- #1
ThenewKid
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1. Two satellites are orbiting around Earth. One satellite has a period of 1.4hours and
is 200km above Earths surface. The other satellite has a period of 6.0h. Use Kepler's laws
and the fact the radius of Earth is 6.37 x 10^6meters to determine the height of the second satellite above Earths surface.
2. Keplers Third Law: (Ta/Tb)^2 = (Ra/Rb)^3
Fg=Gm1m2/r2
G=6.67x10^-11 Nm^2/kg^2
Msv2/r = GMeMs/r^2
g=Fg/m
g=9.80N/kg
g=GMe/Re^2
3. Ok first I know that Fg is equal to Fc, but I don't know the equation to find out Fc.
So I just decided to attempt to find out the period but dividing 6hours by 1.4hours and using that number (4.29 rounded) multipled it with 200km and got 858km. I then used
858km as the height of the 2nd satellite above the Earths surface. I also calculated the velocity of satellite one, which is 7.79 x 10^3 m/s (or just 7.8m/s) Now, since I am doing a long distance course and not good at all at algrebra, and the lack of good example question within the textbook and coursebook to go on, I stumped. The answer I have cannot be worth 5 marks from the work I've shown, but I just can't find any way to prove how my answer is correct with so little to go on.
is 200km above Earths surface. The other satellite has a period of 6.0h. Use Kepler's laws
and the fact the radius of Earth is 6.37 x 10^6meters to determine the height of the second satellite above Earths surface.
2. Keplers Third Law: (Ta/Tb)^2 = (Ra/Rb)^3
Fg=Gm1m2/r2
G=6.67x10^-11 Nm^2/kg^2
Msv2/r = GMeMs/r^2
g=Fg/m
g=9.80N/kg
g=GMe/Re^2
3. Ok first I know that Fg is equal to Fc, but I don't know the equation to find out Fc.
So I just decided to attempt to find out the period but dividing 6hours by 1.4hours and using that number (4.29 rounded) multipled it with 200km and got 858km. I then used
858km as the height of the 2nd satellite above the Earths surface. I also calculated the velocity of satellite one, which is 7.79 x 10^3 m/s (or just 7.8m/s) Now, since I am doing a long distance course and not good at all at algrebra, and the lack of good example question within the textbook and coursebook to go on, I stumped. The answer I have cannot be worth 5 marks from the work I've shown, but I just can't find any way to prove how my answer is correct with so little to go on.
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