You're on the right track but you don't have to create new exotic Matter to explain the accelerations. As you point out if Newton had been given the data he would have pointed out F=ma [so any acceleration of mass/Matter must be the result of an additional force - other than what he had already modelled]
In fact that is what happened with Mercury, and Einstein then came along with GR and corrected for the force giving GR 8piG as opposed to Newtonian 4PiG. ie twice the acceleration for EM masses that come close to a gravitational body than what was expected by Newtonian mechanics.
GR reduces to Newtonian gravity far away from the bodies - where the 'curvature' is weaker. But GR is based on SR and any Physicist will tell you Gravity is the only force acting between planetary bodies so what causes the additional 2pi of G-force close to Planets etc?
Back to what GR was based on.....SR.....
'when to impossible is removed - what remains however improbable must be true'
All Matter not only creates a convergent [gravitational] force but also possesses interactive [divergent] forces - Black-body radiation is well established in physics and these two forces apply to all Matter [as defined in Tetryonics].
Also of note is that Tetryonics gives us the geometry for these 'missing' fields and shows how it applies to all material bodies in the universe regardless of scale. ie it explains Mercury's perihelion, the bending of Light, galaxy rotation curves, and many other phenomena current using Dark Matter as an explanation.
And the force it creates is strongest in the equatorial region of a gravitational body [defined wrt to its magnetic axis of course] just as you propose.
So why do we struggle to explain this acceleration?
Gravity to date has been mathematically modelled on the observations of the motion of large scale Matter. As the observations get better the theory must be 'adjusted' in an attempt to explain these tiny inconsistencies but I believe I am the first to present a theory from first quantum principles that coherently explains the processes at work and agrees with current observations without the need for DM halos etc.
I am half-way through my final review of my QG illustrations and then it will be released for all to comment on.