Here is an example that I posted to a UseNet group that might be of interest to people on this forum:

First, I wrote:

The MCMIFM (the Momentarily Co-Moving Inertial Frame Montage) is the uniquely true and meaningful reference frame for the accelerating observer, because it is the ONLY reference frame that agrees with the observations and first-principle calculations that he himself can make. [...] My CADO reference frame is completely equivalent to the MCMIFM.

Then, I wrote:

I've given numerous examples that show how easy the CADO equation is to use ... MUCH easier than directly using the Lorentz equations, and much easier than using a Minkowski diagram. To refresh your memory, first read Section 2 of my webpage, which defines the CADO equation and its variables. Then read Section 3, titled "Idealized Instantaneous Velocity Changes", which shows in detail how the CADO equation is used. Be sure to read about the "delta_CADO" equation (which is only valid for instantaneous velocity changes), because it is especially easy and fast to use. All of the above is just a few pages ... shouldn't take you long. When you are done reading that, test your understanding by using the delta_CADO equation to determine how much the home twin ages (according to the traveler) if, when they are 40 ly apart (according to the home twin), the traveler instantaneously changes his speed from 0.8 ly/y, going toward her, to 0.9 ly/y, going away from her.

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https://sites.google.com/site/cadoeq...eference-frame