Exact solution of Vinti orbital motion

The elliptic integrals of the Vinti analytic satellite orbital motion theory are converted to a form suitable for computer evaluation. This advance will facilitate closed-form Vinti algorithms that are more compact, more accurate (i.e., exact to machine accuracy), and valid over a wider range of orb...

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Bibliographic Details
Published inCelestial mechanics and dynamical astronomy Vol. 136; no. 5; p. 45
Main Author Shepperd, Stanley W.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.10.2024
Springer Nature B.V
Subjects
Accuracy
Aerospace Technology and Astronautics
Algorithms
Astrophysics and Astroparticles
Classical Mechanics
Dynamical Systems and Ergodic Theory
Elliptic functions
Exact solutions
Geophysics/Geodesy
Integrals
Mechanics
Orbits
Original Article
Physics
Physics and Astronomy
Series expansion
Vinti orbital motion
Oblate planet
Numerical analysis
Elliptic integrals
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Summary:The elliptic integrals of the Vinti analytic satellite orbital motion theory are converted to a form suitable for computer evaluation. This advance will facilitate closed-form Vinti algorithms that are more compact, more accurate (i.e., exact to machine accuracy), and valid over a wider range of orbits than series expansion techniques.
ISSN:0923-2958
1572-9478
DOI:10.1007/s10569-024-10208-0