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This book contains four chapters. The chapter 1 is introductory in nature. It contains history and development of the problem. The available literature is also reviewed from Euler (1760) to present day. In order to make self-sufficient, we have given the definitions of some technical terms. In chapter 2, the existence and stability of the non-collinear libration points in the restricted three-body problem with Poynting Robertson drag effect when both the primaries are point masses have been discussed. In chapter 3, the existence and stability of the non-collinear libration points in the restricted three-body problem with Stokes drag effect when both the primaries are point masses have been investigated. In chapter 4, the linear stability of the triangular libration points L4 and L5 in the restricted three body problem with Stokes drag effect when the smaller primary with mass is an oblate spheroid and the bigger primary with mass is a point mass is investigated.