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

0.7458

1.0573

0.3033

0

0

0

2

1

0

0.6877

0.7831

1.9396

0.5842

0

0

0

3

1

0

1.0183

0.8223

2.7353

0.8651

0

0

0

4

1

0

1.3490

0.8635

3.4507

1.1461

0

0

0

5

1

0

1.6797

0.9068

4.0917

1.4270

0

0

0

6

1

0

2.0104

0.9522

4.6637

1.7080

0

0

0

7

1

0

2.3411

0.9998

5.1718

1.9889

0

0

0

8

1

0

2.6718

1.0499

5.6209

2.2699

0

0

0

9

1

0

3.0025

1.1025

6.0154

2.5508

0

0

0

10

1

0

3.3332

1.1577

6.3595

2.8318

0

0

0

11

1

0

3.6639

1.2157

6.6571

3.1127

0

0

0

12

1

0

3.9946

1.2765

6.9118

3.3936

0

0

0

13

1

0

4.3253

1.3405

7.1271

3.6746

0

0

0

14

1

0

4.6560

1.4076

7.3062

3.9555

0

0

0

15

1

0

4.9867

1.4781

7.4520

4.2365

0

0

0

16

1

0

5.3174

1.5521

7.5672

4.5174

0

0

0

17

1

0

5.6481

1.6298

7.6546

4.7984

0

0

0

18

1

0

5.9788

1.7114

7.7163

5.0793

0

0

0

19

1

0

6.3095

1.7971

7.7548

5.3603

0

0

0

20

1

0

6.6401

1.8871

7.7721

5.6412

0

0

0

21

1

0

6.9708

1.9816

7.7701

5.9222

0

0

0

22

1

0

7.3015

2.0808

7.7506

6.2031

0

0

0

23

1

0

7.6322

2.1850

7.7153

6.4840

0

0

0

24

1

0

7.9629

2.2944

7.6657

6.7650

0

0

0

25

1

0

8.2936

2.4093

7.6034

7.0459

0

0

0

26

1

0

8.6243

2.5300

7.5295

7.3269

0

0

0

27

1

0

8.9550

2.6567

7.4454

7.6078

0

0

0

28

1

0

9.2857

2.7897

7.3522

7.8888

0

0

0

29

1

0

9.6164

2.9294

7.2510

8.1697

0

0

0

30

1

0

9.9471

3.0761

7.1426

8.4507

0

0

0

31

1

0

10.2778

3.2301

7.0282

8.7316

0

0

0

32

1

0

10.6085

3.3919

6.9084

9.0126

0

0

0

33

1

0

10.9392

3.5617

6.7840

9.2935

0

0

0

34

1

0

11.2699

3.7400

6.6558

9.5744

0

0

0

35

1

0

11.6006

3.9273

6.5244

9.8554

0

0

0

36

1

0

11.9312

4.1240

6.3904

10.1363

0

0

0

37

1

0

12.2619

4.3305

6.2544

10.4173

0

0

0

38

1

0

12.5926

4.5473

6.1168

10.6982

0

0

0