Third-Order Clairaut Equation for a Rotating Body of Arbitrary Density and Its Application to Marine Geodesy.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 08, 1974
- Accession Number
- ADA001304
Entities
People
- Paolo Lanzano
- Zdenek Kopal
Organizations
- United States Naval Research Laboratory