Fermi coordinates in Schwarzschild spacetime: closed form expressions
  Fermi coordinates are constructed as exact functions of the Schwar\-zschild coordinates around the world line of a static observer in the equatorial plane of the Schwarzschild spacetime modulo a single impact parameter determined implicitly as a function of the latter coordinates. This illustrates the difficulty of constructing explicit exact Fermi coordinates even along simple world lines in highly symmetric spacetimes. 
Donato Bini, Andrea Geralico, Robert T. Jantzen
gr-qc