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.

Subject Categories:

  • Geodesy

Distribution Statement:

APPROVED FOR PUBLIC RELEASE