An application of recurrence relations to central force fields

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Turkish Journal of Astronomy and Astrophysics
Volume:5 Issue:2
An application of recurrence relations to central force fields

An application of recurrence relations to central force fields

Pages : 13-21

View : 74 | Download : 62

Publication Date : 2024-12-31

Article Type : Research Paper

Abstract :By generalizing the relationships between auxiliary variables that appear in the works of A.E. Roy, we investigate the dynamics of non-interacting particles under the action of a central force field whose force function is a solution to a certain differential equation. The method used by A.E. Roy, R. Broucke, and later by G. Sitarski, was utilized in such a way that the obtained recursive equations can be used to describe the motion of a particle under such a field. The class of such fields includes both gravitational and non-gravitational force fields. Several numerical and historically essential examples and detailed discussions of various cases are given.
Keywords : celestial mechanics, methods: numerical, methods: analytical, history and philosophy of astronomy

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