fouled said..
So the question is , if Cook needed the Lunar Distances and then chronometer , was it likely that a place in Antactica could be reached just by star navigation? A uni prof tells me early ships couldn't return to a given position of longitude without a chronometer.
Long before Lunar Distance calculations, and even in the present day there is DR. The magnetic compass was introduced a thousand years ago; ideas brought back by sailing crews from China, so they were Arabs. The Vikings had a 'sun traverse board' (I think it's called) which was like pocket sundial, with a small gnomon.
With magnetic compasses you can follow directions, you can record directions, and match that with your speed, allowance for drift, etc. So on the vacant expanse of the sea you can plot how far and in which direction. Then when the Portuguese had the monopoly on trade on the west coast (of Africa) instead of heading into the headwinds, they had to tack out and then back in again, zig-zag fashion. Rather than be too close to dangerous shores, you tack on long tacks, and Lo and Behold they discovered Brazil. With repeated trips the estimates of distances become more accurate.
The Arabs crossed from Oman/Yemen and further south all the way to the Indian cities, Sri Lanka, and then further offshore trips to the Spice Islands, etc. The Vikings crossed open oceans, and the English, Bretons and Galicians crossed to the banks of Newfoundland, from which Columbus learned the Viking stories and descriptions of the land just beyond.
A place in Antarctica could just as easily/painstakingly be recorded by these dead reckoning and using the stars. About 40 years ago Dr David Lewis sailed from Tahiti? to NZ just following the setting stars, then the next setting constellation, etc.
And you can do it too.