11.153 and 11.154 A satellite will travel indefinitely in a circular orbit around a planet if the normal component of the acceleration of the satellite is equal to g(R/r), where g is the acceleration of gravity at the surface of the planet, R is the radius of the planet, and r is the distance from the center of the planet to the satellite. Knowing that the diameter of the sun is 1.39 Gm and that the acceleration of gravity at its surface is 274 m/s?, determine the radius of the orbit of the indicated planet around the sun assuming that the orbit is circular. 11.153 Earth: (vmean)orbit 11.154 Saturn: (vmean)orbit 107 Mm/h. 34.7 Mm/h.
11.153 and 11.154 A satellite will travel indefinitely in a circular orbit around a planet if the normal component of the acceleration of the satellite is equal to g(R/r), where g is the acceleration of gravity at the surface of the planet, R is the radius of the planet, and r is the distance from the center of the planet to the satellite. Knowing that the diameter of the sun is 1.39 Gm and that the acceleration of gravity at its surface is 274 m/s?, determine the radius of the orbit of the indicated planet around the sun assuming that the orbit is circular. 11.153 Earth: (vmean)orbit 11.154 Saturn: (vmean)orbit 107 Mm/h. 34.7 Mm/h.
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Question
Determine the speed of a satellite relative to the indicated planet if the satellite is to travel indefinitely in a circular orbit 100 mi above the surface of the planet. (See information given in Probs. 11.153–11.154.)
Mars: g= 12.17 ft/s2, R= 2102 mi.
Reference to Problem 11.153-11.154:
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