Bl

Cl

El

ρ 1 j ( t 0 )

φ 1 j ( t 0 )

θ 1 j ( t 0 )

ρ ˚ 1 j ( t 0 + Δ t )

φ ˚ 1 j ( t 0 + Δ t )

θ ˚ 1 j ( t 0 + Δ t )

1

1

0

0.3570

0.7847

1.0922

0.3116

0

0

0

2

1

0

0.6877

0.8234

2.0051

0.6003

0

0

0

3

1

0

1.0183

0.8639

2.8297

0.8890

0

0

0

4

1

0

1.3490

0.9065

3.5725

1.1777

0

0

0

5

1

0

1.6797

0.9512

4.2393

1.4664

0

0

0

6

1

0

2.0104

0.9981

4.8355

1.7551

0

0

0

7

1

0

2.3411

1.0473

5.3664

2.0438

0

0

0

8

1

0

2.6718

1.0989

5.8367

2.3325

0

0

0

9

1

0

3.0025

1.1531

6.2510

2.6212

0

0

0

10

1

0

3.3332

1.2099

6.6135

2.9099

0

0

0

11

1

0

3.6639

1.2696

6.9281

3.1986

0

0

0

12

1

0

3.9946

1.3322

7.1985

3.4873

0

0

0

13

1

0

4.3253

1.3978

7.4283

3.7760

0

0

0

14

1

0

4.6560

1.4667

7.6206

4.0647

0

0

0

15

1

0

4.9867

1.5390

7.7784

4.3534

0

0

0

16

1

0

5.3174

1.6149

7.9046

4.6421

0

0

0

17

1

0

5.6481

1.6945

8.0018

4.9308

0

0

0

18

1

0

5.9788

1.7780

8.0724

5.2194

0

0

0

19

1

0

6.3095

1.8657

8.1187

5.5081

0

0

0

20

1

0

6.6401

1.9577

8.1428

5.7968

0

0

0

21

1

0

6.9708

2.0542

8.1468

6.0855

0

0

0

22

1

0

7.3015

2.1554

8.1324

6.3742

0

0

0

23

1

0

7.6322

2.2617

8.1014

6.6629

0

0

0

24

1

0

7.9629

2.3732

8.0553

6.9516

0

0

0

25

1

0

8.2936

2.4901

7.9957

7.2403

0

0

0

26

1

0

8.6243

2.6129

7.9240

7.5290

0

0

0

27

1

0

8.9550

2.7417

7.8413

7.8177

0

0

0

28

1

0

9.2857

2.8768

7.7489

8.1064

0

0

0

29

1

0

9.6164

3.0186

7.6479

8.3951

0

0

0

30

1

0

9.9471

3.1674

7.5392

8.6838

0

0

0

31

1

0

10.2778

3.3236

7.4239

8.9725

0

0

0

32

1

0

10.6085

3.4874

7.3028

9.2612

0

0

0

33

1

0

10.9392

3.6593

7.1767

9.5499

0

0

0

34

1

0

11.2699

3.8397

7.0463

9.8386

0

0

0

35

1

0

11.6006

4.0289

6.9124

10.1273

0

0

0

36

1

0

11.9312

4.2275

6.7755

10.4160

0

0

0

37

1

0

12.2619

4.4359

6.6361

10.7047

0

0

0

38

1

0

12.5926

4.6546

6.4949

10.9934

0

0

0