scibuff said:... stationary with respect to what? If you mean with respect to Earth ... the only option would be one of the Lagrangian Points (L4 or L5) in the Sun-Earth system. There are also L4 and L5 points in the Earth-Moon system but they are not very stable due to gravitational influence of the sun.
... in a theory, considering only Earth and your satellite, you would basically have to place it at a point where the Earth would exert NO gravitational pull (the satellite would have zero potential energy). Since F = G m1m2 / d^2 there is no point (apart from the center of the Earth) where F = 0, hence your satellite would impact the Earth eventually, no matter how far it was originally placed.
A stationary satellite in high latitude is a satellite that is placed in geostationary orbit, meaning it orbits the Earth at the same speed and direction as the Earth's rotation. This allows the satellite to appear stationary in the sky from a fixed location on Earth.
Stationary satellites are used in high latitudes because they can provide continuous coverage of a specific region on Earth. This is especially useful in areas with low population density or extreme weather conditions, where it may be difficult to install and maintain ground-based communication systems.
To be considered stationary in high latitudes, a satellite must be placed in a specific orbit known as a "highly inclined geosynchronous orbit". This orbit has a high inclination angle, meaning it is tilted relative to the Earth's equator, allowing the satellite to cover higher latitudes.
The main advantage of using stationary satellites in high latitudes is the continuous coverage they provide. This allows for real-time communication and data transmission, making them ideal for applications such as weather monitoring, remote sensing, and telecommunications.
One limitation of using stationary satellites in high latitudes is that they have a limited coverage area. They are most effective when placed directly above a specific location, so they may not be suitable for providing coverage to large, remote areas. Additionally, their position in geostationary orbit means they are more susceptible to signal interference and may have difficulty communicating with ground-based systems in certain terrain.