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eta is easy to compute if you have distance between 2 objects, their relative accelerations, and relative velocities.

By _relative_ accelerations and velocities, i mean the rate at which they are coming together. So you have to project both objects’ velocity components onto the line joining the two objects, and use that scalar component in these computations.

Without further ado, eta:

eta = -v1 +/- sqrt( v12 + 2a(dist) ) / a

In image:

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