Masters Theses

Abstract

"Several mathematicians have solved the problems of motion of the top and gyroscope most completely, but none of them have considered in their solutions the effects of the supporting gimbal rings upon the motion or the effects of a variable rotor speed. It is the purpose of this paper to investigate the top equations by two well known methods; namely, by the method of Lagrange and by the method of Jacobi; considering in both the dynamics of the gimbal rings and varying rotor speed"--Introduction, page 3.

Advisor(s)

Dean, George Reinald

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Mathematics

Publisher

Missouri School of Mines and Metallurgy

Publication Date

1931

Pagination

26 pages, 1 plate

Note about bibliography

Includes bibliographical references (leaves 69-70).

Rights

© 1931 Aaron Jefferson Miles, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Equations of motion
Jacobi method
Lagrange equations

Thesis Number

T 581

Print OCLC #

5962393

Electronic OCLC #

472477105

Comments

Typescript and handwritten by author. Illustrated by author.

Included in

Mathematics Commons

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