problem with variable masses ricatti equation Mestscherskii's therem

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