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8. Lagrange points are positions in space where objects sent there tend to stay put. At Lagrange points, the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them. The James Webb Space Telescope will be launched into an orbit about the second Lagrange (L2) point in the Earth-Sun system. L3 Mo Ro -- Me L2 Li n Consider the following arrangement with Earth (mass: Me, distance from the sun: Ro) and Sun (mass: Mo). Calculate the distances r₁ and r2 of the Lagrange points L₁ and L2 from Earth, given that ri << Ro and Me « Mo. Neglect the force of gravity of the moon, and the Coriolis force. Ме A. Ro 3Mo B. Rol 3M 3 4Mo C. 12 = Ro D. 12 =Ro 4Me 3 3M Me 3 3Mo Lagrange points are positions in space where objects sent there tend to stay put. At Lagrange points, the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them. The James Webb Space Telescope will be launched into an orbit about the second Lagrange (L2) point in the Earth - Sun system. Consider the following arrangement with Earth (mass: M, distance from the sun: R ) and Sun (mass: M ). Calculate the distances r, and 2 of 0. the Lagrange points L, and L2 from Earth, given that r, <

8. Lagrange points are positions in space where objects sent there tend to stay put. At Lagrange points, the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them. The James Webb Space Telescope will be launched into an orbit about the second Lagrange (L2) point in the Earth-Sun system. L3 Mo Ro -- Me L2 Li n Consider the following arrangement with Earth (mass: Me, distance from the sun: Ro) and Sun (mass: Mo). Calculate the distances r₁ and r2 of the Lagrange points L₁ and L2 from Earth, given that ri << Ro and Me « Mo. Neglect the force of gravity of the moon, and the Coriolis force. Ме A. Ro 3Mo B. Rol 3M 3 4Mo C. 12 = Ro D. 12 =Ro 4Me 3 3M Me 3 3Mo Lagrange points are positions in space where objects sent there tend to stay put. At Lagrange points, the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them. The James Webb Space Telescope will be launched into an orbit about the second Lagrange (L2) point in the Earth - Sun system. Consider the following arrangement with Earth (mass: M, distance from the sun: R ) and Sun (mass: M ). Calculate the distances r, and 2 of 0. the Lagrange points L, and L2 from Earth, given that r, <

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8. Lagrange points are positions in space where objects sent there tend to stay put. At Lagrange points, the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them. The James Webb Space Telescope will be launched into an orbit about the second Lagrange (L2) point in the Earth-Sun system. L3 Mo Ro -- Me L2 Li n Consider the following arrangement with Earth (mass: Me, distance from the sun: Ro) and Sun (mass: Mo). Calculate the distances r₁ and r2 of the Lagrange points L₁ and L2 from Earth, given that ri << Ro and Me « Mo. Neglect the force of gravity of the moon, and the Coriolis force. Ме A. Ro 3Mo B. Rol 3M 3 4Mo C. 12 = Ro D. 12 =Ro 4Me 3 3M Me 3 3Mo
Transcribed Image Text:8. Lagrange points are positions in space where objects sent there tend to stay put. At Lagrange points, the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them. The James Webb Space Telescope will be launched into an orbit about the second Lagrange (L2) point in the Earth-Sun system. L3 Mo Ro -- Me L2 Li n Consider the following arrangement with Earth (mass: Me, distance from the sun: Ro) and Sun (mass: Mo). Calculate the distances r₁ and r2 of the Lagrange points L₁ and L2 from Earth, given that ri << Ro and Me « Mo. Neglect the force of gravity of the moon, and the Coriolis force. Ме A. Ro 3Mo B. Rol 3M 3 4Mo C. 12 = Ro D. 12 =Ro 4Me 3 3M Me 3 3Mo
Lagrange points are positions in space where objects sent there tend to stay put. At Lagrange points, the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them. The James Webb Space Telescope will be launched into an orbit about the second Lagrange (L2) point in the Earth - Sun system. Consider the following arrangement with Earth (mass: M, distance from the sun: R ) and Sun (mass: M ). Calculate the distances r, and 2 of 0. the Lagrange points L, and L2 from Earth, given that r, <<Ro. and M <<M Neglect the 0+ force of gravity of the moon, and the Coriolis force. M A. r R (- 1 0+ 0.3M 1 B. ₁ 1 =R (- 0. 1 3M 0+ 3 4M 1 4M 3 C.=R C.₂ =RG 2 D. ₂ =R 2 0.3M 0. 1 M 0+ 3 o. 3M Option A, D are correct. 8. Lagrange points are positions in space where objects sent there tend to stay put. At Lagrange points, the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them. The James Webb Space Telescope will be launched into an orbit about the second Lagrange (L) point in the Earth-Sun system. Ls Mo Re Me L₁ Consider the following arrangement with Earth (mass: Me, distance from the sun: Re) and Sun (mass: Mo). Calculate the distances r and ry of the Lagrange points L₁ and L₂ from Earth, given that r << Ro and Mo « Mo. Neglect the force of gravity of the moon, and the Coriolis force. Mo A. Ro 3M 3M B. r Rol C. Rol 4Me 3M Me D. Rob 3M
Transcribed Image Text:Lagrange points are positions in space where objects sent there tend to stay put. At Lagrange points, the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them. The James Webb Space Telescope will be launched into an orbit about the second Lagrange (L2) point in the Earth - Sun system. Consider the following arrangement with Earth (mass: M, distance from the sun: R ) and Sun (mass: M ). Calculate the distances r, and 2 of 0. the Lagrange points L, and L2 from Earth, given that r, <<Ro. and M <<M Neglect the 0+ force of gravity of the moon, and the Coriolis force. M A. r R (- 1 0+ 0.3M 1 B. ₁ 1 =R (- 0. 1 3M 0+ 3 4M 1 4M 3 C.=R C.₂ =RG 2 D. ₂ =R 2 0.3M 0. 1 M 0+ 3 o. 3M Option A, D are correct. 8. Lagrange points are positions in space where objects sent there tend to stay put. At Lagrange points, the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them. The James Webb Space Telescope will be launched into an orbit about the second Lagrange (L) point in the Earth-Sun system. Ls Mo Re Me L₁ Consider the following arrangement with Earth (mass: Me, distance from the sun: Re) and Sun (mass: Mo). Calculate the distances r and ry of the Lagrange points L₁ and L₂ from Earth, given that r << Ro and Mo « Mo. Neglect the force of gravity of the moon, and the Coriolis force. Mo A. Ro 3M 3M B. r Rol C. Rol 4Me 3M Me D. Rob 3M
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