"Greg Neill" escreveu na mensagem
m...
"El Enrrabadore-mor" wrote in message


Some times Physics has no tool for a given
problem, say top/gyroscope for instance.
The fact that Nutation and Precession axes
are independent (as you said) and because
no such Physics tool exist, leaves the
problem unsolved Today.
If you have a minimum of 100 hours available
I can prove you what I'm saying and you will
travel deep inside a gyroscope, right to its
heart.

A book covering gyroscopic precession:

"Rotating Coordinates as Tools for Calculating Circular
Geodesics and Gyroscopic Precession"
http://www.springerlink.com/content/h5pr743851871810/

A web page with relevant mathematical analysis:

http://mb-soft.com/public/precess.html

Many thanks for the links.
The book looks to deal only with precession.
I need precession and nutation in a row.
Nevertheless, I see a (phi-wt) like in my work too,
which is a key feature I've learn from the book
below. Also I see the said 4-accelerations (which
are torques so to speak, since mass doesn't vanishes
from the problem).
There are 4-acceleration for Precession and
5-accelerations for Nutation.
If you have the book, I can point you the
said 4-accelerations and you can compare
then with the book.

My reference is this book:
http://www.amazon.co.uk/Introduction...5682911&sr=1-1
I have the "pdf" file with the relevant stuff of
the book as the main reference.

The link you provide fall into Euler's equation
of motion, which I've deduced easy.
Euler's equation of motion cannot solve the
problem, nor it seams to work for a sphere.
If the gyroscopic mass is a sphere, all its
mass inertia moments are equal and you
end up with nothing.
Physically, the result for a sphere will be that
a sphere won't precess, contrary to evidence.

Clearly, something is missing.
The best way to solve it is to follow Newton's,
Lagrange and a vectorial method.
Those work perfectly fine for a sphere and
include Nutation + Precession and show the
harmonic motion seen in experiment.
I'm going to print and read the link.
However my starting point seams to be
far beyond that link, and relativity is not
involved, it's simply classic mechanics.
Many thanks.