PIONEER ANOMALY AND COSMIC DECREASE OF GRAVITY
The modified Hubble-law

By Louis Nielsenhttp://www.rostra.dk/louis

THE PIONEER-ANOMALY.
When all known forces acting on the Pioneer spacecrafts are taken into
consideration, a very small but unexplained force remains. It appears
to cause a constant sunward acceleration for both spacecraft.
It is observed that the Pioneer spacecrafts has a negative
acceleration-anomaly about
a(anomaly) = 8*10^(-10) m/s^2.

COSMIC DECREASE OF GRAVITY. THE MODIFIED HUBBLE-LAW.
In the following considerations about a modified Hubble-law where the
Hubble-function H(T) is determined by a decreasing gravitational
‘constant’ G according to the relation:

(1)  H(T) = - (dG/dT)*(1/G) = (1/3)*(1/T)

In equation (1) (dG/dT) is the time derivative of the variable
decreasing gravitational ‘constant’ G and T is the actual age of the
Universe.
The mathematical connection between H(T) and T gives a hyperbola
curve.

The modified Hubble-law is given by:

(2)  v(T) = H(T)*D(T)

In equation (2) v(T) is the radial velocity of an object at the time T
the actual age of the Universe and D(T) is the distance from an
observer to the object at the time T.

By differentiation of the velocity in equation (2) we get the
acceleration a(T) of the object at the time T when it is in a distance
D(T). We get:

(3)  a(T) = (- 2/9)* (D(T)/T^2)

From equation (3) we see that the acceleration a(T) is negative. The
velocity v(T) of the object is decreasing.

We can rewrite equation (3) so we have a relationship between a(T),
v(T) and T. We get:

(4)  a(T) = (-2/3)* (v(T)/T)

From equation (4) we see that the negative acceleration, the
deceleration, of a given object is inversely proportional to the
actual age T of the Universe and directly proportional to the actual
velocity v(T).

If T = 13*10^9 years = 4.1*10^17 sec and v(T) = 1*10^7 m/s (greater
than the real velocity) then we get a very small value for the
acceleration a(T) given by:

(5)   a(T) = - 0.2*10^(-10) m/s^2

The value in (5) is of the order of the measured acceleration-anomaly.

Is the observed acceleration-anomaly of the Pioneer Probes caused by a
cosmic decrease of the gravitational ‘constant’ and maybe explained by
the above considerations?

Best regards
Louis Nielsen
Denmarkhttp://www.rostra.dk/louis

Well you found that the swing force may apply to rotating planets too,
not just spiral galaxies. This means that in any swinging rotation of
bodies around the center, there is always more gravity.

www.geocities.com/gmbajszar/BreakPedalEffect.htm

COSMIC DECREASE OF GRAVITY. THE MODIFIED HUBBLE-LAW.
In the following considerations about a modified Hubble-law where the
Hubble-function H(T) is determined by a decreasing gravitational
‘constant’ G according to the relation:

(1) H(T) = - (dG/dT)*(1/G) = (1/3)*(1/T)

In equation (1) (dG/dT) is the time derivative of the variable
decreasing gravitational ‘constant’ G and T is the actual age of the
Universe.

Louis_N@edu.herlufsholm.dk> wrote in message
news:1c5e632b-6dba-4566-8fe1-ccad14fe81ec@p25g2000hsf.googlegroups.com...
| PIONEER ANOMALY AND COSMIC DECREASE OF GRAVITY
The modified Hubble-law

| By Louis Nielsen
| http://www.rostra.dk/louis

| THE PIONEER-ANOMALY.
| When all known forces acting on the Pioneer spacecrafts are taken into
| consideration, a very small but unexplained force remains.


No it doesn't, the crank Einstein shift was applied where Doppler shift was
is
and remains appropriate.
The "unexplained" force is --- ya got ya sums wrong.

"Androcles" <Headmas...@Hogwarts.physics> writes:
Loui...@edu.herlufsholm.dk> wrote in message
news:1c5e632b-6dba-4566-8fe1-ccad14fe81ec@p25g2000hsf.googlegroups.com...
|PIONEERANOMALYAND COSMIC DECREASE OF GRAVITY
The modified Hubble-law

| By Louis Nielsen
|http://www.rostra.dk/louis

| THEPIONEER-ANOMALY.
| When all known forces acting on thePioneerspacecrafts are taken into
| consideration, a very small but unexplained force remains.

No it doesn't, the crank Einstein shift was applied where Doppler shift was
is
and remains appropriate.
The "unexplained" force is --- ya got ya sums wrong.

This statement is incorrect. If the classical Doppler shift is used
instead of the relativistic one, thePioneersolution actually becomes
much worse.

news:1c5e632b-6dba-4566-8fe1-ccad14fe81ec@p25g2000hsf.googlegroups.com...
| > > |PIONEERANOMALYAND COSMIC DECREASE OF GRAVITY

On 27 Apr, 18:33, Craig Markwardt
craigm...@REMOVEcow.physics.wisc.edu> wrote:

This statement is incorrect. If the classical Doppler shift is used
instead of the relativistic one, thePioneersolution actually becomes
much worse.

The classical (first order) Doppler shift was actually used by
Anderson et al. in their paper (see Eq.(15) in [...]
).