Research Article

Continuous-Thrust Station-Keeping of Cis-Lunar Orbits Using Optimal Sliding Mode Control with Practical Constraints

Table 6

The performance indexes of the station-keeping simulations for all nominal orbits.

OrbitPeriod (days)Stability indexSuccess rateAnnual cost (m/s)Mean deviation (km)Max deviation (km)

DRO (1)5.4641100%5.24011.147726.2335
DRO (2)7.2851100%2.25800.981327.6898
DRO (3)9.1071100%1.31191.036725.7871
DRO (4)10.9281100%0.99511.264829.8639
DRO (5)13.6601100%0.78441.597127.2347
Halo (1)14.583349.022100%1.52681.259825.4122
Halo (2)14.050138.048100%1.58931.330724.5004
Halo (3)13.34951.584100%1.77221.409125.5064
Halo (4)12.57320.834100%2.10211.486327.3963
Halo (5)11.77117.326100%2.11451.497329.2977
NRHO (1)8.5971.57099.5%7.60402.202530.9806
NRHO (2)7.9561.69399.5%11.14142.523230.9785
NRHO (3)7.4571.64199%15.18372.597337.8595
NRHO (4)6.5621.31999%26.16842.277932.8178
NRHO (5)6.1301.09098.5%57.83844.2025117.5577