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The
['] means "increased"
From
(1) and (2) we have:
a
= Mo G/ r^2 (5)
From
(3) and (4) we have:
a'
= M'o G/ r^2 (6)
Dividing
(6) by (5)
a'/a
= (M'o G/ r^2) / ( Mo G/r^2) = M'o/Mo (7)
But
M'o = Mo + Moin (8)
Moin
= Solar mass increment
Equation
(7) is written:
a'
= a [ (Mo + Moin)/ Mo] (9)
a'
= a ( 1 + Moin/Mo) (10)
The
term Moin/Mo represents the increasing acceleration per AD compared to
Classical Mechanics; that is what is actually used.
It
is important for the reader to note that the term Moin/Mo is note only
dependent on Moin, but also on Mo. (We codify this phrase as "Ph.").
In
section E4 in the AD book [2] one finds the value for the solar mass
increase per century as follows: Ic = 6.4617 10^25 gr/century. In
Appendix 14 the Sun's mass is given as Mo = 1.987 10^33 gr. Given that
Pioneer traveled 25 years, we will take Ic/4 as the solar mass increment.
Moin/Mo
= (6.4617/4 10^25) / 1.987 10^33
= 0.8 10^-8 (11)
This
value is 10 times smaller than the value found in [1] equal to 8.5 10^-8
cm/s^2. For "Ph" the value of a century will be used:
Moin/Mo
= 6.4617 10^25 / 1.987 10^33 = 3.3 10^-8 (12)
This
is of the same order of magnitude as <<was described by NASA but
smaller than the value found.
Of
course, using the increasing mass for two centuries the value is:
Moin/Mo
= *2 * 6.4617 10^25) / 1.987 10^33 = 6.6 10^-8
(13)
As
we will show later on, time has no any special meaning here because we
"don't know" WHEN the "current" value of solar mass "started" (or was
calculated).
What
are we trying to demonstrate?
Before
answering the question we need to point out how we arrive at this answer.
The solar mass is of the order 10 to the 33rd power, and the increasing
mass is on the order of 10 to the 25th. The latter number is eight decimal
positions to the right of the former.
Graphically
What
does this mean? Remembering "Ph", this simply means that the solar mass
used to calculate the actual solar system motion is not the real value
of the actual solar mass. It would only be necessary to increase solar
mass by 16.8895 10^25 to correct the anomaly. This correction represents
17 parts per 100 million or 1 part per 6 million.
In
a word: the value used for solar mass does not include the increasing
mass postulated by the AD Pico-Graviton absorption. If the solar mass
were corrected to the 12th decimal position the spacecraft slowdown would
disappear! Once mass increase is accepted, the current solar mass
correction time will play an important role regarding the increasing mass
per second after the launch of the spacecraft. In the future it will be
possible to obtain values to establish a correct Pico-Graviton mass[3].
Correction
of the solar mass is now possible using the data given by a few spacecraft
traveling in our Solar System.
Of
course, as we said in our first e-mail, specialists should undertake a
detailed and technical calculation, and those specialists are indubitably
in NASA Jet Propulsion Laboratory at Pasadena.
Speaking
conceptually, even though the values could change a little, or the equation
(15) (A14) itself, the article's authors are right.
We
will mention here two of the authors' observations. In the middle of column
one on page 3, they say [2]:
"With
all the above, it is interesting to speculate on the possibility that
the origin of the anomalous signal is new physics [10]. This is true even
though the probability is that some "standard physics" or some as-yet-unknown
systematic will be found to explain this "acceleration." This probability
is of interest in itself, given that we have found no plausible explanation
so far."
It
is not a "New Physics." It is "standard physics." It is AD's Universal
Gravitation. AD knows the "as-yet-unknown." It is Autodynamics' Physics,
a revolution of ideas through AD's actualization of the old conception
of Graviton plus the universalization of energy absorption and mass decay,
using the Pico-Graviton of AD's Universal Gravitation.
Regarding:
"Is
it dark matter or a modification of gravity? Unfortunately, neither easily
works."
They
conclude, taking account the accuracy of the ephemeris that only a variation
of "a few times 10^-6 Mo" is allowed.
Autodynamics
increasing mass value is 16.8895 10^-8 or 1.68895 10^-7 that is
one order of magnitude smaller.
Regarding
the Neutrino the authors say:
This
is not a surprise for Autodynamics. They also rule out GR.
While
a New Paradigm is unknown to the general community it is difficult to
see the truth. To show this we will quote John Ries[4], a planetary scientist
at the University of Texas at Austin:
"I
cannot believe a new gravitational force is involved, because that should
affect the motion of the planets."
This
is precisely why we start this paper with " The force that causes the
planet's perihelion advance is also responsible for the spacecraft slow-down"
In
a further technical paper some technical comments from the original paper
will be added, even though our calculation is, for the moment, the only
one currently possible because a complete technical calculation would
require the vast resources of the Jet Propulsion Laboratory, notably specialists,
computer facilities and the huge quantity of data needed for the complex
calculation.
AD
explains the Spacecraft slowing down both qualitatively and quantitatively.
This
may in fact be one of the most important discoveries of this century,
and AD explains it with astonishing simplicity!
Carezani-Haye.
Edited by Brian F. Hall and David de Hilster.
References
[1].-
J. D. Anderson et al. "Indication, from Pioneer 10/11, Galileo, and Ulysses
Data, of an Apparent Anomalous, Weak, Long-Range Acceleration." At http://xxx.lanl.gov
code
gr-qc/9808081 28 Aug. 1998.
[2].-
R. L. Carezani, Autodynamics. Fundamental Basis for a New Relativistic
Mechanics. SAA, 801 Pine Ave., Long Beach, CA. 90813. USA.
[3].-
U. J. Balis,. Private communication. Pico-Graviton mass =~ 8.08 10^-82
kg, density =~ 6.7 10^53 particles/m^3 and velocity =~ 27 c.
[4].-
C. Seife, "If the force is with them....". New Scientist, 12 September
1998.
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