Worksheet
Data Analysis #7
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Chart #7
Formula
y-axis
variable
x-axis
variable
solved
equation
slope
Kepler's 3rd Law
T
^{2}
r
^{3}
#1
#2
slope = 9.89 x 10
^{-14}
intercept = -2.31 x 10
^{6}
r represents the satellite's orbital radius
T represents the satellite's orbital period
G = 6.67 x 10
^{-11}
Nm
^{2}
/kg
^{2}
M represents the mass of the Earth
#1
#2
According to the slope of the line, what is the mass of the Earth?
If the Earth's actual mass is recorded as 5.98 x 10
^{24}
kg, what is the accuracy of this data?
Using the equation of the line for this data, interpolate the orbital radius of a satellite that takes one day, or 24 hours, to make one revolution around the Earth.
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