Explanation Given information: Minimum distance between the comet and the sun = 1 2 r E . Mean distance from the sun to earth. r E = 150 × 10 6 k m . Periodic time of the comet = 76 y e a r s . Concept used: If the trajectory is an elliptical orbit. 1 r 0 + 1 r 1 = 2 G M h 2 r 0 − Minimum distance from the center of the earth r 1 − Maximum distance from the center of the earth G − Universal gravitational constant M − Mass of the earth h − Angular momentum per unit mass Periodic time ( τ ) τ = 2 π a b h a = 1 2 ( r 0 + r 1 ) b = r 0 r 1 r 0 − Minimum distance from the center of the earth r 1 − Maximum distance from the center of the earth h − Angular momentum per unit mass Calculation: g = 9.81 m s − 2 R E a r t h = 6.37 × 10 6 m Radius at the closet point to the sun. r 0 = 1 2 r E r E = 150 × 10 6 k m r 0 = 1 2 × 150 × 10 9 m = 75 × 10 9 m Since. M S u n = 332.8 × 10 3 × M E a r t h and G M E a r t h = g R E a r t h 2 . G M S u n = 332.8 × 10 3 × G M E a r t h G M S u n = 332.8 × 10 3 × g R E a r t h 2 G M S u n = 332.8 × 10 3 × 9.81 m s − 2 × ( 6.37 × 10 6 m ) 2 G M S u n = 1.325 × 10 20 m 3 s − 2 Since the trajectory is an elliptical orbit

12th Edition

ISBN: 9781260265521

Author: BEER

Publisher: MCG

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Chapter 12.3, Problem 12.108P

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The maximum distance from the sun reached by the comet.

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Chapter 12.3, Problem 12.107P

Chapter 12.3, Problem 12.109P

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The maximum distance from the sun reached by the comet.

Solution Summary: The author calculates the maximum distance from the sun reached by the comet.

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