Find the orbital speed of a satellite in a geosynchronous circular orbit 3.45×107 m above the surface of the Earth.
Find the orbital speed of a satellite in a geosynchronous circular orbit 3.45×107 m above the...
For communications purposes, satellites are typically placed in a circular geosynchronous orbit. If the orbit is in the equatorial plane of the Earth, it is called geostationary. A satellite’s orbital speed in a geostationary orbit is set to match the angular velocity Ωe of the rotating Earth (with mass M), so that as seen from the Earth the satellite is stationary above a fixed point on the Equator. For a satellite of mass m in a geostationary circular orbit then...
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...
a satellite in a geosynchronous orbit remains above the same point on Earth 2. A satellite in a geosynchronous orbit remains above the same point on Earth provided it orbits in the equatorial plane in the same direction as Earth's rotation. (a) Calculate the speed of a satellite in such an orbit. (b) Calculate the total energy of a satellite in such an orbit.
Consider a satellite of mass m moving in a circular orbit around the Earth at a constant speed v and at an altitude h above the Earth's surface as illustrated in the figure. (a) Determine the speed of the satellite in terms of G, h, Re (the radius of the Earth), and Me (the mass of the Earth). (b) If the satellite is to be geosynchronous (that is, appearing to remain over a fixed position on the Earth), how fast...
What must be the orbital speed of a satellite in a circular orbit 270 km above the surface of the moon? Answer in km/s
4. Consider a satellite of mass m moving in a circular orbit around the Earth at a constant speed v and at an altitude h above the Earth's surface as illustrated in the figure. (a) Determine the speed of the satellite in terms of g, h, Re (the radius of the Earth), and Me (the mass of the Earth). (b) If the satellite is to be geosynchronous (that is, appearing to remain over a fixed position on the Earth), how...
A satellite of mass 42.5 kg in geosynchronous orbit at an altitude of 3.58 ✕ 104 km above the Earth's surface remains above the same spot on the Earth. Assume its orbit is circular. Find the magnitude of the gravitational force exerted by the Earth on the satellite. Hint: The answer is not 417 N
A satellite is in orbit about Earth. Its orbital radius is 5.56×107 m. The mass of the satellite is 8541 kg and the mass of Earth is 5.974×1024 kg. Determine the orbital speed of the satellite in mi/s. 1 mi/s = 1609 m/s.
A satellite with mass 748 kg is in a circular orbit with an orbital speed of 9040 m/s around the earth. What is the new orbital speed after friction from the earth's upper atmosphere has done -7.5×109 J of work on the satellite? Express your answer with the appropriate units.
Exercise 13.19 Part A For a satellite to be in a circular orbit 800km above the surface of the earth, what orbital speed must it be given? Part B What is the period of the orbit (in hours)?