On Robe's Circular Restricted Problem of Three Variable Mass Bodies

Table 2

The out-of-plane points for 𝜐=0.01 and 𝐷=0.

𝜅	𝜉	±𝜁	Comments
0.01	0.9801	Complex	Real out of plane point do not exist
0.5	0.9801	—	—
0.999	0.00099	—	—
0.999001	0.00098901	—	—
1	0	Infinity	Infinite remote solution
1.001	−0.00099	1.9138	Real out-of-plane points exist
1.002	−0.00198	1.39986	—
1.003	−0.00297	1.12416	—
1.004	−0.00396	0.933202	—
1.005	−0.00495	0.782774	—
1.006	−0.00594	0.653819	—
1.007	−0.00693	0.535323	—
1.008	−0.00792	0.418177	—
1.009	−0.00891	0.289043	—
1.0091	−0.009009	0.274411	—
1.01	−0.0099	0.0839973	—
1.01<𝜅<∞	Real and negative	Imaginary	Real out-of-plane point do not exist