His 18" would have had a limiting mag of about 15.8 with a theoretical resolution of 0.3 arc sec's. Now, I am very confident that from Slough in England this theoretical limit of resolution would never have been achieved.
I think that your best bet maybe to look for a scope with similar limiting mag. 14" aperture will give a theoretical limiting mag of 15.3 while 16" will be 15.5
Next problem is that, due to his long FL and his skill at making eyepieces he was able to use his scope at very high magnification and according to his observing notes, recorded by Williams sister Caroline, was able to use magnifications of over 1000 x.
Your problem is therefore coming up with a scope of similar limiting magnitude and capable of very high magnification. Obviously fast focal ratio and high magnification are not commodities that go together.
Sorry about this, I feel like I haven't helped one bit.
Regards
Trevor[/QUOTE]
Hi Trevor, actually you and the others are being quite helpful.
However two small points; (1) I am attempting to replicate John Herschel not William Herschel. (2) In particular John's work in South Africa. Not that these points change any of the math just that I like to nit pick.
I do not have the bank roll to build a true replica so store bought is my reasonable option. Everyone seems to agree that a reflector with a reflectivity in the mid 90's and an aperture of 12 / 16" with a narrow fov ep is about as close as I can get.
One person with a nasty sense of humor even suggested buying a good 18" mirror and attacking it with steal wool. A slightly nicer suggestion was a good 18" mirror and a moon filter.
Brian