Research Article
Continuous-Thrust Station-Keeping of Cis-Lunar Orbits Using Optimal Sliding Mode Control with Practical Constraints
Table 1
The characteristics of the selected nominal orbits in the CR3BP.
| Orbit | No. | (nd) | (nd) | (nd) | Period (days) | Stability index |
| DRO | 1 | 1.076 | 0 | -0.471 | 5.464 | 1 | 2 | 1.098 | 0 | -0.460 | 7.285 | 1 | 3 | 1.120 | 0 | -0.462 | 9.107 | 1 | 4 | 1.141 | 0 | -0.471 | 10.928 | 1 | 5 | 1.175 | 0 | -0.494 | 13.660 | 1 |
| Halo | 1 | 1.172 | -0.086 | -0.188 | 14.583 | 349.022 | 2 | 1.155 | -0.137 | -0.214 | 14.050 | 138.048 | 3 | 1.136 | -0.169 | -0.225 | 13.349 | 51.584 | 4 | 1.119 | -0.187 | -0.225 | 12.573 | 20.834 | 5 | 1.105 | -0.197 | -0.219 | 11.771 | 17.326 |
| NRHO | 1 | 1.056 | -0.198 | -0.166 | 8.597 | 1.570 | 2 | 1.046 | -0.195 | -0.149 | 7.956 | 1.693 | 3 | 1.037 | -0.191 | -0.134 | 7.457 | 1.641 | 4 | 1.022 | -0.182 | -0.103 | 6.562 | 1.319 | 5 | 1.014 | -0.176 | -0.086 | 6.130 | 1.090 |
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