58 citations · 161 across the 12 of their papers we have counts for
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math-ph2009★ 17 cited
Relative equilibria of four identical satellites
Alain Albouy, Yanning Fu
We consider the Newtonian 5-body problem in the plane, where 4 bodies have the same mass m, which is small compared to the mass M of the remaining body. We consider the (normalized…
math-ph2007★ 58 cited
Symmetry of Planar Four-Body Convex Central Configurations
Alain Albouy, Yanning Fu, Shanzhong Sun
We study the relationship between the masses and the geometric properties of central configurations. We prove that in the planar four-body problem, a convex central configuration i…
math-ph2006★ 23 cited
Euler configurations and quasi-polynomial systems
Alain Albouy, Yanning Fu
In the Newtonian 3-body problem, for any choice of the three masses, there are exactly three Euler configurations (also known as the three Euler points). In Helmholtz' problem of 3…