A state transition matrix using complex exponentials for the two-body problem Conference Paper

abstract

• Previously, a complex exponential solution was derived which unified the elliptic and hyperbolic trajectories into a single set of equations1 and provided an exact analytical solution to the unperturbed, Keplerian two-body problem. The formulation eliminates singularities associated with the elliptic and hyperbolic trajectories that arise from these orbits. Using this Complex Exponential solution formulation, the State Transition Matrix has been derived and is presented. We present the analytical state transition matrix 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

• 1853

end page

• +

volume

• 130