View from outside and inside a rotating & charged black hole (a²+℧²=2·0.7²=0.98). This page is a subchapter of raytracing.yukterez.net and kerr.newman.yukterez.net, for details click here (back to the parent article)
![](http://www.yukterez.net/org/nix.gif) ![cartesian projection, onmouseover: world map projected slightly above the outer event horizon](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.black.hole.with.accretion.disk.undistorted.view.png)
Above: projection into flat space (rᵢ=1.63678, rₐ=7 → Rᵢ=1.780184, Rₐ= 7.034913), below: raytraced perspectives of local observers; left: raindrop perspective (free fall from ∞), right: ZAMO perspective (at constant r)
![](http://www.yukterez.net/org/nix.gif)
θ=80°, r=12
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.1c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.1c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.1f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.1f.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.1b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.1b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.1c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.1c.gif)
![](http://www.yukterez.net/org/nix.gif)
θ=80°, r=4
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.2c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.2c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.2f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.2f.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.2b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.2b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.2c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.2c.gif)
![](http://www.yukterez.net/org/nix.gif)
θ=80°, r=r₊
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.3c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.3c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.3f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.3a.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.3b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.3b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.3c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.3c.gif)
![](http://www.yukterez.net/org/nix.gif)
θ=80°, r=r₋
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.4c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.4c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.4f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.4a.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.4b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.4b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.4c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.4c.gif)
![](http://www.yukterez.net/org/nix.gif)
θ=80°, r=0.5
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.5c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.5c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.5f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.5f.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.5b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.5b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.80.degree.5c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.80.degree.5c.gif)
![](http://www.yukterez.net/org/nix.gif)
θ=45°, r=12
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.1c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.1c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.1f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.1f.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.1b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.1b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.1c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.1c.gif)
![](http://www.yukterez.net/org/nix.gif)
θ=45°, r=4
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.2c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.2c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.2f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.2f.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.2b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.2b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.2c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.2c.gif)
![](http://www.yukterez.net/org/nix.gif)
θ=45°, r=r₊
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.3c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.3c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.3f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.3a.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.3b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.3b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.3c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.3c.gif)
![](http://www.yukterez.net/org/nix.gif)
θ=45°, r=r₋
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.4c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.4c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.4f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.4a.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.4b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.4b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.4c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.4c.gif)
![](http://www.yukterez.net/org/nix.gif)
θ=45°, r=0.5
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.5c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.5c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.5f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.5f.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.5b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.5b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.45.degree.5c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.45.degree.5c.gif)
![](http://www.yukterez.net/org/nix.gif)
θ=10°, r=12
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.1c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.1c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.1f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.1f.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.1b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.1b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.1c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.1c.gif)
![](http://www.yukterez.net/org/nix.gif)
θ=10°, r=4
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.2c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.2c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.2f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.2f.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.2b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.2b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.2c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.2c.gif)
![](http://www.yukterez.net/org/nix.gif)
θ=10°, r=r₊
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.3c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.3c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.3f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.3a.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.3b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.3b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.3c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.3c.gif)
![](http://www.yukterez.net/org/nix.gif)
θ=10°, r=r₋
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.4c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.4c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.4f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.4a.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.4b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.4b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.4c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.4c.gif)
![](http://www.yukterez.net/org/nix.gif)
θ=10°, r=0.5
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.5c.png) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click for details](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.5c.png)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.5f.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.5f.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.5b.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to enlarge](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.5b.gif)
![](http://www.yukterez.net/org/nix.gif) ![free falling observer, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.raindrop.doran.coordinates.raytracing.10.degree.5c.gif) ![](http://www.yukterez.net/org/nix.gif) ![ZAMO perspective, click to expand](http://www.yukterez.net/org/relativistic.raytracer/kerr.newman.boyer.lindquist.coordinates.raytracing.10.degree.5c.gif)
![](http://www.yukterez.net/org/nix.gif)
Frequency shift, color code:
![](http://www.yukterez.net/org/nix.gif) ![gravitational and kinematic frequency shift](http://www.yukterez.net/org/relativistic.raytracer/colorcode.png)
![](http://www.yukterez.net/org/nix.gif)
Codes and graphics by Simon Tyran, Vienna (www.yukterez.net) -|- The reuse of the code, images and animations is permitted under the Creative Commons License, CC BY-SA 4 -|- Click here to get back to the parent article
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