ANALYTIC CONTINUATION POWER SERIES SOLUTION FOR THE TWO-BODY PROBLEM WITH ATMOSPHERIC DRAG Conference Paper uri icon

abstract

  • In this paper the two-body problem with atmospheric drag is considered. A cannonball drag model is utilized and the problem is solved with the analytic continuation power series technique. Recent developments of the method have made it possible to sum the series to arbitrary order enabling machine precision power series solutions for the two-body problem and the zonal gravitational perturbations. Based on these recent developments a simple drag model is considered and the corresponding recursion formulas are derived and presented. Additionally, the method will be evaluated in terms of computational cost and accuracy including a sensitivity analysis to the method parameters (number of terms in the series and step size control).

author list (cited authors)

  • Hernandez, K., Elgohary, T. A., Turner, J. D., & Junkins, J. L.

publication date

  • January 2016