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Why is the declination angle to a geostationary satellite POSITIVE in the Southern Hemisphere and NEGATIVE in the Northern Hemisphere?
Astronomers have defined declination as follows:
- Any astronomical body north of the Celestial Equator has positive declination. Example: the star Polaris (the "Pole Star") is at declination +90° (approximately), which puts it almost directly above the North Pole.
- Any astronomical body south of the Celestial Equator has negative declination. Example: the star Sirius (the "Dog Star") is at declination -16° (approximately). It rises in the east and sets in the west, but it's always 16° below the Celestial Equator.
The following sketch illustrates the situation. Note that:
- The Geostationary Satellite lies in the earth's equatorial plane. At the scale of this drawing, the declination appears to be 0 degrees.
- The Sun's declination varies throughout the year. This, of course, is why we have seasonal variations in temperature.
- Sirius is always -16°.
EARTH, VIEWED FROM A POINT DIRECTLY ABOVE THE EQUATOR (FROM A VERY LONG WAY AWAY) (NOT TO SCALE)
Now let's zoom in toward the earth. Note that:
- An antenna located in the northern hemisphere must be aimed slightly "down" (south) to view the satellite. The line-of-sight to the satellite crosses the Equatorial Plane and arrives at infinity south of the Celestial Equator. Hence, its declination angle is negative.
- An antenna located in the southern hemisphere also must be aimed slightly "down" (north) to view the satellite. The line-of-sight to the satellite crosses the Equatorial Plane and arrives at infinity north of the Celestial Equator. Hence, its declination angle is positive.
EARTH, VIEWED FROM A POINT DIRECTLY ABOVE THE EQUATOR
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