Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By skeeter

Math Help - konexx farthest planet from the sun

  1. #1
    Newbie
    Joined
    Apr 2012
    From
    spokane, wa
    Posts
    11

    conic farthest planet from the sun

    Both neptune and pluto travel around the sun elliptical orbits. For neptunes orbit a=30.10 and for pluto's orbit a=39.44, where the variable a represents the planet average distance from the sun in astronomical units. The value of the variable a also corresponds to half the length of the major axis. Pluto have highly ec centric orbit with e=.249, and neptune has a nearly circular orbit with e=.009.
    1. Calculate the value of c for each planets orbit. Do I just take the eccentricity of an elipse e=c/a to find the value of c?
    2. Position the sun at the origin (0,0) find the coordinates of the center of neptunes orbit and the cord center of pluto's orbit . I'm stuck here not sure what to do. Does it have to do with the distance between the origin to the center of orbits ?.
    3. Find equations for neptunes orbit and for pluto's orbit. I can do this once I get through steps 1 and 2
    4. Graph. I can also do this.

    Any confirmation, comments, or links would be greatly appreciated . Thanks Matt
    Last edited by matthewporter1965; June 13th 2012 at 09:37 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,872
    Thanks
    655

    Re: konexx farthest planet from the sun

    yes ... e = \frac{c}{a} \implies c = ae

    remember that the sun is located at a focus of the elliptical orbit ... and c is the focal length

    finally, a^2 = b^2 + c^2 , where b is the length of the semi-minor axis
    Thanks from HallsofIvy
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. On the trajectory of the planet
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: October 16th 2011, 08:03 PM
  2. Nearest and farthest point
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 18th 2009, 11:02 AM
  3. Planet Venus
    Posted in the Algebra Forum
    Replies: 2
    Last Post: December 22nd 2008, 08:58 PM
  4. planet motion
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: April 20th 2008, 09:28 AM
  5. minimum mass of planet
    Posted in the Advanced Applied Math Forum
    Replies: 5
    Last Post: January 2nd 2007, 09:20 AM

Search Tags


/mathhelpforum @mathhelpforum