Hi Tony, the rule-of-thumb I remember for astrophotography is: guidescope_fl >= main_fl/3.
But nowadays, with PHDs multi-star guiding, lower guidescope fls are possible. Currently I am using an RC10 telescope with 1600mm fl and a 200mm guidescope.
This works well until seeing is below about 1.3arcsec. Then I begin to see that guiding in RA is slightly worse than in DEC: stars become elongated.
PHD gives you the RMS guiding accuracy in RA and DEC. For my 200mm guiding scope on a CEM70 mount values are just now 0.33 and 0.25arcsec. This are just statistical values. Of course they can be lower then the guidescope resolution, because many images are accumulated to determine the RMS values. Limits for the RMS values achievable arise in my experience by:
- Whether you are using multi-star guiding or not
- How well the mount is made (worm gear drive, stepper motor shaft...)
- Wind
- Seeing conditions
- How cables are attached to the telescope
- How the telescope is balanced
- The position of the telescope in the sky
The guide scope resolution most of the time does not play a direct role here, in the sense that you can guide more accurate: For my guide scope the resolution is 0.58arcsec.
Instead, there is a general relation between focal length of a telescope, the pixel size of the sensor, and the seeing conditions: you neither want to have excessive oversampling nor undersampling. Here is a good web site about this topic:
https://astronomy.tools/calculators/ccd_suitabilityHope this helps
Götz