RR & SW's Influences on Space Satellites

The Fly-by Anomaly - ( Accelerating Space Probes)

 

The influences of RR & SW.
  1

How to calculate the RR affects planets here
  2

How much the RR affects satellites here

3

How much the SW affects Satellites & Space Probes here

 

Some space probes that fly close to the Earth in "gravity assist manoeuvres" are affected by a unknown acceleration.  Space probes are during such manoeuvres often approaching the Earth very close.  This is decisive for the magnitude of the Space wind.  Read more >  here .

 

V = RM/Qr²

 

Below is how the space near Earth is affected by SW

 

Calculation of velocity in Satellite Orbits (m/s)

Distance from Surface

Radius (total)

Mass

Constant (G)

Velocity (v)

 

v= √ GM/r

 (=) are

0 km

6.378 * 106

5.98 * 1024

6,67 * 10-11

7908 m/s

400 km

6.778 * 106

5.98 * 1024

6,67 * 10-11

7671 m/s

1000 km

7.378 * 106

5.98 * 1024

6,67 * 10-11

7352 m/s

10.000 Km

16.378 * 106

5.98 * 1024

6,67 * 10-11

4934 m/s

35.790 Km

42.144 * 106

5.98 * 1024

6,67 * 10-11

3076 m/s

(Moon) 384.000 Km

384.000 * 106

5.98 * 1024

6,67 * 10-11

1019 m/s

 

 Calculation of the Earth's Rotation velocity (angel velocity) in Satellite Orbits (m/s)

Distance from Surface

Radius (total)

 Orbit circumf.

Rotation s.

Rotation m/s

 

  

(/) devide

   = (are)

0 km

6.378 * 106

4.00 * 107

86400

 462

400 km

6.778 * 106

4.26 * 107

 86400 493

1000 km

7.352 * 106

4.61 * 107

 86400 534

10.000 Km

16.378 * 106

1.02 * 108

 86400 1190

35.790 Km

42.144 * 106

2,65 * 108

 86400 3067

384.000 Km

384.000 * 106

2.41 * 109

 86400 27911

 

  Calculation of the Space Wind from the Earth's  in Satellite Orbits (m/s) 

Satellit (overfl)

Planet Mass

Rotation m/s

Distance2 (m)

Constant

Space Wind

 

(*) multiply

(*) multiply

(/) devide

(/) devide

 (=) are

0 km

5.98*1024

462

6.378 * 106

 6.52* 1021

1.04 * 10-8

400 km

5.98*1024

493

6.778 * 106

 6.52* 1021

9.84 * 10-9

1000 km

5.98*1024

534

7.378 * 106

 6.52* 1021

9.72 * 10-9

10.000 Km

5.98*1024

1190

16.378 * 106

6.52* 1021

4.07 * 10-9

35.790 Km

5.98*1024

3067

42.144 * 106

6.52* 1021

1,58 * 10-9

 384.000 Km

5.98*1024

27911

384.000 * 106

1.96* 1023

1,73* 10-10

 

Rotation force &  Resistance force - compared (m/s)

Distance from the Surface

Space Wind

 Resistance

 

 

 0 (are)

0 km

1.04 * 10-8

 3.47* 10-10

400 km

9.84 * 10-9

 3.27* 10-10

1000 km

9.72 * 10-9

 3.00* 10-10

10.000 Km

4.07 * 10-9

 1.35* 10-10

35.790 Km

1,58 * 10-9

 5.26* 10-11

 384.000 Km

1,73* 10-10

 5.77* 10-12

 

In the Earth / Moon system we can see the SpaceWind is 30 times stronger than the RR

We can now also easy calculate that the moon will be forced 5 mm further outwards every year.

Not all of the 38 mm radius extension of the Moon is due to the tidal force.

 

 

The Space Probe NEAR and the SW influence

 

Only short periods are space probes by "gravity assist manoeuvres" close to Earth, in these period these will get a SW push from the Earth, depending how close they approach.  But this doesn't  explain all the speed increment that for example the space probe NEAR was affected by.  We can see the magnitude of the SW affecting the Earth above in the table.

Near was also affected by SW of the Sun, and more constantly, but also the Earth is affected by the same SW of the Sun, - This is about  3,00 *  10-8 m/s2  and caused the orbit of the Earth (the AU) to extend 15 cm yearly.  When both Near and the Earth is affected by the same force, things get a bit more complicated.

Now look at the image below, when near was approaching the Earth (by swingby) it was (off course) also approaching the Sun, and was thus hence also "suddenly" also affected by stronger SW from the Sun. This is what NASA have registered.   

 

 

The Pioneer Anomaly
 

The rotation energy (SW) from the planets both "stabilize" the course of the space probes outwards of the solar system as well as push these to further acceleration.

 

The planets’ SW(accelerating energy) contribution supports space probes to equalize the RR on their tour out of the inner solar system.

 

Space probes which have left the solar system gradually receive less accelerating support from the planets as well as from the Sun’s rotation.

 

This is one of the reasons to that we often not be able to discover the decelerating anomaly until after the space probes have left the solar system.

 

Space probes (on their way out of the solar system) get most of the time SW (centrifugal push) from the planets rotation, simply because we do use the planets to gravity assist manoeuvre.

 

 
The influences of RR & SW.
  1

How to calculate the RR affects planets here
  2

How much the RR affects satellites here

3

How much the SW affects Satellites & Space Probes here

 
 

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