Earth, Moon, and Planets

, Volume 34, Issue 1, pp 93–100 | Cite as

Further considerations on contracting solar nebula

  • J. J. Rawal


Prentice (1978a) in his modern Laplacian theory of the origin of the solar system has established the scenario of the formation of the solar system on the basis of the usual laws of conservation of mass and angular momentum and the concept of supersonic turbulent convection that he has developed. In this, he finds the ratio of the orbital radii of successively disposed gaseous rings to be a constant ∼- 1.69. This serves to provide a physical understanding of the Titius-Bode law of planetary distances. In an attempt to understand the law in an alternative way, Rawal (1984) starts with the concept of Roche limit. He assumes that during the collapse of the solar nebula, the halts at various radii are brought about by the supersonic turbulent convection developed by Prentice and arrives at the relation: Rp= Rap, where Rpare the radii of the solar nebula at various halts during the collapse, Rthe radius of the present Sun and a = 1.442. ‘a’ is referred here as the Roche constant. In this context, it is shown here that Kepler's third law of planetary system assumes the form: Tp = T0(a3/2)p, where Tp are the orbital periods at the radii Rp, T0 ∼- 0.1216d ∼- 3 h, and a the Roche constant. We are inclined to interpret ‘T0’' to be the rotation period of the Sun at the time of its formation when it attained the present radius. It is also shown that the oribital periods Tpcorresponding to the radii Rpsubmit themselves to the Laplace's resonance relation.


Convection Angular Momentum Orbital Period Solar System Rotation Period 
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  1. Alfvén, H. and Arrhenius, G.: 1970a, Astrophys. Space Sci. 8, 338.Google Scholar
  2. Alfvén, H. and Arrhenius, G.: 1970b, Astrophys. Space Sci. 9, 3.Google Scholar
  3. Babinet, M.: 1861, Note sur un point de la cosmogonie de Laplace, Comptes, Rendus head. Sci. Paris 52, 481.Google Scholar
  4. Bok, B. J. and Reilly, E. F.: 1979, in Kenneth R. Lang and Owen Gingerich (eds.), A Source Book in Astronomy and Astrophysics 1900–1975, Harvard University Press, Cambridge, Massachusetts, p. 656.Google Scholar
  5. Dermott, S. F.: 1968, Monthly Notices Roy. Astron. Soc. 141, 363.Google Scholar
  6. Dermott, S. F.: 1973, Nature 244, 18.Google Scholar
  7. Dicke, R. H., 1970: Ann. Rev. Astron. Astrophys. 8, 297.Google Scholar
  8. Dicke, R. H.: 1983, Nature 303, 292.Google Scholar
  9. ter Haar, D.: 1967, Ann. Rev. Astron. Astrophys. 5, 267.Google Scholar
  10. ter Haar, D. and Cameron, A. G. W.: 1963, in R. Jastrow and A. G. W. Cameron (eds.), The Origin of the Solar System, Academic Press, New York, p. 1.Google Scholar
  11. Hoyle, F.: 1978, The Cosmogony of the Solar System, University College Cardiff Press.Google Scholar
  12. Larson, R. B.: 1969, Monthly Notices Roy. Astron. Soc. 145, 271.Google Scholar
  13. Mestel, L.: 1977, in T. De Jong and A. Maeder (eds.), ‘Star Formation’, IAU Symp. 75, 213.Google Scholar
  14. Nieto, M. M.: 1972, The Titius-Bode Law of Planetary Distances, Its History and Theory, Pergamon Press, Oxford.Google Scholar
  15. Prentice, A. J. R.: 1978a, in Dermott, S. F. (ed.), The Origin of the Solar System, John Wiley, London, p. 111.Google Scholar
  16. Prentice, A. J. R.: 1978b, The Moon and the Planets 19, 341.Google Scholar
  17. Prentice, A. J. R. and ter Haar, D.: 1971, Monthly Notices Roy. Astron. Soc. 151, 177.Google Scholar
  18. Rawal, J. J.: 1978, Bull. Astr. Soc. India 6, 92.Google Scholar
  19. Rawal, J. J.: 1981, The Moon and the Planets 24, 407.Google Scholar
  20. Rawal, J. J.: 1982, Indian J. of Radio and Space Phys. 11, 100.Google Scholar
  21. Rawal, J. J.: 1984, Earth, Moon and Planets 31, 175.Google Scholar
  22. Reeves, H.: 1978, in S. F. Dermott (ed.), The Origin of the Solar System John Wiley, London 1978.Google Scholar
  23. Williams, I. P. and Cremin, A. W.: 1968, Quart. J. Roy. Astron. Soc. 9, 40.Google Scholar
  24. Woolfson, M. M.: 1969, Repts. Progr. Phys. 32, 135.Google Scholar

Copyright information

© D. Reidel Publishing Company 1986

Authors and Affiliations

  • J. J. Rawal
    • 1
  1. 1.Nehru Planetarium, Nehru CentreWorliIndia

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