Quote:
Originally Posted by whswhs
I think we generally consider our moon to be "full" about one day a month. As an approximation, that says "no more than 6° of arc away from opposition." You could say that each of the three moons spends 1/30 of each day being full. That's 48 minutes per day, split up into some number of shorter intervals.
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If you adopt that definition, then for all of them to be full the sum of three cosines function would seem to need to be greater than 2.983 (technically some fraction of the time it was might still not qualify, but probably close enough).
Of course if the effect lasts until the end of the night once it happens, instead of never more than 3.9 minutes - the time it takes for Moon A to move through 1/30th of its phase cycle, that's even more complication. Something closer to 1/4 of the time than the 1/27000th you'd get for just the period of phase match.