problem12_49

University Physics with Modern Physics with Mastering Physics (11th Edition)

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12.49: a) The simplest way to approach this problem is to find the force between the spacecraft and the center of mass of the earth-moon system, which is m 10 67 . 4 6 × from the center of the earth. The distance from the spacecraft to the center of mass of the earth-moon system is 3.82 m. 10 8 × Using the Law of Gravitation, the force on the spacecraft is 3.4 N, an angle of ° 61 . 0 from the earth-spacecraft line. This equilateral triangle arrangement
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Unformatted text preview: of the earth, moon and spacecraft is a solution of the Lagrange Circular Restricted Three-Body Problem. The spacecraft is at one of the earth-moon system Lagrange points. The Trojan asteriods are found at the corresponding Jovian Lagrange points. or , is work The b) m 10 3.84 kg) kg)(1250 10 35 . 7 kg 10 97 . 5 )( kg / m N 10 673 . 6 8 22 24 2 2 11 × × + × ⋅ ×--=-= r GMm W J. 10 31 . 1 9 ×-= W...
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