new martian moon--hypothetical physics question?

What do you mean by "similar tidal effect"? There are a few things that you could interpret this to be.

One interpretation is the absolute pull given by the moon when at closest approach. Also absolute force/acceleration difference between a point nearest to the moon and a point furthest away, another would be the relative difference. I'll assume the relative difference for now. With Mars's smaller gravity, this would occur at a higher altitude.

Earth (no moon) local acceleration = GM/r^2

M = 5.974x10^24kg

r = 6371km

g = 9.824 m/s^2

Lunar acceleration on earth toward or away from moon

r = lunar distance +/- 6371km

r = 384400km +/- 6371km

r1 = 378029km

r2 = 390771km

g1 = 3.432 x 10^-5 m/s^2

g2 = 3.212 x 10^-5 m/s^2

g1-g2 = 2.2 x10^-6 m/s^2

Relative difference is (g1-g2) / g(earth)

2.2x10^-6m/s^2 / 9.8m/s^2

2.25 x10^-7

Reversing, mars g is

g(mars) = 3.72m/s^2, so the difference for it's moon should be:

2.72m/s^2 * 2.5x10^-7

8.39 x 10^-7m/s^2

g1 - g2 = 8.39x10^-7ms/^2

m(ceres) = 9.43x10^20kg

Rather than solving directly, I eyeballed and found that somewhere south of 100000km should be about right.

g1 = G m(ceres) / (100000km - 3390km)^2

g1 = 6.74x10^-6 m/s^2

g2 = G m(ceres) / (100000km + 3390km)^2

g2 = 5.89x10^-6 m/s^2

g1-g2 = 8.55x10^-7m/s^2

If you did want the absolute difference to be the same (2.2x10^-6m/s^2), then that would occur at an altitude somewhere around 70000km.

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uuum...O.o what?