Does the moon change orbit?
Yes, the sun will pull the moon out from a perfectly spherical orbit. In this make-believe problem, does the moon orbit around the planet’s equator? And does the planet orbit the sun around the Sun’s equator? Also, is the planet’s spin axis perpendicular to it’s solar orbit, or is it tilted? Unless everything is perfectly aligned, the orbits will be “chaotic”. This does NOT mean that it goes wild all over the place. It just means that the orbit will be elliptical, and the amount of ellipticalness will very over some (small) range, in an unpredictable way (slow changes over time). Also the orbits’ obliquity will change chaotically. To prove this would take more than just Newtonian physics. You would need some general relativity also.
