Positioning technology based on the shadow of the Sun

DOI

10.2991/mmebc-16.2016.132How to use a DOI?

Keywords

Sun elevation angle; the least square method; over-determined equation; fitting

Abstract

The mathematical problem of the changes of the shadow length of the straight bar according to the passage of time can be solved by transforming the problem to solve the sun elevation angle corresponding to the time. The sun elevation angle is determined by the local time and Sun's declination. By using the formula of sun elevation angle and the measuring time and the local latitude and longitude, the Shadow length variation curve can be drawn. Then, a general form of equation can be achieved by fitting the Shadow length variation curve and the coefficient of the fitting curve can be solved by using the collected measuring data. The minimum shadow length can be found and the corresponding time which means the local time at noon can be recorded. So that the longitude can be solved. The measuring data can be used to construct the over-determined equation, the local latitude can be solved by the least square method. This positioning technology can be used widely in daily life.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Yumeng Wang
PY  - 2016/06
DA  - 2016/06
TI  - Positioning technology based on the shadow of the Sun
BT  - Proceedings of the 2016 6th International Conference on Machinery, Materials, Environment, Biotechnology and Computer
PB  - Atlantis Press
SP  - 619
EP  - 622
SN  - 2352-5401
UR  - https://doi.org/10.2991/mmebc-16.2016.132
DO  - 10.2991/mmebc-16.2016.132
ID  - Wang2016/06
ER  -