The only weapons system on the F-14 that could defeat an F-15, assuming the F-15 pilot wasn't paying attention, was the AIM-54 Phoenix missile. But the Phoenix wasn't all that reliable.
The original F-14A AN
/AWG-9 radar could detect bomber sized targets out to 100 nm, but it could not detect fighter sized targets until they were inside of 50 nm, depending on the size of the fighter and it's RCS
. The AN
/AWG-9 could track up to 100 targets, but could only target 6 of the most serious treats.
The original F-15A/B, and early production F-15C/Ds had the AN
/APG-63 radar which could detect fighter sized aircraft out to 75 nm and could target up to 8 of the most serious threats.
Both radar systems had 'look down shoot down' capability, but the F-15's radar could also, simultaneously track high altitude targets. The F-14 WSO had to switch modes in order to be able to track high targets.
/APG-63 radar could also be manually or automatically set to display its information on the pilot's HUD. The AN
/AWG-9 only displayed on the cockpit radar screens for both the pilot and WSO, and could not be tied to the HUD.
Both radar systems were upgraded in the late 1970s and through the 1980s.