Computation of the Quantities Describing the Lunar Librations in the Astronomical Almanac

Abstract

Lunar physical ephemerides, tabulated daily including llbration, can be found in Section D of The Astronomical Almanac (AsA). This technical note describes the method used for calculating the lunar librations and other quantities on the odd pages D7-D21 of the AsA with effect from the 2011 edition. Prior to the 1985 edition, formulae and constants for the physical ephemeris of the Moon were due to Hayn (1907). Beginning with the 1985 edition, librations have been generated using the analytical theory of Eckhardt (1981, 1982). Since the inclusion of a rotational ephemeris for the Moon given in the form of three Euler angles in the JPL lunar ephemerides starting with DE403/LE403, Standish et al. (1995), it has been a long-standing goal to implement these ephemerides in the calculation of lunar librations and improve the quality of the tabulated physical ephemerides of the Moon in Section D. Work started by Hilton (2004) on interpreting these ephemerides has paved the way to the work presented here which describes the calculation of librations and related quantities as they have been implemented starting with the 2011 edition of the AsA.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 2010
Accession Number
ADA528116

Entities

People

  • A. T. Sinclair
  • D. B. Taylor
  • J. L. Hilton
  • S. A. Bell

Organizations

  • United States Naval Observatory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Computations
  • Computers
  • Electronic Mail
  • Ephemerides
  • Equations
  • Euler Angles
  • Grids
  • Information Operations
  • Latitude
  • Longitude
  • Mathematical Analysis
  • Mathematics
  • Nautical
  • Rotation
  • United Kingdom

Fields of Study

  • Physics

Readers

  • Astronomy and Astrophysics.
  • Library and Information Science
  • Systems Analysis and Design

Technology Areas

  • Space
  • Space - Orbital Debris