In chapter 21 of your book you write: “Since Earth also spins around its axis every 24 hours or so, it follows that the path traced by a man (standing still for a full year) will be a trochoid” with the following accompanying image:
I’m somewhat confused: how exactly does the Earthly observer’s frame of reference form a [prolate] trochoid (a loopty loop)?
I’ve read or heard you say that the motion of a light on a bicycle wheel creates a prolate trochoid, but to do so the light would have to be fixed outside the circle of the bicycle wheel which is physically impossible against a road surface.
In the first image above from your book, ‘Jim’ (the Earthly observer), who is standing at a fixed position on Earth as viewed from above the North pole, is not moving, yet in the duplicated Earth images he appears as if he is changing geographical positions from month to month (in March at or around London, in April at or around Moscow, etc.). I am sure his apparent geographical location is unimportant, so I am trying to understand how this looping frame of reference works.
I can imagine a prolate trochoid motion produced from a fixed point located outside a rotating circle and with the horizontal motion equal to the rotating circumference motion (as in the above gif), but in your yearly PVP Earthly motion example this is not so: the Earth is rotating sort of in place (about 365 times), and only moving, according to the binary geo-heliocentric model, a little more that once its diameter, as in the below image from your book:
I haven’t found any experimental demonstration of a rapidly rotating / very slowly moving circle with a fixed point of light that could help conceptualize your model.
Thanks for reading