| Article ID: | iaor20131923 |
| Volume: | 74 |
| Issue: | 2 |
| Start Page Number: | 325 |
| End Page Number: | 330 |
| Publication Date: | Feb 2013 |
| Journal: | Automation and Remote Control |
| Authors: | Vyatkin A |
| Keywords: | approximation, iterative methods |
The behavior of the explicit Runge‐Kutta methods having the second, fourth and eighth orders of accuracy is analyzed at the singular point in the two‐body problem. Numerical solutions are compared with their analytical counterpart. As the adequacy criterion for an approximate solution, the conservation law of the total mechanical energy is considered.