By Guochang Xu, Yan Xu
International Positioning approach (GPS/Galileo). it really is based mostly on source-code descriptions of the KSGsoft software constructed through the writer on the GFZ in Potsdam. the idea and algorithms are prolonged and demonstrated for a brand new improvement of a a number of practical GPS/Galileo software program. in addition to the thoughts corresponding to the unified GPS info processing process and the numerical resolution of the difference equations, in addition to the overall ambiguity seek standards mentioned within the first variation, there are a number of highlights stated. corresponding to the an identical precept and its purposes, the idea of self reliant parameterisation, the diagonalisation set of rules, and so on. Mathematically rigorous, the e-book starts off with the fundamentals of coordinate and time structures and satellite tv for pc orbits, in addition to GPS observables, and bargains with issues reminiscent of actual impacts, remark equations and their parameterisation, adjustment and filtering, ambiguity solution, information processing, and the selection of perturbed orbits.
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Additional resources for GPS: Theory, Algorithms and Applications
33) ➞ ➞ ⎛ a(cos E − e) ⎞ ⎛ r cos f ⎞ ⎜ ⎟ ⎜ ⎟ q = ⎜ a 1 − e 2 sin E ⎟ = ⎜ r sin f ⎟ . 41) 29 30 Chapter 3 · Satellite Orbits Differentiating Eq. 41 with respect to time t and taking Eq. 38 into account, the velocity vector of the satellite is then ⎛ − sin E ⎞ ⎛ − sin f ⎞ ⎜ ⎟ ⎜ ⎟ na na = ⎜ e + cos f ⎟ . 42) The second part of above equation can be derived from the relation between E and f. The state vector of the satellite in the orbital coordinate system can be rotated to the ECSF coordinate system by three succeeded rotations.
C is the speed of light. Frequency of L1 is denoted by f1. The ionospheric group delay on the L2 frequency can be computed by . 64) The phase advance has only an opposite sign if the phase has been scaled to have units of length. Dividing the length with the wavelength can transform the units of length to the units of cycle. 1 shows the ionospheric effects of the broadcasted ionospheric model of 9 September 2001. The ionospheric parameters are and . Station coordinates are selected as (ϕ = 45°, λ = 0°).
The nutation parameters ∆ψ and ∆ε can be computed by using the International Astronomical Union (IAU) theory or IERS theory: or where argument where l is the mean anomaly of the Moon, l' is the mean anomaly of the Sun, F = L − Ω, D is the mean elongation of the Moon from the Sun, Ω is the mean longitude of the ascending node of the Moon, and L is the mean longitude of the Moon. The formulas of l, l', F, D, and Ω, are given in Sect. 8. , McCarthy (1996). The updated formulas and tables can be found in updated IERS conventions.