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Limits to the expansion of Earth, Moon, Mars and Mercury and to changes in the gravitational constant

Abstract

New estimates of the palaeoradius of the Earth for the past 400 Myr from palaeomagnetic data limit possible expansion to less than 0.8%, sufficient to exclude any current theory of Earth expansion. The lunar surface has remained static for 4,000 Myr with possible expansion limited to 0.06%, the martian surface suggests a small possible expansion of 0.6% while the surface of Mercury supports a small contraction. Observations of Mercury, together with reasonable assumptions about its internal structure, indicate that G decreases at a rate of less than 8×10−12 yr−1, in constant mass cosmologies, and 2.5×10−11 yr−1 in Dirac's multiplicative creation cosmology.

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References

  1. Carey, S. W. Earth Sci. Rev. 11, 105 (1975).

    ADS  Google Scholar 

  2. Carey, S. W. The Expanding Earth (Elsevier, Amsterdam, 1977).

    Google Scholar 

  3. Owen, H. G. Phil. Trans. R. Soc. A281, 223 (1976).

    ADS  Google Scholar 

  4. Steiner, J. Geology 5, 313 (1977).

    ADS  Google Scholar 

  5. Dirac, P. A. M. Proc. R. Soc. A165, 199 (1938).

    ADS  Google Scholar 

  6. Jordan, P. Nature 164, 637 (1949).

    ADS  Google Scholar 

  7. Brans, C. & Dicke, R. H. Phys. Rev. 124, 925 (1961).

    ADS  MathSciNet  Google Scholar 

  8. Hoyle, F. & Narlikar, J. V. Nature 233, 41 (1971).

    ADS  CAS  PubMed  Google Scholar 

  9. Van Andel, S. I. & Hospers, J. Tectonophysics 6, 491 (1968).

    ADS  Google Scholar 

  10. Egyed, L. Geofis. Pura Appl. 45, 115 (1960).

    ADS  Google Scholar 

  11. Egyed, L. Nature 190, 1097 (1961).

    ADS  Google Scholar 

  12. Van Hilten, D. Nature 200, 1277 (1963).

    ADS  Google Scholar 

  13. Hospers, J. & Van Andel, S. I. Tectonophysics 5, 5 (1967).

    ADS  Google Scholar 

  14. Van Andel, S. I. & Hospers, J. Tectonophysics 5, 273 (1968).

    ADS  Google Scholar 

  15. Carey, S. W. in Proc. Symp. Continental Drift 177 (1958).

  16. Hilgenberg, O. Neu. Jahr. Geol. Palaeontol. 116, 1 (1962).

    Google Scholar 

  17. Ward, M. A. Geophys. J. R. astr. Soc. 8, 217 (1963).

    Google Scholar 

  18. Ward, M. A. Geophys. J. R. astr. Soc. 10, 445 (1966).

    ADS  Google Scholar 

  19. Fisher, R. A. Proc. R. Soc. A217, 295 (1953).

    ADS  Google Scholar 

  20. McElhinny, M. W. Palaeomagnetism and Plate Tectonics (Cambridge University Press, Cambridge, 1973).

    Google Scholar 

  21. McElhinny, M. W. & Brock, A. Earth planet. Sci. Lett. 27, 321 (1975).

    ADS  Google Scholar 

  22. Bullard, E. C., Everett, J. E. & Smith, A. G. Phil. Trans. R. Soc. 258, 41 (1965).

    ADS  Google Scholar 

  23. Smith, A. G. & Hallam, A. Nature 225, 139 (1970).

    ADS  Google Scholar 

  24. Egyed, L. Nature 197, 1059 (1963).

    ADS  Google Scholar 

  25. Wesson, P. S. Q. Jl R. astr. Soc. 14, 9 (1973).

    ADS  CAS  Google Scholar 

  26. Lyell, C. Principles of Geology 1 (John Murray, London, 1830).

    Google Scholar 

  27. Tennyson, A. Lord In Memoriam Section 123 (1850).

  28. Mutch, T. A. Geology of the Moon: A Stratigraphic View (Princeton University Press, Princeton, 1972).

    Google Scholar 

  29. Taylor, S. R. Lunar Science: A Post-Apollo View (Pergamon, New York, 1975).

    Google Scholar 

  30. Gault, D. E., Guest, J. E., Murray, J. B., Dzurisin, D. & Malin, M. C. J. geophys. Res. 80, 2444 (1975).

    ADS  Google Scholar 

  31. Mutch, T. A., Arvidson, R. E., Head, J. W., Jones, K. L. & Saunders, R. S. The Geology of Mars (Princeton University Press, Princeton, 1976).

