Family $c$ of periodic solutions of the restricted problem

We consider the plane circular restricted three-body problem for $\mu=0$. In § 1, in the plane of symmetry, we introduce a new local coordinate system near the primary $P_2$. In § 2, we describe the generating family $c$, which is born at the collinear stationary point $L_1$. In § 3, using the new local coordinate system, we give a detailed description of those parts of the generating family $i$ which are near the primary $P_2$. In addition, we give a comparison there of the characteristics of the generating families $c$ and $i$.