Small Transport
Air Traffic Control Fully Certified
Air Traffic Control Time Certified In Pos 1 (mon) 9; Air Traffic Control Time Certified In Pos 1 (yrs) 8
Communication Breakdown; Distraction; Situational Awareness
ATC Issue All Types; Conflict Airborne Conflict; Ground Event / Encounter Ground Equipment Issue
Air Traffic Control Issued New Clearance; Flight Crew Executed Go Around / Missed Approach; Flight Crew FLC complied w / Automation / Advisory
Human Factors
Aircraft X was the only aircraft on frequency due to issues with the normal frequency. They attempted to check in on the missed approach off of a satellite airport but were stepped on by multiple other aircraft. Including Aircraft Y that sounded like a similar call sign at the time. Due to the frequency congestion; I answered who I could hear and asked all aircraft to standby until I called on them. When I did hear Aircraft X check on; they told me they responded to an RA and I saw a target near them squawking 1200 at a similar altitude. I identified Aircraft X and issued instructions to approve their further requests. Upon watching the replay; I saw that the 1200 code had departed the satellite airport ahead of Aircraft X but do not know if the Tower issued the traffic. I did have another controller working my assist during the frequency congestion which lasted about 5 minutes.Continue scanning airspace and keep more aircraft on the same frequency so they can hear each other.
A TRACON Controller reported they were distracted with radio and communications problems and did not notice an aircraft conducting a missed approach had conflicting traffic that the missed approach aircraft received a TCAS/RA for.