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Re: CONCULTURE: First thoughts on Ayeri calendar system

From:Caleb Hines <cph9fa@...>
Date:Monday, November 15, 2004, 18:36
> > OK, I have decided! I only want to have one moon, since Maths and
Physics
> > seem to be easier then and I'm not that good at both subjects. > > well, at some points during the month (ie, when each is on the opposite > side of the planet), the two moons would negate one another's effect upon > the tides. > > I'd be willing to help out, if you like.
As a matter of fact, when the moons are on opposite sides, the tides would _reinforce_ one another! The side of the Earth facing away from the moon experiences a high tide just like the side facing the moon. Low tide occurs 90 degrees from this (where the moon is on the horizon). Regarding Earth having a second moon, if its the same as what I've read about, its actually an asteroid that's orbiting the sun, but doing so in a way that makes it _look_ kinda like its orbiting the Earth. And there's at least two of 'em. Anyway, there is a very interesting type of orbit that would allow two moons to exist in a single stable orbit. Such a situation even occurs with two of Saturn's moons (Janus and Epimetheus). These moons are called 'co- orbital' (a google on that term, or on the names of the moons, should uncover a wealth of info). Here's a link to an animation I found of such an orbit. http://www.jimloy.com/cindy/co-orbit.htm. Also, try looking up 'Epithemeus' on Wikipedia. Basically, what happens is that the two moons are on almost exactly the same orbit, so they have almost the same period. But because one is slightly closer to the center (we'll call it moon A), it goes just a bit faster and starts to catch up with the other one (B). But when A gets close to B, B's gravity tugs on A which tosses into a higher orbit, which causes it to go slower. OTOH, A's gravity tugs on B, pulling it into a lower orbit, which causes it to go faser. Just before A overtakes B, the two moons end up switching orbits. B is now slightly closer to the center than A. This means that B starts to pull away from A, and eventually, B will catch up with A from behind, and the whole situation will be repeated again, with the roles reversed. Again, the orbits will swap, and the moons will not collide. This is a good example of how chaos can lead to order, BTW. In the so- called 'three-body problem' it is impossible to solve for orbital paths directly (you have to use numerical methods), but such stable patterns can still arise. WRT tides, I think the tides of such a system would not be impossible to deal with if the _total mass_ of the two moons were comprable in effect to our own single moon. Granted you would have some very unusual tidal patterns. Essentially, you would have two sets of basically independent tides that chased each other around the planet. When they started to coincide, (giving rise to maximum tidal effects) then the tide in back would slow down, and the two tides would seperate again. Actually, you would also have another time of maximum tide when the two moons were on opposite sides of the planet (In this case, the two tides would appear to pass through each other). The whole process of 'catching up' with each other and reversing position would take many months (ie moon revolutions), and would depend largely on the exact seperation between the two, as well as their masses. I don't know if I could calculate it or not, but if you watch the animation I provided, you can count the number of revolutions of the moons before they catch up, and use that as a rough estimate. Also, it might be a good idea to make the moons have about the same mass. An interesting result could be a _rare_ 'double eclipse' where both moons happen to be near each other during an eclipse. First one would be eclipsed, then the other (or possibly both at once?). Cool! HTH, ~Caleb