Using Kepler's laws of planetary motion, we can derive the following expression for a circular orbit: where T2 = 4π²a³ .3 fl Torbital period a= orbital radius in km = distance from the center of the earth to the orbit = Kepler's constant = 3.986004418 x 105 km³/s² The earth rotates once per sidereal day of 23 h 56 min 4.09 s (a) Determine the orbital radius of a GEO satellite (b) Assuming an earth radius of 6 370 km what is the orbit height h (1)
Using Kepler's laws of planetary motion, we can derive the following expression for a circular orbit: where T2 = 4π²a³ .3 fl Torbital period a= orbital radius in km = distance from the center of the earth to the orbit = Kepler's constant = 3.986004418 x 105 km³/s² The earth rotates once per sidereal day of 23 h 56 min 4.09 s (a) Determine the orbital radius of a GEO satellite (b) Assuming an earth radius of 6 370 km what is the orbit height h (1)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 97E
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