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More analysis on PN

This is mostly to address a comment from Eric, if we put in an equatorial outflow, will it still be collimated?

Instead a "disk" outflow, I put a jet in the +- x-directions, with 15-degree open angle, otherwise the same as model A.

In our simulation, the "momentum rate" (L/c) is set by the outflow's density and velocity

L_{mech}/c = 4\pi r_w^2 \rho v_w^3 / c

for high-momentum flux (models A and C), (L/c)_high = 3.835e+34 (g cm s^{-1 year}-1), and

for low-momentum flux (models B and D), (L/c)_high = 1.917e+33 (g cm s^{-1 year}-1)

At the last frame presented in PN paper, the total momentum ejected is then:

P_{sim} = t_{dur}\cdot (L/c)

Observationally, the upper limit on t comes from the size and jet speed: t<R/v, and maximum momentum is estimated as:

P_{measure}< (R/v_w)\cdot(L/c)

Here I use the extend of the top lobe for R, and wind speed v=300 km/s, the momentum calculated in those two ways and their ratio are:

Outer boundary flows inward, floor density raise remove some mass, but both are small.