Laser Ranging of the Moon

  • Yu. L. Kokurin
Part of the The Lebedev Physics Institute Series book series (LPIS)


A new method for studying the earth—moon system based on direct laser ranging measurements of distances to the moon is developed. The theory for determining the parameters of the earth—moon system from ranging measurements is worked out. On this basis a number of problems in geodesy, geophysics, astronomy, and selenodesy are posed which can be solved by laser ranging of the moon. An automatic laser ranging system was built and is used to make regular measurements of the distances to comer reflectors on the moon with an accuracy of ±90 cm. About 900 measurements of the distances to lunar reflectors have been made. Some parameters of the earth—moon system are determined using these measurements.


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Literature Cited

  1. 1.
    T. H. Maiman, Nature, 187:493 (1960).ADSCrossRefGoogle Scholar
  2. 2.
    Yu. L. Kokurin, V. V. Kurbasov, V. F. Lobanov, V. M. Mozhzherin, A. N. Sukhanovskii, and N. S. Chernykh, Kosm. Issled., 4:414 (1966).Google Scholar
  3. 3.
    A. A. Yakovkin, in: The Moon [in Russian], Fizmatgiz, Moscow (1960), p. 39.Google Scholar
  4. 4.
    R. Baldwin, What Do We Know about the Moon? [Russian translation], Mir, Moscow (1967).Google Scholar
  5. 5.
    G. MacDonald, Rotation of the Earth, Cambridge University Press (1975).zbMATHGoogle Scholar
  6. 6.
    N. N. Pavlov, in: The Earth’s Rotation and the Determination of Time [in Russian], Nauka, Moscow (1969), p. 5.Google Scholar
  7. 7.
    A. Wegener, Origin of Continents and Oceans, Peter Smith Publishing, New York.Google Scholar
  8. 8.
    Continental Drift [Russian translation], Mir, Moscow (1966).Google Scholar
  9. 9.
    H. Takeuchi, S. Ueda, and H. Kanamori, Do the Continents Move? [Russian translation], Mir, Moscow (1970).Google Scholar
  10. 10.
    M. Tarling and D. Tarling, Continental Drift, Doubleday, New York (1971).Google Scholar
  11. 11.
    V. K. Abalakin and Yu. L. Kokurin, in: Some Problems in the Physics of Outer Space [in Russian], VAGO, Moscow (1974), p. 63.Google Scholar
  12. 12.
    K. Froome and L. Essen, Velocity of Light, Academic Press, New York (1969).Google Scholar
  13. 13.
    Yu. L. Kokurin, V. V. Kurbasov, V. F. Lobanov, A. N. Sukhanovskii, and N. S. Chernykh, Kosm. Issled., 5:219 (1967).Google Scholar
  14. 14.
    Yu. L. Kokurin and V. F. Lobanov, Kosm. Issled., 6:247 (1968).Google Scholar
  15. 15.
    E. W. Brown, Mem. Roy. Astron. Soc., 53:39 (1900).ADSGoogle Scholar
  16. 16.
    E. W. Brown, Mem. Roy. Astron. Soc. 54:1 (1904).ADSGoogle Scholar
  17. 17.
    E. W. Brown, Mem. Roy. Astron. Soc., 57:51 (1905).ADSGoogle Scholar
  18. 18.
    E. W. Brown, Mem. Roy. Astron. Soc., 59:1 (1909).ADSGoogle Scholar
  19. 19.
    E. W. Brown, Tables of the Motion of the Moon, Yale University Press, New Haven; Oxford Univ. Press, London (1919).zbMATHGoogle Scholar
  20. 20.
