Battle Of Britain.WWII.

Worth a watch.

Nicolas Parsons? Yes, it has a few famous faces, mostly were children at the time.

In the scenario we had lost the Battle,I suppose our Royal Navy would of been bombarded by the Luftwaffe and we would of been heading North to Scotland.

Perhaps negotiating a surrender that kept us in our place.

?

Yes without air superiority the navy would have been donald ducked, you only have to read about what happened to Prince of Wales and Repulse when they were overwhelmed by Japanese aircraft,two capital ships sunk in no time.
Some interesting footage of Operation Cerberus on Youtube,the Germans put an umbrella of aircraft over their fleet and sailed up the Channel in 1941, the navy needed air suppoert or as you say they would have had to head north to Scapa flow.

I dont think that Operation Sea lion was ever a serious proposition but with air superiority and without the RN present who knows ? if migrants can get here in dinghy's maybe it was possible, with all the kit lost at Dunkirk the troops here were badly armed for a while.

Plenty of ships sunk by aircraft in WW2 when they didnt have sufficient air cover, Dunkirk,Crete evacuation, Pearl Harbor, ships very vulnerable to air attack just look at the ships lost in the Falklands war.

It's an interesting 'What if', personally I don't think Germany had the capacity to land sufficient men, armour and assorted material, let alone keep them sustained.

Japan had specialist torpedo bombers and experience which was a crucial aspect of the sinking of Prince of Wales. Germany lacked both and in Norway wasn't great, although it did succeed, and our own Malta runs shows it's not always easy to hit ships.

The confined nature of the Channel and volume of aircraft would have helped Germany but it's not a given by any means.

The most likely outcome imo, is a psychological one that may have caused the collapse of the government and the successor suing for peace, but the cost to the Germans would have been enormous.

With Hitler looking east, I just can't see him committing to it, rather using it as a threat for peace talks.

Just my opinion.
The Battle of Britain was just the first stage in the defence of the UK. Operation Seelowe was in the forward stages of planning, so much so that the barges were in place in ports in France. Air Superiority was of course vital for that operation, but it wasn't the be-all and end-all of things.
At this point in the war we did have a limited amount of aircraft, but production had been ramped up and we were beginning to mass produce aircraft.
If we had 'lost' the Battle of Britain this would not have meant the end of the RAF. It would still have been there. For the Germans one of their main problems would have been logistics. How do they supply their troops once they have landed in the UK? This is where the Home Fleet would have come into play. I believe the RN would have played havoc with the German supply lines across the Channel. Not only that but Britain would have pulled ships back from various other places around the world. Also the Germans would have been made to pay a heavy price when conducting the first landings. Their losses would have been heavy. They just didn't have the infrastructure, resources, training or knowledge on how to conduct a mass seaborne invasion.
Yes, the Prince of Wales and Repulse were sank from the air by the Japanese, but they were unsupported ships. They were on their own and sailing in the wrong place. 
In summary, even if we had lost the Battle of Britain it is my opinion that the Royal Navy would have prevailed. 

And of course aircraft carriers that worked occasionally...

Don't ask about getting a USN submarine to patrol our waters due to ours being in dry dock or the Royal Fleet Auxiliary on strike. 🫣