Introduction to solar motion geometry on the basis of a simple model

By means of a simple mathematical model developed by the authors, the apparent movement of the Sun can be studied for arbitrary latitudes. Using this model, it is easy to gain insight into various phenomena, such as the passage of the seasons, dependences of position and time of sunrise or sunset on a specific day of year, day duration for different latitudes and seasons, and time dependence of the solar altitude reckoned from the horizontal plane. We present simulations of the Sun path alongside animated data. We show that the model adopted can also be used to explain the principle of a horizontal sundial and to determine shadow areas. We give recommendations as regards how to build energy-effective houses and how to optimize solar cell positions.

[1]  H. Higton Does using an instrument make you mathematical? Mathematical practitioners of the 17th century. , 2001, Endeavour.

[2]  P. R. Sabady,et al.  The solar house , 1978 .

[3]  A. D. Ambrosis,et al.  Studying the physical basis of global warming: thermal effects of the interaction between radiation and matter and greenhouse effect , 2010 .

[4]  Guohui Gan,et al.  A parametric study of Trombe walls for passive cooling of buildings , 1998 .

[5]  J. Thornes,et al.  Solar position within Monet's Houses of Parliament , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[6]  M. Rees,et al.  The anthropic principle and the structure of the physical world , 1979, Nature.

[7]  Howard Isaacson,et al.  Kepler Planet-Detection Mission: Introduction and First Results , 2010, Science.

[8]  M. Lockwood Solar change and climate: an update in the light of the current exceptional solar minimum , 2010, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[9]  A. Hobson The plausibility of global warming , 2010 .

[10]  V. V. Tyagi,et al.  PCM thermal storage in buildings: A state of art , 2007 .

[11]  Peter Huybers,et al.  Early Pleistocene Glacial Cycles and the Integrated Summer Insolation Forcing , 2006, Science.

[12]  R. Ros Solar and lunar demonstrators , 2009 .

[13]  Allan Mills Robert Hooke's ‘universal joint’ and its application to sundials and the sundial-clock , 2007, Notes and Records of the Royal Society.