Skip to main content
Log in

Motion of a Planet with a Complex Structure

  • Published:
Cosmic Research Aims and scope Submit manuscript

Abstract

The motion of a planet consisting of a mantle and a core (solid bodies) connected by a viscoelastic layer and interacting with each other and an external point mass by the law of gravitation is considered. The mutual motions of the core and mantle are investigated assuming that the centers of mass of the planet and external point mass moves along undisturbed Keplerian orbits around the common center of mass of the system. The planetary core and mantle have an axial symmetry and different principal moments of inertia, which leads to a displacement of the center of mantle relative to the center of core and to their mutual rotations. The results obtained on the basis of averaged equations are illustrated by the example of the Earth–Moon system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Darvin, J.G., Prilivy i rodstvennye im yavleniya v Solnechnoi sisteme(Tides and Related Phenomena in the Solar System), Moscow: Nauka, 1965.

    Google Scholar 

  2. Love, A.E.H., A Treatise on the Mathematical Theory of Elasticity, 4th ed., Cambridge: Cambridge University Press, 1927. Translated under the title Matematicheskaya teoriya uprugosti, Moscow: Otd. Nauchn. Tekh. Inform., 1935.

    Google Scholar 

  3. Zharkov, V.N., Vnutrennee stroenie Zemli i planet(Interior Structure of the Earth and Planets), Moscow: Nauka, 1983.

    Google Scholar 

  4. Vil'ke, V.G., Analiticheskaya mekhanika sistem s beskonechnym chislom stepenei svobody(Analytical Mechanics of Systems with Infinite Number of Degrees of Freedom), Moscow: Izd. Mekhan.-Matem. Fak. Mosk. Gos. Univ., 1997, Parts 1, 2.

    Google Scholar 

  5. Sidorenko, N.S., Fizika nestabil'nostei vrashcheniya Zemli (Physics of Instabilities in the Earth's Rotation), Moscow: Fizmatlit, 2002.

    Google Scholar 

  6. Barkin, Yu.V., Ob”yasnenie endogennoi aktivnosti planet i sputnikov i ee tsiklichnosti, Izvestiya RAEN, sektsiya nauk o Zemli. Dekabr' 2002. Vyp. 9. S. 45-97.

  7. Vil'ke, V.G., Teoreticheskaya mekhanika(Theoretical Mechanics), Moscow: Mosk. Gos. Univ., 1997.

    Google Scholar 

  8. Beletskii, V.V., Dvizhenie sputnika otnositel'no tsentra mass v gravitatsionnom pole(Satellite Motion in Gravitational Field Relative to Its Center of Mass), Moscow: Mosk. Gos. Univ., 1975.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vil'ke, V.G. Motion of a Planet with a Complex Structure. Cosmic Research 42, 374–381 (2004). https://doi.org/10.1023/B:COSM.0000039737.94955.08

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:COSM.0000039737.94955.08

Keywords

Navigation