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Models are starting to notice trof in the Gulf. Could become yet another TD-like system this weekend, even if not named. #txwx
Days since last H. Landfall - US: Any 333 (Nicholas) , Major: 349 (Ida) Florida - Any: 1403 (Michael) Major: 1403 (Michael)

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Geosynchronous Orbit:How to caculuate
      Fri Oct 22 2004 03:18 PM

I thought this might be of some interest, as it pretains to weather and I just finished a term paper on it.
We will use Kepler's third law

rs3/Ts2 = rm3/Tm2

where Ts = peroid of orbit of Satellite = 1 day
Tm = period of orbit of Moon = 27.3 days
rm = distance from center of Moon to center of Earth = 3.84 x 108 m
and rs = distance from Satellite to center of Earth

Solving: rs3/Ts2 = rm3/Tm2

for rs gives us

rs = rm (Tm/Ts)2/3

or rs = 0.11 rm


(a) the satellite is situated about
1/10 th of the distance to the moon

(b) rs = 0.11 rm = 42.35 x 106 m
and since R = 6.38 x 106 m
then the satellite is 6.64 earth radii from
the earth's centre or 5.64 earth radii above
the ground at the equator.

(c) its height above the ground is 5.64 R
or 5.64 6.38 x 106 m
or 35,970 km above the earth at the equator.
For those that don't feel that my artimetic is right, 2/3 means square it and then divide by the cube root of the squared. Looks pretty hard, but it isn't!

"I became insane with horrible periods of sanity"
Edgar Allan Poe

Edited by Keith234 (Fri Oct 22 2004 03:30 PM)

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