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

Table 1

The out-of-plane points for 𝜐=0.01 and 𝐷=−0.001.

𝜅	𝜉	±𝜁	Comments
0.01	0.98009	0.0232859+0.0403325𝑖	Real out of plane point do not exist
0.5	0.4945	Complex	—
0.999	Real and negative	Complex	—
0.999001	—	215.369	Real out-of-plane points exist
1	−0.001	1.91758	—
1.001	−0.011	1.3988	—
1.002	−0.002982	1.12303	—
1.003	−0.003973	0.932023	Real out-of-plane point exist
1.004	−0.004964	0.781521	—
1.005	−0.005955	0.652458	—
1.006	−0.006946	0.533794	—
1.007	−0.007937	0.416357	—
1.008	−0.008928	0.28657	—
1.009	−0.009919	0.0755768	—
1.009<𝜅<∞	Real and negative	Imaginary	Real out-of-plane point do not exist