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.
Highlights
The Solar system consists of the Sun, planets, satellites of the planets, numerous comets, asteroids, meteoroids and the interplanetary medium
The article is organized as follow: In Section 3, we describe our 3-D numerical model of the Earth-Sun geometry
C'E is taken as the imaginary center of the Earth of radius 6371 km., with its equator running along the equator of the Celestial Sphere, and the path followed by C'E in equatorial plane is the imaginary orbit of the Earth around the Sun
Summary
The Solar system consists of the Sun, planets, satellites of the planets, numerous comets, asteroids, meteoroids and the interplanetary medium. Planets and most of their (planet’s) satellites revolve in a nearly circular orbit around the Sun and at the same time, they rotate about their own axis. The aphelion (farthest) distance of the Earth is 1.016710 AU, and the perihelion (closest) distance is 0.983290 AU, where 1AU = 149,597,870.7 km. The mean distance between the Earth and Sun is 1AU [1]. Plane of the Earth's orbit is known as the ecliptic plane. The angle of cosine of ratios of mean distance to aphelion distance (θ1) and perihelion distance to mean distance (θ2) are as follows: Cos-1(1/1.016710) = Cos 10.402169o = Cosθ1⇒ θ1 = 10.402169o and Cos-1(0.983290/1) = Cos 10.488961o = Cosθ2⇒ θ2 = 10.488961o or, Mean value, θ= 10.445565o. We took the average value of θ1and θ2 for our further calculation
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