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k-rod AP 2010
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Homework Statement
An explorer plans a mission to place a satellite into a circular orbit around Jupiter, the radius of the planned orbit would be R.
a)The explorer wants the satellite to be sychronized w/ Jupiter's rotation. Determine the required orbital radius in meters.
b) What must the orbital speed of this satellite be in order to maintain this orbital period?
Homework Equations
RJ=7.14x107m
MJ=1.9x1027kg
Jupter's rotational period=3.55x104s
[tex]G\ =\ 6.673(10)\ \times\ 10^{-11}\ m^{3} kg^{-1} s^{-2}[/tex]
The Attempt at a Solution
a) T=√(4π2R3/GMJ)
3.55x104s=√(4π2R3/GMJ)
R=1.59374x108 m
b)v=√(GMJ/R)
v=√(GMJ/1.59374x108 m)
v=28207.7 m/s
arm I following the correct procedure on these problems? i am trying to get a handle on this planetary motion stuff and i am not sure if i have yet.