Show that the minimum energy required to launch a satellite of mass m from the surface of the earth in a circular orbit at an altitude h = R, where R is the %3D 3mgR where M is the mass of 4 radius of the earth is the earth.
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- In a geosynchronous orbit, a satellite stays above the same point on Earth because it takes exactly one day to go through one orbit of 2(pi) radians. If the radius of this orbit is 42,100 km, how fast is the satellite traveling around the Earth? pick the one equation and define the relevant knowns and single unknown.: Find kinetic energy, potential energy, total energy and binding energy of an artificial satellite orbiting at a height 3600 km above the surface of the earth. [Given: Mass of the earth = 6 x 1024 kg, radius of the earth = 6400 km mass of satellite = 10³ kg and G = 6.67 × 10-¹1 S.I. unit.A satellite moves in a circular orbit aroundthe Earth at a speed of 5.5 km/s.Determine the satellite’s altitude abovethe surface of the Earth. Assume theEarth is a homogeneous sphere of radius6370 km and mass 5.98 × 1024 kg. Thevalue of the universal gravitational constantis 6.67259 × 10−11 N · m2/kg2.Answer in units of km.
- How much energy is required to move a satellite of mass 1000 kg from the surface of the Earth to an altitude 3 times the radius of the Earth? Compute the energy in joules.Problem 3. A tracking station determines that an Earth-observation satellite has perigee and apogee altitudes of 350 and 1,206 km, respectively. Determine the orbital period (in minutes) and the parameter p.Macmillan Learning A planet is in an elliptical orbit around a distant star. At periastron (the point of closest approach to the star), the planet is rp = 3.90 × 108 km from the star and is moving with a speed of Up = 21.5 km/s. When the planet is at apastron (the point of greatest distance from the star), it is ra = 9.00 × 108 km from the star. "P Va = HH How fast is the planet moving at apastron? V km/s
- a) What is the total energy needed to place a 2.0 x 103 kg satellite into circular Earth orbit at an altitude of 5.0 x 102 km? b) How much additional energy would have to be supplied to the satellite once it was in orbit, to allow it to escape from Earth’s gravitational field?An object of mass m has an orbital radius R about a planet of mass M. Find the additional speed it would need from its orbit to escape to infinity with a zero final kinetic energy.