**Anomalous Flybys**

Recent anomalous flybys report satellites flying in near-Earth or near-planetary orbit. These manouvres save precious propellant using gravity to ‘slingshot’ a satellite like a discus. The observed shifts in speed are tiny (~2-13 mm/s) yet they are not understood via current knowledge, being termed anomalous [1]. These events have shone a light on a novel mathematical mechanism of gravitation within galaxies [2] theoretically different to Einstein’s General Relativity (GR), the currently accepted gravitational mathematics of solar systems [3].

From the perspective of the anomalous flybys there is a fundamental issue with respect to GR. The gravitational interaction may be detectably incorrect when they apply specifically to galactic and not solar system motions. According to SFT, galactic motions require 'trispinors' to determine the complete motions of solar systems within galaxies. 'Bispinorial' motions apply to both the electron and proton in hydrogen atom and in dielectric form for Earth/Sun interactions within the Solar System.

Trispinorial motions applying within galaxies are seen as up-down periodic wobbles by solar systems (orthogonal vibrations wrt galactic plane) in addition to their solar orbit and planetary axial spin. Black holes near galactic centres are analogous to suns near centres of solar systems [2].

In atoms SFT determines particle motions and self-fields. Photons move as atomic binding energy along helical motions between particles. In dielectric form this also holds for the two fields of a solar system. The galactic system of planet, sun and black hole forms a three-body interaction via trispinors. Generally bosons can move in more complex helical motions within levels of gravitation, a fractal structure of gravitation, a mathematical series of spinors in SFT comprised of planets, solar systems, galaxies, perhaps super clusters and the Universe [4].

The system of three rotations may cause the anomalous accelerations. A satellite may have three orthogonal components of acceleration due to gravity, one via its orbital motion due mainly to the nearby planet, a spin due mainly to its diamagnetic interaction with the nearby planet, and a third much smaller force causing an up and down oscillation due to the galactic pressure gradient within the galaxy. These vibrations, seen as a satellite design issue [5], may link to the acoustic field due to the vibrations in molecules, the basis for Raman spectroscopy [6], and the acoustic field in intragalactic space.

Satellite flybys can be described by SFT using trispinors. Two of the three components of gravity will be dominated by the planet's proximity. When we come to the gravitational effects due to the Galaxy, the effect due to the pressure field may be small but detectably missing when eclipsed.

Measurements need to determine where the centre of the Galaxy is relative to any eclipse; two equal and opposite jumps in velocity will exist at onset and finish of the eclipse.

Simple calculation: taking ratio of sample distances satellite-Sun and satellite-Earth and squaring ~ 1.65 x 10^{7}; take velocity 25 km/s/ratio gives 1.5 mm/s.

**References**

[1] Turyshev and Toth 2009 https://arxiv.org/pdf/0907.4184.pdf

[5] Asif Israr, Vibration and Modal Analysis of Low Earth Orbit Satellite 2014

[6] http://arxiv.iacs.res.in:8080/jspui/bitstream/10821/377/1/CV-Raman_A-New-Radiation.pdf Raman 1927