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File:Parabolic orbit.gif

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Parabolic_orbit.gif(300 × 300 pixels, file size: 11 KB, MIME type: image/gif, looped, 110 frames, 4.8 s)

rp Periapsis' Radius

Summary

Description Animation showing the motion of a small body (green) in a parabolic 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

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:

/*
--------------------------
Parabolic Orbit Animation
--------------------------
Created 7 Mar. 2006
*/
#include "colors.inc"

//Orbit Definition
#declare OrbitRp=6.356*1.8;

//Scene Constants
#declare EarthRadius=6.356;
#declare SatRadius=1.2;
#declare OrbitWidth=0.5;
#declare LineWidth=0.5/3;
#declare Crosslength=1.5;
#declare Textscale=9;
#declare TextColor=rgb<0,0,0>;
#declare xinit=-100;

//Variables
#declare Minit=2*OrbitRp*sqrt(2*OrbitRp-xinit)+pow(sqrt(2*OrbitRp-xinit),3)/3;
#declare M=Minit-2*clock*Minit;
#declare PI=3.14159265359;

//Anomaly Determination - Solves the equation M=2*OrbitRp*D+D^3/3
#declare p=6*OrbitRp;
#declare q=-3*M;
#declare A1=q/2+sqrt(pow(q,2)/4+pow(p,3)/27);
#if (A1>0)
    #declare U=pow(A1,1/3);
#else
    #declare U=-pow(-A1,1/3);
#end
#declare Anomaly=p/(3*U)-U;

//General settings
global_settings{
    ambient_light 1
}

light_source { <-50, 0, -70> color White }

camera {
  orthographic
  location <0, 0, -10>
  look_at  <0, 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
intersection{
    box{
        <-100,-100,-OrbitWidth>, <100,100,OrbitWidth> 
    }
    quadric{
        <0,1/(4*OrbitRp),0>,<0,0,0>,<-1,0,0>,-OrbitRp
        translate -x*OrbitWidth/2
    }
    quadric{
        <0,-1/(4*OrbitRp),0>,<0,0,0>,<1,0,0>,OrbitRp
        translate x*OrbitWidth/2
    }
    pigment{ rgb<0.8,0,0> }
    finish{ ambient 1 brilliance 0 diffuse 0}
    rotate 2.2*y
    no_shadow
}


//Satellite
sphere {
    <0, 0, -10>, SatRadius
    pigment { SeaGreen }
    finish{ ambient 1 brilliance 0 diffuse 0}
    no_shadow
    translate <-(OrbitRp-Anomaly*Anomaly/2),sqrt(2*OrbitRp)*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{
    <-OrbitRp,-LineWidth,-LineWidth-7>, <0,LineWidth,LineWidth-7> 
    pigment{ TextColor }
    finish{ ambient 1 brilliance 0 diffuse 0}
    no_shadow
}


object{
    crossBars
}

object{
    crossBars
    translate -x*OrbitRp
}


//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*(OrbitRp-EarthRadius))-Textscale/4,Textscale/4,-7>
    no_shadow
}

Captions

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7 March 2006

image/gif

File history

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Date/TimeThumbnailDimensionsUserComment
current00:26, 8 March 2006Thumbnail for version as of 00:26, 8 March 2006300 × 300 (11 KB)Brandir~commonswiki{{Information| |Description = Animation showing the motion of a small body (green) in a parabolic 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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