You are an astronaut in the space shuttle pursuing a satellite in need of repair. You are in a circular orbit of the same radius as the satellite (400 km above the Earth), but 25 km behind it. (a) How long will it take to overtake the satellite if you reduce your orbital radius by 1.0 km? (b) By how much must you reduce your orbital radius to catch up in 7.0 hours? Mass of Earth: 5.98x1024 kg, radius of Earth: 6.38×10 m, Universal Gravitation Constant: 6.67x10-1'N•m²/kg?

You are an astronaut in the space shuttle pursuing a satellite in need of repair. You are in a circular orbit of the same radius as the satellite (400 km above the Earth), but 25 km behind it. (a) How long will it take to overtake the satellite if you reduce your orbital radius by 1.0 km? (b) By how much must you reduce your orbital radius to catch up in 7.0 hours? Mass of Earth: 5.98x1024 kg, radius of Earth: 6.38×10 m, Universal Gravitation Constant: 6.67x10-1'N•m²/kg?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter13: Gravitation

Section: Chapter Questions

Problem 79AP: Given the perihelion distance, p , and aphelion distance, q , for an elliptical orbit, show that the...

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