### Solve the Position to Time Equation for an Object Travelling on a Parabolic Orbit in Celestial Mechanics

*Academic Science Journal*

2013, Volume 9, Issue 4, Pages 31-38

2013, Volume 9, Issue 4, Pages 31-38

#### Abstract

in this paper, the two body problem equation in parabolic orbit in celestial mechanics is solved using new iterative method with quadratic convergence. Initial solution is suggested depending on the time , earth gravitational constant and the angular distance to be , . The proposed methods considerably to be improvement of Newton's method with less iteration are needed to reach the solution of two body problem in parabolic orbit.

#### Keywords

Parabolic orbit, Barker's formula, Two body problem, Iterative methods, Order of convergence, Astrophysics#### Metrics