The simpler version (without the amplifier) uses an F-plug barrel joiner with a nut on it to hold the spider legs (would be better with two nuts and two washers) - these are a couple of dollars off ebay, but I’d buy them from a hardware stall at the local market.
You also want an F-plug to screw onto to the end your co-ax, and you might want some self-amalgamating tape to waterproof the lower barrel connector. Waterproof the whip connection one with a bead of silicon caulk.
The amplified version uses a ‘satellite line amplifier’ also available on ebay for five to ten dollars. You might need to get the nuts to hold the spider separately
Same considerations for waterproofing the connections (the amplifier should be waterproof)
The amplifier is powered up the line - needs a power injector to add a 12-18v DC to the co-ax core up to the antenna and to block that voltage from reaching the receiver - look for a masthead amplifier power supply for TV masthead amplifier.
RG-58 will work, but – a satellite grade RG-6 will have far less attenuation at ADS-B frequencies (8.3 dB per 100 feet at 1 GHz) than RG-58 (21.5 dB per 100 feet at 1 GHz); for any runs much over 10 feet (or a few meters), you’re better off with RG-6 than RG-58. For a 50 Ohm cable with less attenuation than RG-6 at 1 GHz, you have to go to something like 9913 or LMR400, which are a pain in the * to work with, as well as far more expensive than RG-6 (which is 75 Ohms).
If Hawk9999’s question was about using RG58 for connection of antenna to receiver, bob k6rtm has already answered it.
If the question was about using RG58 core for making the whip & radials of 6-legged F-connector Spider, the answer is below:
RG58 core comes in two verities:
Solid core - 1/0.58 (single conductor 0.58 mm dia AWG23)
Stranded core - 19/0.18 (19 starnds, each strand 0.18 mm dia AWG33)
Electrically it is OK to use core of RG58. The antenna built with thinner wire performs same as with thicker wire. The only difference is that thin wire gives narrower bandwidth than thick wire. Since in this case single frequency carrier 1090mhz, and a very narrow side bands with bandwidth of say 3 mhz is required, thin wire is not a problem. Thin wire is rather advantage as it rejects cell phone frequencies more effectively than thick wire.
However, thiner wire is mechanically weaker than core of RG6 which is solid 1mm dia AWG18 wire.
For mechanical strength, bigger dia wire obtained by striping off plastic insulation of electrical cable can also be used. It is available in sizes 1.5mm dia (14 AWG). However with F-Connector, it may be difficult to fit 3 rings if wire is thicker than 1.5 mm dia.
Thanks to both k6rtm and abcd567 for your answers. My question was in relation to the cable from an antenna to a USB-Scanner. I plan to built a SpiderAntenna with some RG6 leftover. I had a bunch of RG58 left but for the time being it will not be use.