Application of the logarithmic Hamiltonian algorithm to the circular restricted three-body problem with some post-Newtonian terms
| Autor: | Xiang-Ning Su, Xin Wu, Fuyao Liu |
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| Rok vydání: | 2015 |
| Předmět: |
Lyapunov function
Physics Logarithm 010308 nuclear & particles physics Astronomy and Astrophysics Orbital eccentricity Lyapunov exponent Three-body problem 01 natural sciences Celestial mechanics symbols.namesake Space and Planetary Science 0103 physical sciences symbols Astrophysics::Earth and Planetary Astrophysics Symplectic integrator Hamiltonian (quantum mechanics) 010303 astronomy & astrophysics Algorithm |
| Zdroj: | Astrophysics and Space Science. 361 |
| ISSN: | 1572-946X 0004-640X |
| DOI: | 10.1007/s10509-015-2614-y |
| Popis: | An implementation of a fourth-order symplectic algorithm to the logarithmic Hamiltonian of the Newtonian circular restricted three-body problem in an inertial frame is detailed. The logarithmic Hamiltonian algorithm produces highly accurate results, comparable to the non-logarithmic one. Its numerical performance is independent of an orbital eccentricity. However, it is not when some post-Newtonian terms are included in this problem. Although the numerical accuracy becomes somewhat poorer as the orbital eccentricity gets larger, it is still much higher than that of the non-logarithmic Hamiltonian algorithm. As a result, the present code can drastically eliminate the overestimation of Lyapunov exponents and the spurious rapid growth of fast Lyapunov indicators for high-eccentricity orbits in the Newtonian or post-Newtonian circular restricted three-body problem. |
| Databáze: | OpenAIRE |
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