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A Second-Order Closed-Form J2 Model for the Draper Semi-Analytical Satellite Theory
Ist Teil von
The Journal of the astronautical sciences, 2022, Vol.69 (5), p.1292-1318
Ort / Verlag
New York: Springer US
Erscheinungsjahr
2022
Quelle
SpringerNature Journals
Beschreibungen/Notizen
A second-order closed-form semi-analytical solution of the main problem of the artificial satellite theory (
J
2
contribution) consistent with the Draper Semi-analytic Satellite Theory (DSST) is presented. This paper aims to improve the computational speed of the numerical-based approach, which is only available in the GTDS-DSST version. The short-period terms are removed by means of an extension of the Lie-Deprit method using Delaunay variables. The averaged equations of motion are given explicitly and transformed to the non-singular equinoctial elements. Finally, the second-order terms in the equations of motion are included in the C/C++ version of the DSST orbit propagator.