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Regular Polygon Central Configuration of the Restricted 1 + N -Body Problem.
- Source :
-
Universe (2218-1997) . Jun2023, Vol. 9 Issue 6, p254. 11p. - Publication Year :
- 2023
-
Abstract
- We consider the central configurations of the 1 + N -body problem, where N bodies are infinitesimal and the remaining one body is dominant. For regular polygon central configurations, we prove that the masses of all the infinitesimal bodies are equal when N is odd and the masses of the alternate infinitesimal bodies must be equal when N is even. Moreover, in the case of N being even, we present the relationship of the mass parameters between two consecutive infinitesimal bodies. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POLYGONS
*CELESTIAL mechanics
Subjects
Details
- Language :
- English
- ISSN :
- 22181997
- Volume :
- 9
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Universe (2218-1997)
- Publication Type :
- Academic Journal
- Accession number :
- 164676532
- Full Text :
- https://doi.org/10.3390/universe9060254