A radio frequency (RF) satellite antenna may include an antenna housing to be carried by the satellite and having first and second opposing antenna element storage compartments. The antenna may further include a first plurality of self-deploying conductive antenna elements moveable between a first stored position within the first antenna element storage compartment, and a first deployed position extending outwardly from the canister and defining a first conical antenna. The antenna may also include a second plurality of self-deploying conductive antenna elements moveable between a second stored position within the second antenna element storage compartment, and a second deployed position extending outwardly from the canister and defining a second conical antenna. The first and second conical antennas may extend in opposing directions and defining a biconical antenna when in the first and second deployed positions.