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Sagot :
The radius of the orbit of a geosynchronous satellite is R = 1.932 x 10⁸ m
This question involves the concepts of the time period, orbital radius, and gravitational constant.
given, G = 6.671011 N.m2/kg2 (gravitational constant)
Earth's mass = 5.98 x 1024 Kg
Earth's radius is 6.38 x 106 m.
equating the satellite's gravitational force with the centripetal force acting on it
where R = v and T = 84600 sec
so, R = 1.932 x 10⁸ m
What is geosynchronous satellite?
A geosynchronous satellite is one that has an orbital period equal to that of the Earth's rotation and is in a geosynchronous orbit. After each sidereal day, a satellite of this type returns to the same location in the sky and, over the course of a day, carves out a route in the sky that is often some kind of analemma. The geostationary satellite, which has a geostationary orbit, a circular geosynchronous orbit straight over the Earth's equator, is a specific case of a geosynchronous satellite. The Tundra elliptical orbit is another type of geosynchronous orbit utilized by satellites.
What is gravitational force?
All objects with mass attract each other with a force known as gravitational attraction. It is especially noticeable in massive astronomical objects like the Sun, Earth, and Moon. The reason for this is that the force is proportional to the product of the masses of the objects. Gravitational force is what propels the planets around the Sun and the Moon around the Earth. Humans exert force on each other, but it is insignificant due to their small masses.
Because there is no contact between the objects, gravitational force is non-contact. It is centripetal because it is aimed at the center of the orbit in which the object moves. It is in charge of keeping the body in orbit.
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