Research Article
Robe's Restricted Three-Body Problem with Variable Masses and Perturbing Forces
Table 1
Numerical computation of the critical mass values
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| | Complex quantity | Complex quantity | Complex quantity | Complex quantity | | Infinity | Infinity | Infinity | Infinity | 0.889 | 0.782608 | 0.531688 | 0.499806 | 0.248886 | 0.9 | 0.674168 | 0.65147 | 0.648508 | 0.62581 | 0.95 | 0.82264 | 0.815112 | 0.814474 | 0.806946 | 1 | 0.893404 | 0.88896 | 0.888818 | 0.884373 | 1.3 | 0.999643 | 0.999482 | 0.999519 | 0.999358 | 1.33 | 1.00001 | 0.999993 | 0.999997 | 0.999982 | 1.34 | 0.999956 | 0.999985 | 0.999978 | 1.00001 | 1.35 | 0.999823 | 0.999896 | 0.999877 | 0.999949 | 2 | 0.924097 | 0.925267 | 0.924634 | 0.925804 | 3 | 0.79306 | 0.7944 | 0.793422 | 0.794762 | 4 | 0.698297 | 0.699581 | 0.69853 | 0.699815 | 5 | 0.628898 | 0.630101 | 0.629056 | 0.630259 | 6 | 0.57585 | 0.576976 | 0.575962 | 0.577088 | 7 | 0.533791 | 0.53485 | 0.533874 | 0.534932 | 8 | 0.499469 | 0.500469 | 0.499531 | 0.500531 | 9 | 0.47081 | 0.471759 | 0.470859 | 0.471807 | 10 | 0.446435 | 0.447339 | 0.446473 | 0.447377 | 50 | 0.195566 | 0.195969 | 0.195565 | 0.195968 | 1000 | 0.0425464 | 0.0426324 | 0.0425464 | 0.0426324 | 1000000000 | 0.000042122 | 0.0000422063 | 0.000042122 | 0.0000422063 | | | | | | | | | | |
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