Universal Journal of Geoscience Vol. 5(2), pp. 33 - 39
DOI: 10.13189/ujg.2017.050203
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Numerical Model for the Orbit of the Earth


S. Karna 1,*, A. K. Mallik 2
1 Physics Department, Tri-Chandra M. Campus, Tribhuvan University, Nepal
2 Physics Department, Tribhuvan M. Campus, Tribhuvan University, Nepal

ABSTRACT

In this paper, we constructed a 3-D numerical model of the Earth-Sun geometry. Our model defines Earth's orbit as an inclined plane of spherically symmetric system. We calculated the degree of the tilt of the Earth orbit to the ecliptic plane by converting from ecliptic frame of reference to the orbital frame of reference and then we made all the measurement. Initial inputs of our model are aphelion and perihelion parameters. It is interesting to examine that our results obtained from Earth inclined orbit are same that observed value from Earth's circular orbit. In other words, values of the axial tilt of Earth and Sun, the time taken for the Sun to move from vernal equinox to autumnal equinox and then back to the vernal equinox does not change. Moreover, we were also able to derive mathematical relations for finding the length of the apparent solar days throughout the year. On introducing the new types of the length of the day, called Saurya day, the rate of precession of equinox is calculated.

KEYWORDS
Orbit of the Earth, Earth-Sun Geometry, Equinox, Perihelion, Aphelion, Rate of Precession

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] S. Karna , A. K. Mallik , "Numerical Model for the Orbit of the Earth," Universal Journal of Geoscience, Vol. 5, No. 2, pp. 33 - 39, 2017. DOI: 10.13189/ujg.2017.050203.

(b). APA Format:
S. Karna , A. K. Mallik (2017). Numerical Model for the Orbit of the Earth. Universal Journal of Geoscience, 5(2), 33 - 39. DOI: 10.13189/ujg.2017.050203.