I would like to put forward a very different view from the other posters: While the physics of the D&D world, as described in the core rules are incoherent, if one is searching for coherence within them, one should not look to the science of today. It is clear that in the D&D world, the laws discovered by Newton, Darwin, Mendel, Einstein, et al are generally not in effect. In my view the physics of the D&D world are much closer to those of Aristotle. In support of this I offer three examples:
(a) the D&D world has 4 elements not 100+; these four elements are earth, air, fire and water.
(b) according to the magic system and the appraise skill, objects have an absolute real monetary value that is unaffected by money supply or the needs and wants of purchaser and vendor
(c) falling damage is non-exponential
Furthermore, if modern science were true, why would magic work? Why would there be so many creatures occupying the same ecological niche? etc.
I would therefore recommend that if you want to look at what a world without a moon would be like, you base it on the medieval science we believed in before the scientific revolution.
So, if Aristotelian physics are true,
(a) life did not evolve; it was created by a divinity
(b) the earth is surrounded by a set of perfect crystaline spheres along which planets rotate
(c) the sphere that separates the earth from the outer spheres is the one occupied by the moon
(d) there are four elements in the sub-lunar sphere which are, from lightest to heaviest, earth, water, air and fire -- heavy things move down; light things move up
(e) the area between the earth's surface is occupied, at the lowest level, by watery and airy things (like rain clouds), next by airy things (non-rainy clouds), next by airy and fiery things (clouds that produce lightning) and finally by fiery things (meteors)
Unless you want to move the sun closer to the earth's surface or make it less hot, the sublunar sphere will become larger, resulting in more dramatic and exciting weather and more visible meteors. You would also probably have to change to a six-day instead of a seven-day week as the seven-day week is based on an association between the seven spheres between the earth and the sphere of fixed stars.