Parabolic Type of the Motion of Moon in the Cyclic Orbit Appearing Associated With the Earth during Revolution

N.C. Pandey¹

Section:Research Paper, Product Type: Journal-Paper
Vol.8 , Issue.6 , pp.6-12, Dec-2020

Online published on Dec 31, 2020

Copyright © N.C. Pandey . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
An exhibition of the orbitary motion of the moon associated with the earth is derived. The revolutionary movement of both the earth and the moon present in the ecliptic orbit of the earth in association around the sun is helpful in obtaining the mechanism of the actual path of the moon. In the solar system, the earth has to remain in the elliptical orbit around the sun under its gravitational attractive force. While the moon’s orbit is decided by the gravitational force acting at the same time mutually by the sun, and earth. The gravitational force acted by the sun is responsible for giving an elliptical velocity to the moon to travel behind the earth. In contrast, the gravitational force of earth is responsible for its movement circularly. Both these types of motions are simultaneously imposed on the moon. Because the earth also moves in its orbit. Therefore, the line of gravitational force acting at the resultant position of the moon will go on changing throughout the whole motion. Thus, the moon only follows the earth for remaining associated behind by revolving in a cyclic path in design. The resulted locus of motion is evidenced to occur by repeating a successive parabolic type of path for completing a full cyclic orbit. The distance of the moon in perigee and apogee positions is related with the parabolic type of motion associated with the earth. The extra distance traveled by the moon to follow the earth via going through the cyclic orbit is accomplished with the displacement provided by the vertical component of orbital velocity. This component of velocity is assessed by Newtonian mechanics and is found to be entirely responsible for carrying the moon vertically displaced from the orbit of the ecliptic into the cyclic orbit. The ecliptic velocity provided by the gravity of sun ever remains unchanged with the moon and plays the active role of horizontal component of orbital velocity necessarily required for displacing the moon behind the earth during the whole motion.

Key-Words / Index Term :
Revolutionary motion, gravitational force, ecliptic, cyclic orbit, acceleration and retardation, parabolic motion, circular and elliptical motion, resolution of velocity and acceleration, sun, earth and moon

References :
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