A stationary satellite cannot be fixed to a location far from the equator due to gravitational constraints. The only viable option for a stationary position relative to Earth is a geostationary orbit, which is only achievable over the equator. For locations near the equator, minimal corrections can allow for near-geostationary orbits, but these are not truly stationary. Lagrangian Points L4 and L5 in the Sun-Earth system offer potential stationary positions, but they are not stable for satellites influenced by the Sun's gravity.
PREREQUISITESAerospace engineers, satellite communication specialists, and students of orbital mechanics will benefit from this discussion on stationary satellites and their limitations.
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.