The Formula One season depicted in "Grand Prix" (1966 as filmed?)definitely used the 9-6-4-3-2-1 scoring system. After the first race in Monaco the Sarti charcter (who wins) is congratulated on "your first nine" and then explains to the Louise Fredrickson character the comment refers to points toward the F1 championship. As noted previously, the track/radio announcer at Monza just prior to the start says Barlini has 28 points, Sarti and Stoddard tied at 27, with Aron in fourth at 26. Extrapolating what we know from the film:
Sarti wins in Monaco and at the French Grand Prix for 18 points. He finsihes third behind Barlini and a burning Aron in Great Britain for four points bringing his total to 22. Sarti does not finish (DNF) at Belgium (last lap crash out of the lead) and in Holland (broken throttle linkage) and, of course, due to his fatal crash at Monza. That means he accumulates five more points from finishes at the German Grand Prix, the United States GP and/or in Mexico, meaning he placed no higer then third at any of those contests. Not great shakes for a guy who started so hot, but one could argue that he really lost his nerve and desire after the crash at Spa with the checkerd flag in sight.
Barlini wins the British Grand Prix, finshes second at Monaco and, it is implied, is part of another Ferrari sweep in France for a total of 21 points. His only confirmed DNF is when his is withdrawn from the lead at the Monza race after Sarti's death. We see Barlini spin but continue in Holland, but have no inforamtion as to how that impacted his result there. The other Barlini finishes are off camera. He gets eight points (but no wins) from his combined results in Belgium, Germany, Holland, the United States and Mexico. That could be a couple of podiums and a bunch of bad races, but I think it is rather consistent moderately competitive results.
Stoddard wins the Dutch, United States and Mexican Grand Prixs for his pre-Italian total of 27 points. He is DNF at Monaco (crashing out of the lead) and in Great Britain (having led, but collapsing in the cockpit from his prior injuries). He does not start (DNS) because of crash injuries in France, Belgium and Germany. With his close second to Aron at the Italian Grand Prix, Stoddard finsihes with 33 points. He may not have ended up champion, but when driving, had the best season overall leading every race he entered.
Aron wins in Belgium and Germany, while finishing a flaming second at Brands Hatch for 24 of his pre-Italian Grand Prix 26 points. He is DNF after his crash with Stoddard at Monaco and DNS from the French Grand Prix when he was without a ride. That means he eeks out only two points from his starts at Zandvoort, Watkins Glen and in Mexico. From the post-race reaction scene in the Yamura garage after the Dutch Grand Prix, it sure looks like Aron finished out of the points as it does after Mexico when Mr. Yamura is reading Aron the riot act. My conclusion is Aron finshed fifth at Watkins Glen for two points. Aron does end up champion with 35 points by winning the Italian Grand Prix, but only after Barlini has been denied an almost certain win (and the championship) when Ferrari withdraws after Sarti's fatal crash. Of the four protagionists, it can reasonably argued that Aron, overall, had the worst driving season of the four. Two of his three wins are gifted from the Ferrari drivers and, head-to-head, Aron only beats Stoddard once, at Monza.
Just my two cents but an interesting analysis
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