More maths - so hit the ‘Back’ button now if you wish!
I have been experimenting (with a couple of classes) with producing ‘lower bounds’ for transfer times between summits.
Using OS grid references and Pythagoras’ Theorem, we worked out a direct linear distance from the parking spot to the summit/activation point. This being a straight line rather than following any likely path is why the result is a ‘lower bound’ rather than a definitive answer.
We then used Naismith’s Rule to calculate the walking time. Naismith’s Rule is known and accepted to be optimistic, hence strengthening the fact that this will be a lower bound. To obtain the full time for summit to summit transfer, the 1st summit descent Naismith time is added to the driving time courtesy of Multimap (you just enter grid references of parking spots it it works it all out for you), and then added to the 2nd summit ascent time (also Naismith).
The final bit, is to test the theory against the practice. Here are the results:
The Cloud G/SP-015 - summit SJ904637 - parking spot SJ907633
NS distance = 0.3km, EW distance = 0.4km; direct distance by PT = 0.5km
Gun G/SP-013 - summit SJ970615 - parking spot SJ967609
To be continued…