I'll ask this here since I'm likely to get an answer much faster than if I were to try to google it. If a planet had two moons (let's just use earth), one in the northern skies, the other in the southern, yet both were visible at the same time across the planet, and one was much larger than the other, would they have the same or different moon cycles? For simplicity, if the moon were twice as large would it then take twice the time to complete a lunar cycle? Is there any way that the moons would operate on different cycles?
Why I'm asking is Ive created a fantasy world with two moons. They have the same conditions I already included (one is much larger, in the opposite "sky"), and I wrote that one was waxing while the other was waning. I know very little on the subject, and want to have my facts a little more straight before I proceed any further.