CaltechTHESIS
  A Caltech Library Service

Near minimum energy trajectories in the two fixed force-center problem

Citation

Philippou, Demetrius (1964) Near minimum energy trajectories in the two fixed force-center problem. Engineer's thesis, California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-10092002-154746

Abstract

The class of symmetric orbits with near minimum energy which originate very close to the earth and pass very close to a fixed moon of small mass are studied using asymptotic methods. An exact solution for the orbit is found using Bonnet's Theorem. This is an ellipse with the force centers as foci. Results obtained from the approximate solution are seen to agree exactly with the predictions of Bonnet's Theorem. The solutions thus obtained are the periodic solutions. A one dimensional study is undertaken as a guide to the planar problem.

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):
  • Unknown, Unknown
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1964
Record Number:CaltechETD:etd-10092002-154746
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-10092002-154746
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3989
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:10 Oct 2002
Last Modified:26 Dec 2012 03:04

Thesis Files

[img]
Preview
PDF (Philippou_d_1964.pdf) - Final Version
See Usage Policy.

1298Kb

Repository Staff Only: item control page