A possible role for the flyby anomaly to interpret the Milagro results
The main text can be found on the arxiv at:
Discovery of Localized Regions of Excess 10-TeV Cosmic Rays
Abstract:
http://arxiv.org/abs/0801.3827
A significant energy boost or increase in Delta V of the cosmic ray particles is needed to offset the sources of energy drain if these bumps are coming from a distance. From Figure 1, one sees region (A) extending from -15 to -30 degrees below the galactic plane while region (B) extends from about 27 to about 45 degrees above the galactic plane.
From the empirical Anderson formula for the flyby anomaly, one can see that the proportional Delta V increase in the hyperbolic velocity is directly proportional to the product of the angular velocity of the planet times the radius divided by the speed of light where the effect is maximized by having test bodies enter along the equator and leave along a pole according to the difference in cosines of geocentric declinations.
For Earth’s radius and rate of rotation the amount maximizes to only a few parts per million.
To get a more significant boost either the rotation or radius needs to be increased and only those test bodies that went from 0 degrees to + or - 90 degrees would benefit from the potential boost.
An extreme astrophysical environment that may satisfy the energy boost requirements involves a binary system where the cosmic ray source is a pulsar whose spin axis is pointed at a very rapidly spinning black hole partner. While the black hole radius is likely to be smaller than the Earth radius, it is possible for the rotation to be measured in milliseconds. There will be a contribution due to a General Relativity frame dragging or Lense-Thirring effect. But the flyby anomaly is many orders of magnitude greater than the GR effect. It is an open question whether the flyby anomaly still behaves the same way in the strong field as it appears to behave in the weak field.
Because of the fast spinning of the black hole, the anomaly can then be between one and two orders of magnitude increase in the Delta V rather than the parts per millions seen for Earth. But the boost will only be to those cosmic rays that head out on a polar trajectory from the equator.
From the Milagro results, this suggests that the plane of the binary is only slightly inclined to the galactic plane and lies only slightly above the plane to be the source for both regions (A) and (B). This assumes that the galactic magnetic field can bend the paths of the cosmic rays to where some of them intersect the upper atmosphere to initiate the excess cascades monitored by Milagro.