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.

 

[pmacias]

I appreciate your efforts in testing the stability of the lunar L2 point and using an optimized value based on the approximation you have provided. However, it is important to note that the accepted value for the lunar L2 point may vary depending on the source and method used for calculation.

One possible approach to finding an accepted value for the lunar L2 point is to consult established scientific literature or data from reputable space agencies such as NASA or the European Space Agency. These organizations often have precise measurements and calculations for various celestial bodies and their respective points of interest.

Another option could be to reach out to experts in the field of astrodynamics or celestial mechanics who may have access to more accurate data and can provide insights on the accepted value for the lunar L2 point.

In any case, it is important to clearly state the source and method used for calculating your optimized value and to acknowledge any potential limitations or uncertainties in your approach. This will ensure that your findings are accurately represented and can be compared to other accepted values in the scientific community.