8. The Pioneer Anomaly Dansk

 

Five of the space probes that have been sent out to our Solar System reveal that our current understanding of gravity may be incorrect. It seems the sun, in these cases, exerts a stronger gravitational force than our current conception of gravity suggests.

 

The new theory presented on this website can resolve this mystery as well.

 

In previous chapters this new theory showed that we must make a distinction between two different ways that gravity affects space.

 

 

 

One of those ways considers the situation as two bodies approach one another. As this occurs, the space between those bodies becomes increasingly contracted.  This increasing contraction causes the acceleration due to gravity in that space to decrease proportionately.

 

Unfortunately, this decrease has misled us. We have been blinded by this decrease, so much so, that we have failed to consider that other factors may be at work.

 

 

 

 

 

The situation we must consider is that of bodies in orbit, and the gravitational effects which arise in the region of space encircled by such bodies."

Space will, in this case, become increasingly contracted as one moves towards the centre of the orbit. This leads to a gradual increase in the acceleration due to gravity as one approaches the centre.
  

Gravity exhibits properties of a domino-like effect, where each successive contraction leads further contraction in the adjacent region. This results in an extremely large gravitational force at the infinitesimal centre of the orbit (focus).

 

It is this principle that give rise to the Pioneer Anomaly.

 

 

 

 

 

The centre of a solar system gains gravitational force from the planets which orbit around it. It may sound strange, but the planet’s gravitational force remains unchanged.

 

The orbiting masses of the solar system (planets) are not evenly distributed around the sun. This distribution makes the simple acceleration due to gravity formula difficult to apply. The method for setting up the formula will be shown below, and is in fact rather simple.

 

Before we do that, it is necessary to take a deeper look into the notion of a ‘gravitational domino effect’.  

 

 

 

The space inside ring 'A' (see illustration above) is affected to the same extent as each of the successive rings (B and C). That is; the total gravitational force for rings A, B, and C are the same (see calculation below).

 

Ring A - Square 2x2=42M - 12M =

=

32M

Average force of gravity.  - 100m/s2 - 25m/s2  = 75m/s2 / 2

=

37,5m/s2

The total amount of gravity affecting space - 37,5m/s2  x 32M

=

112,5m2/s2

 

Ring B - Square 4x4=162M - 42M =

=

122M

Average force of gravity - 25m/s2 - 6,25m/s2  = 18,75m/s2 / 2

=

9,375m/s2

The total amount of gravity affecting space  - 9,375m/s2  x 122M

=

112,5m2/s2

 

This equivalency continues throughout the entire universe.

 

(Actually the value "112.5 m2/s2" is incorrect. The correct value is "100m2/s2" because the curvature due to gravity does not decrease evenly. However, this correction is beyond the scope of this discussion)

  

 

 

The table below shows how the radius changes with each successive ring.

Each ring’s radius is twice that of the preceding ring. Each time a rings radius doubles we know that gravitational force decreases by a factor of 4.

 

But as showed above, the total amount of gravity affecting space remains the same throughout all the rings.

 

It is important understand that gravitational force is unchanging as one moves towards, or away, from the centre of the rings. This is what is intended to be understood as a ‘domino-like effect’. The gravitational force continues to ‘repeat itself’; again and again, forever.

 

Ring

Radius (M)

1

1

2

2

3

4

4

8

5

16

6

32

7

64

8

128

9

256

11

512

12

1024

13

2048

14

4096

15

8192

16

16384

17

32768

18

65536

19

131072

20

262144

21

524288

22

1048576

23

2097152

24

4194304
 

Ring

Radius  (Meter)

Planets

25

8388608

  

26

1677216

 

27

33554432

 

28

67108864

 

29

134217728

 

30

268435456

 

31

536870912

 

32

1073741824

 

33

2147483648

 

34

4294967296

 

35

8.589934592E9

 

36

1.717986918E10

 

37

3.435973837E10

 

38

6.871947674E10

 Mecury 5,79 E10

39

1,374399535E11

 Venus 1,082 E11

40

2,748779069E11

 Earth  1.496 E11

41

5,497558139E11

 Mars  2.279  E11

42

1,099511628E12

Jupiter 7,7857   E11

Saturn 1,43353  E12

43

2.199023256E12

 

44

4.398046511E12

Uranus 2,872,46 E12

45

8.796093022E12

 Neptun 4,495,06 E12
     

 

 

Let us assume that the mass of the earth is distributed homogeneously, like a huge blob of matter, within the confines of ring 40.

