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

Biria, Ashley D.; Russell, Ryan P.

doi:10.1007/s40295-019-00179-y

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

2023

Publication Types

Select...

Article5

Other1

Relationship

Self Cite0

Independent6

Authors

Journals

Cited by 6 publications

(1 citation statement)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Another relatively recent contribution is due to Biria and Russell (2018), who introduced the oblate spheroidal equinoctial orbital elements, which are formally defined as the mod-ified EqOE of Walker et al (1985), using spheroidal elements based on Vinti's (1959) theory in place of Keplerian elements. The new equinoctial elements have been used by Biria and Russell (2020) to write the analytical solution of Vinti's problem.…”

Section: Introductionmentioning

confidence: 99%

A generalization of the equinoctial orbital elements

Baù,

Hernando-Ayuso,

Bombardelli

2021

Preprint

View full text Add to dashboard Cite

We introduce six quantities that generalize the equinoctial orbital elements when some or all the perturbing forces that act on the propagated body are derived from a disturbing potential. Three of the elements define a non-osculating ellipse on the orbital plane, other two fix the orientation of the equinoctial reference frame, and the last allows one to determine the true longitude of the body. The Jacobian matrices of the transformations between the new elements and the position and velocity are explicitly given. As a possible application we investigate their use in the propagation of Earth's artificial satellites showing a remarkable improvement compared to the equinoctial orbital elements.

show abstract