Comment on the paper "On the triangular libration points in photogravitational restricted three-body problem with variable mass" by Zhang, M.J., et al.

Astronomy and Astrophysics – Astrophysics

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Variable Mass, Restricted Three-Body Problem

Scientific paper

In a recent paper, published in Astrophys. Space Sci. (337:107, 2012) (hereafter paper ZZX) and entitled "On the triangular libration points in photogravitational restricted three-body problem with variable mass", the authors study the location and stability of the generalized Lagrange libration points L 4 and L 5. However their study is flawed in two aspects. First they fail to write correctly the equations of motion of the variable mass problem. Second they attribute a variable mass to the third body of the restricted three-body model, a fact that is not compatible with the assumptions used in deriving the mathematical formulation of this model.

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