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http://www.optusnet.com.au/~maxkeon/pionomor.html -------------------------- Pioneer Anomaly Anomalous No More. The story unfolds as a direct consequence of a universe which came into being from absolutely nothing, http://www.optusnet.com.au/~maxkeon/the1-1a.html a zero origin universe in fact. In that universe, light doesn't actually propagate anywhere, but it does move relative to a base that is set by the combined input from all local matter, anywhere, i.e. the Earth. According to the laws of that universe, the entire dimension surrounding every bit of matter in the universe is shifting inward into its own gravity well at the rate of (G*M/r^2)*2 meters in each second and is updated at the speed of light. Meaning that its acceleration capability diminishes to zero for anything moving at light speed toward its center of mass. The shift rate of dimension is necessarily twice the shift rate of the matter that the moving dimension carries along with it, otherwise there would be no driving mechanism available to perform the task. The equation representing an upward moving mass relative to a gravity source is ((c+v)^2/c^2)^.5*G*M/r^2-(G*M/r^2), while ((c-v)^2/c^2)^.5*G*M/r^2-(G*M/r^2) represents a downward moving mass. Even matter in a fixed position relative to a gravity source is traveling outward through dimension because dimension is traveling inward through it, hence the action of gravity. Another consequence of the velocity related gravity anisotropy is that any motion anywhere in the universe is going to be affected by every bit of matter in the universe to some degree. While matter is fixed with the local base of dimension it's not traveling anywhere relative to the universe, but as soon as it moves, it's moving into an all pervasive wall of resistance that is forever present in the direction of relative motion. The moving matter will be slowed in the direction of motion according to a combination of the two equations. Assuming that Mercury has just arrived at its average orbit radius and is traveling at 48000m/sec around a circular orbit path, these are the numbers for the universe generated anisotropy; ((c+v)^2/c^2)^.5*G*M/r^2-(G*M/r^2) : v=48000: G=6.67E-11: M=300000: r=1. 300000kg of matter at 1 meter radius is the same ratio as taking the mass of all matter in the visible universe in the direction of relative motion (3.45E+53kg), at its respective radii, and then combining them. It gives a slowing rate for Mercury's orbit velocity of 3.19E-9 meters in each second. http://www.optusnet.com.au/~maxkeon/piondat.html This 600k byte data file was generated from calculating the input to the anisotropy from the universe where the effective mass of the universe in the direction of relative motion is integrated over 3988 equally spaced 1 MPc steps, right back to where the universe disappears from view. The mass housed in each step is reduced until it becomes zero for the final step at the 13 billion light year distance. The shell widths remain constant only from our viewpoint. Due to the expansion (in the big bang universe) the shell widths are in fact becoming increasingly narrow per distance. If they were made to expand along with the expansion, each shell would contain exactly the same amount of matter because the expansion is not just along the line to the edge of the visible universe, it's 3D. But the number of shells would be significantly reduced. The first step is the most significant, contributing more than half that from the entire universe. Matter is least homogeneously distributed within that step. But it's not a concern if the anisotropy isn't generated isotropically throughout an orbit cycle anyway. Even so, the contributions from Andromeda and the Alpha Centauri group don't contribute significantly to the gravity anisotropy, and they would represent the most significant local influence. Mercury's motion relative to the mass of the universe sets up a wall of resistance which shortens its travel distance by 3.19E-9 meters in 1 second. But there is no physical link between the moving Mercury and the matter of the universe where the missing distance can be justified. It's not possible for the matter of the universe to shift to accommodate any change in momentum over the time span of Mercury's orbit. The only means of transferring energy in that direction is through gravitational radiation, which is nowhere near up to the task. So it must be accounted for locally. If during the 1 second (48000 - 3.19E-9) meter journey along the orbit path, Mercury is deflected by 3.19E-9 meters, squarely across the invisible face of the perpetual wall of resistance, initiated to point toward the Sun by its curved orbit path, the addition of the distance