Oblateness-perturbed orbits by velocity correspondence variations
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Authors
Bleick, Willard Evan
Subjects
Advisors
Date of Issue
1966
Date
4/20/1966
Publisher
Monterey, CA; Naval Postgraduate School
Language
en_US
Abstract
This paper presents an elementary treatment of the first order differential effects of the earth's oblateness on a close satellite using the simple notion of a varied orbit. The usual result of this approach is that the radial variation contains a secular term which is unbounded for infinite time. The standard method of celestial mechanics for removing this difficulty is to analyse the perturbed orbit as an ellipse whose shape and space orientation are functions of time. It is shown here that the secular term may be avoided more simply by relating points on the varied and unvaried orbits by a type of radial velocity correspondence instead of the usual time correspondence, and by making the varied orbit osculate at a latus rectum chord end point of the unvaried orbit.
Type
Technical Report
Description
Series/Report No
Department
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Naval Postgraduate School (U.S.) [Technical report/] Research paper ; no. 65.
Sponsors
Funder
Format
18 p. : ill. ; 28 cm.
Citation
Distribution Statement
Rights
This 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.