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Suppose a satellite located on the line joining the Earth and the Sun. The satellite is between the Earth and the Sun. The distance between the Earth and the Sun is R, the mass of the Earth is MT, and the mass of the Sun is MS » MT. Show that the approximate distance r from the Sun at which the satellite must be positioned for the gravitational pull of the Sun to cOunter ct the Aullof the Farth

Suppose a satellite located on the line joining the Earth and the Sun. The satellite is between the Earth and the Sun. The distance between the Earth and the Sun is R, the mass of the Earth is MT, and the mass of the Sun is MS » MT. Show that the approximate distance r from the Sun at which the satellite must be positioned for the gravitational pull of the Sun to cOunter ct the Aullof the Farth

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
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Suppose a satellite located on the line joining the Earth and the Sun. The satellite is between the Earth and the Sun. The distance between the Earth and the Sun is R, the mass of the Earth is MT, and the mass of the Sun is MS » MT. Show that the approximate distance r from the Sun at which the satellite must be positioned for the gravitational pull of the sun to counteract the pull of the Earth is: 1/3 MT r~ R – R - 3Ms, which includes the effect introduced by the rotation of the Earth around the Sun (that is, both the Earth as the satellite orbit around the Sun once a year).
Transcribed Image Text:Suppose a satellite located on the line joining the Earth and the Sun. The satellite is between the Earth and the Sun. The distance between the Earth and the Sun is R, the mass of the Earth is MT, and the mass of the Sun is MS » MT. Show that the approximate distance r from the Sun at which the satellite must be positioned for the gravitational pull of the sun to counteract the pull of the Earth is: 1/3 MT r~ R – R - 3Ms, which includes the effect introduced by the rotation of the Earth around the Sun (that is, both the Earth as the satellite orbit around the Sun once a year).
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