Great feedback, thank you!
The next update tackles exactly this. There's now a PREV / NEXT body switcher pinned to the bottom of the screen that steps the camera through every planet and moon and opens its panel, so you never have to click a moving target to get back to a body, with an "Unlocked only" filter to jump straight between the ones you own. I also added a Planet Speed option (100% / 50% / 33%) to slow the orbits right down, and deselecting a body no longer zooms you all the way out. Should feel a lot more like an idle game and a lot less like whack-a-mole.