Help with an Equation Please
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Help with an Equation Please

[From: ] [author: ] [Date: 12-09-28] [Hit: ]
wikimedia.org/math/d/f/6/d…Note that r_p is the radius of nearest orbital distance from the star and a is the average distance given in the problem. This means its just a plug and chug problem.r_p = (1 - e)*ar_p = (1 - 0.5) * (0.722 AU)r_p = 0.......

http://en.wikipedia.org/wiki/Ellipse#Pla…

Specifically this equation from that section is of use in this problem:

http://upload.wikimedia.org/math/d/f/6/d…

Note that r_p is the radius of nearest orbital distance from the star and a is the average distance given in the problem. This means it's just a plug and chug problem.

r_p = (1 - e)*a

r_p = (1 - 0.5) * (0.722 AU)

r_p = 0.361 AU = 54 million km

3) Find the planet's farthest orbital distance from its star. - Again the previously listed section from wikipedia has all the relevant information. Specifically we want to use this equation now:

http://upload.wikimedia.org/math/8/d/5/8…

In this equation r_a is the farthest orbital distance from the star and again e and a are the eccentricity and average orbital period respectively.

r_a = (1 + e)*a

r_a = (1 + 0.5) * (0.722 AU)

r_a = 1.083 AU = 162 million km

Hopefully this helps you out.

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What is the explanation in your book?
Perhaps if you provided that, then someone may revise it in-order to clarify it for you.

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Simone Simons
12
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