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解説Angular Parameters of Elliptical Orbit.pngRaytraced image showing the concepts of inclination (i), longitude of the ascending node (Ω), argument of the periapsis (ω), and true anomaly (ν) for a "minor" object in an elliptic orbit around a larger object.
日付2005年11月23日 (当初のアップロード日)
原典コンピュータが読み取れる情報は提供されていませんが、投稿者自身による著作物だと推定されます（著作権の主張に基づく）
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 この 画像はPOV-Rayで作成されました。目次

1 概要

1.1 Description (English)

1.1.1 Legend

1.1.2 Raytracing

1.1.3 Multiple images in one scene description


1.2 Beskrivelse (Dansk)

1.2.1 Nogle

1.2.2 Raytracing

1.2.3 Fire billeder ud af en beskrivelse



2 ライセンス

3 POV-Ray scene description

概要
Description (English)

Raytraced image showing the concepts of inclination (i), longitude of the ascending node (Ω), argument of the periapsis (ω), and true anomaly (ν) for a "minor" object in an elliptic orbit around a larger object.
Legend

Letters in the image denote:

A ? Minor, orbiting body

B ? Major body being orbited by A

C ? Reference plane, e.g. the ecliptic

D ? Orbital plane of A

E ? Ascending node

F ? Descending node

G ? Periapsis

H ? Apoapsis

i ? Inclination

J ? Reference direction; for orbits in or near the ecliptic, usually the vernal point

Ω ? Longitude of the ascending node

ω ? Argument of the periapsis

ν ? True anomaly

The red line is the line of apsides; going through the periapsis (G) and apoapsis (H); this line coincides with the major axis in the elliptical shape of the orbit

The green line is the node line; going through the ascending (E) and descending node (F); this is where the reference plane (C) intersects the orbital plane (D).
Raytracing

This image was created using the Persistence of Vision Raytracer and the scene description code below: You can use this free raytracing package and the scene description below to re-render the image in new resolutions, or modify the description and thus the image being rendered.

A few notes of caution for those who want to do their own renditions of this image:

The "camera" (viewpoint) assumes that the image format is square (i.e. has the same number of pixels in width and height) - to achieve this, use the +w and +h command line options to set the same number of pixels in width and height, respectively.

This image comes complete with the letter annotations, and for this, the POV-Ray installation needs access to the TrueType fonts timesbi.ttf (Times new roman, bold and italic) and symbol.ttf (for greek letters). These come as standard on a Microsoft Windows installation, so this image should at least be able to render in POV-Ray for Windows.

A little "dirty trick" is used to put those annotations there; they are text objects placed right in front of the "camera" that "sees" the scenario. Because of this, if you modify the camera location and/or look_at-point in the code, you need to either delete the annotations or make sure they "move with" the camera.

Multiple images in one scene description

Rendering the POV-Ray scene description as shown below renders this image, showing all four angles of the orbital elements: the two remaining orbital elements not shown here are semimajor axis and eccentricity. Using this scene description, you can generate various views (isometric, normal to reference plane, normal to orbit plane) and display various features of the Keplerian orbit. You can also set the background color and whether to display the Cartesian coordinate axes.

The view variable declaration reads:#declare view=0;

view = 0 sets the camera to an isometric view

view = 1 sets the camera to a view normal to the reference plane

view = 2 sets the camera to a view normal to the orbit plane

The backgroundColor variable declaration reads:#declare backgroundColor = 0;

backgroundColor = 0 sets the background color as white

backgroundColor = 1 sets the background color as black

The featureCode variable declaration reads:#declare featureCode = 0;

featureCode = 0 displays all four Keplerian orbit angles (seen here)

featureCode = 1 displays the argument of the periapsis only (see Image:Argument of Periapsis in Elliptical Orbit.png)

featureCode = 2 displays the longitude of the ascending node only (see Image:Longitude of Ascending Node in Elliptical Orbit.png)

featureCode = 3 displays the orbit inclination only (see Image:Inclination in Elliptical Orbit.png)

featureCode = 4 displays the true anomaly only (ADD IMAGE HERE)
Beskrivelse (Dansk)

Raytracet billede der demonstrerer inklination, den opstigende knudes langde og periapsisargumentet for et mindre himmellegeme i elliptisk kredslob om et storre.
Nogle

Bogstaverne i billedet angiver:

A ? Det mindre himmellegeme