Sensitivity analysis of the non-linear Liouville equation

Florian Seitz, Hansjörg Kutterer

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Scopus citations

Abstract

The non-linear gyroscopic model DyMEG has been developed at DGFI in order to study the interactions between geophysically and gravitationally induced polar motion and the Earth’s free wobbles, in particular the Chandler oscillation. The model is based on a biaxial ellipsoid of inertia. It does not need any explicit information concerning amplitude, phase, and period of the Chandler oscillation. The characteristics of the Earth’s free polar motion are reproduced by the model from rheological and geometrical parameters. Therefore, the traditional analytical solution is not applicable, and the Liouville equation is solved numerically as an initial value problem. The gyro is driven by consistent atmospheric and oceanic angular momenta. Mass redistributions influence the free rotation by rotational deformations. In order to assess the dependence of the numerical results on the initial values and rheological or geometrical input parameters like the Love numbers and the Earth’s principal moments of inertia, a sensitivity analysis has been performed. The study reveals that the pole tide Love number k2 is the most critical model parameter.

Original languageEnglish
Title of host publicationA Window on the Future of Geodesy - Proceedings of the International Association of Geodesy
EditorsFernando Sansò
PublisherSpringer Verlag
Pages601-606
Number of pages6
ISBN (Print)9783540240556
DOIs
StatePublished - 2005
Externally publishedYes
EventProceedings of the International Association of Geodesy, IAG 2003 - Sapporo, Japan
Duration: 30 Jun 200311 Jul 2003

Publication series

NameInternational Association of Geodesy Symposia
Volume128
ISSN (Print)0939-9585
ISSN (Electronic)2197-9359

Conference

ConferenceProceedings of the International Association of Geodesy, IAG 2003
Country/TerritoryJapan
CitySapporo
Period30/06/0311/07/03

Keywords

  • Critical parameters
  • Earth rotation
  • Gyroscopic model
  • Liouville differential equation
  • Sensitivity analysis

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