We characterize the planar Central configurations of the 4-body problem with masses m1=m2≠m3=m4 which have an axis of symmetry. It is known that this problem has exactly two classes of convex Central configurations, one with the shape of a rhombus and the other with the shape of an isosceles trapezoid. We show that this 4-body problem also has exactly two classes of concave Central configurations with the shape of a kite, this proof is assisted by computer. © 2012 Elsevier Inc. All rights reserved.
|Journal||Applied Mathematics and Computation|
|Publication status||Published - 29 Jan 2013|
- 4-Body problem
- Central configuration
- Convex and concave central configurations
Alvarez-Ramírez, M., & Llibre, J. (2013). The symmetric central configurations of the 4-body problem with masses m<inf>1</inf> = m<inf>2</inf> ≠ m<inf>3</inf> = m<inf>4</inf> Applied Mathematics and Computation, 219(11), 5996-6001. https://doi.org/10.1016/j.amc.2012.12.036