Date of Award

Spring 1946

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)

Department

Mathematics

Abstract

The amount of available published information on the subject of pursuit curves is limited to a few articles concerned with the very simplest problems. In general, the problem has been to find the equation of the path an object will take when it pursues another object. The conditions placed upon the problem have been (1) that the object being pursued is traveling in a straight line; (2) that either the speeds of both objects are uniform, or the distance between the objects remains constant. The modification of or removal of these conditions adds new interest to the problem. In the fields of astronomy, nuclear mechanics, and atomic structure there are many examples of pursuit. The relationship between the speeds of the objects, and the paths they take is an interesting problem. It is this relationship which will be investigated in the present thesis.

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