TY  - JOUR
AU  - Avila, Ruben
AU  - Syed, Shoaib Raza
PY  - 2025
DA  - 2025/05/31
TI  - Calculation of Solar Position As Observed from Earth for Some Selected Cities in the Northern Hemisphere
JO  - Computational Environmental Heat Transfer
T2  - Computational Environmental Heat Transfer
JF  - Computational Environmental Heat Transfer
VL  - 1
IS  - 1
SP  - 19
EP  - 26
DO  - 10.62762/CEHT.2025.325632
UR  - https://www.icck.org/article/abs/CEHT.2025.325632
KW  - solar position
KW  - analemma
KW  - declination angle
KW  - azimuth angle
KW  - zenith angle
AB  - In our previous companion papers “On the elliptical orbit of the Earth and the position of the Sun in the sky: an engineering approach,” and “Calculation of solar trajectory in the sky and the solar analemma as observed from the earth,” published in The NUCLEUS, we presented the computational methodology for solar trajectory in the sky and solar analemmas (as observed from the earth surface) for New York city. In this paper, the methodology has been further elaborated and the results for solar position, as observed from earth, in the holy city of Mecca, Islamabad and Mexico city, have been presented. Orbital trajectory of the real earth, and that of an imaginary earth, as assumed in simple (clock time) calculations, are explained. This information is important for calculation of atmospheric temperatures and green energy applications. The position vector of an observer that rotates with the earth has been employed for observing the solar position at certain time of the day. A Cartesian coordinate system, whose origin is located at the center of the earth and subsequently transformed to a new system that rotates with the earth, has been used. The solar elevation angle and the solar azimuth angle are obtained by performing further transformations of the coordinate system. This later transformation was elaborated in the companion papers, mentioned above. The results obtained during this work depict several interesting features of the analemmas derived from solar position calculations for the whole year, and its dependence on the coordinates (latitude and longitude) of the observer on earth. It was evident from the results that the shapes of analemmas are quite similar for all locations. However, the abscissa and ordinates values vary significantly, corresponding to the latitude and longitude of the observer on earth.
SN  - 3068-5486
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 

@article{Avila2025Calculatio,
  author = {Ruben Avila and Shoaib Raza Syed},
  title = {Calculation of Solar Position As Observed from Earth for Some Selected Cities in the Northern Hemisphere},
  journal = {Computational Environmental Heat Transfer},
  year = {2025},
  volume = {1},
  number = {1},
  pages = {19-26},
  doi = {10.62762/CEHT.2025.325632},
  url = {https://www.icck.org/article/abs/CEHT.2025.325632},
  abstract = {In our previous companion papers “On the elliptical orbit of the Earth and the position of the Sun in the sky: an engineering approach,” and “Calculation of solar trajectory in the sky and the solar analemma as observed from the earth,” published in The NUCLEUS, we presented the computational methodology for solar trajectory in the sky and solar analemmas (as observed from the earth surface) for New York city. In this paper, the methodology has been further elaborated and the results for solar position, as observed from earth, in the holy city of Mecca, Islamabad and Mexico city, have been presented. Orbital trajectory of the real earth, and that of an imaginary earth, as assumed in simple (clock time) calculations, are explained. This information is important for calculation of atmospheric temperatures and green energy applications. The position vector of an observer that rotates with the earth has been employed for observing the solar position at certain time of the day. A Cartesian coordinate system, whose origin is located at the center of the earth and subsequently transformed to a new system that rotates with the earth, has been used. The solar elevation angle and the solar azimuth angle are obtained by performing further transformations of the coordinate system. This later transformation was elaborated in the companion papers, mentioned above. The results obtained during this work depict several interesting features of the analemmas derived from solar position calculations for the whole year, and its dependence on the coordinates (latitude and longitude) of the observer on earth. It was evident from the results that the shapes of analemmas are quite similar for all locations. However, the abscissa and ordinates values vary significantly, corresponding to the latitude and longitude of the observer on earth.},
  keywords = {solar position, analemma, declination angle, azimuth angle, zenith angle},
  issn = {3068-5486},
  publisher = {Institute of Central Computation and Knowledge}
}