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An improved photographic method to estimate the shading effect of obstructions
Authors:Aldo Orioli  Alessandra Di Gangi
Affiliation:1. Planetary Science Institute, 1700 E Fort Lowell Rd., Suite 106, Tucson, AZ 85719, USA;2. Department of Physical Sciences, The Open University, Walton Hall, Milton Keynes MK7 6AA, UK;3. Applied Geology Department, Curtin University of Technology, GPO Box U1987, Perth, Western Australia 6845, Australia;4. Laboratoire de Météorologie Dynamique, Université Pierre et Marie Curie, Paris, France;5. Carl Sagan Center at the SETI Institute, 189 Bernardo Ave., Suite 100, Mountain View, CA 94043, USA;6. Department of Atmospheric, Oceanic and Space Sciences, Space Research Building, University of Michigan, 2455 Hayward St., Ann Arbor, MI 48109-2143, USA;7. Southwest Research Institute, 1050 Walnut St., Suite 400, Boulder, CO 80302, USA;8. Center for Earth and Planetary Studies, Smithsonian Institution, PO Box 37012, National Air and Space Museum, MRC 315, Washington, DC 20013-7012, USA;9. Centro de Astrobiología (CSIC/INTA), Instituto Nacional de Técnica Aeroespacial, Ctra de Torrejón a Ajalvir, km 4, 28850 Torrejón de Ardoz, Madrid, Spain;1. School of Electrical Engineering and Automation, Harbin Institute of Technology, West Da Zhi Street, No. 92, Harbin, 150001, China;2. Xingcheng Sanatorium of Shenyang Military Area Command, Xingcheng, 125105, China;1. Department of Geography, Beit Berl Academic College, Beit Berl, 44905 Doar Beit Berl, Israel;2. Department of Environmental Science and Agriculture, Beit Berl Academic College, Israel
Abstract:A new photographic method is presented to evaluate the shading effects of obstructions on surfaces exposed to the sun. The method overcomes the difficulties caused by the need to accurately describe the surrounding objects to estimate the shading effects by means of the usual tools that use the spatial reconstruction of obstructions or cylindrical or polar suncharts. The photographs of the surrounding objects are used as the background on which the solar disc is depicted at the various hours of the day. In this way it is easily detectable if the sun is visible from the place where the photographs were taken or if the surrounding obstructions obscure the sun.In spite of the complex mathematical background of the new method, the practical application of the procedure is very simple, and only requires the measurements of three angles for each photograph. The procedure permits to verify the suitability of a generic site for solar exploitation; its main benefit is the simplicity of use and the transparency of the obtained results. This method is particularly useful to evaluate the technical feasibility of small solar systems installed on the buildings of densely urbanised cities.The accuracy of the method was tested by performing an experimental verification in the field. For this purpose, the sun was photographed at different hours of the day. The photographed solar discs and the calculated sun’s positions were compared. The differences between the photographed and calculated sun’s positions corresponded to small time lags that do not exceed few minutes in the worst case. To further investigate the reliability of the proposed method, the impact of image distortion, which always affects all methods that use cameras to get information about the photographed reality, was also examined.
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