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Conversion of spherical harmonics (Kaula, 3.3)I2.2a We want to express the terms in the expansion in Kepler variables:. C.C.Tscherning, 2009-10-25.

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Presentation on theme: "Conversion of spherical harmonics (Kaula, 3.3)I2.2a We want to express the terms in the expansion in Kepler variables:. C.C.Tscherning, 2009-10-25."— Presentation transcript:

1 Conversion of spherical harmonics (Kaula, 3.3)I2.2a We want to express the terms in the expansion in Kepler variables:. C.C.Tscherning, 2009-10-25.

2 Kaula (3.48, 49) C.C.Tscherning, 2009-10-25.

3 Kaula (3.51) C.C.Tscherning, 2009-10-25.

4 Kaula (3.53, 54) C.C.Tscherning, 2009-10-25.

5 Kaula (3.55,56), fig. 4. C.C.Tscherning, 2009-10-25.

6 Kaula (3.57). C.C.Tscherning, 2009-10-25.

7 Development of P nm C.C.Tscherning, 2009-10-25.

8 Kaula (3.58,59). C.C.Tscherning, 2009-10-25.

9 Kaula (3.60,). C.C.Tscherning, 2009-10-25.

10 Kaula (3.61, 62). C.C.Tscherning, 2009-10-25.

11 Kaula Table 1. C.C.Tscherning, 2009-10-25.

12 Kaula 3.70. C.C.Tscherning, 2009-10-25.

13 Kaula 3.72, 3.73. C.C.Tscherning, 2009-10-25.

14 Kaula 3.74. C.C.Tscherning, 2009-10-25.

15 Kaula 3.75. With C 20 =-0.00010827, e=0.001, a=1.2a e C.C.Tscherning, 2009-10-25.

16 Kaula 3.76. C.C.Tscherning, 2009-10-25.

17 Resonance, Kaula 3.6 Terms become zero, or ”infinite” by division with zero. C.C.Tscherning, 2009-10-25.

18 Orbit with repeating ground track Orbit which gives resonance with specific term(s) Orbit which is sun-syncroneous Orbit which enables close ”encounter” with an object, such as the poles. Applications C.C.Tscherning, 2009-10-25.

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