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

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

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 fo...

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Main Author: Philippou, Demetrius
Format: Others
Published: 1964
Online Access:https://thesis.library.caltech.edu/3989/1/Philippou_d_1964.pdf
Philippou, Demetrius (1964) Near minimum energy trajectories in the two fixed force-center problem. Engineer's thesis, California Institute of Technology. doi:10.7907/ZXGH-NV43. https://resolver.caltech.edu/CaltechETD:etd-10092002-154746 <https://resolver.caltech.edu/CaltechETD:etd-10092002-154746>
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spelling ndltd-CALTECH-oai-thesis.library.caltech.edu-39892019-12-21T03:04:46Z Near minimum energy trajectories in the two fixed force-center problem Philippou, Demetrius 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. 1964 Thesis NonPeerReviewed application/pdf https://thesis.library.caltech.edu/3989/1/Philippou_d_1964.pdf https://resolver.caltech.edu/CaltechETD:etd-10092002-154746 Philippou, Demetrius (1964) Near minimum energy trajectories in the two fixed force-center problem. Engineer's thesis, California Institute of Technology. doi:10.7907/ZXGH-NV43. https://resolver.caltech.edu/CaltechETD:etd-10092002-154746 <https://resolver.caltech.edu/CaltechETD:etd-10092002-154746> https://thesis.library.caltech.edu/3989/
collection NDLTD
format Others
sources NDLTD
description 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.
author Philippou, Demetrius
spellingShingle Philippou, Demetrius
Near minimum energy trajectories in the two fixed force-center problem
author_facet Philippou, Demetrius
author_sort Philippou, Demetrius
title Near minimum energy trajectories in the two fixed force-center problem
title_short Near minimum energy trajectories in the two fixed force-center problem
title_full Near minimum energy trajectories in the two fixed force-center problem
title_fullStr Near minimum energy trajectories in the two fixed force-center problem
title_full_unstemmed Near minimum energy trajectories in the two fixed force-center problem
title_sort near minimum energy trajectories in the two fixed force-center problem
publishDate 1964
url https://thesis.library.caltech.edu/3989/1/Philippou_d_1964.pdf
Philippou, Demetrius (1964) Near minimum energy trajectories in the two fixed force-center problem. Engineer's thesis, California Institute of Technology. doi:10.7907/ZXGH-NV43. https://resolver.caltech.edu/CaltechETD:etd-10092002-154746 <https://resolver.caltech.edu/CaltechETD:etd-10092002-154746>
work_keys_str_mv AT philippoudemetrius nearminimumenergytrajectoriesinthetwofixedforcecenterproblem
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