Friday, August 29, 2014

Anomalous precession of orbital axes (2)


Anomalous orbital precession of binary systems

The moon/earth binary system exhibits anomalous changes in orbital eccentricity[1]. Its orbital eccentricity and precession change in a way that cannot by themselves be easily explained. One explanation refers to the proposed 2 dimensional (2-D) gravitational field effect of relativistic frame dragging by the central supermassive black hole at the center of our galaxy. The short range usually attributed to frame dragging is not relevant to 2-D frame dragging because the proposed condensing of the black hole 3-D gravitational sphere of influence to a 2-D entity extends the radius of the frame dragging effect many orders of magnitude so that it affects the stars and other co-rotating systems as far out as earth and even farther.

An analysis of data records collected with the Lunar Laser Ranging (LLR) technique performed with better tidal models was unable to resolve the issue of the anomalous rate of change in eccentricity de/dt of the orbit of the moon, which has a magnitude of de/dt = (5±2)×10-12/yr

Cosmological explanations fail: none of them are successful in reproducing the effect, since their predicted rates of change in lunar eccentricity are too small by several orders of magnitude as referenced above.
 
Frame dragging declines as around 1/r3 for a normal classic unperturbed black hole, it appears.

But a real supermassive black hole may have frame dragging declining as 1/r2 or even 1/r. Relativistic analysis should provide an exact numerical estimate.

This suggests a critical test of the 2-D gravitational field proposal. The gist of the test is that anomalous changes in orbital eccentricity and orbital axis of rotation should be detectable in binary stars near Earth and perhaps even in the orbits of planetary moons such as Mars’ Phobos and Deimos. The Mars system can be considered as a simple binary system because Mars’ moons are not massive enough to significantly affect each other and their relative distances are generally too far. And, a three body gravitational system may be too complex to analyze accurately, so Mars’ system may be close to ideal.

There may be other candidates for planet/moon anomalous orbital precession and eccentricity if the obstacle of the many body model of gravitation could be overcome (with ultra precise measurements and supercomputer assistance, say). But, all the other planets either have many moons or else have no known moons (Venus and Mercury). We could put moons (satellites) into orbit around Venus (say) and track these orbits as precisely as with LLR.

 




 [1]         Anomalous  precession of  the   axis   of   orbital   rotation   of earth/moon   system,    the   lingering   nomalous    secular    increase   of    the        eccentricity   of   the   orbit   of    the    Moon   :  further   attempts    of          explanation     of    cosmological   origin,      Lorenzo   Iorio   , ,http://arxiv.org/abs/1102.0212,  (submitted     to    Arxiv   on   6   Apr  2014  )