Collinear central configurations in the n-body problem with general homogeneous potential

2009 ◽  
Vol 50 (10) ◽  
pp. 102901 ◽  
Author(s):  
Mervin Woodlin ◽  
Zhifu Xie
Keyword(s):  
Body Problem ◽  
Central Configurations ◽  
Homogeneous Potential ◽  
N Body Problem

On the Sitnikov‐like N‐Body problem with quasi‐homogeneous potential

2021 ◽  
Author(s):  
Md Sanam Suraj ◽  
Rajiv Aggarwal ◽  
Vipin Kumar Aggarwal ◽  
Md Chand Asique ◽  
Amit Mittal
Keyword(s):  
Body Problem ◽  
Homogeneous Potential ◽  
N Body Problem

scholarly journals Central configurations in planar n-body problem with equal masses for $$n=5,6,7$$

2019 ◽  
Vol 131 (10) ◽  
Author(s):  
Małgorzata Moczurad ◽  
Piotr Zgliczyński
Keyword(s):  
Body Problem ◽  
Central Configurations ◽  
Central Configuration ◽  
Newtonian Potential ◽  
Computer Assisted ◽  
Computer Assisted Proof ◽  
N Body Problem ◽  
Reflective Symmetry

Abstract We give a computer-assisted proof of the full listing of central configuration for n-body problem for Newtonian potential on the plane for $$n=5,6,7$$ n = 5 , 6 , 7 with equal masses. We show all these central configurations have a reflective symmetry with respect to some line. For $$n=8,9,10$$ n = 8 , 9 , 10 , we establish the existence of central configurations without any reflectional symmetry.

Sign in / Sign up

Export Citation Format

Share Document