The Daily Static
  The Daily Static
UF Archives
Register
UF Membership
Ad Free Site
Postcards
Community

Geekfinder
UFie Gear
Advertise on UF

Forum Rules
& FAQ


Username

Password


Create a New Account

 
 

Back to UserFriendly Strip Comments Index

Geodesics (kind of).. by Unicorn2003-04-24 00:51:10
  Is this Jeopardy? by skeptic2003-04-24 01:23:42
    Here.. by Unicorn2006-11-19 12:55:59
      OK, now I get it by skeptic2003-04-24 03:37:09
        That's a tough one. by Tomo 2003-04-24 04:40:12
Is the circle laid on the surface of the sphere (ie bent around it), or is it actually flat forming a chord (or rather 3D equivalent)?

It matters!

If the circle is small compared to the sphere then assume it's a chord and work from there. (But use radians, not degrees!)

It's not as difficult as you'd think, but I can't think how to explain it without pictures, and I can't be bothered to draw then now.

For latitude:
Cut the sphere along the line of longitude that goes through the centre of the circle, giving you a circle with a chordal line of length diameter.
Calculate the angle to the bottom and to the top of the chord.

For longitude:
Cut the sphere along the line of latitude through the centre of the circle and then apply the same rules, with the appropriate scaling as the sphere-circle is smaller.

I hope this helps!
[ Reply ]
          Whoops, longitude calcs don't need scaling. (n/t) by Tomo2003-04-24 04:41:07

 

[Todays Cartoon Discussion] [News Index]

Come get yer ARS (Account Registration System) Source Code here!
All images, characters, content and text are copyrighted and trademarks of J.D. Frazer except where other ownership applies. Don't do bad things, we have lawyers.
UserFriendly.Org and its operators are not liable for comments or content posted by its visitors, and will cheerfully assist the lawful authorities in hunting down script-kiddies, spammers and other net scum. And if you're really bad, we'll call your mom. (We're not kidding, we've done it before.)