UPPER AND LOWER BOUNDS FOR THE APSIDAL ANGLE IN THE THEORY OF THE HEAVY SYMMETRICAL TOP,
Abstract
A simple method is developed for obtaining upper and lower bounds for the apsidal angle which occurs in the theory of the heavy symmetrical top. This method is employed to give a quick derivation and an improvement of the upper and lower bounds obtained by W. Kohn. An advantage of the present method is the simplification which arises from eliminating the need for contour integration. The sharpness of the bounds is demonstrated, again without contour integration. The particular method in question is illustrated first in the theory of the spherical pendulum. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 04, 1962
- Accession Number
- AD0294722
Entities
People
- F. T. Metcalf
- J. B. Diaz
Organizations
- Naval Ordnance Laboratory