Hi all. Hopefully this doesn't count as self-promotion but I recently had the opportunity to do a lunar parallax experiment with fellow KSPF member @cubinator. We measured the Mun's Moon's parallactic displacement against the star Theta Lyrae. After some spreadsheet wrangling and triple checking my math, I finally feel confident enough to share our results;
Between my location in New Mexico and Cubinator's location in Minnesota, we measured a lunar parallax of ~283.6 arcseconds. This gave us a topocentric lunar distance of 390,775.4 km from cubinator's location and a topocentric lunar distance of 389,366.3 km from my location. Checking against the actual values given by the astronomy program Stellarium shows we have a percent error of only 0.42%!
I've written up an article on Medium detailing the full methodology and the math that went into this here: https://medium.com/@DeeAlexandria/how-to-measure-the-distance-to-the-moon-a1e502440918
Please feel free to give it a read and some feedback! Cheers.