i am writing a story and it takes place in this fantasy world called bluh,bluh,bluh spoilers:)
anyway, this planet has 3 satellites or moons that behave like our natural satellite.
satellite x is biggest and also the farthest fro the planet. it takes him 21 days to complete all his lunar phases and to circle around the planet.
satellite y is second in line and smaller than Satellite x, circles around the earth for 14 days
satellite z is smallest and also the closest to the planet. it takes him 7 days to circle around..
my question is: how often would it happen that all three moons are full? (I have an F in maths...), and how often would eclipses occur?
thank you very very much! :*
anyway, this planet has 3 satellites or moons that behave like our natural satellite.
satellite x is biggest and also the farthest fro the planet. it takes him 21 days to complete all his lunar phases and to circle around the planet.
satellite y is second in line and smaller than Satellite x, circles around the earth for 14 days
satellite z is smallest and also the closest to the planet. it takes him 7 days to circle around..
my question is: how often would it happen that all three moons are full? (I have an F in maths...), and how often would eclipses occur?
thank you very very much! :*
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It is more complicated than that because phases depend on where the Sun is, and that will depend on how long the planet takes to orbit the Sun. Ignoring that....
The problem is to find one number that can be evenly divided by all three numbers, 7, 14, and 21. So 42/21 =2, 42/14=3, and 42/7=6.
So 42 days
Let is assume all 3 start out lined up.
After 21 days the the inner one will have gone 3 times around and those 2 will be lined up again. But the middle one will have gone one and a half times around and won't be lined up.
After 42 days the outer one will have gone around twice, the middle one will have gone around 3 times, and the inner one will have gone around 6 times and they will all be lined up again.
So when they are lined up are they full? It depends on where the Sun is. So to tell if they are full when they are lined up we need to know if they are also lined up with the Sun. We can imagine the Sun moving around the planet once a year, even though in reality the planet orbits the Sun. Then you just calculate the same way with 4 objects all lining up. To make the math easier we will give your fictional planet a 336 day long year. So the problem becomes one of finding when all 4 of them are lined up to figure out when eclipses or full moons happen.
The problem is to find one number that can be evenly divided by all three numbers, 7, 14, and 21. So 42/21 =2, 42/14=3, and 42/7=6.
So 42 days
Let is assume all 3 start out lined up.
After 21 days the the inner one will have gone 3 times around and those 2 will be lined up again. But the middle one will have gone one and a half times around and won't be lined up.
After 42 days the outer one will have gone around twice, the middle one will have gone around 3 times, and the inner one will have gone around 6 times and they will all be lined up again.
So when they are lined up are they full? It depends on where the Sun is. So to tell if they are full when they are lined up we need to know if they are also lined up with the Sun. We can imagine the Sun moving around the planet once a year, even though in reality the planet orbits the Sun. Then you just calculate the same way with 4 objects all lining up. To make the math easier we will give your fictional planet a 336 day long year. So the problem becomes one of finding when all 4 of them are lined up to figure out when eclipses or full moons happen.
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