IN
DEGREE PROJECT DESIGN AND PRODUCT REALISATION, SECOND CYCLE, 30 CREDITS
,
STOCKHOLM SWEDEN 2020
Optimization of Space Sun
Shade Constellation
JOHANNA WINDH
2
2
4
2˝
1
2
2
21
2
f r
costlaunch = price ˆ Nsˆ
pricelaunch
ω 0 Ω 360˝ X Ω = 0˝ Ω = 180˝ i 200 300 400 500 600 700 800 900 1000 Altitude [km] 96.5 97 97.5 98 98.5 99 99.5
Orbital inclination [deg]
f =´ n ÿ i=1 Ai,shading Ai,shading n i ceq= řn
min f (x) such that # c(x) ď 0 ceq(x) = 0 Axď b Aeq = beq lbď x ď ub f (x) ub lb lb =´π/2 ub = π/2 ą π/2 ă ´π/2 ´π/2 π/2 Aeq A beq b ceq c
min f (x) such that #
ceq(x) = 0 lbď x ď ub ceq
71˝ 71˝
71˝
1 ˆ 1
2009
ą 600 ă 0
550 600 650 700 750 800 850 900 950 1000 Altitude [km] -5 -4 -3 -2 -1 0 1
Aerodynamic drag - Solar pressure [N]
10-3
600 1000
650 600 98.7 600 650 650 650 700 600 700 800 900 1000 Altitude, [km] 5.9 6 6.1 6.2 6.3 6.4 6.5 6.6
Number of space sun shades
106
1.7
6´6.5 1x1
-100 -50 0 50 100 Inclination [deg] 102 103 104 105 Altitude [km] 2 4 6 8 10 12 14 10-5 0 105 0.5 100 10-4 Density [1/km 3] 104 1 50
Altitude [km] Inclination [deg]
1.5 0 103 -50 102 -100 -100 -50 0 50 100 Inclination [deg] 102 103 104 105 Altitude [km] 20 30 40 50 60 70 80 90 20 105 40 100 60 Density [1/km 3] 104 50 80
Altitude [km] Inclination [deg]
0 100
103
-50
71˝
200
4 000
1.7
600 700 800 900 1000 Altitude [km] 4.7 4.8 4.9 5 5.1 5.2 5.3
Launch Cost [USD]
1012
600
1000
12000 9000 600 700 800 900 1000 Altitude [km] 5.3 5.4 5.5 5.6 5.7 5.8 5.9
Manufacturing cost [USD]
1010
100
4.9 700
10 1.7 600 700 800 900 1000 Altitude [km] 4.8 4.9 5 5.1 5.2 5.3
Total cost [USD]
600 700 800 900 1000 Altitude [km] 8 8.5 9 9.5 10 10.5
Total cost [USD]
1013
600
600 700
600
650
γ
γ
500 1000
600
1 2
10
90
700 1000 98.25˝ 99.5˝
TRITA TRITA-SCI-GRU 2020:242
