 Avi is the most mysterious presence in the movie, and it's through his short-lived relationship with Janet that we fully grasp how profoundly unhappy she is. The title Janet Planet has many meanings. It's the name of the acupuncture studio that Janet operates out of the house. It's also a passing reference to the nickname that Van Morrison gave the songwriter Janet Rigsby, who inspired a lot of his love songs during their five-year marriage.