Exact solution of Vinti orbital motion

• Published in: Celestial mechanics and dynamical astronomy Vol. 136; no. 5; p. 45
• Main Author: Shepperd, Stanley W.
• Format: Journal Article
• Language: English
• 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

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...