Accepted (precise) value for lunar L2 point?

[Muon Cat]

Does anyone know where I can find one? I've written a program to test the stability of the lunar L2 point by placing a massless test object in orbit there and I've found an optimised value based on the approximation

$$r_{m}(\frac{M_{M}}{3M_{E}})^{1/3}$$

where $$r_{m}$$ is the radius of the moon's orbit, $$M_{M}$$ is the mass of the moon and $$M_{E}$$ is the mass of the Earth. I need an accepted value to compare my precise, optimised L2 value to, but I haven't been able to find one anywhere. Can anyone help me out please?

 

[tony873004]

Here's a calculator I made: http://orbitsimulator.com/formulas/LagrangePointFinder.html
It finds the L points numerically. But don't expect it to be stable. Only L4 and L5 are stable. L2 requires stationkeeping.

 

[D H]

And it moves around. The Moon's orbit is not circular, and the Sun is a huge perturbing factor.

 

[Muon Cat]

Ah okay, thank you very much guys! :) I was hoping for a literature value I could compare to because I have to write a report on this, but that is helpful all the same.