1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Distance to mars

  1. Aug 7, 2009 #1
    Hey guys, With that rumor around the internet that mars will look as big as the moon, i was wondering how far the mars would be from the earth for it to really look that big.

    show an equation that shows the distance from earth to mars where mars would have the same diameter as the moon, when viewed from earth. I guess some research would be involved to find the diameter of the moon when viewed from earth.

    -Scrythe
     
  2. jcsd
  3. Aug 7, 2009 #2

    mgb_phys

    User Avatar
    Science Advisor
    Homework Helper

    Moon:
    Distance = 385,000km
    Diameter = 3500km

    Mars:
    Diameter = 6800km

    Distance Mars would have to be at to appear same size as moon
    =(6800km/3500km) * 385,000km = 750,000km

    Closest approach of Mars to Earth = 55,758,000km
     
  4. Aug 7, 2009 #3
    hmm...seems easier than i thought. Thanks for the quick reply.

    Is there any way to show this using a triangle?
     
  5. Aug 7, 2009 #4

    mgb_phys

    User Avatar
    Science Advisor
    Homework Helper

    Yes.
     
  6. Aug 7, 2009 #5

    russ_watters

    User Avatar

    Staff: Mentor

    That's actually what he did - the mathematical concept is "similar triangles": http://www.gcseguide.co.uk/similar_triangles.htm

    You are at one point of the triangle, the moon or mars is at the far side and the two big sides are the distance. They aren't really making a right triangle, but you can assume it to make the calculation easier if you want.
     
  7. Aug 7, 2009 #6
    Moon angular size of diameter = (3.5/385) * 180deg/pi = 0.52 deg
    Mars angular size of diameter = (6.8/55,758) * 180deg/pi = 0.0070 deg

    To truly do it, you need a solid angle, but you get the picture.
     
  8. Aug 8, 2009 #7
    cool, thanks guys
     
  9. Aug 8, 2009 #8
    While the calculations show that Mars will never be so close as to appear the same size of the Moon, a matter--which comes to mind---and, perhaps, related to this discussion is the Moon illusion:

    The Moon illusion is an optical illusion in which the Moon appears larger near the horizon than it does while higher up in the sky. This optical illusion also occurs with the sun and star constellations. It has been known since ancient times, and recorded by numerous different cultures.

    Wikipedia has a long article on this.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Distance to mars
  1. DIsTance problem (Replies: 1)

  2. Distance IN a circle (Replies: 1)

  3. Variation distance? (Replies: 3)

  4. Distance Metric (Replies: 4)

  5. Distance in a photo (Replies: 1)

Loading...