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here
t = SBAS network
,i = the code phase offset correction
The code phase offset correction δΔtSV,i for a GLONASS satellite i is:
δΔtSV,i = δai,f0 + δai,f1(t – ti,LT) + δai,GLONASS
here (t – ti,LT) is corrected for end-of-day crossover. If the velocity code = 0, then δai,f1 = 0.
fo wing qu tion:
t = tG –
t = SBAS network time;
ssover.
3
3.5.5 G S clock correction. The clock correction for a GPS
equation:
w
tSV,i = the GPS satellite time at transmission of message;
(ΔtSV,i)L1 = the
3.5.5 NASS clock correction. The clock correction for a GLONAS
following equation:
w
tSV,i = the GLONASS satellite time at transmission of message
tb, τn(tb), γn(tb) = the GLONASS time parameters as defined in 3.2.2.2
δΔtSV
w
APP B-49 23/11/06
Annex 10 — Aeronautical Communications Volume I
3.5.5.2.3 Satellite position correction. The SBAS-corrected vector for a core satellite constellation(s) or SBAS satellite i at
me t is:
y y y y (t ti,LT )
z z z z
⎢⎢ ⎥⎥ =⎢⎢ ⎥⎥+⎢⎢δ ⎥⎥+⎢⎢δ ⎥⎥ −
⎢⎣ ⎥⎦ ⎢⎣ ⎥⎦ ⎢⎣δ ⎥⎦ ⎢⎣δ ⎥⎦
here
(t – ti,LT) is corrected for end-of-day crossover; and
yi zi]T = the core satellite constellation(s) or SBAS satellite position vector as defined in 3.1.2.3, 3.2.2.3 and 3.5.5.1.1.
ti
⎡xi⎤ ⎡xi⎤ ⎡δxi⎤ ⎡δxi⎤
i i i i
icorrected i i i
w
[xi
If the velocity code = 0, then [ ] [ ]
e orrected pseudo-range at time t for satellite i is:
here
i
i = the fast correction;
RRCi = the range rate correction;
ICi = the ionospheric correction;
TCi = the tropospheric correction (negative value representing the troposphere delay); and
= the time of applicability of the most recent fast corrections, which is the start of the epoch of the SNT second
that is coincident with the transmission at the SBAS satellite of the first symbol of the message block.
an range rate correction for satellite i is:
T T
δxiδyiδzi = 0 0 0 .
3.5.5.3 Ps udo-range corrections. The c
PRi,corrected = PRi + FCi + RRCi (t – ti,0f) + ICi + TCi
w
PR = the measured pseudo-range after application of the satellite clock correction;
FC
ti
,0f
3.5.5.4 R ge rate corrections (RRC). The
i,current i,previous
i
i,0f i,0f _ previous
FC
RRC
FC
t t
−
=
−
i,0f i,current
BROADCAST IONOSPHERIC CORRECTIONS
s eric pierce point (IPP). The location of an IPP is defined to be the intersection of the line
eight of 350 km above the WGS-84 ellipsoid. This
pp pp
rrection for satellite i is:
where
FCi,current = the most recent fast correction;
FCi,previous = a previous fast correction;
t = the time of applicability of FC ; and
ti,0f_previous = the time of applicability of FCi,previous.
3.5.5.5
3.5.5.5.1 Location of iono ph
segment from the receiver to the satellite and an ellipsoid with constant h
location is defined in WGS-84 latitude (φ ) and longitude (λ ).
3.5.5.5.2 Ionospheric corrections. The ionospheric co
ICi = – Fpp τvpp
23/11/06 APP B-50
Appendix B Annex 10 — Aeronautical Communications
where
1
2 2
Recos i
1
Re h1
− ⎡ ⎛ θ ⎞ ⎤
Fpp = obliquity factor = ⎢ −⎜ ⎟ ⎥ ⎢⎣ ⎝ + ⎠ ⎥⎦
τvpp = interpolated vertical ionospheric delay estimate (3.5.5.5.3
Re = 6 378.1363 km;
θ = elevation angle of satellite i; and
350 km.
ratio of the
LONASS to the GPS frequencies (fGLONASS/fGPS)2.
ated vertical ionospheric delay estimate. When four points are used for interpolation, the interpolated
e at latitude φpp and longitude λpp is:
;
);
i
hI
=
Note.— For GLONASS satellites, the ionospheric correction (ICi) is to be multiplied by the square of the
G
3.5.5.5.3 Interpol
vertical ionospheric delay estimat
4
vpp k vk
k 1
W
=
τ =Σ τ
where
τvk: the broadcast grid point vertical delay values at the kth corner of the IGP grid, as shown in Figure B-13.
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