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Until they encountered a deeper well of gravity, then they would either orbit or collide or perhaps both.
the function p(c(x)) will describe increasing orbital speed with increasing distance from the galactic centre. Therefore time dilation will increase with radial distance.
the central stars of planetary systems should also experience lower time dilation than the orbiting planets.
Quote from: JeffreyH the central stars of planetary systems should also experience lower time dilation than the orbiting planets.This is the opposite of the way I understood it?My understanding was that the location closest to the bottom of the gravitational well (like the Sun's surface or Mercury) would experience the most gravitational time dilation, while locations farthest from the gravitational well (Pluto, the edge of our galaxy, or the Small Magellenic Cloud) would experience the least time dilation. Earth is somewhere in the middle of this range.This is confirmed by the fact that the gravitational time dilation is measurable in the precession of the perihelion of Mercury's orbit, but is negligible in the orbits of more distant planets.Or by "lower time dilation", do you mean "time moves more slowly" (as seen by a distant observer)?