Analog solution of central force problem.
Loading...
Authors
McLaughlin, Dean N.
Subjects
Advisors
Date of Issue
1960
Date
Publisher
Monterey, California : Naval Postgraduate School
Language
en_US
Abstract
Electronic analog computers have been used extensively for the
solution and display of many dynamics problems. The majority of the
problems worked with have been those involving linear differential
equations with constant coefficients. In cases involving non- linear
differential equations fewer solutions have been developed. This has
been due mainly to the need of using non- linear elements in the computer
circuits when setting up the solutions.
One such problem, that of a mass moving under the action of a
first power central force, is treated in some detail. The differential
equation is derived, the problem is scaled, and the circuitry
developed. Solutions obtained by the use of the electronic analog
computer are displayed and compared with solutions obtained by numerical
methods and errors and their sources are discussed. Finally
there is an overall evaluation of the usefulness of analog computers
to this sort of problem. In an appendix, a second practical dynamics
problem is discussed, but a solution was not obtained due to lack of
time available.
Type
Thesis
Description
Series/Report No
Department
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.