File:Elliptic orbit.gif

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rp Periapsis' Radius
ra Apoapsis' Radius

Summary

Description Animation showing the motion of a small body (green) in an elliptic orbit around a much more massive body (blue).
Date
Source Own work. Rendered with PovRay-3.0, animated with gifsicle.
Author Brandir
Permission
(Reusing this file)
Brandir put it under the GFCL and the CC-BY-SA
Other versions

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
This licensing tag was added to this file as part of the GFDL licensing update.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Spain license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.

POV-Ray Scene description

POV-ray image description:

   /*
   --------------------------
   Elliptical Orbit Animation
   --------------------------
   Created 7 Mar. 2006
   */    
   
   #include "colors.inc"
   
   //Orbit Definition
   #declare OrbitA=42.164;
   #declare OrbitE=0.7;
   
   //Scene constants
   #declare EarthRadius=6.356;
   #declare SatRadius=1.2;
   #declare OrbitWidth=0.3;
   #declare LineWidth=0.5/3;
   #declare Crosslength=1.5;
   #declare Textscale=9;
   #declare TextColor=rgb<0,0,0>;
   #declare PI=3.14159265359;
   
   //Variables
   #declare M=clock*360;
   #declare prevAnomaly=0;
   #declare Anomaly=0;
   #declare PI=3.14159265359;
   
   //Anomaly Determination - Solves the equation M=E-e*sin(E) by the iterative method
   #declare Index=0;
   #while (Index<20)
       #declare Anomaly=M*(PI/180)-OrbitE*sin(prevAnomaly);
       #declare prevAnomaly=Anomaly;
       #declare Index=Index+1;
   #end
   
   global_settings{
       ambient_light 1
   }
   
   light_source { <-50, 0, -70> color White }
   
   camera {
       orthographic
       location <OrbitA*OrbitE, 0, -10>
       look_at  <OrbitA*OrbitE, 0,  0>
       up <0,100,0>
       right <100,0,0>
   }
   
   plane { <0, 0, 1>, 8
       pigment {White}
       finish{ambient 1 brilliance 0}
   }
   
   //Earth
   sphere {
       <0, 0, 0>, EarthRadius
       pigment { Blue }
       finish{ ambient 0.3 brilliance 1.2 diffuse 0.8}
   }
   
   //Orbit
   torus{
       OrbitA,OrbitWidth
       rotate x*90
       pigment{ rgb<0.8,0,0> }
       finish{ ambient 1 brilliance 0 diffuse 0} 
       scale sqrt(1-OrbitE*OrbitE)*y
       translate x*OrbitA*OrbitE
       no_shadow
   }
   
   //Sat
   sphere {
       <0, 0, -10>, SatRadius
       pigment { SeaGreen }
       finish{ ambient 1 brilliance 0 diffuse 0}
       no_shadow
       translate <OrbitA*(cos(Anomaly)+OrbitE),OrbitA*sqrt(1-OrbitE*OrbitE)*sin(Anomaly),0>
   }
   
   //Lines
   #declare crossBars=
   object{
       union{
           box{
               <-LineWidth,-Crosslength,-LineWidth-7>, <LineWidth,Crosslength,LineWidth-7> 
           }
           box{
               <-Crosslength,-LineWidth,-LineWidth-7>, <Crosslength,LineWidth,LineWidth-7>
           }
           rotate z*45
           pigment{ TextColor }
           finish{ ambient 1 brilliance 0 diffuse 0}
           no_shadow
       }
   }
   
   box{
       <-OrbitA*(1-OrbitE),-LineWidth,-LineWidth-7>, <OrbitA*(1+OrbitE),LineWidth,LineWidth-7> 
       pigment{ TextColor }
       finish{ ambient 1 brilliance 0 diffuse 0}
       no_shadow
   }
   
   
   object{
       crossBars
   }
   
   object{
       crossBars
       translate -x*OrbitA*(1-OrbitE)
   }
   
   object{
       crossBars
       translate x*OrbitA*(1+OrbitE)
   }
   
   //Text
   union{
       text {
           ttf "timesi.ttf" "r" 1, 0
       }
       text {
           ttf "timesi.ttf" "p" 1, 0
           scale 0.5
           translate 0.2*x
       }
       pigment{ TextColor }
       finish{ ambient 1 brilliance 0 diffuse 0}
       scale Textscale
       translate <-(EarthRadius+0.3*(OrbitA*(1-OrbitE)-EarthRadius))-Textscale/4,Textscale/4,-7>
       no_shadow
   }
   
   union{
       text {
           ttf "timesi.ttf" "r" 1, 0
       }
       text {
           ttf "timesi.ttf" "a" 1, 0
           scale 0.5
           translate 0.2*x
       }
       pigment{ TextColor }
       finish{ ambient 1 brilliance 0 diffuse 0}
       scale Textscale
       translate <0.5*OrbitA*(1+OrbitE)-Textscale/4,Textscale/4,-7>
       no_shadow
   }

Captions

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7 March 2006

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File history

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Date/TimeDimensionsUserComment
current15:00, 7 March 2006300 × 300 (18 KB)Brandir~commonswiki{{Information| |Description = Animation showing the motion of a small body (green) in an Elliptic Orbit around a much more massive body (blue). |Source = Own work. Rendered with ''PovRay-3.0'', animated with ''gifsicle''. |Date = Created 7. Mar. 2006. |A

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