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14) In the first term Dh must be expressed in radians. The expression (a/r (J ))2 never departs by more than about 3% from unity. Graphical representations of this formula are given in various texts, for example in Sellers (1965) where additional details may be found. 3 Long-term variations of the Earth’s orbital parameters For completeness we briefly discuss the most important variations of the Earth’s orbit around the Sun. 01673. The period of this oscillation is approximately 100 000 years. The Earth’s rotational axis N precesses around the normal of the ecliptic plane n with an angle of 23◦ 27 .

3 Long-term variations of the Earth’s orbital parameters For completeness we briefly discuss the most important variations of the Earth’s orbit around the Sun. 01673. The period of this oscillation is approximately 100 000 years. The Earth’s rotational axis N precesses around the normal of the ecliptic plane n with an angle of 23◦ 27 . 12. First we investigate the influence of the Sun on the geoidal form of the Earth. At the center of the Earth the gravitational attraction of the Sun and the centrifugal force due to the revolving motion of the Earth around 16 Introduction the Sun are equal but opposite in sign.

13 Definition of the local spherical (˜r , ϑ, ϕ)-coordinate system and the direction Ω. 17) c c As soon as the photon interferes with matter, various types of interactions between the atoms of the material and the photon may occur. A single interaction may be an absorption or a scattering process. Between any two scattering interactions the photon is assumed to travel in a straight line with the speed of light c. We will also assume that during a scattering process the photon suffers no change in frequency.

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