By Guochang Xu, Yan Xu
International Positioning approach (GPS/Galileo). it's based mostly on source-code descriptions of the KSGsoft software built by way of the writer on the GFZ in Potsdam. the speculation and algorithms are prolonged and confirmed for a brand new improvement of a a number of sensible GPS/Galileo software program. along with the strategies corresponding to the unified GPS info processing technique and the numerical resolution of the difference equations, in addition to the overall ambiguity seek standards pronounced within the first variation, there are numerous highlights said. corresponding to the identical precept and its functions, the speculation of self reliant parameterisation, the diagonalisation set of rules, and so forth. Mathematically rigorous, the ebook starts with the fundamentals of coordinate and time structures and satellite tv for pc orbits, in addition to GPS observables, and offers with subject matters reminiscent of actual affects, remark equations and their parameterisation, adjustment and filtering, ambiguity answer, facts processing, and the selection of perturbed orbits.
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Additional info for GPS: Theory, Algorithms and Applications
Because of the motion of the Earth around the Sun (or say, in the Sun’s gravitational field), TDT will have a variation with respect to TDB. However, both the satellite and the Earth are subject to almost the same gravitational perturbations. TDT may be used for describing the satellite motion without taking into account the influence of the gravitational field of the Sun. TDT is also called Terrestrial Time (TT). Atomic Time is a time system kept by atomic clocks such as International Atomic Time (TAI).
Taking the precession and nutation into account, the Earth’s mean pole (related to the mean equator) is transformed to the Earth’s true pole (related to the true equator). The x-axis of the ECI is pointed to the vernal equinox of date. The angle of the Earth’s rotation from the equinox of date to the Greenwich meridian is called Greenwich Apparent Sidereal Time (GAST). Taking GAST into account (called the Earth’s rotation), the ECI of date is transformed to the true equatorial co- 13 14 Chapter 2 · Coordinate and Time Systems Fig.
Fig. 7. 6 · Time Systems Polar Motion As shown in Fig. 7, the polar motion is defined as the angles between the pole of date and the CIO pole. The polar motion coordinate system is defined by xy-plane coordinates, whose x-axis is pointed to the south and is coincided to the mean Greenwich meridian, and whose y-axis is pointed to the west. 22) The IERS determined xp and yp can be obtained from the home pages of IERS. 5 Geocentric Ecliptic Inertial Coordinate System As discussed above, ECI used the CIO pole in the space as the z-axis (through consideration of the polar motion, nutation and precession).
GPS: Theory, Algorithms and Applications by Guochang Xu, Yan Xu