How can one learn to make accurate verifiable observations?
If you are not one already, you should to become a minor planet observer. At a minimum, you need to practice accurately acquiring known asteroids and know how to report their position. A very good resource for this is the Minor Planet Center: http://cfa-www.harvard.edu/iau/mpc.html They have an excellent FAQ / guide to minor body astrometry that you should read: http://cfa-www.harvard.edu/iau/info/Astrometry.html A good starting point for beginners is this question: http://cfa-www.harvard.edu/iau/info/Astrometry.html#begin New observers should practice acquiring known asteroids. If you can make accurate observations of a minor planet in the rage of 400 to 40000 of sufficient quality to obtain an observatory code, then you have what it takes to make accurate observations.