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Optimizing the trajectory of a spacecraft using an ideally regulated engine in the vicinity of a circular orbit

Table 1 - Results of calculating the magnitudes of velocity impulses and fuel consumption

t

∆V2, m/s

m2, kg

∆V3, m/s

m3, kg

0

10.488

4.848

10.488

4.848

1.064

58.42

26.706

57.292

26.197

2.128

123.535

55.633

121.697

54.828

3.192

125.168

56.347

123.988

55.831

4.256

64.238

29.326

64.015

29.226

5.32

56.033

25.629

54.727

25.039

6.384

66.243

30.228

65.314

29.81

7.448

32.93

15.142

32.735

15.053

8.512

29.706

13.67

29.086

13.386

9.576

26.879

12.377

26.827

12.353

10.64

30.929

14.229

29.957

13.785

11.704

55.771

25.511

54.391

24.887

12.768

49.57

22.706

48.889

22.398

13.832

23.014

10.607

23.057

10.626

14.896

5.891

2.726

5.613

2.597

15.963

0.0027

0.00125

0.0024

0.00111