Computational algorithm to solve two–body problem using power series in geocentric system

Abstract

In this paper, a universal computational algorithm is constructed by using F and G series, which can be applied for any of conic orbit. In particular, to find the solution of the two–body problem. In this context, the solution of geocentric system motion of the Mercury planet in the solar system is found using the obtained computational algorithm.

Keywords

• two–problem
• f and g series
• computational algorithm
• 70f05
• 370f10
• 70f15
• 68w05