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Table 11 Sample points for response surface

From: Hierarchical Optimization of Landing Performance for Lander with Adaptive Landing Gear

Number

Landing conditioning factor

Buffer parameter

Soft landing indicator

vx (m/s)

φ (°)

μ

αe (°)

k (N/m)

cmax (Ns/m)

r

U (mm)

L (g)

S (mm)

T (mm)

1

3.55814

25.11628

0.625581

9.069767

38372.09

35581.4

0.916279

443.7838

7.475721

72.63525

1525.675

2

3.093023

7.325581

0.616279

6.27907

43023.26

57906.98

0.895349

451.6653

7.177718

39.61241

1699.808

3

3.186047

43.95349

0.45814

4.418605

55116.28

64418.6

0.225581

431.4194

10.88976

62.80241

1750.597

4

3.651163

37.67442

0.318605

1.860465

36511.63

60697.67

0.560465

436.2251

12.84088

36.68639

1867.666

5

3.860465

23.02326

0.430233

7.674419

49534.88

66279.07

0.12093

397.3568

9.527114

134.2162

1622.154

6

3.511628

18.83721

0.644186

2.093023

41162.79

68139.53

0.372093

435.8223

11.07385

48.61199

1860.488

7

3.465116

40.81395

0.672093

6.511628

59767.44

56976.74

0.874419

458.2829

6.729019

35.81923

1575.491

8

3.069767

6.27907

0.532558

5.813953

50465.12

52325.58

0.1

406.1348

6.315581

138.9933

1741.022

9

3.767442

20.93023

0.569767

1.627907

34651.16

50465.12

0.97907

439.0863

12.59231

30.0238

1864.758

10

3.023256

21.97674

0.439535

0.232558

37441.86

47674.42

0.434884

446.5893

12.19919

30.33212

1937.609

11

3.744186

45

0.411628

4.883721

45813.95

30930.23

0.665116

428.6257

10.1308

58.0304

1720.903

12

3.27907

23.02326

0.402326

3.488372

60697.67

30000

0.204651

406.2816

8.617354

108.5894

1802.934

13

3.953488

11.51163

0.662791

7.906977

50465.12

59767.44

0.686047

438.8208

8.01536

69.29281

1557.978

14

3.906977

19.88372

0.57907

8.604651

43953.49

31860.47

0.246512

388.0991

7.463903

167.2496

1570.922

15

4.000000

33.48837

0.486047

2.790698

63488.37

61627.91

0.623256

433.1043

13.22439

39.97564

1820.304

16

3.395349

15.69767

0.327907

5.581395

33720.93

39302.33

0.853488

438.4899

9.852899

42.87013

1722.803

17

3.232558

34.53488

0.7

4.651163

42093.02

37441.86

0.309302

420.6606

8.718477

90.62936

1734.21

18

3.348837

38.72093

0.3

4.186047

67209.3

49534.88

0.727907

442.5974

10.22104

33.63026

1760.997

19

3.139535

41.86047

0.54186

5.116279

30000

56046.51

0.769767

450.9664

8.521337

33.12291

1710.982

20

3.627907

39.76744

0.523256

8.139535

68139.53

43953.49

0.288372

424.03

9.826323

85.53164

1571.029

21

3.116279

17.7907

0.346512

6.744186

39302.33

70000

0.497674

446.3383

9.665368

38.22251

1678.262

22

3.511628

2.093023

0.504651

9.534884

30930.23

53255.81

0.455814

434.7544

8.284954

75.42411

1623.473

23

3.604651

8.372093

0.309302

8.837209

56976.74

42093.02

0.393023

424.9629

9.848023

70.92657

1623.236

24

3.000000

31.39535

0.448837

9.302326

52325.58

41162.79

0.602326

446.6824

7.551606

56.10278

1527.46

25

3.813953

14.65116

0.355814

0.465116

56046.51

36511.63

0.706977

431.8234

14.37905

37.44909

1931.803

26

3.697674

16.74419

0.467442

6.976744

66279.07

40232.56

1

439.2425

9.958682

44.41087

1660.581

27

3.209302

26.16279

0.634884

1.162791

69069.77

50465.12

0.413953

441.5735

11.85765

36.75207

1903.21

28

3.581395

0

0.597674

0.697674

61627.91

55116.28

0.811628

444.0431

14.35065

22.20284

1920.56

29

3.325581

10.46512

0.681395

8.372093

64418.6

38372.09

0.539535

433.6575

6.023513

97.01569

1568.123

30

3.418605

31.39535

0.393023

6.976744

31860.47

43023.26

0.162791

397.4444

8.962404

133.354

1635.542

31

3.976744

9.418605

0.42093

3.023256

32790.7

48604.65

0.330233

415.4679

11.31945

82.85015

1841.057

32

3.488372

12.55814

0.337209

0.930233

57906.98

62558.14

0.267442

432.064

12.23215

49.46587

1918.122

33

3.046512

3.139535

0.374419

3.72093

62558.14

45813.95

0.727907

444.9144

8.697139

37.0097

1824.333

34

3.674419

35.5814

0.383721

9.767442

46744.19

57906.98

0.790698

449.4951

10.30864

38.29463

1501.226

35

3.302326

29.30233

0.653488

10

44883.72

63488.37

0.351163

446.2622

6.831806

89.31796

1478.876

36

3.44186

1.046512

0.57907

3.255814

40232.56

32790.7

0.518605

426.7935

8.704603

75.62599

1825.387

37

3.837209

5.232558

0.560465

3.953488

65348.84

46744.19

0.183721

407.39

9.410543

111.8682

1795.231

38

3.790698

4.186047

0.365116

5.116279

48604.65

65348.84

0.832558

441.3873

11.94245

31.54661

1772.535

39

3.930233

42.90698

0.606977

6.046512

35581.4

54186.05

0.476744

430.4629

10.50151

62.02561

1659.939

40

3.883721

27.2093

0.690698

2.55814

57906.98

34651.16

0.644186

426.3876

11.67777

57.27592

1810.075

41

3.372093

13.60465

0.495349

7.44186

70000

67209.3

0.560465

444.9501

9.049236

44.0253

1656.702

42

3.162791

30.34884

0.551163

2.325581

53255.81

33720.93

0.95814

441.7665

9.359383

38.15687

1838.727

43

3.697674

36.62791

0.504651

0

47674.42

44883.72

0.14186

418.4696

14.45879

78.39083

1885.561

44

3.255814

28.25581

0.476744

1.395349

54186.05

69069.77

0.937209

449.1199

11.39628

19.53422

1886.16