    Google Scholar 

  32. Head, J. W. Rev. geophys. Space Phys. 14, 265 (1976).

    ADS  CAS  Google Scholar 

  33. Tera, F., Papanastassiou, D. A. & Wasserburg, G. J. Earth planet. Sci. Lett. 22, 1 (1974).

    ADS  CAS  Google Scholar 

  34. Schaeffer, O. A., Husain, L. & Schaeffer, G. A. Proc. 7th Lunar Sci. Conf. 2067 (1976).

  35. Turner, G. & Cadogan, P. H. Proc. 6th Lunar Sci. Conf. 1509 (1975).

  36. Solomon, S. C. & Chaiken, J. Proc. 7th Lunar Sci. Conf. 3229 (1976).

  37. Wilhems, D. E. Proc. 7th Lunar Sci. Conf. 2883 (1976).

  38. Oberbeck, V. R. Rev. geophys. Space Phys. 13, 337 (1975).

    ADS  Google Scholar 

  39. Fielder, G. Structure of the Moon's Surface (Pergamon, London, 1961).

    Google Scholar 

  40. Bryan, W. B. Proc. 4th Lunar Sci. Conf. 93(1973).

  41. Blasius, K. R. & Cutts, J. A. Proc. 7th Lunar Sci. Conf. 3561 (1976).

  42. Soderblom, L. A., West, R. A., Herman, B. M., Kriedler, T. J. & Condit, C. D. Icarus 22, 239 (1974).

    ADS  Google Scholar 

  43. Carr, M. J. geophys. Res. 79, 3943 (1974).

    ADS  Google Scholar 

  44. Stromm, R. G., Trask, N. J. & Guest, J. E. J. geophys. Res. 80, 2478 (1975).

    ADS  Google Scholar 

  45. Murray, B. C., Stromm, R. G., Trask, N. J. & Gault, D. E. J. geophys. Res. 80, 2508 (1975).

    ADS  Google Scholar 

  46. Solomon, S. C. Icarus 28, 509 (1976).

    ADS  CAS  Google Scholar 

  47. Jordan, P. Z. Astrophys. 68, 201 (1968).

    ADS  Google Scholar 

  48. Dicke, R. H. Science 138, 653 (1962).

    ADS  CAS  PubMed  Google Scholar 

  49. Williams, J. G. et al. Phys. Rev. Lett. 36, 551 (1976).

    ADS  Google Scholar 

  50. Lyttleton, R. A. The Moon 16, 41 (1976).

    ADS  Google Scholar 

  51. Jacobs, J. A. The Earth's Core 187 (Academic, New York, 1975).

    Google Scholar 

  52. Dirac, P. A. M. Proc. R. Soc. A338, 439 (1974).

    ADS  Google Scholar 

  53. Hoyle, F. & Narlikar, J. V. Mon. not. R. astr. Soc. 155, 323 (1972).

    ADS  Google Scholar 

  54. Crossley, D. J. & Stevens, R. K. Can. J. Earth Sci. 13, 1723 (1976).

    ADS  Google Scholar 

  55. Birch, F. Phys. Earth planet. Int. 1, 141 (1968).

    ADS  CAS  Google Scholar 

  56. Ringwood, A. E. Composition and Petrology of the Earth's Mantle (McGraw-Hill, New York, 1975).

    Google Scholar 

  57. Okal, E. A. & Anderson, D. L. Icarus (submitted).

  58. Ringwood, A. E. & Clark, S. P. Nature 234, 89 (1971).

    ADS  CAS  Google Scholar 

  59. Reasenberg, R. D. J. geophys. Res. 82, 369 (1977).

    ADS  Google Scholar 

  60. Siegfried, R. W., II & Solomon, S. C. Icarus 23, 192 (1974).

    ADS  CAS  Google Scholar 

  61. Ringwood, A. E. Phil. Trans. R. Soc. 285, 577 (1977).

    ADS  CAS  Google Scholar 

  62. Kuckes, A. F. Phys. Earth planet. Int. 14, 1 (1977).

    ADS  Google Scholar 

  63. Stevenson, D. J. Nature 256, 634 (1975).

    ADS  Google Scholar 

  64. Cassen, P., Young, R. E., Schubert, G. & Reynolds, R. T. Icarus 28, 501 (1976).

    ADS  Google Scholar 

  65. Shapiro, I. I., Smith, W. B., Ash, M. B., Ingalls, R. P. & Pettergill, G. H. Phys. Rev. Lett. 26, 27 (1971).

    ADS  Google Scholar 

  66. Reasenberg, R. D., Shapiro, I. I., Pettengill, G. H. & Campbell, D. B. Bull. Am. astr. Soc. 8, 308 (1976).

    Google Scholar 

  67. Canuto, V., Adams, P. J. & Tsiang, E. Nature 261, 438 (1976).

    ADS  CAS  Google Scholar 

  68. Maeder, A. Astr. Astrophys. 57, 125 (1977).

    ADS  Google Scholar 

  69. Roxburgh, I. W. Nature 268, 504 (1977).

    ADS  Google Scholar 

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McElhinny, M., Taylor, S. & Stevenson, D. Limits to the expansion of Earth, Moon, Mars and Mercury and to changes in the gravitational constant. Nature 271, 316–321 (1978). https://doi.org/10.1038/271316a0

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