This study is designed to compare the safety, pharmacokinetics, and efficacy of weekly and daily formulations of setmelanotide in participants with obesity associated with biallelic or heterozygous POMC (pro-opiomelanocortin), PCSK1 (proprotein convertase subtilisin/kexin Type 1), LEPR (leptin receptor) genetic variants, and participants with Bardet-Biedl Syndrome (BBS).