Citation
Mueller, Gregg (1952) Optimum range of a wingless rocket about a rotating earth. Engineer's thesis, California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd03252009111732
Abstract
The motion of a wingless rocket in a vacuum about a spherical nonrotating earth describes the elliptic orbit of a material point of mass in a central field of force. The corrections for the rotation of the earth are applied to this solution to determine the effects on optimum range. Since there is no simple mathematical solution for optimizing the range, it is necessary to obtain ranges for several angles of elevation at each initial velocity and then find the optimum range by using interpolation formulas. Only the case of firing at the equator is computed although the formulas and the computational procedure outlined can be applied at any latitude.
Firing to the East gives the greatest range for a given initial velocity and firing to the West gives the least range. The angle of elevation is lowest firing East and highest firing West, although for low velocities the difference is not great and for the 5,000 mph. solution a constant angle of elevation gives ranges varying at most only onetenth of a mile from the maximum for any direction of fire. However, for the 15,000 mph. solution all the factors are critical in obtaining the maximum range.
Item Type:  Thesis (Engineer's thesis) 

Degree Grantor:  California Institute of Technology 
Division:  Engineering and Applied Science 
Major Option:  Aeronautics 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  1 January 1952 
Record Number:  CaltechETD:etd03252009111732 
Persistent URL:  http://resolver.caltech.edu/CaltechETD:etd03252009111732 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  1124 
Collection:  CaltechTHESIS 
Deposited By:  Imported from ETDdb 
Deposited On:  25 Mar 2009 
Last Modified:  26 Dec 2012 02:35 
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