slewing of satellite. Nevertheless the diameter of FOV may be
2,000 km and the angular FOV will be 3 degree. Assuming the
aperture dimension of CCD element and the required ground
resolution are 14 Jum and 100 m respectively, then the focal
length of telescope must be 5.32 m. The aperture will be 1.32
m for F-number 5. It is very easy to get 3 degree of FOV by
refractive system, but to do it with the focal length and the
aperture diameter is not conceivable. On the other hand, this
3 degree of FOV imposes difficulty on Cassegranian reflective
scheme. The Makstov type or Schmidt type catadioptoric schemes
are only solutions for this telescope. The scheme (c) is a
rather exotic scheme which uses the conical scanning on the
focal plane. In this scheme the total Japan islands are imaged
in some circular arc area of the focal plane as shown in Fig. 1
(c). The optical axis of telescope points to somewhere of
Chinese continent. To image islands from Hokkaido to Kyusyu,
about 3.2 degree of FOV is required, and to image total islands
including Okinawa island about 4 degree of FOV is required.
According to similar consideration as scheme (b), the pertinent
telescope is the Makstov or Schmidt type catadioptoric system.
On the focal plane the image of Japan islands are formed along
with concentric strips, on which all image points are focused
best and have same optical performances.
2. Design of Schmidt telescope to observe the Japan islands
with conical scan from geosynchronous orbit
2.1 The principle of Schmidt telescope
Fig. 2 shows the basic principle of Schmidt telescope. S is a
primary mirror with spherical surface, and C is an aspheric
lens which called the correcting plate and positioned on the
center of curvature of the primary mirror. The central part of
this correcting plate is forming a convex lens, but the
peripheral part is forming a concave lens and there is no power
part between these two parts, which does not refract ray. The
spherical aberration is removed completely by this correcting
plate. Oblique light beam is symmetrical about the principal
ray OA. Due to this symmetry there is no coma and astigmatism.
The focal plane is spherical surface with 1/2 length radius of
curvature compared to the primary mirror. That is, on the
spherical focal plane we can get complete image without any
aberration.
2.2 Calculation of optical parameters of the Schmidt telescope
We adopt the scheme (c) and put the image of Japan islands in
the concentric strips on the spherical focal plane of Schmidt
telescope. Then the projection of telescope FOV on the Earth's
surface is a circle, which comes in contact with parallels of
latitude 29 degree and 61.5 degree, and the center of FOV is
projected on the parallel 45 degree and the distance from
satellite on the geosynchronous orbit to the projected image
center dis: 38,140 km (cf. Fig. 3).: The focal; length £,: the
distance between satellite and the center of FOV on the ground
D, the spatial resolution on the ground Ax and the aperture of
sensor element d are related in formula:
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