I’ve seen some asks for how to make a homing missile here and a specific ask for one using Arcade Physics on Discord. Ideally, you’d just use Matter since Arcade is AABB collisions only but maybe you hate Matter or you already learned Arcade or you’ve already written a lot of your game with Arcade and switching would be a pain in the ass.
You can find the tutorial here: https://blog.ourcade.co/posts/2020/make-homing-missile-seek-target-arcade-physics-phaser-3/
Source is on Github: https://github.com/ourcade/phaser3-homing-missile-arcade-physics
The trick is using a Circle body and a Container. The limiting factor with this approach is collisions only register at the front of the missile.