The Moon's gravitational influence does indeed play a role in stabilizing the Earth's rotation and reducing its wobbling. This stabilizing effect is due to a phenomenon known as tidal locking, where the gravitational forces between two celestial bodies cause their rotations to synchronize. The Moon's gravity raises tides on Earth, and the resulting friction between these tidal bulges and the Earth's rotation acts as a damping mechanism for its axial wobble, also known as precession.
Regarding other planets in our solar system:
Venus: Venus experiences a relatively small axial tilt of about 2.6 degrees. While Venus does not have a large moon like the Earth's, its slow rotation (taking about 243 Earth days for a single Venusian day) contributes to its stability. The combination of its slow rotation and small axial tilt results in a relatively stable rotational axis.
Mercury: Mercury has a small axial tilt of about 0.03 degrees. It rotates very slowly compared to its orbital period, which means it has a 3:2 spin-orbit resonance, completing three rotations for every two orbits around the Sun. This resonance helps to stabilize its rotational axis.
Mars: Mars has a more significant axial tilt of about 25 degrees. It experiences some wobbling, known as axial precession, which causes its rotational axis to shift over long periods of time. While Mars does have two small moons (Phobos and Deimos), they are not large enough to have a significant stabilizing effect like the Moon has on Earth.
For the gas giants in our solar system (Jupiter and Saturn), they have large moons and experience more complex interactions that contribute to their stability. These moons, such as Jupiter's Galilean moons and Saturn's largest moon Titan, exert gravitational influences that help to stabilize the planets' rotations.
It's worth noting that the presence of a large moon is not the only factor that determines a planet's stability or wobble. Other factors, such as the planet's size, shape, composition, and interactions with neighboring celestial bodies, all contribute to the overall dynamics of its rotation and stability.
In summary, while the Moon's gravitational influence helps stabilize the Earth's rotation and reduces its wobbling, other planets in our solar system have different levels of axial stability depending on their individual characteristics, including axial tilt, rotation speed, and interactions with moons or other celestial bodies.