Including the closed-form J2^2 effect in DSST

  1. Juan F. San-Juan 1
  2. Rosario López 1
  3. Iván Pérez 1
  4. Paul J. Cefola 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 State University of New York
    info

    State University of New York

    Albany, Estados Unidos

    ROR https://ror.org/01q1z8k08

Actes:
SPACEFLIGHT MECHANICS 2021: Proceedings of the 31th AAS/AIAA Space Flight Mechanics Meeting held February 1–3, 2021, Virtual Event
  1. Carolin Frueh (ed. lit.)
  2. Renato Zanetti (ed. lit.)
  3. Jeffrey R. Stuart (ed. lit.)
  4. Angela L. Bowes (ed. lit.)

Editorial: Univelt Inc.

ISSN: 0065-3438,  1081-6003

ISBN: 978-0-87703-680-7,  978-0-87703-679-1

Any de publicació: 2021

Volum: 176

Pàgines: 3061 - 3076

Congrés: 31th AAS/AIAA Space Flight Mechanics Meeting held February (31º. 2021)

Tipus: Aportació congrés

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Resum

A second-order closed-form semi-analytical solution of the main problem of theartificial satellite theory (J2 contribution) consistent with the Draper SemianalyticSatellite Theory (DSST) is presented in Delaunay variables. The shortperiodterms are removed using an extension of the Lie-Deprit method. The averagedequations of motion are given explicitly and transformed into the nonsingularequinoctial elements. Finally, the second-order terms in the equations ofmotion are included in the C/C++ version of the DSST orbit propagator.