traveled in the two planes is still 48000 meters. The obvious reaction to that claim is that Mercury's actual travel distance is a^2+b^2=c^2 = sqr((48000 - 3.19E-9)^2 + 3.19E-9^2) which is virtually unaltered from the shortened but undeflected path. The problem is that the simple linear measurements that apply in the realm of matter don't apply in the 3D realm of gravity. All measurements in that realm must necessarily include the three dimension which are perpendicular to each other. Mercury moves (48000 - 3.19E-9) meters in 1 second through two planes of dimension. And it's deflected by 3.19E-9 meters toward the Sun in two planes of dimension. The equation for the triangle becomes a+b=c. The lengths are already squared. Mercury's fall to the Sun will be halted when centrifugal forces overcome the inward driving force generated by the anisotropy. Mercury would then just cycle around within the background universe as if it was housed at the center of some gigantic elastic web. http://www.optusnet.com.au/~maxkeon/merc-un.gif The set of oscillating rings that reduce in oscillation magnitude per distance from the orbiting Mercury (red circle), depict how Mercury's motion will oscillate around within the background universe. The scale is far from accurate. It's very compressed toward the outer edge. Over each 88 day orbit cycle, one compression-rarefaction wave will be sent off throughout the plane of the orbit, into the universe. There will be around 18 of them between here and our nearest neighbor. The force in the anisotropy generated by the universe is obviously very flexible over the time span of Mercury's orbit. There is virtually no direct link between Mercury and any part of the universe. The black line through the orbit axis is the perpetual wall of resistance from the universe generated gravity anisotropy. But over the time span of Mercury's orbit cycle, that can be of very little consequence. When Mercury finally arrives at a stable orbit radius, it is orbiting faster than would be expected from simple Newtonian gravity. i.e. The Sun is less massive than we think it is. If the mass of the Sun is .999978 of the presumed value, which camouflages the Pioneer anomaly for the close to the Sun case, Mercury would be traveling a 627 kilometer longer orbit radius than it should be for its velocity. It's moving at the correct rate for the more massive Sun, but is faster than it should be for the true Sun's mass. The universe generated gravity anisotropy doesn't end at Mercury of course, it extends throughout the universe. The fact that centrifugal forces between a galaxy center and the stars in its outer region alter according to 1/r instead of 1/r^2 is an excellent indication that a gravity anisotropy is present. The anisotropy drives the star inward toward the galaxy center, until centrifugal forces build to counteract the fall. The anisotropy is directly proportional to velocity, while the centrifugal force alters according to v^2, thus the fall is halted. The star will now be traveling faster than it should be for the orbit radius. There is obviously a good reason why it stops falling where it does. ------------------------- Pioneer The Sun is only the catalyst which initiates Pioneer's deflection direction. The Universe alone is responsible for the anomalous acceleration which appears to be directed toward the Sun. ((c+v)^2/c^2)^.5 * (G*M/r^2) - (G*M/r^2) = 8.34E-10 m/sec^2. is the Pioneer anomaly for 12500m/sec velocity, which would be expected to be fairly constant right up to the Sun if the same velocity was maintained. This graph was generated using the lighter Sun (1.989957E+30kg). http://www.optusnet.com.au/~maxkeon/pioneer1.jpg The next graph was generated using the more massive Sun (1.99E+30kg), which partly conceals the combined Sun and universe generated anisotropies nearer to the Sun. But it's obviously not possible to conceal them both for all distances. http://www.optusnet.com.au/~maxkeon/pioneer2.jpg The Sun's gravity error at a radius of 20AU from the Sun is GM/r^2 for a Sun mass of 1.99E30 minus GM/r^2 for a Sun mass of 1.989957E+30 = 3.19E-10m/sec^2. Each graph is reduced by that amount at that radius. And so on for the rest of each curve. Pioneer 10 is following a path which is close to 11 degrees off a line through the Sun, and its velocity is slowed by 8.4E-10 m/sec^2 along that line, while it's also being deflected at that same rate perpendicular to that line. Pioneer's trajectory is curving toward the Sun at the rate of TAN-1(8.4E-10 / 12500) = 3.85e-12 degrees per second, or 1.214e-4 degrees per year. The combination of those two trajectory changes is going to look very much like a direct fall to the Sun. ----- Max Keon |
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