I'm not sure exactly what do you mean I have to provide as model - formulas or how it works.
I can represent relativity of gravity in 3 different ways:
1) By classic, I think we can imagine the gravitational field as some kind of substance. The Sun generates its volume of such substanse with gradient of density, Any planet of the Solar system generates its own too. When this planet (asteroid of comet) comes closer to the Sun its gravitational filed (which we imagine as a substanse) dissolve in the Sun's one, and its strength gets weaker for bodies placed near to it.
2) By space-time effects it looks like the strength of gravity force depends on a run of time. When planet comes closer to the Sun the time for it runs slower and slower and planet's gravity acts to near bodies as visually "weakering and weakering" force.
3) By geometry, gravity of Sun and Earth can be represented as their gravity systems. (see fig.1) The planet's gravity systems are placed inside the Solar gravity system.
The cone of proportionality demostrates us the border where gravitational acceleration to the Sun and to the planet, calculated by Neuton law, are equal. Therefore, the result acceleration is zero. If we accept that superposition of gravities on this border is zero and in the center of planet it have some constant value (aka gravity potential) while the total gravity function has simple form with only factor (supposably G) then the gravity on the same distance from the planet (e.g. on its surface) on the different orbit of planet should get different resulting value.
Only evidence I can provide for relative changing of gravity I can see above. It's a comets' tale which change its length while comet change its distance from the Sun.
As you can see, the relativity of Gravity isn't known and it doesn't considered in Neuton's Mechanics and in the General relativity. But if it have place, IMHO it could explaint dinosaurs' extiction by changing of Earth's gravity.