Patent ID: 7426156

Claim:
An apparatus for synchronization with a master-clock, the apparatus comprising: a memory having a curved space-time correction module stored therein wherein the memory includes the current position (r R ) of the apparatus, and the correction is a function of both the apparatus (r R ) and a position (r T ) that is associated with the master clock; and wherein the correction, Δ(r T , r R ), includes the term 2 ⁢ ⁢ GM c 2 ⁢ ( Λ ⁡ ( r T , r R ) -  r R - r T  R E ) , where G is the universal gravitational constant, M is the mass of the Earth where c is the speed of light in a vacuum, where R E is the Earth's equatorial radius, and where Λ(r T , r R ) is a function of the position associated with the master clock, r T , and the position of the apparatus, r R , and which is given by the equation: Λ ⁡ ( r T , r R ) = ln ⁡ ( tan ⁡ ( θ T 2 ) tan ⁡ ( θ R 2 ) ) , and θ T and θ T are defined by cos ⁢ ⁢ θ n = r a · ( r T - r R )  r a  ⁢  r T - r R  , a=T, R; and a processor in communication with the memory, the processor adapted to receive a reference message having a time-stamp from the master clock, wherein the processor determines a correction to the time-stamp using the curved space-time correction, and wherein the correction accounts for curvature in space time.