    W. J. Eckert, R. Jones, and H. K. Clark, Improved Lunar Ephemerides 1952–1959, U.S. Government Printing Office, Washington (1954).Google Scholar
  21. 21.
    M. A. Fursenko, Byull. Inst, Teor. Astron., 10:4 (1965).Google Scholar
  22. 22.
    V. K. Abalakin and M. A. Fursenko, Byull. Inst. Teor. Astron., 11:8 (1968).Google Scholar
  23. 23.
    D. V. Zagrebin, Introduction to Astrometry [in Russian], Nauka, Moscow-Leningrad (1966).Google Scholar
  24. 24.
    K. A. Kulikov, The Variability of Latitudes and Longitudes [in Russian], Fizmatgiz, Moscow (1962).Google Scholar
  25. 25.
    Yu. A. Chikanov, Tr. Kazan. Gos. Astron. Obs., 35:116 (1968).Google Scholar
  26. 26.
    F. Hayn, Die Rotation des Mondes, Encycl. Math. Wiss., 6:1020 (1923).Google Scholar
  27. 27.
    K. Kosiel, Acta Astron., a4:153 (1949).Google Scholar
  28. 28.
    Astronomical Yearbook of the USSR for 1973 [in Russian], Nauka, Moscow (1970).Google Scholar
  29. 29.
    V. K. Abalakin, E. P. Aksenov, E. A. Grebenikov, and Yu. A. Ryabov, Handbook on Celestial Mechanics and Astrodynamics [in Russian], Nauka, Moscow (1971).Google Scholar
  30. 30.
    S. Newcomb, Astron. Pap., 6:1 (1895).Google Scholar
  31. 31.
    E. W. Woolard, Astron. Pap., 15:1 (1953).ADSGoogle Scholar
  32. 32.
    P. Escobal, Methods of Orbit Determination, Wiley, New York (1965).Google Scholar
  33. 33.
    D. Brouwer and G. Clemence, Methods of Celestial Mechanics, Academic Press, New York (1971).Google Scholar
  34. 34.
    Yu. L. Kokurin, V. F. Lobanov, A. N. Sukhanovsky, V. K. Abalakin, M. A. Fursenko, and A. A. Gurstein, Phys. Earth Planet. Inter. 7:491 (1973).ADSCrossRefGoogle Scholar
  35. 35.
    V. K. Abalkin, V. N. Boiko, Yu. L. Kokurin, V. F. Lobanov, and M. A. Fursenko, Astron. Zh., 52:387 (1975).ADSGoogle Scholar
  36. 36.
    T. C. Van Flandern, Cel. Mech., 1:163 (1969).ADSCrossRefGoogle Scholar
  37. 37.
    R. H. Dfcke, The Earth-Moon System, Plenum Press, New York (1966), p. 98.Google Scholar
  38. 38.
    Z. Kopal, ed., The Physics and Astronomy of the Moon [Russian translation], Mir, Moscow (1973).Google Scholar
  39. 39.
    A. F. Bogomolov, The Elements of Radar [in Russian], Sovetskoe Radio, Moscow (1954).Google Scholar
  40. 40.
    A. I. Tudorovskii, Tr. Gos. Opt. Inst., 14:137 (1941).Google Scholar
  41. 41.
    P. R. Yoder, J. Opt. Soc. Am., 48:496 (1958).ADSCrossRefGoogle Scholar
  42. 42.
    K. N. Chandler, J. Opt. Soc. Am., 50:203 (1960).ADSCrossRefGoogle Scholar
  43. 43.
    R. S. Jullian, Measure of the Moon, D. Reidel Publishing Company, Dordrecht, Holland (1967), p. 181.CrossRefGoogle Scholar
  44. 44.
    R. K. Long, Proc. IEEE, 51:859 (1963).CrossRefGoogle Scholar
  45. 45.
    B. I. Stepanov, ed., Computational Techniques for Lasers [in Russian], Nauka i Tekhnika, Minsk (1968).Google Scholar
  46. 46.
    Electro Optics, No. 7, p. 2 (1971), Information.Google Scholar
  47. 47.
    A. L. Mikaélyan, V. G. Savel’ev, and Yu. G. Turkov, Pis’ma Zh. Eksp. Teor. Fiz., 6:6 (1967).Google Scholar
