The second and third highest scoring Soviet aces in World War II were Grigoriy Rechkalov and Aleksandr Pokryshkin. Captain Rechkalov scored 56 individual and 5 shared victorirs and Colonel Pokryshkin scored 53 individual and 6 shared victories. These numbers are from E. R. Hooton’s War Over the Steppes. Other sources vary. Both flew large numbers of sorties. Rechkalov flew 415 plus and Pokryshkin 560.
Both pilots were trained in flying clubs and, during the war, received great amounts of publicity in Soviet newspapers and magazines. Captain Rechkalov received his second Hero of the Soviet Union gold star on 1 July, 1944. Neither of my sources give the date of the first award.
Aleksandr Pokryshkin joined the 55 Fighter Air Regiment flying MiG-3 fighters. He shot down his first kill on the day after the German invasion of the Soviet Union. On 20 July, 1941, he was shot down behind German lines by anti-aircraft fire, but he was able to return to his unit without being captured. Over the northern Caucasus he achieved 20 victories in 350 sorties.
As a leader Pokryshkin invented new techniques for air combat. He taught echeloned formations flying different altitudes within the group, and between the groups, and instructed pilots on tactical procedures.
Transferred to the 16 Guards Fighter Air Regiment flying P-39 Airacobras he received command of one of the squadrons. By July 1944 he commanded 9 Guards Fighter Air Division during the Lvov-Sandomir operation. Assigned to support ground forces near Radziejow, his flight of twelve fighters encountered a formation of forty bombers and eight fighters. First Lieutenant Trud and four aircraft kept the enemy fighters busy while Colonel Pokryshkin and Captain Rechkalov attacked the bombers. The bombers jettisoned their bombs and fled. The Soviets chased them until all of their ammunition was expended. Five German bombers and four German fighters were downed with the loss of one Soviet aircraft.
During the fighting over the San River Aleksandr Pokryshkin downed 28 enemy aircraft in four days in very bad weather and engaging much larger enemy forces.
In the fall of 1944 Colonel Pokryshkin received his third Hero of the Soviet Union gold star. He and Ivan Kozhedub were the only two Soviet pilots to win three of the coveted decorations.
Sources: War Over the Steppes, The Air Campaigns on the Eastern Fron 1941 – 45, E. R. Hooton, Osprey Publishing, Oxford, UK, 2016
The Soviet Air Force in World War II, Edited by Ray Wagner and Translated by Leland Fetzer, Doubleday & Company, Inc., Garden City, NY, 1973