Phase-space structure of the Buckingham’s two-body problem
| Autor: | E. Popescu, D. Pricopi |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Angular momentum 010304 chemical physics Phase portrait Equations of motion Motion (geometry) Astronomy and Astrophysics Phase plane Two-body problem 01 natural sciences Classical mechanics Space and Planetary Science Phase space 0103 physical sciences 010303 astronomy & astrophysics Buckingham potential |
| Zdroj: | Astrophysics and Space Science. 361 |
| ISSN: | 1572-946X 0004-640X |
| DOI: | 10.1007/s10509-016-2774-4 |
| Popis: | In this paper, we study the global flow for the two-body problem associated to the Buckingham potential. For this, using McGehee-type transformations, we write the regularized equations of motion. Then, reducing the 4-dimensional phase space to a 2-dimension one, the global flow in the phase plane is described for all possible values of the parameters of the potential and those of the energy and angular momentum constants. Every phase trajectory is interpreted in terms of physical motion, our problem being depicted both geometrically and physically. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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