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3. A spacecraft orbiting the Earth is said to be in a geostationary orbit if it goes around the Earth in the plane of the
3. A spacecraft orbiting the Earth is said to be in a geostationary orbit if it goes around the Earth in the plane of the equator such that its orbital period (the time to complete one orbit is the same as the rotation period of the Earth (~ 24.0 hours). Thus, a spacecraft placed in geostationary orbit is able to stay over the same point on Earth's equator as the Earth rotates and the satellite orbits. (a) Calculate the distance from the center of the Earth of a 100. [kg] communications satellite in geostationary orbit by using Newton's Law of Gravity and the known (24.0 hour) period of the spacecraft. (b) If the satellite had a mass of 200. [kg], would it orbit closer to the Earth, further away from the Earth, or at the same distance from the Earth as the 100. [kg] satellite?3. A spacecraft orbiting the Earth is said to be in a geostationary orbit if it goes around the Earth in the plane of the equator such that its orbital period (the time to complete one orbit is the same as the rotation period of the Earth (~ 24.0 hours). Thus, a spacecraft placed in geostationary orbit is able to stay over the same point on Earth's equator as the Earth rotates and the satellite orbits. (a) Calculate the distance from the center of the Earth of a 100. [kg] communications satellite in geostationary orbit by using Newton's Law of Gravity and the known (24.0 hour) period of the spacecraft. (b) If the satellite had a mass of 200. [kg], would it orbit closer to the Earth, further away from the Earth, or at the same distance from the Earth as the 100. [kg] satellite
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