SOLUTION: Dear Sir/Madam, Good day! Can you please help me answer this question, I do not understand much about this topic, here is the problem: Suppose that the orbit of a planet is in

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Dear Sir/Madam, Good day! Can you please help me answer this question, I do not understand much about this topic, here is the problem: Suppose that the orbit of a planet is in      Log On


   



Question 812875: Dear Sir/Madam,
Good day! Can you please help me answer this question, I do not understand much about this topic, here is the problem:
Suppose that the orbit of a planet is in the shape of an ellipse with a major axis whose length is 500 million km. If the distance between the foci is 400 million km., find the equation of the orbit. (ellipse)
Thank you very much for your help!

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
ellipse with a major axis whose length is 500 million km.
distance between the foci is 400 million km
Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+
where Pt(h,k) is the center. (a variable positioned to correspond with major axis)
a and b are the respective vertices distances from center
and ±sqrt%28a%5E2-b%5E2%29are the foci distances from center: a > b
a = 250,000km
x%5E2%2F%28250000%29%5E2+%2B+y%5E2%2Fb%5E2+=+1+
finding b ( distance between the foci is 400 million km)
(200,000)^2 = 250,000^2 - b^2
b = 150,000
x%5E2%2F%28250000%29%5E2+%2B+y%5E2%2F%28150000%29%5E2+=+1+