Kepler's Third Law states that the ratio T/a³/2 is equal to a con- stant C for all planetary orbits around the sun, where T is the period (time for a complete orbit) and a is the semimajor axis. (a) Compute C in units of days and kilometers, given that the semi- major axis of the earth's orbit is 150 x 106 km. (b) Compute the period of Saturn's orbit, given that its semimajor axis is approximately 1.43 × 10º km.

Kepler's Third Law states that the ratio T/a³/2 is equal to a con- stant C for all planetary orbits around the sun, where T is the period (time for a complete orbit) and a is the semimajor axis. (a) Compute C in units of days and kilometers, given that the semi- major axis of the earth's orbit is 150 x 106 km. (b) Compute the period of Saturn's orbit, given that its semimajor axis is approximately 1.43 × 10º km.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 36E

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