Accession Number:

AD0294722

Title:

UPPER AND LOWER BOUNDS FOR THE APSIDAL ANGLE IN THE THEORY OF THE HEAVY SYMMETRICAL TOP,

Descriptive Note:

Corporate Author:

NAVAL ORDNANCE LAB WHITE OAK MD

Personal Author(s):

• Diaz ,J. B.
• Metcalf,F. T.

Report Date:

1962-10-04

Pagination or Media Count:

36.0

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

Descriptors:

• *AZIMUTH
• *BODIES OF REVOLUTION
• *GRAVITY
• *PARTICLES
• *SPHERES
• CONVEX SETS
• DIFFERENTIAL EQUATIONS
• FUNCTIONS(MATHEMATICS)
• INEQUALITIES
• INTEGRALS
• KINETIC THEORY
• MOTION
• POTENTIAL THEORY
• SURFACES
• THEORY
• VECTOR ANALYSIS

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE