Consider a geosynchronous satellite with an orbital period of 24 h. (a) What is the satellite’s speed in orbit? (b) What speed must the satellite reach during launch to attain the geosynchronous orbit? (Assume all fuel is burned in a short period. Neglect air resistance.)
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Consider a geosynchronous satellite with an orbital period of 24 h.
(a) What is the satellite’s speed in orbit?
(b) What speed must the satellite reach during launch to attain the geosynchronous orbit? (Assume all fuel is burned in a short period. Neglect air resistance.)
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- A satellite of mass m (where m ≪ Me) is initially in a circular orbit around the Earth at a height of 410 km above the Earth’s equator. Its operators would like to move it into a geosynchronous orbit using a Hohmann transfer orbit. Assume a spherical Earth with radius 6371 km. (a) Sketch the satellite’s Hohmann transfer orbit. (b) Find the satellite’s initial (circular) orbital speed according to an inertial observer. (c) Find the maximum height of the satellite above the Earth’s surface when it is on its Hohmann transfer orbit. (d) How much does the satellite’s initial speed need to be increased to place it on its Hohmann transfer orbit?(a) Calculate the space station’s gravitational potential energy. (b) China’s first space satellite was launched in 1970 and orbited Earth once every 110 minutes. Calculate the altitude of a circular orbit with a period of 110 minutes.A satellite orbits the earth at a height of 6350 x 1 km from the center of the earth, in a circular orbit. It is desired to place this satellite in an orbit one hundred times greater, to achieve this efficiently it first moves to an auxiliary elliptical orbit. Find the velocity of the satellite in the circular orbit (point P). radius of the earth = 6000 km, mass of the earth = 10^24 Kg, gravitational constant = 6x10^-11 Nm^2Kg^-2
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