Geo-stationary communication satellites are 35,768 Km far from earth surface at an equatorial latitiude.
In order to appear motionless in the sky, the satellite must be in an orbit that is -- circular -- over the equator -- 22,400 miles above the surface
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Because they can't provide worldwide coverage. To cover near-polar areas, inclined orbits are necessaries. Since the geostationary orbit must lay on the equatorial plane, it doesn't suit to fit GPS requirements.
No. A satellite in geostationary orbit remains stationary over a single point on the earth's equator. It must have an altitude of 22,236 miles above the earth, which makes its orbital period exactly one day. The moon is much too far away for that; its orbital period is 28 earth days.
The plane of a satellite's orbit must include the center of the earth.
If the satellite is anywhere near Earth's surface, it will take about one and a half hours to orbit Earth once. As the orbit gets higher, it will take longer - both because it must travel a longer distance, and because it will be slower.
There is only one geostationary orbit because in order for any mass m to orbit the Earth (ME) the gravitational force: EQ1: Fg = GmME/r^2 has to be such that it is equal to the required centripetal force for uniform circular motion: EQ2: Fc = mv^2/r where v is the velocity of m at radius r (distance from the center of the Earth) and: EQ3: v = 2(pi)(r)(f) f is the frequency of rotation in revolutions per second. For geostationary orbit the satellite must be in a fixed position (it must have the same frequency of rotation or angular velocity as the Earth's rotation) relative to the Earth and orbit above the Earth's equator. The necessary velocity to satisfy Fg = Fc is a specific value, therefore (since pi and f are fixed values) r is the only variable in EQ3. There is a specific orbital radius for geostationary orbit of any mass m.
A geostationary satellite must orbit in the plane of the equator to be stationary. If launched from the equator it is already in that plane and only needs enough fuel to lift it and inject it into the right orbit. If launched from another point it will need extra fuel for maneuvering from its initial orbital plane into the equatorial plane. This gets worse with greater initial orbital inclination.
If a satellite is in geosynchronous orbit, it will take the satellite 24 hours, a day, to orbit the Earth once. This is so because geosynchronous orbit is when a satellite orbit the Earth at such a time, that is is over the Earth at all times.
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A geostationary orbit achieved by being in a location where the satellite's orbital period is 24 hours. This means the satellite is about 36,000 km (22,000 miles) above the Earth's surface. All orbits must therefore be over the equator. Every orbit around the earth looks like a circular (or elliptical) ring whose center (or one foci) is at the center of gravity of the Earth. An orbit exactly above the equator is one such orbit, but any orbit can be tilted as long as the center (or focus) stays at the Earth's center and the whole orbit is flat like a disk. On various NASA maps this makes the orbit look like a sinewave, but on a globe it stays a flat circle (or ellipse). On "Star Trek" I have seen errors a number of times on "Geostationary orbit over the North Pole", well you can't do that. Likewise, a "Lunar-stationary orbit" is impossible for a spacecraft, since Earth itself is already IN THE STATIONARY ORBIT POSITION! Remember that a geostationary orbit looks like it is always over the same spot on the Earth (or other body). If you were on the Moon, the Earth would be in the same position in the sky at all times.
Geostationary satellites orbit high above the surface of the earth at about 35,000km, directly above the equator. The take the same time to complete one orbit as the earths surface as it rotates meaning it is always above the same point on earth. They are used for TV and telephone signals as well as weather imagery, among other things. A satellites period, the time it takes it to go around the earth, is determined, in part, by its altitude. The further away it is then the longer it will take. You can calculate an altitude where it will take just one day to make an orbit. If this is done then though the satellite orbits the earth it appears to be stationary above one point of the earth. This orbit must be above, or very near to, the equator. For the earth this altitude is approximately 36,000 km (22,000 miles)