(19a)
(19b)
(19c)
TW
m} (19d)
(19f)
parameter
) equations.
(20a)
(20b)
(20c)
(20d)
(20e)
(20f)
or included
(21a)
(21b)
(21c)
(21d)
SES | i gd (21e)
[7 C 0 -s
aw | CsSa
o =(R+h) — CHC (211)
C
- - 0
Iw S$sCa
E =(R +h) $584 (21g)
dn
= CS
3 i CsC4
m sls (21h)
|. |
T SS
The model parameters are assumed to satisfy the
following conditions about the satellite attitude and
position.
Cond.(i) the satellite pointing is not deviated in
amount of more than 12 degrees from the line between
the satellite and the center of the Earth.
Cond. (ii) the position of the satellite predicted from
the orbital model allow only less than 2° error for the
longitude and latitude and less than 30km error for the
altitude of the actual position.
If the deviated angle is 5, the Cond. (/) is described
mathematically as
> in sey sc)
ö = tan” AR RISE ku Jecy vesc t ) ( s ) <12°.(22)
Rain S2
The Cond. (ii) is described mathematically as
le — 6J < 2°
In - n. <2 (23)
| — ^| € 30km
where do,no, and ho are expected parameters from the
orbital model of the KITSAT-1.
The model parameters are estimated repeatedly by using
Eq.(17) with the conditions in the Eq.(22-23). The
systematic correction based on the estimated parameter
values was applied to remove the geometric distortions in
the KITSAT-1 images.
5. Result
Following several pictures shows some geometrically
corrected results of a wide angle camera image over the
southern Europe, taken by the KITSAT-1 on May 8, 1995.
Fig. 4 shows just a raw image. Fig. 5 shows the
geometrically corrected image drawn in latitude and
longitude grids. The model parameters to correct this
image were estimated as
61: -10.6551°, 02: 0.0361*, 03: 32.1341?
¢: 28.3961°E, n: 40.9716°N, h: 1290.06Km
The pointing error of the satellite at the time when this
image was captured is calculated by using Eq.(22) and it
is about 10.6552°. The corrected image is projected on
the Mercator map in Fig. 6. The white lines on the figure
are coast lines in a real map.
Figure 6. An image over southern Europe of
the KITSAT-1
Figure 7. The preprocessed corrected image
International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B3. Vienna 1996