ANALYTIC POWER SERIES SOLUTIONS FOR TWO-BODY AND J(2)-J(6) TRAJECTORIES AND STATE TRANSITION MODELS Conference Paper

abstract

• Recent work has shown that two-body motion can be analytically modeled using analytic continuation models, which utilize kinematic transformation scalar variables that can be differentiated to an arbitrary order using the well-known Leibniz product rule. This method allows for large integration step sizes while still maintaining high accuracy. With these arbitrary order time derivatives available, an analytical Taylor series based solution may be applied to propagate the position and velocity vectors for the nonlinear two-body problem. This foundational method has been extended to demonstrate a highly effective variable step-size control for the analytic continuation Taylor series model. The current work builds on these earlier results by extending the analytic power series approach to trajectory calculations for two-body and J2-J6 gravity perturbation terms.

authors

• Junkins, John

published proceedings

• ASTRODYNAMICS 2015

author list (cited authors)

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

complete list of authors

• Hernandez, Kevin||Read, Julie L||Elgohary, Tarek A||Turner, James D||Junkins, John L

publication date

• January 2016

published in

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

International Standard Book Number (ISBN) 13

• 978-0-87703-629-6

start page

• 937

end page

• 953

volume

• 156