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The Circle will Now be Closed, Finally (On the Inability to Adapt Circular Motion to Arbitrary Motions)

Jochim, Fritz (2015) The Circle will Now be Closed, Finally (On the Inability to Adapt Circular Motion to Arbitrary Motions). The journal of space operations & communicator, 12 (2), pp. 1-21. ISSN 2410-0005

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Official URL: http://opsjournal.org/

Abstract

The description of the motion of the Sun, Moon, stars, planets and satellites was originally based on a model of circular uniform motion. Improved observational methods re­quired an improved model which was found by superposition of different circles, each trav­ersed by uniform motion. Copernicus seems to have been the first (or at least one of the first) to have recognized that the planets do not move in a circle. The new curve to be adapted to planetary motion was found by Kepler. Based on a general theory of adaptation of any motion as a consequence of the method of the variation of parameters, the present paper shows that the circle is the only curve which is not able to be adapted to any general motion.

Item URL in elib:https://elib.dlr.de/95875/
Document Type:Article
Title:The Circle will Now be Closed, Finally (On the Inability to Adapt Circular Motion to Arbitrary Motions)
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Jochim, Fritzfritz.jochim (at) dlr.deUNSPECIFIED
Date:7 April 2015
Journal or Publication Title:The journal of space operations & communicator
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:12
Page Range:pp. 1-21
Editors:
EditorsEmail
UNSPECIFIEDAIAA
ISSN:2410-0005
Status:Published
Keywords:Circular motion, superposed circular motion, Hansen Ideal coordinates, Hansen system, Leibniz system, Lagrange constraint, method of variation of parameters, general Fre­net formulae, general Darboux vector, system proper motion vector, Fourier expansion
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Earth Observation
DLR - Research area:Raumfahrt
DLR - Program:R EO - Erdbeobachtung
DLR - Research theme (Project):R - Vorhaben Sicherheitsrelevante Erdbeobachtung
Location: Oberpfaffenhofen
Institutes and Institutions:Microwaves and Radar Institute > Reconnaissance and Security
Deposited By: Neff, Thomas
Deposited On:13 Apr 2015 09:18
Last Modified:01 Dec 2018 19:51

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