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johanley / special-relativity-core

Explore the consequences of the Lorentz Transformations by writing code that implements special relativity.
MIT License
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Night sky, elbow boost - what's the resulting appearance of the sky? #61

Closed johanley closed 2 weeks ago

johanley commented 2 weeks ago

From the idea of an equivalent boost+rotation, the result must be one-lobed.

But in my mind's eye, I see two lobes. The second boost starts from a non-isotropic starting point.

Could it be a single, asymmetric lobe? But that too seems to contradict the idea of an equivalent boost+rotation.

What's going on here?

My best guess at present: it's one-lobed, but the axis of symmetry is not in the direction of travel.

johanley commented 2 weeks ago

Here's a calc showing one lobe. doppler-cone-elbow-boost

johanley commented 2 weeks ago

It would be nice to have an animation of this.