Patent ID: 7282910

Claim:
A method, comprising the steps of: providing a nuclear magnetic resonance cell with first, second, and third nuclear moment gases and at least one optically pumpable substance; obtaining first, second, and third measured precession frequencies that correspond to the first, second, and third nuclear moment gases, wherein the first, second, and third measured precession frequencies are altered from corresponding first, second, and third Larmor precession frequencies by a rotational rate, an applied magnetic field, and corresponding first, second, and third local magnetic fields; and determining a base magnetic field as a function based on the at least one optically pumpable substance; approximating the first, second, and third local magnetic fields as the base magnetic field multiplied by corresponding first, second, and third proportionality factors; determining the rotational rate with compensation for the first, second, and third local magnetic fields through employment of: the first, second, and third measured precessing frequencies; the base magnetic field; the first, second, and third proportionality factors; and the applied magnetic field.