Research Article
The Restricted 2+2 Body Problem: Parametric Variation of the Equilibrium States of the Minor Bodies and Their Attracting Regions
Table 1
Sun-Jupiter-binary asteroids (case A).
(a) Collinear equilibrium solutions . |
| | | | | | Jacobian constant (10−15) | Stability |
| | | 0 | | 0 | 3.037482 | U | | | 0 | | 0 | 3.037482 | U | | | 0 | | 0 | 3.038764 | U | | | 0 | | 0 | 3.038764 | U | | | 0 | | 0 | 3.000966 | U | | | 0 | | 0 | 3.000966 | U |
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(b) Inline (, ) and perpendicular (, ) equilibrium solutions, |
| | | | | | Jacobian constant (10−15) | Stability |
| | | | | | 2.999844 | U | | | | | | 2.999844 | U | | | | | | 2.999844 | U | | | | | | 2.999844 | U |
| | | | | | Jacobian constant (10−15) | Stability |
| | | | | | 2.999844 | S | | | | | | 2.999844 | S | | | | | | 2.999844 | S | | | | | | 2.999844 | S |
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