Question
The space shuttle is in a 200-mile-high orbit.
What is the shuttle's orbital period?
What is the shuttle's orbital period?
Answers
bobpursley
centripetal acceleration= gravatational acceleration
v^2/r=9.8 (radearth/radearth+200)^2
At this point, you have to convert some units, either to English, or SI
Lets go to SI
v^2=9.8 (radearth)^2/(radearth+3.21E5)
where radius earth is in meters.
V will be in m/sec
Now period is time for one revolution,
v= 2PI (radearth+3.21E5)/T
T= 2PI (radearth+3.21E5)/V
and you can do that.
v^2/r=9.8 (radearth/radearth+200)^2
At this point, you have to convert some units, either to English, or SI
Lets go to SI
v^2=9.8 (radearth)^2/(radearth+3.21E5)
where radius earth is in meters.
V will be in m/sec
Now period is time for one revolution,
v= 2PI (radearth+3.21E5)/T
T= 2PI (radearth+3.21E5)/V
and you can do that.