Calculation of the
average
distance from the Earth to the Sun by the gravitational parameter of the Earth and the finestructure constant
The calculation formula is the following:
where
µ
≈
3.9860·10^{14}
m^{3}/s^{2
}is
the
reference
value
of
the
Earth's
gravitational
parameter
(the
geocentric
gravitational
constant),
α
≈
1/137.04
is
the
finestructure
constant,
C =
c/299792458
=
1 m/s is a matching
coefficient
(c
is
the
speed
of
light
in
vacuum).
After deriving this formula, I tried to apply it to other planets of the Solar System
in order to obtain a direct dependence of their distances to the Sun
on the finestructure constant
by
using
standard gravitational parameters,
but I could not obtain such dependence. Thus, one should either acknowledge that the obtained
equation
is
an
accidental
coincidence or suppose that the Earth is a unique space object, at least in
our
Solar System.
