*Comparisons of Solutions at R=1000M*_{0}

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**The Quasi-Equilibrium solution compared to the exact, integrated solution**

At 1000M_{0}, 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.

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**The Monopole Approximation compared to the exact, integrated solution**

At 1000M_{0}, 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.

*last updated 7 June 01 by rlc *