|MadSci Network: Astronomy|
Planets and moons do have magnetic fields that surround them, not just at the equator, but around the entire planet or moon. The strength of the magnetic field on each planet or moon is different depending on what the planet or moon is made of.
Because of the very large distances between the Sun and the planets, and between the planets and their moons, the magnetic fields do not have any real effect on their neighbors.
The magnetismofplanets website will help explain a little more about magnetic fields around suns, planets and moons.
I hope this helps to answer your questions.
Try the links in the MadSci Library for more information on Astronomy.