Much appreciated as ever. I agree that dr / dt is not zero at the angle phi = pi / 2 that defines the half right latitude alpha, but any elliptical orbit is characterized by a constant alpha and a constant eccentricity epsilon. So defining alpha as a constant, d alpha / dt = 0. So r has been defined as the constant alpha at phi = pi / 2.
Date: Tue, Mar 13, 2018 at 4:48 PM
Subject: Re: 403(1): Analytical Solution for the Precession Angle of the ECE2 Covariant Orbit
To: Myron Evans <myronevans123>
The relation
d^2u/dphi^2 = 0
follows directly from the assumption r=alpha. At this point the radial velocity is not zero, so I would avoid arguments like eqs. (12-14).
That the second derivative d^2u/dphi^2 vanishes does not mean that the first derivative du/dphi vanishes. This is not the case here. Therefore eq.(11) seems not justified to me. Furthermore, eq.(11) does only hold for r=alpha, therefore it should be set r=alpha at the RHS. Unfortunately the subsequent development then becomes obsolete. Maybe I am overlooking something here.
Horst
Am 03.03.2018 um 14:33 schrieb Myron Evans:
This is given by the formula (29) which is valid for small precessions. Precise agreement with experimental data can be found by adjusting the relativistic angular momentum L