2D platform game with a slight rotational twist

The velocity dispersion up top, rotational speed on the bottom.

Originally, people thought that ellipticity is due to rotational flattening.

So when velocity dispersions and rotational speeds were measured for elliptical, to everybody's surprise back then, it was found out that shapes are not due to the rotational velocity.

Then, using vector analysis, you use rotational symmetry, and you get this next set.

And it can take that the ratio of maximum rotational speed to velocity dispersion.

Say, rotational speed of a galaxy. And the other one of which does, like luminosity.

Clearly, a helicopter in mid air that looks at rotational velocities would have 12 dimensions.

Meaning that they have too little rotational speed for their ellipticity and their radial velocity component.

One way to do your heuristic is to ignore the rotational degree of freedom and assume you're moving a disk in any direction.

Now, I'm gonna draw Earth at different points in its orbit and I will try to depict the tilt of its rotational axis.

Earth's rotational axis is at an angle to that vertical relative to the plane of its orbit, I guess you could say it.

The middle row shows the rotational velocity component and it's coded into two fashion, red ones going away from us, blue ones approaching us.

Once again, these are X, Y and Z delta X, delta Y, delta Z over time, and the velocities in the different rotational directions, which make a total of 9.

All of these methods take corners and reduce the various variants like rotational variants by extracting statistics that are invariant to things like rotation and scale and certain perspective transformation.

In some cases, there is actually a rotational component, those tend to be this elliptical, because in other cases there is no net overall rotation, but there is a lot of velocity dispersion.

If you think in terms of say, solar system, the velocities of outer planets are much slower than the velocities of the inner planets, for the reason, that the rotational potential in outer regions is much weaker.

And you can divide the two and so for purely rotationally supported oblate ellipsoids, that's a line in the diagram that shows the ratio of velocity to the rotational speed to velocity dispersion as a function of unknown .

And as they slide their hand down the lever, they can push with a smaller effective lever length, but push through a bigger angle every stroke, which makes a faster rotational speed, and gives you an effective high gear.

I now just initialized these positions remain numbers but also assume a certain amount of noise that goes with each particle, 0.05 for the translational noise, 0.05 for the rotational noise, and 5.0 for the measurement noise in those ranges.

And you can compute from simple dynamical models that for a given ellipsoid that's supported largely by rotation and has a commensurate amount of random motions, viewed from different angles, what should be the ratio between maximum rotational speed and velocity dispersion.

One important distinction between ellipticals and spirals is that, whereas, spirals have contained most of their kinetic energy in the ordered rotational motion, in the elliptical galaxies most of the kinetic energy is in the form of random motions, so we call them pressure supported stars moving like molecules in gas.

What that means is if I wanted to figure out what the rotational period is of the earth around the sun, all I have to do is measure these peaks, and it would come out to 365 days a very regular performance of language speakers using the term ice cream in the summer repeatedly year after year.

So, I'll leave you there in this video... I've left you just saying, okay, so the closeness to the sun to the sun does not dictate what season we are in, it's just saying, what is the reason, what we'll see in the next video, the reason is the tilt of the axis of the earth, the rotational axis of the earth.