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why is apx 36,000Km the orbit for geosynchronous satellites? Isn't any orbit (at the right speed) geosynchronous?

Date: 2003-10-21 06:48 am (UTC)
From: [identity profile] lostcarpark.livejournal.com
Ah, why didn't I think of that rather than trying to explain it myself?

Date: 2003-10-21 06:47 am (UTC)
From: [identity profile] lostcarpark.livejournal.com
I shall try to answer this, but there are probably greater scientific minds who'll do a better job.

Imagine an object travelling through space. Let's assume it's not expending any fuel, so it's speed and direction will stay the same. Now, lets imagine a large nearby planet-like object. Our original object will be pulled towards the planet-like object. Now, if it's not going fast enough, it will be pulled in by the planet's gravity and burn up in it's atmosphere. On the other hand, if the object is going too fast, it will shoot right past the planet and off into space.

But if the object is travelling at just the right speed, the planet's gravity will alter it's course at the same rate that it is moving in a perpendicular direction. This has the effect that the object will circle the planet at a fixed distance form the planet. It is especially interesting because it requires very little energy to maintain the orbet. (In a perfect universe, it would be possible to maintain a stable orbit without expending any energy. However, there are many factors such as the upper layers of the Earth's atmosphere, the gravitational effects of the moon and other bodies that affect the orbit and make course corrections necessary.)

However, the speed an object must be travelling at to orbit the Earth at a given distance is fixed. The further an object wishes to orbit from the Earth, the faster it must be travelling. However, as the circumfrance of the circle it traverses increases by a factor of Pi, the time it takes to traverse the orbit increases. At a distance of 36Mm the orbit takes 24 hours, which means that the satellite appears to stay at a fixed point in the sky.

While it would be possible for an object maintain a fixed point in the sky at any distance form the Earth, it could only do so by consuming large amounts of fuel. This could not be considered an "orbit", and any satellite we could produce with current technology would expend its fuel supply within hours.

Date: 2003-10-21 07:02 am (UTC)
From: [identity profile] sciamachy.livejournal.com
Also, the faster the object is travelling, the more centripetal force is required to keep the object going round in a circle instead of shooting off in a straight line - but at the same time, the further the object is from the Earth, the less effect the Earth's gravity has on the object. So there's actually only a fairly thin band where gravity is sufficient to keep the object going round the Earth, but not crashing into it.

Date: 2003-10-21 07:33 am (UTC)
From: [identity profile] sciamachy.livejournal.com
They stay put for a fair while - their orbit ends up decaying sometimes as has been previously stated elsewhere, because of the action of the moon's gravity, micro-meteorites, solar wind, and other such teeny-tiny forces that can have an effect over time. Hence they send up the Space Shuttle every so often to straighten out the orbits of the more expensive satellites. :-)

Date: 2003-10-21 10:47 am (UTC)
From: [identity profile] tacd.livejournal.com
Holy crap.

I say 'that's the best thing I've ever seen on the Internet' quite often, but honest to God I mean it in regards to this applet. I had no idea that anything so fucking amazing had been made.

I... I might have to enable Active Desktop and set this as my wallpaper. Oh God.

Date: 2003-10-21 07:34 am (UTC)
From: [identity profile] lostcarpark.livejournal.com
A geosynchronous will generally be more stable than a low-Earth orbit because there isn't nearly as much of Earth's stray atmosphere floating around at that altitude. However, even at this distance there is matter floating around which has a slight effect on the orbit. There is also the gravitational pull of the Moon whill will gradually pull the satellite about in it's orbit, so geosynchronous do need to expend fuel to make course corrections too. I think ground stations sometimes need to make adjustments for sattelites that have drifted out of their original orbits too.

Date: 2003-10-21 07:40 am (UTC)
From: [identity profile] lostcarpark.livejournal.com
Interesting that you should bring it up - the US military is currently looking at satellite "tug-boats". The idea is that there are lots of perfectly good satellites up there that have come to the end of their lives because they've run out of fuel. Instead of spending a billioin dollers on a new satellite, send up a low-cost tug that would hitch onto the old one and take over the guidance/course correction functions.

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greg elkin

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