Habib, T. (2014). 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, 7(International Conference on Mathematics and Engineering Physics (ICMEP-7)), 1-11. doi: 10.21608/icmep.2014.29653

Tamer Mekky Ahmed Habib. "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, 7, International Conference on Mathematics and Engineering Physics (ICMEP-7), 2014, 1-11. doi: 10.21608/icmep.2014.29653

Habib, T. (2014). '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, 7(International Conference on Mathematics and Engineering Physics (ICMEP-7)), pp. 1-11. doi: 10.21608/icmep.2014.29653

Habib, T. 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, 2014; 7(International Conference on Mathematics and Engineering Physics (ICMEP-7)): 1-11. doi: 10.21608/icmep.2014.29653

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

^{}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.