Research Article

Multiobjective Mission Planning for Multiple Geosynchronous Spacecraft Refueling

Table 2

Pareto-optimal solutions of cases 1-4.
(a)

CaseOuter-loop optimization variables
(day) (deg) (deg) (deg)

1(1, 7, 3, 10, 9, 2, 4, 8, 6, 5)/(8, 13, 11, 8, 11, 9, 10, 10)3.67119.3959.64
2(10, 3, 1, 7, 8, 2, 4, 5, 6, 9)/(8, 10, 8, 12, 10, 11, 9, 12)(6.88, 2.01)(121.84, 240.95)(199.97, 154.15)
3(3, 10, 9, 8, 2, 4, 1, 7, 5, 6)(4, 4)(14, 9, 13, 9, 11, 12, 11, 11)3.71115.59101.73
4(7, 1, 3, 10, 2, 4, 5, 8, 6, 9)(4, 4)(10, 12, 12, 11, 11, 10, 13, 11)(5.57, 1.54)(105.12, 242.19)(141.06, 179.48)

(b)

CaseInner-loop optimization variableObjective values
(day) (kg)

1(0, 1, 0, 0, 1, 0, 1, 1)802360.8
2(1, 0, 0, 2, 2, 0, 0, 2)802210.6
3(0, 0, 1, 1, 0, 1, 0, 1)452357.4
4(1, 0, 0, 1, 0, 0, 2, 2)452162.8