File:CelestialSphere.jpg
| Description |
This is a demonstration which shows the magnified effect of what would have happened if Earth moved around the Sun at the speed of 0.7c. This model allows us to see the distortion in the celestial sphere. The change in color is due to the Doppler effect. Black arrow shows direction of movement. The North Star would be seen at an angle to its usual place. Animation: Media:CelestialSphere.gif File:Doppler-velocity89.jpg
In this diagram, the blue point represents the observer. The x,y-plane is represented by yellow graph paper. As the observer accelerates, he sees the graph paper change colors. Also he sees the distortion of the x,y-grid due to the aberration of light. The black vertical line is the y-axis. The observer accelerates along the x-axis Animation: Media:XYCoordinates.gif
File:Subway02.jpg
On this image the observer (blue point) is inside the subway. Velocity is zero. This is the first frame of an animated model of movement through a subway tunnel at an increasing speed.
Animation: Media:RelSubway2.gif File:Subway03.jpg
This is an image of the same model. It captures the time when the observer's (blue point) velocity is equal to 0.7 of the speed of light.
Animation: Media:RelSubway2.gif File:Subway01.jpg
The outside view of the subway from the same model. However, no observer can see the tunnel like this.
File:SphereAberration01f.jpg
Sphere moving towards observer.
Animation: Media:SphereAberration01.gif File:SphereAberration01b.jpg
View of observer inside the sphere.
Animation: Media:SphereAberration01.gif File:SphereAberration02b.jpg
Sphere moving away from observer.
Animation: Media:SphereAberration01.gif
|
|---|---|
| Source |
Own work |
| Date |
18 August 2006 |
| Author | |
| Permission (Reusing this file) |
See below. |
Summary
This is a demonstration which shows the magnified effect of what would have happened if Earth moved around the Sun at the speed of 0.7c. This model allows us to see the distortion in the celestial sphere. The change in color is due to the Doppler effect. Black arrow shows direction of movement. The North Star would be seen at an angle to its usual place. Animation: Media:CelestialSphere.gif
Next pictures show a model of movement through a subway tunnel at an increasing speed. Observer would not only see changes in colors but the outer walls will also appear convex. This convex appearance is due to seeing parts of the tunnel at different moments in time because of the finite speed of light. This effect is called aberration of light.
Animation: Media:RelSubway2.gif
Animation: Media:RelSubway2.gif
This images shows a sphere moving at 0.7c relative to a stationary observer (blue point). Curved lines represent the xy grid coordinates of a moving system.
Animation: Media:SphereAberration01.gif
Animation: Media:SphereAberration01.gif
Animation: Media:SphereAberration01.gif
All of these images are graphical solutions produced from an accurate mathematical model based on the Lorentz transformation.
Licensing
Lua error in package.lua at line 80: module 'strict' not found.Lua error in package.lua at line 80: module 'strict' not found.
Lua error in package.lua at line 80: module 'strict' not found.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 18:24, 11 February 2023 | | 283 × 253 (20 KB) | Thales (talk | contribs) |
- You cannot overwrite this file.
File usage
There are no pages that link to this file.
