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Mathematical Theory of Motion of Revolving Axes on the Surface of Planets

Published online by Cambridge University Press:  12 April 2016

T.S. Kozhanov  and
Nizyarov N.
T.S. Kozhanov
Affiliation:
The Kazakh State Agrarian university, Almaty, Kazakhstan
Nizyarov N.
Affiliation:
The Kazakh State Agrarian university, Almaty, Kazakhstan

Extract

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Let a planet perform translational and rotational motions in the field of solar attraction. Let’s assume that the observer on the surface of the planet, knows (even approximately) an orbit and variations of orientation. It is necessary to clarify the motion of the instanteous rotation axis on the planet’s surface from the observer’s point of view on the planet’s surface.

1. The coordinate system, to describe the translational and rotational motions of planets around the Sun we shall take into account the properties of orbits of solar system planets, namely:

  1. 1) All planets move in the same direction as the Sun revolves.

  2. 2) At the present time, from June until December the Earth’s inhabitants see the north pole of the Sun and during the second half of year the southern one (Beleckei 1975, Menzel 1959).

Type
Part 7. Modern Definition of the Celestial Ephemeris Pole
Information
International Astronomical Union Colloquium , Volume 178: Polar Motion: Historical and Scientific Problems , 2000 , pp. 619 - 622
Copyright
Copyright © Astronomical Society of the Pacific 2000

References

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Menzel, D.H., 1959, Our Sun. - Rev. ed. Cambridge, Harvard Univ. press, 1959.Google Scholar
Munk, W. and McDonald, G., 1964, Rotation of Earth. - M.: Mir, (in Russian).Google Scholar
Popov, N.A., 1968, The small periodic members in oscillations of breadth of Poltava. - Kiev: Nauková dumka, (in Russian).Google Scholar
Yatskiv, Y.S., Mironov, N.T., Korsun, A.A., Tarady, V.K., 1976, Movement of poles and nonuniformity of rotation of Earth.//Astronomy. The totals of a science and engineering. - N 12 V.1. (in Russian).Google Scholar