Analytical Solution to the Vinti Problem in Oblate Spheroidal Equinoctial Orbital Elements

Author:

Biria Ashley D.ORCID,Russell Ryan P.

Publisher

Springer Science and Business Media LLC

Subject

Space and Planetary Science,Aerospace Engineering

Reference35 articles.

1. Biria, A.D.: Revisiting Vinti theory: generalized equinoctial elements and applications to spacecraft relative motion. PhD thesis, Supervisor: Dr. Ryan P. Russell. The University of Texas at Austin, Austin (2017)

2. Biria, A.D., Russell, R.P.: A satellite relative motion model including J2 and J3 via Vinti’s intermediary. In: AAS/AIAA Space Flight Mechanics Meeting, Univelt, Inc., San Diego, CA, Advances in the Astronautical Sciences, vol 158, pp 3475–3494, Paper AAS 16-537 (2016)

3. Biria, A.D., Russell, R.P.: Equinoctial elements for Vinti theory: generalizations to an oblate spheroidal geometry. In: International Workshop on Satellite Constellations and Formation Flying, Boulder, Paper IWSCFF 17-75 (2017)

4. Biria, A.D., Russell, R.P.: Equinoctial elements for Vinti theory: generalizations to an oblate spheroidal geometry. Acta Astronaut. 153, 274–288 (2018). https://doi.org/10.1016/j.actaastro.2017.11.013

5. Biria, A.D., Russell, R.P.: A satellite relative motion model including J2 and J3 via Vinti’s intermediary. Celest. Mech. Dyn. Astron. 130(3) (2018b). https://doi.org/10.1007/s10569-017-9806-4

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1. The Oblate Lambert Problem: Geometric Formulation and Solution of an Unperturbed, Generalized Lambert Problem Governed by Vinti’s Potential;The Journal of the Astronautical Sciences;2023-09-22

2. Connecting the Equinoctial Elements and Rodrigues Parameters: A New Set of Elements;Journal of Guidance, Control, and Dynamics;2023-09

3. Revisiting Universal Variables for Robust, Analytical Orbit Propagation Under the Vinti Potential;The Journal of the Astronautical Sciences;2023-08-27

4. A generalization of the equinoctial orbital elements;Celestial Mechanics and Dynamical Astronomy;2021-11-25

5. The Lagrange coefficients of Vinti theory;Celestial Mechanics and Dynamical Astronomy;2020-05

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