  48. 48.
    V. Ya. Anaton’yants, N. S. Ivanova, A. L. Mikaélyan, V. P. Minaev, and Yu. G. Turkov, Kvant. Elektron., No. 5(11) p. 106 (1972).Google Scholar
  49. 49.
    V. E. Zuev, The Laser Meteorologist [in Russian], Gidrometeoizdat, Leningrad (1974).Google Scholar
  50. 50.
    F. P. Burns, IEEE Spectrum, 3:115 (1967).CrossRefGoogle Scholar
  51. 51.
    E. F. Ishchenko and Yu. M. Klimkov, Lasers [in Russian], Sovetskoe Radio, Moscow (1968).Google Scholar
  52. 52.
    R. W. Hellwarth, Advances in Quantum Electronics, Columbia University Press, New York (1961), p. 334.Google Scholar
  53. 53.
    N. G. Basov, V. S. Zuev, and P. G. Kryukov, Zh. Eksp. Teor. Fiz., 43:353 (1962).Google Scholar
  54. 54.
    F. J. McClung and R. W. Hellwarth, J. Appl. Phys. 33:828 (1962).ADSCrossRefGoogle Scholar
  55. 55.
    R. J. Coolins and P. Kisliuk, J. Appl. Phys. 33:2009 (1962).ADSCrossRefGoogle Scholar
  56. 56.
    N. G. Basov and V. S. Letokhov, Dokl. Akad. Nauk SSSR, 167:73 (1966).Google Scholar
  57. 57.
    N. G. Basov, V. S. Zuev, P. G. Kryukov, V. S. Letokhov, Yu. V. Senatskii, and S. V. Chekalin, Zh. Eksp. Teor. Fiz., 54:767 (1968).Google Scholar
  58. 58.
    A. A. Vuylsteke, J. Appl. Phys., 34:1615 (1963).ADSCrossRefGoogle Scholar
  59. 59.
    W. R. Hook, R. H. Dishington, and R. P. Hilberg, Appl. Phys. Lett., 9:125 (1966).ADSCrossRefGoogle Scholar
  60. 60.
    W. R. Hook, R. P. Holberg, and R. H. Dishington, Proc. IEEE, 54:1954 (1966).CrossRefGoogle Scholar
  61. 61.
    J. Ernest, M. Michon, and J. Debrie, Phys. Lett., 22:147 (1966).ADSCrossRefGoogle Scholar
  62. 62.
    N. G. Basov, P. G. Kriukov, V. S. Letokhov, and Yu. V. Senatskii, IEEE J. Quant. Electron., 4:606 (1968).ADSCrossRefGoogle Scholar
  63. 63.
    G. L. Kashen, L. Steinmetz, and J. Kysilka, Appl. Phys. Lett., 13:229 (1968).ADSCrossRefGoogle Scholar
  64. 64.
    A. J. DeMaria, R. Gagosz, H. A. Heynan, A. W. Penney, and G. Wisner, J. Appl. Phys., 38:2693 (1967).ADSCrossRefGoogle Scholar
  65. 65.
    N. G. Basov, P. G. Kriukov, and V. S. Letokhov, Laser Magazine, 4:39 (1969).Google Scholar
  66. 66.
    N. O. Chechik, S. M. Fainshtein, and T. M. Lifshits. Electron Multipliers [in Russian], Gostekhizdat, Moscow (1957).Google Scholar
  67. 67.
    A. N. Pertsev and A. N. Pisarevskii, Single-Electron Characteristics of Photomultipliers and Their Applications [in Russian], Atomizdat, Moscow (1971).Google Scholar
  68. 68.
    G. A. Norton, Appl. Opt., 7:1 (1968).ADSCrossRefGoogle Scholar
  69. 69.
    S. K. Poultney, Adv. Electron. Electron. Phys., 31:39 (1972).CrossRefGoogle Scholar
  70. 70.
    A. H. Sommer, Rev. Scio Instrum., 26:725 (1955).ADSCrossRefGoogle Scholar
  71. 71.
    J. J. Scheer and J. van Laar, Solid State Communo, 3:189 (1965).ADSCrossRefGoogle Scholar
  72. 72.
    B. F. Williams and J. J. Tietjen, Proc, IEEE, 59:1489 (1971).CrossRefGoogle Scholar
  73. 73.
