Precession of perihelion calculation
The Universe is environment without real hard point to which we can refer while perform measuring. When precession of perihelion is observed, what we actually relate to are different perihelion position combinations of observed orbits.
On its orbital trajectory, celestial body doesn’t travel through a space but its speed is in fact space speed of its orbit, which relatively differs at perihelion and aphelion. From equations for orbital velocity asserted i "Universal principle of orbits" it is obvious that it doesn’t depend on rotational body mass (relativistic mass in GR) so as the acceleration speed doesn’t depend on falling bodies mass.
Since each orbit has a different dilation (different space, time, speed of light, energy…), what we observe is the manifestation of that difference.
It implies a different (dilated) orbital velocity for each orbit. When calculating relative orbital velocity measured from our RF with our constant speed of light;
the corresponding dilatational amount for observed orbital system should be calculated;
Observed precession is the result of that difference (voD - vo).
So we have equation;
Where “P” is precession, 3600 is since we express it in arc seconds, “p” is the orbital period difference according to Earth’s year (p1/p2), “sp“ is the synodic period in seconds of observed orbit and “o” stands for its orbital circumference.
Since the product of “p” and “sp“ of observed orbit equals to Earth’s synodic period “spE“ we derive;
which equals to
The product of Earth’s synodic period and 3600 arc seconds is a constant value for which we introduce Greek symbol “Γ"
The result is the equation for precession expressed through different space-time-speed aspects;
The results of equations above correspond to observed arc seconds annual precession values.
It comes forth that observed precession is the value for orbital dilation and orbital gravitation calculation;
It further implies;
and
So from there we have the equivalence principle;
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