3001: The Final Odyssey is the last installment of the Space Odyssey book series. It centers around the revival of Frank Poole in the year 3001 and his attempts to save humanity from disaster and to readjust to his new futuristic lifestyle, considering the fact that man has made many technological advances.
3001 follows the adventures of Frank Poole, the astronaut killed by the HAL 9000 in 2001: A Space Odyssey. In the Fourth Millennium, Poole's freeze-dried body is discovered in the Kuiper belt by a comet-collecting space tug named the Goliath, and revived. Poole is taken home to learn about the Earth in the year 3001.
3001 introduces Star City, an enormous Earth habitat with four gigantic space elevators, protruding evenly from the Earth’s Equator, connected by a habitat ring.
It is also mentioned that the TMA-1, the black monolith found on the Moon in 1999, has been brought to Earth in 2006 and installed in front of the United Nations Building in New York City.
For 1/2 gee as the novel says; the distance of Star City from Earth is 2641 Km above the equator.
The simple equation to calculate this is -a = (GM)/R^2.
-a = To the desired acceleration falling toward the planet. In the equation make sure you use the absolute value as you can not take the square root of a negative number.
GM = The constant for a large body. For Earth that is: 398.6e12 m^3 s^-2.. It can be calculated by multiplying the gravitational constant times Earth's mass of which both can be looked up on the internet (I have).
R = The total height from the center of that body. Earth's radius is 6375448.8 m for 1 gee equaling to 9.80655 m s^-2.
Solve for R and then subtract Earth radius. (This is where you need the square root key). Remember all units has to be in meters (or metres outside the US) to obtain the correct answer. If you want to covert it to KM multiply by .001 km/m.
Putting the equation into a spreadsheet helps a lot as you don't have to do the tedious work with a calculator every time you do the calculations but make sure your equations are right or you will get a worthless answer (GIGO).