Class Homework 5 Begin Date: 2/15/2018 12:00:00 AM-Due Date: 3/5/2018 11:59:00 P
ID: 1874482 • Letter: C
Question
Class Homework 5 Begin Date: 2/15/2018 12:00:00 AM-Due Date: 3/5/2018 11:59:00 PM End Date: 3/5/2018 11:59:00 PM (496) Problem 18: A geosynchronous Earth satellite is one that has an orbital period of precisely 1 day. Such orbits are useful for communication and weather observation because the satellite remains above the same point on Earth (provided it orbits in the sunarh1.496x 10* equatorial plane in the same direction as Earth's rotation). 3.84x 10 101x1019 3.35x 1024 3.35x 1024 1.86 4.22x103 0.00485 (1.77d) 3.19x 10 6.71x10 Ganymede 1.07x 10 0.0196 (7.16 d) 3.19 1.88x 10 Ctheexpertta.com P à Calculate the radius of such an orbit based on the data for the moon in the figure in km. Deductions 100% cotan asin acos atan0 acotan sinhO ailed view . DegreesRadians HintExplanation / Answer
from Kepler's Third law :-
(T^2 / D#)_a = (T^2 / D^3)_b
If a is the moon, the table gives us T^2 / D^3 = 1 / 1.01 x 10^19km^3/y^2,
1 / (1.01 x 10^19 km^3/y^2) = (1day*1y / 365.25day)^2 / D^3
D^3 = 7.57 x 10^13 km^3
D = 42300 km radius of geosynchronous orbit