On the Chermnykh-Like Problems: II. The Equilibrium Points
  Motivated by Papadakis (2005a, 2005b), we study a Chermnykh-like problem, in which an additional gravitational potential from the belt is included. In addition to the usual five equilibrium points (three collinear and two triangular points), there are some new equilibrium points for this system. We studied the conditions for the existence of these new equilibrium points both analytically and numerically. 
Li-Chin Yeh (1) and Ing-Guey Jiang (2) ((1) National Hsinchu   University of Education, Taiwan, (2) National Tsing-Hua Unive...