Orbital decay in the classroom
Physics Education
2023-03-06 v1 Classical Physics
Abstract
The objective of this paper is to provide a pedagogical framework for the phenomenon of orbital decay of satellites in low Earth orbit. The dynamics of orbital decay are derived considering atmospheric drag as the only dissipative mechanism and using an educational approach suitable for undergraduate calculus-based physics and engineering courses. The resulting non-linear first order differential equation for the altitude as a function of time is solved numerically for the isothermal-barotropic atmospheric model with a {fixed} scale height. The model is validated using the uncontrolled reentry data of the Chinese space station Tiangong-1.
Cite
@article{arxiv.2303.02099,
title = {Orbital decay in the classroom},
author = {Carlos Chaparro and Andrea Ferroglia and Miguel C. N. Fiolhais and Luis Gonzalez-Urbina and Tomasz Milewski},
journal= {arXiv preprint arXiv:2303.02099},
year = {2023}
}
Comments
6 pages, 3 figures