Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Chebyshev collocation methods for fast orbit determination
Applied Mathematics and Computation
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
Modifications of the method of variation of parameters
Computers & Mathematics with Applications
| Hi-index | 0.98 |
In this paper we analyze briefly the use of two classical perturbation methods vs. the formulation using cartesian coordinates in the numerical integration of satellite orbits. In particular, we compare with the variation-of-parameters (VOP) and Encke's methods. The numerical tests performed with a realistic Earth potential model and using a well-recognized numerical ODE integrator (dop853) permit us to establish the power of these alternative formulations on orbital problems, in spite of the affirmations of other researchers.