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Secular changes in the lunar elements.

C F Martin, T C Van Flandern

    Science (New York, N.Y.)
    |April 10, 1970
    PubMed
    Summary
    This summary is machine-generated.

    New analysis of lunar occultations provides updated centennial rates for lunar orbit elements, FK4 equinox location, and ecliptic obliquity. These corrections reconcile theoretical models with observational data.

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    Area of Science:

    • Astronomy and Astrophysics
    • Celestial Mechanics
    • Geophysics

    Background:

    • Accurate models of the Moon's orbit and Earth's orientation are crucial for understanding celestial mechanics.
    • Existing discrepancies between theoretical predictions and observational data for lunar orbital elements and Earth's obliquity persist.
    • The FK4 equinox system requires precise definition for astronomical reference frames.

    Purpose of the Study:

    • To present revised centennial rates of change for key lunar orbital elements.
    • To refine the adopted values for the FK4 equinox location and the obliquity of the ecliptic.
    • To resolve discrepancies between current astronomical theories and observational evidence.

    Main Methods:

    • Analysis of historical lunar occultation data spanning several centuries.

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  • Application of advanced data analysis techniques to derive orbital parameters.
  • Comparison of derived values with established astronomical models.

    • Main Results:

    • Corrections to the centennial rates of change for four specific lunar orbital elements have been determined.
    • Updated values for the location of the FK4 equinox are provided.
    • Revised rates for the obliquity of the ecliptic are presented.

    Conclusions:

    • The presented corrections significantly improve the agreement between lunar motion theories and observational data.
    • The refined values enhance the accuracy of astronomical reference frames and ephemerides.
    • This study contributes to a more robust understanding of long-term celestial body dynamics.