When a satellite travels in a geosynchronous orbit around the Earth, it needs to travel at a certain orbiting radius and period to maintain this orbit. Each orbit lasts 12 hours, so the slow, high-altitude portion of the orbit repeats over the same location every day and night.

This special, high Earth orbit is called geosynchronous. A geosynchronous or geostationary orbit is very difficult to achieve, requiring a very high orbital velocity. The geosynchronous orbit (synchronous orbit of the Earth) is at an altitude of 35,796 km (≈ 36,000 km) and has a semi-major axis of 42,167 km. A geostationary equatorial orbit (GEO) is a circular geosynchronous orbit in the plane of the Earth's equator with a radius of approximately 42,164 km (26,199 mi) (measured from the center of the Earth). An orbit is a curved path in space, in which celestial objects tend to rotate. Satellites in such orbits are used for communications and navigation and also for certain types of Earth observations. A satellite in a circular geosynchronous orbit directly over the equator (eccentricity and inclination at zero) will have a geostationary orbit that does not move at all relative to the ground.

The geostationary satellite (green) always remains above the same marked spot on the equator (brown). Geosynchronous vs Geostationary Orbit .

Alexandra Kravtsova -- 2004 The Molniya orbit combines high inclination (63.4°) with high eccentricity (0.722) to maximize viewing time over high latitudes. Because the radius and period are related, you can use physics to calculate one if you know the other. Here is a link to where I posted it on KSP. A geostationary orbit has an altitude of 36 000 km. It is always directly over the same place on the Earth’s surface. Excel formula used in this table to calculate the altitude of the satellite in synchronous orbit of the planet: You can use it as well to put the satellite where ever you want, just depends when you start the burn to Geosynchronous altitude. The period of a satellite is the time it takes […] The underlying principle of the orbit is closely related to gravity, and it was not clearly explained until newton’s theory of gravity was published.

I created a code to take a satellite to Geosynchronous orbit almost directly over the Launchpad. A geostationary orbit (also known as a geostationary Earth orbit, geosynchronous equatorial orbit, or simply GEO) is a circular orbit located at an altitude of 35,786 kilometers (22,236 miles) above the surface of Earth with zero inclination to the equatorial plane. Geosynchronous satellites which orbit Earth 35,900 km (22,300 miles) above the ground, offer the best locations because the high orbit allows satellites orbital speed to match the rotation speed of Earth and remain essentially stable over the same spot.