Question: When was the second most successful fighter ace of all time died who was after Erich Hartmann and before Günther Rall?

full_context: Document 1: Werner Mölders: Werner Mölders (18 March 1913 – 22 November 1941) was a German fighter pilot during World War II and a leading German fighter ace. He became the first pilot in aviation history to claim 100 aerial victories—that is, 100 aerial combat encounters resulting in the destruction of the enemy aircraft, and was highly decorated for his achievements. Mölders was instrumental in the development of new fighter tactics that led to the finger-four formation. He died in an air crash in which he was a passenger.
Document 2: Gerhard Barkhorn: Gerhard "Gerd" Barkhorn (20 March 1919 – 8 January 1983) was the second most successful fighter ace of all time after fellow "Luftwaffe" pilot Erich Hartmann, the two people to ever exceed 300 confirmed victories. Barkhorn joined the "Luftwaffe" in 1937 and completed his training in 1939.
Document 3: Manfred von Richthofen: Manfred Albrecht Freiherr von Richthofen (2 May 1892 – 21 April 1918), also known as the "Red Baron", was a fighter pilot with the German Air Force during World War I. He is considered the ace-of-aces of the war, being officially credited with 80 air combat victories.
Document 4: Erich Rudorffer: Erich Rudorffer (1 November 1917 – 8 April 2016) was a German "Luftwaffe" fighter ace who was one of a handful who served with the "Luftwaffe" through the whole of World War II. He was the 7th most successful fighter pilot in the history of air warfare, with 222 victories claimed. Rudorffer fought in all the major German theaters of war, including the European and Mediterranean Theater of Operations and the Eastern Front. During the war he flew more than 1000 combat missions, engaging in aerial combat over 300 times. Rudorffer was shot down by flak and enemy fighters 16 times and had to take to his parachute nine times. He distinguished himself by shooting down 13 enemy planes in 17 minutes. His 222 aerial victories included 58 heavily armoured Il-2 Sturmovik ground attack aircraft.
Document 5: Erich Hartmann: Erich Alfred Hartmann (19 April 1922 – 20 September 1993), nicknamed "Bubi" ("The Kid") by his German comrades and "The Black Devil" by his Soviet adversaries, was a German fighter pilot during World War II and the most successful fighter ace in the history of aerial warfare. He flew 1,404 combat missions and participated in aerial combat on 825 separate occasions. He claimed, and was credited with, shooting down 352 Allied aircraft—345 Soviet and 7 American—while serving with the "Luftwaffe". During the course of his career, Hartmann was forced to crash-land his fighter 14 times due to damage received from parts of enemy aircraft he had just shot down or mechanical failure. Hartmann was never shot down or forced to land due to enemy fire.
Document 6: Günther Rall: Günther Rall (10 March 1918 – 4 October 2009) was a German lieutenant-general, the third most successful fighter ace in history and later head of the West German Luftwaffe during the Cold War.
Document 7: Hermann Greiner: Georg-Hermann Greiner (2 January 1920 – 26 September 2014) was a Luftwaffe night fighter ace who served during World War II. Greiner was recipient of the Knight's Cross of the Iron Cross with Oak Leaves—the fourth highest German award by war's end. He was also a squadron commander in the prestigious "Nachtjagdgeschwader" 1 ("NJG" 1—Night Fighter Wing 1), the most successful night fighter interceptor unit of any nation in the history of aerial warfare.
Document 8: Kurt Welter: Kurt Welter (25 February 1916 – 7 March 1949) was a German "Luftwaffe" fighter ace and the most successful "Jet Expert" of World War II. A flying ace or fighter ace is a military aviator credited with shooting down five or more enemy aircraft during aerial combat. He claimed a total of 63 aerial victories—that is, 63 aerial combat encounters resulting in the destruction of the enemy aircraft—achieved in 93 combat missions. He recorded 56 victories at night, including 33 Mosquitos, and scored more aerial victories from a jet fighter aircraft than anyone else in World War II and possibly in aviation history. However this score is a matter of controversy; research of Royal Air Force losses suggests Welter overclaimed Mosquito victories considerably.
Document 9: Jagdstaffel 32: Royal Bavarian Jagdstaffel 32, commonly abbreviated to Jasta 32, was a "hunting group" (i.e., fighter squadron) of the German "Luftstreitkräfte", the air arm of the Imperial German Army during World War I. The unit would score 41 aerial victories during the war, including four enemy observation balloons. In turn, they would suffer the expense of eight killed in action, five killed in flying accidents, four wounded in action, two injured in accidents, and one taken prisoner of war.
Document 10: List of surviving Messerschmitt Bf 109s: The Messerschmitt Bf 109 was a German World War II fighter aircraft. It was one of the first true modern fighters of the era, including such features as an all-metal monocoque construction, a closed canopy, and retractable landing gear. The Bf 109 was the most produced fighter aircraft during World War II, with 30,573 examples built during the war, and the most produced fighter aircraft in history, with a total of 33,984 units produced up to April 1945.
Document 11: Günther Schack: Günther Schack (12 November 1917 – 14 June 2003) was a German World War II fighter ace who served in the Luftwaffe from 1939 until the end of World War II in 1945. A flying ace or fighter ace is a military aviator credited with shooting down five or more enemy aircraft during aerial combat.
Document 12: Jagdgeschwader 52: "Jagdgeschwader" 52 (JG 52) (52nd Fighter Wing) of the Luftwaffe, was the most successful fighter-wing of all time, with a claimed total of more than 10,000 victories over enemy aircraft during World War II. It was the unit of the top three scoring flying aces of all time, Erich Hartmann, Gerhard Barkhorn and Günther Rall. The unit flew exclusively with the various versions of the Messerschmitt Bf 109 throughout the war.
Document 13: Hermann Göring: Hermann Wilhelm Göring (or Goering; ] ; 12 January 1893 – 15 October 1946) was a German political and military leader as well as one of the most powerful figures in the Nazi Party (NSDAP) that ruled Germany from 1933 to 1945. A veteran World War I fighter pilot ace, he was a recipient of the "Pour le Mérite". He was the last commander of "Jagdgeschwader" 1, the fighter wing once led by Manfred von Richthofen.
Document 14: Günther Rall: Günther Rall (10 March 1918 – 4 October 2009) was a German lieutenant-general, the third most successful fighter ace in history and later head of the West German Luftwaffe during the Cold War.
Document 15: 132nd Wing: The 132d Wing (132d WG) is a United States Air Force unit assigned to the Iowa Air National Guard and located at Des Moines Air National Guard Base, Iowa. The 132nd's World War II predecessor unit, the 365th Fighter Group was a IX Fighter Command unit, serving in the European Theater of Operations. The 365th, known as the "Hell Hawks", was one of the most successful P-47 Thunderbolt fighter groups of the Ninth Air Force when it came to air combat. The 365th was awarded two Distinguished Unit Citations; Order of the Day, Belgium Army; Belgium Fourragère, and the Belgium Croix de Guerre. The 365th Fighter Group flew its last mission on 8 May 1945. After having operated manned fighter aircraft for all of its prior history, the wing was equipped with the MQ-9 Reaper unmanned aerial vehicle in 2013.
ground_truth: 8 January 1983