During the war in iraq, the us military was extremely successful at detecting and striking enemy targets. many news correspondants suggested the coalition forces had a spy satellite at an altitude of only a few hundred kilometers permanently positioned 34 degrees north latitude directly above the iraqi capital of baghdad.

Explain from the point of view of physics, why a geosynchronous satellite at that altitude and latitude is manifestly impossible.
Explain the importance of geosynchronous satellites. Explain the other types of orbits that satellites may follow and explain the function of these satellites.

I will be happy to critique your thinking.

Well I'm not exactly sure what I think.

Do you have any input?

From a physics standpoint, a geosynchronous satellite at an altitude of only a few hundred kilometers directly above Baghdad is impossible due to the laws of orbital mechanics. To understand this, we need to delve into the concept of orbits.

Orbits are essentially a balance between the gravitational pull of the Earth and the satellite's tangential velocity. A geosynchronous orbit is one in which a satellite rotates around the Earth at the same speed as the Earth's rotation, which allows the satellite to appear to remain "fixed" above a specific location on the Earth's surface. For a geosynchronous satellite, the required altitude is approximately 35,786 kilometers (22,236 miles) above the Earth's equator.

The key feature of a geosynchronous orbit is that the satellite's orbital period matches the Earth's rotation period, which is about 24 hours. This allows the satellite to remain in a fixed position relative to the Earth's surface.

Now, if we talk about a few hundred kilometers above Baghdad at 34 degrees north latitude, that's a much lower altitude than what is required for a geosynchronous orbit. At such low altitudes, the satellite would be subjected to significant atmospheric drag, making it challenging for it to maintain a stable orbit. In addition, at that altitude, the satellite's orbital period would be much shorter than 24 hours, making it move faster in its orbit and not remain in a fixed position relative to Baghdad.

Geosynchronous satellites are of immense importance because they enable various applications, including telecommunications, television broadcasting, weather monitoring, and global positioning systems (GPS). These satellites provide constant coverage of a specific region on the Earth's surface, making them ideal for communication purposes.

In addition to geosynchronous satellites, there are other types of orbits that satellites can follow, each with its own function:

1. Low Earth Orbit (LEO): Satellites in LEO are positioned at altitudes ranging from a few hundred kilometers up to approximately 2,000 kilometers. They orbit the Earth much faster than geosynchronous satellites, completing an orbit in around 90 minutes. LEO satellites are commonly used for Earth observation, weather monitoring, and satellite-based internet services.

2. Medium Earth Orbit (MEO): Satellites in MEO are positioned at altitudes ranging from a few thousand kilometers up to approximately 36,000 kilometers. MEO orbits are used primarily for navigation systems like the Global Positioning System (GPS).

3. Polar Orbit: A polar orbit is one in which a satellite passes over or near the Earth's poles in each orbit. This type of orbit is particularly useful for Earth observation and mapping purposes since it provides global coverage.

4. Molniya Orbit: A Molniya orbit is an elliptical orbit with a high inclination of around 63.4 degrees. This orbit is used by satellites to provide communication coverage at high latitudes, such as northern Russia, where geostationary satellites are not sufficient.

In summary, a geosynchronous satellite at a few hundred kilometers above Baghdad is not possible due to orbital mechanics and atmospheric drag. Geosynchronous satellites are important for communication applications, while other types of orbits serve various purposes, including navigation, Earth observation, and specialized coverage requirements.