Bjarne said:
Several space probes was by gravity assist manoeuvre gaining between 4 and 13 mm velocity per second. Are this values average based on acceleration through time, or are these pure deceleration per second?
I'm not quite sure what distinction you are making there.
The Pioneer anomaly is based on the measured velocity of the spacecraft as they are coasting, and the velocity is measured by the Doppler shift of communications.
During the close flyby of other planets, its not so easy to measure the changing velocity, so it has nothing to do with the gravity assist maneuvers that were used to boost velocity relative to the Sun as it passed by those planets. Also, too close to the Sun the force given by solar radiation is sufficiently strong to make make isolating the anomaly difficult.
However, during the long stages coasting in empty space, we should expect to see Doppler signals reflecting the motion of the telescopes on Earth, including both rotation and revolution around the Sun, and also the slowing of the spacecraft as it moves out from the Sun.
Careful analysis of the signal, after removing all the effects of Earth's own motions and the expected deceleration from the Sun, show that the space probe is moving very slightly slower than expected, as if there is a tiny additional acceleration back towards the Sun. The magnitude of this apparent additional acceleration on Pioneer 10 was around about 8*10
-10 ms
-2. This is tiny, but it is definitely there in the data.
To give an idea of just how small this additional acceleration is, one possible explanation is an imbalance of the heat being radiated from the spacecraft . 60 watts additional energy radiated out away from the Sun would be sufficient. Since the craft radiates about 2000W in total, a comparatively small directional bias in the radiation might work. So too would a slow gas leak. Either one is a possible cause of the excess. However, it has not been possible to identify such an extra impulse, and so other alternatives are also considered, including changes in fundamental physics. It remains a mystery.
Cheers -- sylas