STATE TRANSITION MATRIX FOR RELATIVE MOTION INCLUDING HIGHER-ORDER GRAVITY PERTURBATIONS Conference Paper

abstract

• This paper extends the prediction accuracy of the Gim-Alfriend-J2-based state transition matrix (GA STM) by including higher-order gravity perturbations due to J 2 2 , J4, and J6. In lieu of an analytical mean-to-osculating element transformation, consistent initial osculating elements for a given set of mean elements are obtained by a least squares approach. Numerical results show that the extended GA STM is more accurate than its original version, with a remarkable reduction obtained in the cross-track, over the J2 model. It is observed that the along-track relative motion error does not monotonically decrease as the higher-order effects are included incrementally. These results are validated by the simulation package GMAT.

authors

• Alfriend, Terry
• Vadali, Srinivas

published proceedings

• ASTRODYNAMICS 2013, PTS I-III

author list (cited authors)

• Yan, H., Vadali, S. R., & Alfriend, K. T.

complete list of authors

• Yan, Hui||Vadali, Srinivas R||Alfriend, Kyle T

publication date

• January 2014

published in

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

International Standard Book Number (ISBN) 13

• 978-0-87703-605-0

start page

• 1317

end page

• 1336

volume

• 150