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you knew it was coming...keplers third law.
I don't even know how to ask the question.
This law relates a planets orbital period (p) to the semimajor axis of it's elliptical orbit (a) astronomical units. (p) squared=(a) cubed orbital period would be the time it takes to orbit the sun? what is (a)? the distance between the two focus points of the ellipse? If anyone could help with this...dumbed down please.. thanks. jojo |
#2
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"jojo" wrote in message
. .. I don't even know how to ask the question. This law relates a planets orbital period (p) to the semimajor axis of it's elliptical orbit (a) astronomical units. (p) squared=(a) cubed orbital period would be the time it takes to orbit the sun? what is (a)? the distance between the two focus points of the ellipse? If anyone could help with this...dumbed down please.. thanks. jojo The square of the period is proportional to the cube of the semimajor axis: T^2 ~ a^3 What's the major axis? That's the longer of the two axes of the ellipse. For a planetary ellipse, that would be the straight line segment from perihelion to aphelion. Now, what's the semimajor axis? "Semi" means half, so the semimajor axis is half of the distance between perihelion and aphelion. For a circular orbit, the semimajor axis is equal to the semiminor axis and equal to the radius. For an elliptical orbit, the distance between the two foci is related to the lengths of the major and minor axes. If a is the length of the major axis, b the minor axis, and c the distance between the foci, then a^2 = b^2 + c^2 |
#3
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"jojo" wrote in message
. .. I don't even know how to ask the question. This law relates a planets orbital period (p) to the semimajor axis of it's elliptical orbit (a) astronomical units. (p) squared=(a) cubed orbital period would be the time it takes to orbit the sun? what is (a)? the distance between the two focus points of the ellipse? If anyone could help with this...dumbed down please.. thanks. jojo The square of the period is proportional to the cube of the semimajor axis: T^2 ~ a^3 What's the major axis? That's the longer of the two axes of the ellipse. For a planetary ellipse, that would be the straight line segment from perihelion to aphelion. Now, what's the semimajor axis? "Semi" means half, so the semimajor axis is half of the distance between perihelion and aphelion. For a circular orbit, the semimajor axis is equal to the semiminor axis and equal to the radius. For an elliptical orbit, the distance between the two foci is related to the lengths of the major and minor axes. If a is the length of the major axis, b the minor axis, and c the distance between the foci, then a^2 = b^2 + c^2 |
#4
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"jojo" wrote in message . .. I don't even know how to ask the question. This law relates a planets orbital period (p) to the semimajor axis of it's elliptical orbit (a) astronomical units. (p) squared=(a) cubed Someone else already answered your questions, I am just going to say that the law DO NOT states that "(p) squared=(a) cubed", rather the law states that "(p) squared IS PROPORTIONAL to (a) cubed". In other words, to write the law as an equality you'd have to add a constant (let's call it "K"): p^2 = K * a^3 The only time when p^2 = a^3 is when "p" is given in earth years and "a" is given in astronomical units (AU). Guillermo |
#5
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"jojo" wrote in message . .. I don't even know how to ask the question. This law relates a planets orbital period (p) to the semimajor axis of it's elliptical orbit (a) astronomical units. (p) squared=(a) cubed Someone else already answered your questions, I am just going to say that the law DO NOT states that "(p) squared=(a) cubed", rather the law states that "(p) squared IS PROPORTIONAL to (a) cubed". In other words, to write the law as an equality you'd have to add a constant (let's call it "K"): p^2 = K * a^3 The only time when p^2 = a^3 is when "p" is given in earth years and "a" is given in astronomical units (AU). Guillermo |
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