Physics 1 Problem Solutions 136

Physics 1 Problem Solutions 136 - 132 Chapt 14 Gravity c...

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132 Chapt. 14 Gravity c) Derive the formula for the radius r as a function of period P . d) Find the radius of a geostationary satellite orbit in meters, kilometers, and Earth radii. The radius is measured from the Earth center recall. Note that G = 6 . 67428(67) × 10 11 N m 2 / kg 2 in MKS units, the mass of the Earth is 5 . 9736 × 10 24 kg, and the equatorial radius of the Earth is 6378 . 1 km. 014 qfull 00720 2 5 0 moderate thinking: Ida and Dactyl Extra keywords: (HRW-319) 5. The spacecraft Galileo was orbiting Jupiter and on its last legs circa 2002. But in 1993 on its way to Jupiter, it made a flyby of asteroid 243 Ida and discovered Ida had a small moon which has been named Dactyl. (The 243 means Ida was the 243rd asteroid discovered: asteroid mass tends to decrease as asteroid number increases. The name Ida is probably for the mountain overlooking Troy where Paris made his ill-fated choice. Dactyl was so called probably because it means finger or toe in Greek rather than for the prosodic foot dactyl: ´ ˘ ˘ .) Ida is about 55 km along its long axis and about 22 km along it’s short axis as seen in projection. It is a
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