Saturday, August 30, 2014

Refined Satellite Orbits in Future

By now, any Earth satellites not orbiting simply above the equator were all given refined orbits easier in the future for anything else to avoid. If below 1 day orbit geostationary height, all were now being given orbit periods being some perfect simple fraction of a day. This let their positions be completely predictably forever known, whichever day, out of a repeated set of at most 10 days (such as for radii for 8-10 orbits/day). This was especially good for polar orbits to pass over our poles a few times night and day, to then fully observe and communicate with polar lands better viewed from North or South than if trying to view from over the equator.

35,790km geostationary height + 6,378.4km equator radius = 42,168.4km, (= 6.611 * Earth radius). Various simple fractional day orbits have orbit heights as factors of equator radius, also as factors of the geostationary orbit radius (shown now here as a 3 line table with orbit periods, and both radii ratios):
.1day 1/8 0.2, 1/4, 0.3, 3/8, 0.4, 1/2, 0.6, 5/8, 0.7, 3/4, 0.8, 7/8, 0.9, 1day
1.43 1.65 2.26 2.62 2.96 3.44 3.59 4.17 4.71 4.84 5.21 5.46 5.70 6.05 6.17 6.61
.216 .250 .342 .397 .448 .520 .543 .630 .712 .731 .789 .826 .862 .915 .933 1.00

Satellites orbiting Earth for viewing or communicating with any polar regions, thus best in orbits passing over the poles, instead of orbiting around the equator, would each have been easily given some orbit period which was some exact simple fraction of 1 day, (such as maybe 3/8 or maybe 3/10), which would have been refined into orbits which would never within each whole day's orbit pass too badly close by any one of the 1 day orbit geostationary cable lifts. Best for such satellites might be 10, 8, 5, or 4 exact orbits/day.

Also, fixing orbiting satellites into these perfectly timed orbits meant that more than one could very safely share the same orbit height, conveniently passing over a pole at different times during each day. You could have some signals between them & you aimed differently during the day, somewhat like we usefully keep telescope aiming directions being slowly properly turned throughout each night. Extremely fine orbit refinements could occasionally be done by suitably opening and tilting a wide enough reflector for Sol's light, to then slowly exploit the very weak reflected light pressure.

How far from the equator might be safe to avoid being in any path of any equator orbiting satellite? Much of France is about 600km wide by 750km high (373mi by 466mi). Thus all geostationary cable lifts anchored at least 500km from the equator are nicely at least France's width safely away from the equator. That distance safely cleanly becomes almost 1.2% of each common geostationary orbit radius.

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