Theories of Nutation and Polar Motion III,

Abstract

The present report is a continuation and conclusion of two previous OSU-DGSS reports (AD-A108 999 and AD-A099 015). It treats the solution of Sasao, Okubo and Saito (1980), which is the simplest and most straight forward solution of Molodensky's liquid core problem (Part A). In Part B, a relatively little known variational principle of Poincare is derived and applied to a unified deduction of the equations of Sasao et al. Part C provides explicit expression for lunisolar nutation and polar motion for the principal terrestrial axes: the rotation axis, the figure axis, the mean Tisserand axis, the angular momentum axis, and the axis associated with the Celestial Ephemeris Pole as adopted by the IAU in 1979, taking into account liquid core effects.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1982
Accession Number
ADA126289

Entities

People

  • Helmut Moritz

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Angular Momentum
  • Complex Numbers
  • Computational Fluid Dynamics
  • Computational Science
  • Coordinate Systems
  • Differential Equations
  • Differential Geometry
  • Earth Models
  • Elastic Properties
  • Equations
  • Geodesy
  • Kinetic Energy
  • Lie Groups
  • Mechanics
  • Partial Differential Equations
  • Variational Principles

Readers

  • Calculus or Mathematical Analysis
  • Space Exploration and Orbital Mechanics.