Variation of parameters using complex exponentials to solve the perturbed two-body problem Conference Paper

abstract

• A new formulation of the variation of parameters method for the perturbed, Keplerian two-body problem is presented. Here, this unique formulation is based on a Complex Exponential solution previously derived by the authors 1. The Complex Exponential formulation provides an exact analytical solution to the unperturbed, Keplerian two-body problem and eliminates the singularities associated with the elliptic and hyperbolic trajectories that arise at zero eccentricity and zero inclination. We present the variation of parameters formulation and highlight the benefits of this approach compared with the classical developments.

authors

• Junkins, John

published proceedings

• SPACEFLIGHT MECHANICS 2008, VOL 130, PTS 1 AND 2

author list (cited authors)

• Henderson, T. A., Radice, G., & Junkins, J. L.

complete list of authors

• Henderson, Troy A||Radice, Gianmarco||Junkins, John L

publication date

• December 2008

published in

• Spaceflight Mechanics 2005, Vol 120, Pts 1 and 2  Journal

International Standard Book Number (ISBN) 13

• 978-0-87703-544-2

start page

• 1605

end page

• +

volume

• 130