تقرير
A New Method to Integrate Newtonian N-Body Dynamics
| العنوان: | A New Method to Integrate Newtonian N-Body Dynamics |
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| المؤلفون: | Parisi, V., Capuzzo-Dolcetta, R. |
| سنة النشر: | 2019 |
| المجموعة: | Astrophysics Physics (Other) |
| مصطلحات موضوعية: | Physics - Computational Physics, Astrophysics - Instrumentation and Methods for Astrophysics |
| الوصف: | In this note we approach the classical, Newtonian, gravitational $N$-body problem by mean of a new, original numerical integration method. After a short summary of the fundamental characteristics of the problem, including a sketch of some of its mathematical and numerical issues, we present the new algorithm, which is applied to a set of sample cases of initial conditions in the `intermediate' $N$ regime ($N=100$). This choice of $N$ is not due to algorithm limitation but just for computational convenience, in what this preliminary work aims mainly to the presentation of the new method and so we wanted just to provide an acceptable although statistical significant comparison with other integration schemes. The proposed algorithm seems to be fast and precise at the same time and so promising for further, more realistic, tests and scientific applications. Comment: 9 pages, 4 figures. Submitted to Journal of Physics A: Mathematical and Theoretical |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1751-8121/ab4929 |
| URL الوصول: | http://arxiv.org/abs/1901.02856 |
| رقم الأكسشن: | edsarx.1901.02856 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1751-8121/ab4929 |
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