IS-GPS-800A - US Coast Guard Navigation Center

Table 3.5-2. Elements of Coordinate System (part 2 of 2)Element/Equation * k = k + nu k = C us-n sin2 k + C uc-n cos2 kr k = C rs-n sin2 k + C rc-n cos2 ki k = C is-n sin2 k + C ic-n cos2 kDescriptionArgument of LatitudeArgument of Latitude CorrectionRadial CorrectionInclination CorrectionSecond HarmonicPerturbationsu k = k + u kr k = A k (1 – e n cos E k ) + r kCorrected Argument of LatitudeCorrected Radiusi k= i o-n + (i o-n -DOT)t k + i kCorrected Inclinationx k ' = r k cos u ky k ' = r k sin u kPositions in orbital plane = REF + ∆ *** k = 0-n + ( − e ) t k – e t oeRate of Right AscensionCorrected Longitude of Ascending Nodex k = x k ' cos k y k ' cos i k sin ky k = x k ' sin k + y k ' cos i k cos kEarth-fixed coordinates of SV antenna phase centerz k = y k ' sin i k•*** REF = 2.6 x 10 -9 semi-circles/second.3.5.3.7 Clock Parameter CharacteristicsThe bit lengths, scale factors, ranges, and units of the clock correction parameters shall be as specified inTable 3.5-1.3.5.3.7.1 User Algorithms for SV Clock Correction DataThe algorithms defined in paragraph 20.3.3.3.3.1 of IS-GPS-200 allow all users to correct the code phase timereceived from the SV with respect to both SV code phase offset and relativistic effects. However, since the SVclock corrections of equations in paragraph 20.3.3.3.3.1 of IS-GPS-200 are estimated by the CS using dualfrequency L1 P(Y) and L2 P(Y) code measurements, the single-frequency (L1) user and the dual-frequency (L1/L2and L1/L5) user must apply additional terms to the SV clock correction equations. These terms are described inparagraph 3.5.3.9. In addition, users shall use t oe , provided in bits 39 through 49 of subframe 2, to replace t oc in thealgorithms in paragraph 20.3.3.3.3.1 of IS-GPS-200.46 IS-GPS-800A8 June 2010