Citation
Simmons, Jerry Lee (1962) Applications of the twovariable expansion procedure to problems in celestial mechanics. Engineer's thesis, California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd12082005110043
Abstract
This work illustrates the application of the twovariable expansion procedure of reference 1 to the solution of two representative problems in celestial mechanics.
The expansion procedure is applied first to the problem of aerodynamic perturbations of a satellite orbit. The case of planar motion is considered with both lift and drag perturbations acting on the satellite. A simplified model of the earth is used, but the motion is expected to exhibit a similar qualitative behavior in the more general case. It is found that the effect of drag causes the satellite to spiral toward the center of attraction while the orbit is tending to become circular. The effect of lift, to the order computed, is felt only by a slow advance of the apse.
The second application of the expansion procedure is to the problem of thirdbody perturbations of a satellite orbit. A special case of the restricted threebody problem is used in which the plane of the satellite's orbit is coincident with the orbital plane of the two larger bodies. The twovariable expansion is applied to approximate equations which are valid for satellite orbits close to the smaller of the two large bodies. The results are in exact agreement with those of reference 2 and DePontecoulant's lunar theory. The solution of this problem is to serve as a preliminary step in establishing the choice of variables for the more general case in which the satellite's orbit has a high inclination to the orbital plane of the two larger bodies.
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 1962 
Record Number:  CaltechETD:etd12082005110043 
Persistent URL:  http://resolver.caltech.edu/CaltechETD:etd12082005110043 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  4857 
Collection:  CaltechTHESIS 
Deposited By:  Imported from ETDdb 
Deposited On:  08 Dec 2005 
Last Modified:  26 Dec 2012 03:12 
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