Central configurations and a theorem of palmore
| Autor: | Edward E. Slaminka, Kevin D. P. Woerner |
|---|---|
| Rok vydání: | 1990 |
| Předmět: |
Pure mathematics
Thermodynamic equilibrium Applied Mathematics n-body problem Equations of motion Astronomy and Astrophysics Geometry Celestial mechanics Many-body problem Gravitational constant Computational Mathematics Space and Planetary Science Simple (abstract algebra) Modeling and Simulation Orbit (control theory) Mathematical Physics Mathematics |
| Zdroj: | CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY. 48:347-355 |
| ISSN: | 1572-9478 0923-2958 |
| Popis: | The concept of central configuration is important in the study of total collisions or the relative equilibrium state of a rotating system in the N-body problem. However, relatively few such configurations are known. Aided by a new global optimizer, we have been able to construct new families of coplanar central configurations having particles of equal mass, and extend these constructions to some configurations with differing masses and the non-coplanar case. Meyer and Schmidt had shown that a theorem of Palmore concerning coplanar central configurations was incorrect for N equal masses where 6 ⩽ N ⩽ 20 but presented a simple analytic argument only for N = 6. Using straightforward analytic arguments and inequalities we also disprove this theorem for 2N equal masses with N ⩾ 3. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink