Ask HN: Celestial Mechanics Book Recommendations

Recently I've become very interested in celestial mechanics, specifically the Sun/Moon/Earth relationship. For instance, the Moon orbits in the elliptical plane, so it's always between the Sun and the Earth.

Here is an example of something I'd like to figure out: three weeks ago it was a new moon, so when it was noon somewhere in North America, if you could look up and see the Moon and Sun, I assume the Moon would appear a little lower in the sky since it's closer to Earth. However, a week ago, it was a full moon, so at midnight the Moon would be at it highest point in the sky, and I think North America would have been swung a lot closer towards the elliptical plane, because of the Earth’s tilt, so the full Moon would appear higher in the sky than the Sun does at noon. Finally, at what point in the Moon's cycle this month, would it's highest elevation in the sky be at the same elevation as the Sun at noon?

I'm looking for a good book that will explain all these things with an Earth-centered approach, and teach me the correct terms, like the ones satellite technicians need to know.

Thanks!