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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/ | ||||||||
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| Document Type: | Article | ||||||||
| Title: | The Circle will Now be Closed, Finally (On the Inability to Adapt Circular Motion to Arbitrary Motions) | ||||||||
| Authors: |
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| 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: |
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| 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 - Earth Observation | ||||||||
| DLR - Research theme (Project): | R - Security-relevant Earth Observation | ||||||||
| 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: | 28 Mar 2023 23:43 |
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