Table 1: Fixed points of period one with and stability determination for different values of cm.

Center of mass cm Fixed point

0.1 0.60295098 1.21301
0.2 0.657708295 1.2041
0.3 0.712062035 1.1736
0.4 0.765516458 1.1192
0.5 0.81745663 1.0380
0.6 0.867062256 0.9262
0.7 0.913144492 0.7785
0.8 0.95379542 0.5867
0.9 0.98548942 0.3369
1.0 1.0 0.0