    W. D. Gunter, G. R. Grant, and S. A. Shaw, Appl. Opt., 9:251 (1970).ADSCrossRefGoogle Scholar
  74. 74.
    W. D. Gunter, E. F. Ericson, and G. R. Grant, Appl. Opt, 4:5l2 (1965).CrossRefGoogle Scholar
  75. 75.
    V. P. Vasil’ev, G. É. Kufal’, L. F. Pliev, and M. F. Fok, Zh. Prikl. Spektrosk., 14:2 (1971).Google Scholar
  76. 76.
    Sh. A. Furman, Opt. Mekh. Promst., 9:50 (1968).Google Scholar
  77. 77.
    Sh. A. Furman, Opt. Spektrosk., 33:553 (1972).Google Scholar
  78. 78.
    A. Z. Grasyuk, V. S. Zuev, Yu. L. Kokurin, P. G. Kryukov, V. V. Kurbasov, V. F. Lobanov, V. M. Mozhzherin, A. N. Sukhanovskii, N. S. Chernykh, and K. K. Chuvaev, Dokl. Akad. Nauk SSSR, 154:1303 (1964).Google Scholar
  79. 79.
    Yu. L. Kokurin, V. V. Kurbasov, V. F. Lobanov, V. M. Mozhzherin, A. N. Sukhanovskii, and N. S. Chernykh, Pis’ma Zh. Êksp. Teor. Fiz., 3:219 (1966).Google Scholar
  80. 80.
    Yu. L. Kokurin, V. V. Kurbasov, V. F. Lobanov, A. N. Sukhanovskii, and N. S. Chernykh, Kosm. Issled., 9:912 (1971).ADSGoogle Scholar
  81. 81.
    A. König, Astronomical Techniques [Russian translation], Mir, Moscow (1967).Google Scholar
  82. 82.
    V. V. Kurbasov, Candidate’s Dissertation, Phys. Inst., Acad. Sei, USSR, Moscow (1974).Google Scholar
  83. 83.
    V. N. Zaitsev, V. V. Kurbasov, A. V. Kutsenko, N. M. Lypkan’, and B. A. Polos’yants, FIAN Preprint No. 47 (1974).Google Scholar
  84. 84.
    V. N. Tereshchenko and A. V. Kharitonov, Zone Spectrometric Standards. Studies of the Energy Distribution in the Spectra of 109 Stars in Absolute Units [in Russian], Nauka, Alma-Ata (1972).Google Scholar
  85. 85.
    Rapport d’étude théorique. Phase 1-Lot, TL-2, Sud Aviation, Paris (1969).Google Scholar
  86. 86.
    A. Orszag, These de Doctorat en Sciences, Paris (1972).Google Scholar
  87. 87.
    S. K. Poultney, The Detector Package, Technical Report 957, University of Maryland (1969).Google Scholar
  88. 88.
    D. Hudson, Statistics for Physicists [Russian translation], Mir, Moscow (1967).Google Scholar
  89. 89.
    B. R. Bean and G. D. Theyer, J. Res. Nat. Bur. Stand. (Radio Propagation), 67D:273 (1963).CrossRefGoogle Scholar
  90. 90.
    H. S. Hopfield, Radio Sei., 6:357 (1969).ADSCrossRefGoogle Scholar
  91. 91.
    H. S. Hopfield, J. Geophys. Res., 74:4487 (1969).ADSCrossRefGoogle Scholar
  92. 92.
    P. L Bakulin and N. S. Blinov, Exact Time Services [in Russian], Nauka, Moscow (1968).Google Scholar
  93. 93.
    C. O. Alley, P. L. Bender, R. F. Chang, D. G. Currie, et al., in: Apollo-11 Preliminary Science Report, NASA SP-214, Washington, D.C. (1969), p. 163.Google Scholar
  94. 94.
    R. L. Duncombe, Astron. J., 61:226 (1956).ADSGoogle Scholar
  95. 95.
    Sur le système de constantes astronomiques, Bull. Astron., p. 25, Paris (1965).Google Scholar

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© Springer Science+Business Media New York 1979

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  • Yu. L. Kokurin

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