Accession Number:
ADA001304
Title:
Third-Order Clairaut Equation for a Rotating Body of Arbitrary Density and Its Application to Marine Geodesy.
Descriptive Note:
Final rept.,
Corporate Author:
NAVAL RESEARCH LAB WASHINGTON D C
Personal Author(s):
Report Date:
1974-11-08
Pagination or Media Count:
17.0
Abstract:
This report derives the Clairaut equations, which govern the deformation of the equipotential surfaces within a rotating mass in hydrostatic equilibrium, as ordinary differential equations containing up to third-order terms in a small parameter. This has been achieved by a eliminating the two integral terms which appeared in the original formulation, and b by expanding the equipotential surfaces into a power series of a small parameter which is essentially the ratio between the rotational and potential energy of the body.
Descriptors:
Subject Categories:
- Geodesy