orbital effect of a sudden change to G

enotstrebor

If the gravitational constant suddenly changed, would the earth change its orbital radius r' such that the new G'M'/r'^2 equals todays GM/r^2. If not how?

Vanadium 50

There is no way to answer the question "if I dispense with the laws of physics, what do the laws of physics say will happen."

enotstrebor

Another version which I think does not dispense with the laws of physics.

An asteroid 1.0*10^-15 the mass of the sun's mass joins with the sun (giving the sun's new mass M'). The asteroid's path into the sun does not disturb the orbit of earth.
Considering only the effect of the suns mass change (I know there are other effects), is there an orbital radius change such that M'G/r'^2 is equal to the old M_sun/r^2. If not, no matter how negligible the effect, what is the gravitational effect of the mass change to earth's orbit (e.g. change in P?).

Vanadium 50

You can't have an asteroid magically have no gravitational pull on the earth until it hits the sun, and then magically have it's gravity restarted. There is no way to answer the question "if I dispense with the laws of physics, what do the laws of physics say will happen."