Prediction of satellites in Earth's gravitational field with axial symmetry using Burdet's regularized theory

✍ Scribed by M. A. Sharaf; M. R. Arafah; M. E. Awad

• Publisher: Springer Netherlands
• Year: 1987
• Tongue: English
• Weight: 733 KB
• Volume: 38
• Category: Article
• ISSN: 1573-0794
• DOI: 10.1007/bf00115934

✦ Synopsis

In this paper, economical and stable recurrence formulae for the Earth's zonal potential and its gradient for Burdet's regularized theory will be established for any number N of the zonal harmonic coefficients. A general recursive computational algorithm based on these formulae is also established for the initial value problem of Burdet oscillator for the prediction of artificial satellites in the Earth's gravitational field with axial symmetry. Applications of the algorithm for the problem of the final state prediction are illustrated by numerical examples of three test orbits each for two geopotential models corresponding to N = 2 and N = 36.

A final state of any desired accuracy is obtained for each case study, a result which shows the flexibility of the algorithm.