At 1000M₀, corresponding to a weak gravitational field, both the QE scheme and the monopole approximation match the exact integrated wavetrain.

Again, a comparison of the gravitational wavetrain found by the exact integrated solution and the QE approximation shows them to be very similar:

These two pictures above show blowups of the graphs at two different times.

At 1000M₀, the monopole approximation is valid, and compares well with the exact integrated solution.

Here we see two blowups at different times comparing the monopole approximation and the exact, integrated solution.