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Closest distance between two conics (ellipse,hyp.,par.)

  1. Sep 7, 2005 #1
    I have question for you,How calculate closest distance between two
    ellipse in space.
    orbit first : r = (p1)/(1+epsilon1*cos(theta1))

    second orbit : r = (p2)/(1+epsilon2*cos(theta2))

    the relation between two ellipse is some euler angles call them
    first angle :a1
    second angle :b1 (these three euler angles)
    third angle :c1

    (taking in account they have same focus :the sun)

    ? symbolic solution for this problem
    ? how solve this with approximation techniques.

    what when orbit is not closed:hyperbole,parabole
  2. jcsd
  3. May 9, 2008 #2
    I have the same type of problem and I am looking for a formula for the distance between two quadratic figures in [tex]\Re^n[/tex] but I haven't seen it anywhere.
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