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Resonance Phenomena at Rotations of Artificial and Natural Celestial Bodies

  • V. V. Beletskii
Conference paper
Part of the COSPAR-IAU-IUTAM book series (IUTAM)

Abstract

In recent years the study of the rotational motions of celestial bodies has been concentrated upon the resonance (synchronization) of these motions. Synchronous rotations of the natural celestial bodies have been developed in the systems of the Jupiter, Saturn and Mars satellites. Such synchronizations have been also discovered in the rotation of Mercury and Venus. To these should be added the well-known synchronous rotation of the Moon. These facts allow us to consider the tendency to synchronous rotation as an objective Law of Nature. The passive stabilization systems of the artificial satellites make use of this tendency.

The resonance rotations of the celestial bodies are described by specifically constructed theories. These theories acknowledge synchronization of the rotational motion as a regular law of nature. The theory enables us to substantiate the empirical laws of the Moon’s rotation, i.e, Cassini’s laws, and to construct the generalized Cassini’s laws to which Mercury’s rotation is subjected.

The generalized Cassini’s laws describe a double synchronization first, between the axial rotation of a celestial body and its orbital motion and second, between the motion of an axis of rotation of the body and the disturbed orbital procession.

The Moon has double synchronization 1:1 and 1:1, Mercury has also double synchronization 3:2 and 1:1.

This double synchronization described by the generalized Cassini’s law can be successfully used for passive satellite stabilization, for example, for the double orbital stabilization of orbital stations.

Magnetic and gravitational field interaction creates the conditions for specific satellite stabilization; for example, synchronization of type 2:1 can be expected for some natural satellites of the great planets. To intensify magnetic stabilization the gravitational field can be used for the artificial satellites.

Resonance between the rotational and translational movements of a body leads to qualitatively new effects. At the expense of this resonance it is possible to change essentially the satellite orbit (in theory even from circular to parabolic orbit). Due to the smallness of interaction of the rotational and translational movements this fact is of purely theoretical interest; nevertheless it is discussed in the literature. The idea of “gravicraft” is based on this principle.

The present review describes briefly the history of development and investigation of resonance phenomena in the rotations of the natural and artificial celestial bodies. Here we use the facts and results of papers (1–3,39,40) and some other investigations.

Keywords

Angular Velocity Celestial Body Orbital Motion Resonance Rotation Resonance Zone 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag, Berlin/Heidelberg 1975

Authors and Affiliations

  • V. V. Beletskii
    • 1
  1. 1.MoscowRussia

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