 

 

 

 

According to the prevailing understanding, we would expect the gravitational force to decrease as one moves outward through rings further from the centre (e.g. to ring 41). The new theory does not reject this claim.  But the prevailing understanding would claim that we should not expect the acceleration due to gravity, as one moves inwards, (towards ring 39) to increase. However, this increase is predicted by our new theory. This apparent paradox can be logically reconciled.  As one moves inwards, gravity increases by 75% for each successive ring, simply because space in that ring has decreasing by exactly the same factor (75%).

 

We can say that when space is ensnared by an orbiting body, a domino-like effect will continue towards both inner and outer space.

 

 Decreasing Acc. due to gravity

Ring 41

 6,67 x 10-11 x 5.97x1024

=

 0,000000001m/s2
(5,497558139 x 1011)2
       

 The Mass

Ring 40

 6,67 x 10-11 x 5.97x1024

=

-
(1,496 x 1011)2
       

  Increasing Acc. due to gravity

Ring 39

 6,67 x 10-11 x 5.97x1024

=

  0,000000021m/s2
(1,374399535 x 1011)2

 

This is explicitly stated in the formula of gravitational acceleration. If we do not augment the current formula we should have no problem understanding the increasing nature of space curvature towards the centre of a planets orbit.

 
 

 

 

An increasing gravitational field requires that matter encircle, or trap, space.

 

In other words, at the moment that all the planets of our solar system are in line, and thereby not ‘trapping’ the systems central region, there will be no central gravitational effect and hence no Pioneer Effect. This prediction makes it possible to put the new theory to the test.

 

It also means that, even though Jupiter contributes with a magnitude similar to the other planets, most of this contribution is 'wasted'. This occurs because gravity must homogeneously encircle (or trap) the central region of the solar system if any additional force is to arise.

 

Variations in the extra central force of gravity are therefore expected. This value will vary with the planets relative locations, and how well their motions encircle a region of space.

 

It is also expected that the inner solar system will exhibit gravitational anomalies that reflect each planets contribution. This is what the data from the space probes is really showing us.

 

 

 Planet

Distance (M)

from the sun

Mass

Acc. due to gravity m/s2

 Central Solar system

 Mercury

   5,79 x 109

0,3302 x 1024

0,000065697

 Venus

  108,2 x 109

4,8685 x 1024

0,000000028

 Earth

  149,6 x 109

5,9736 x 1024

0,000000018

 M ars

  227,9 x 109

0,6419 x 1024

0,0000000008

 Jupiter

   778,57 x 109

1898,6 x 1024

0,000000209

 Saturn

1433,53 x 109

568,46 x 1024

0,000000018

 Uranus

2872,46 x 109

86,832 x 1024

0,0000000007

 Neptun

4495,06 x 109

102,43 x 1024

0,0000000003

 

The big question remains….How can we quantitatively test this theory?

 

The planets acceleration due gravity that reaches the centre of the sun will reflect the collective force of gravity exerted by all planets in our solar system. The extent of contribution from different planets varies significantly from planet to planet. The influence of 3 planets Mars, Neptune, and Uranus contribute very little, and are therefore deemed insignificant for the purposes of our calculation.

 

The force exerted by Jupiter is strong. Jupiter alone could 'counteract' the gravity of several other planets, granted the planets be arranged in an appropriate fashion. Jupiter is, in fact, too strong and part of its contribution will not be used at all. 

 

The most significant contribution is from only a few planets, namely: Venus, Earth, Saturn, and Jupiter. Mercury, because of its close proximity to the sun’s centre, contributes to a much greater extent than one would predict.

 

 

The planet’s contribution to the gravitational force at the centre of the solar system depends not only on the strength of individual planets contributions, but on how well the planets 'cooperate'.

 

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