If by planetary satellites you mean Moons, that would be Jupiter with at least 63 confirmed moons - possibly more!
a planetary satellite is any object that orbits a planet
the brightest and the sixth biggest planet
You probably mean to ask about natural satellites as opposed to artificial satellites. In terms of neutrality, all satellites are neutral. In any event, the planet Jupiter has the most natural satellites, of any planet in our solar system. The planet Earth has the most artificial satellites.
Without checking the orbital inclinations of all the known planetary satellites, I'll take a rough guess that it's nominally the planet with the most known satellites, which is Jupiter, with at least 63 satellites presently known. If you want to go to the extreme, you might say that each and every stone in the rings of Saturn can certainly pass through the planet's shadow, causing a 'calcular eclipse', and there are billions of those.
Yes, Jupiter is the planet with the most satellites - 63 of them
As the largest and most massive planet, Jupiter formed a disk (proto-planetary type disk) all of its own and from this disk a number of satellites coalesced. It has also 'trapped' several objects that came close to it.
Jupiter
earth
Jupiter, with 63 satellites.
Saturn
Planetary satellites vary greatly in size, from very small, to some that are larger than some planets.
No natural satellites have been discovered in orbit around Mercury. Planetary scientists are by now quite firmly convinced that the planet has no moons.