A Review and a Quantitative Comparison among the Exact Solution and the Numerical Integration Methods with Fixed Time Step Commonly Used to Solve the Two-Body Problem | ||
| The International Conference on Mathematics and Engineering Physics | ||
| Article 3, Volume 7, International Conference on Mathematics and Engineering Physics (ICMEP-7), May 2014, Pages 1-11 PDF (222.81 K) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/icmep.2014.29653 | ||
| Author | ||
| Tamer Mekky Ahmed Habib | ||
| Researcher at the Egyptian National Authority for Remote Sensing and Space Science, Cairo, Egypt. | ||
| Abstract | ||
| ABSTRACT The motion of a spacecraft around the earth is affected with many forces. The major force affecting this motion is the gravity force resulting from a spherical central body (the earth). This motion is commonly known in the literature as the two-body problem. The main drive for this research is to select the best numerical integration algorithm of the two-body problem on the basis of quantitative measures. The error of each integration algorithm is measured with respect to the exact solution of the two-body problem and the test results were embarrassing. Also, the average execution time is compared for all of these algorithms. | ||
| Keywords | ||
| Two-Body; Numerical Integration Algorithm; Circular Orbit | ||
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