Another Error of Einstein: The Calculation of Starlight Bending
Einstein's 1915 formula for calculating the bending of light
by the gravity of the Sun is wrong. It gives a twice bigger result
than what is do***ented.
The cause of the error of Einstein seems to be his wrong use
of the unit "arcsecond". Let's see:
As everybody knows the angular measure of an object
is usually expressed in degrees, arcminutes and arcseconds:
1 degree = 1/360 of a circle
1 arcminute = 1/60 of a degree
1 arcsecond = 1/60 of an arcminute = 1/3600 of a degree
So we can say a circle has that much arcseconds:
ARCS = pi / (360 * 60 * 60) = pi / 1296000
Soldner in 1801 applied Newton's laws to get this result:
a = 2*G*M/(R * c^2)
Einstein's 1915 solution is twice that of Soldner:
a = 4*G*M/(R * c^2)
Let's solve both using these data:
M = Mass of Sun = 1.9891E30 kg
R = Radius of Sun = 6.955E8 m
a(Soldner) = 4.246614480E-6
a(Einstein) = 8.493228960E-6
Result(Soldner) = 4.246614480E-6 / ARCS = 1.75 arcseconds
Result(Einstein) = 8.493228960E-6 / ARCS = 3.50 arcseconds
CONCLUSION:
The wrong formula is Einstein's formula, not Soldner's!
Einstein has just taken only the halve of his wrong result
by calculating it this way:
Result(Einstein) = 8.493228960E-6 / ARCS / 2 = 1.75 arcseconds
Ergo:
Soldner's formula from the year 1801 is correct, whereas
it is Einstein's formula which is wrong!
See also this analysis from the year 1981 on the Soldner paper:
http://adsabs.harvard.edu/full/1981AN....302..275T
"On Soldner's Value of Newtonian Deflection of Light",
H.-J.TReder, in Astron.Nachr., Bd. 302, H.6 (1981)
<CITE> It is shown that in SOLDNER's publication of 1801 the angle
of deflection for light in the sun's gravitational field is given
with the correct Newtonian value. A factor of 2, which had been the
occassion for misinterpretation, has to be attributed to the terminology
used by German physicists and astronomers of that time."</CITE>
The formula of Soldner (ie. Newton) is correct.
The cause of confusion is the wrong use of the unit "arcsecond"!
|
