Analog solution of central force problem.
McLaughlin, Dean N.
MetadataShow full item record
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.
RightsThis 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.
Showing items related by title, author, creator and subject.
Agrawal, B.N. (1993);This paper presents a boundary-layer model to predict dynamic characteristics of liquid motion in partially filled tanks of a spinning spacecraft. The solution is obtained by solving three boundary-value problems: an ...
Agrawal, B.N. (1990);This paper presents a boundary layer model to predict dynamic characteristics of liquid motion in partially filled tanks of a spinning spacecraft. The solution is obtained by solving three boundary value problems: inviscid, ...
Hudspeth, Robert Turner (University of Washington, 1966);The study of the effect of resonant expansion systems on the propagation of long waves is presented in this thesis as a design problem in coastal hydraulics. Two previous studies which have been made on similar systems ...