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On the second and third modes of the moon's free libration

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The probable semi-amplitudes of the second and third modes of the Moon's free librations are inferred from the observed semi-amplitude of its first mode, using the statistical relations between the exciting actions and the amplitudes of the free librations, derived in the author's previous paper (Sekiguchi, 1970). It is likely that the semi-amplitudes of these librations exceed some second of arc.

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  1. Jeffreys, H. and Crampin, S.: 1961, ‘Rock Creep: A Correction’,Monthly Notices Roy. Astron. Soc. 121, 571.

  2. Koziel, K.: 1967, ‘The Constants of the Moon's Physical Libration Derived on the Basis of Four Series of Heliometric Observations from the Years 1877 to 1915’,Icarus 7, 1.

  3. Sekiguchi, N.: 1970, ‘On the Possible Amplitude of the Moon's Libration’,The Moon 1, 110.

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Sekiguchi, N. On the second and third modes of the moon's free libration. The Moon 2, 136–139 (1970). https://doi.org/10.1007/BF00561956

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  • Statistical Relation
  • Exciting Action
  • Free Libration