There is a cool constraint feature in STK that lets you ensure you only compute access for orbits that are above a certain angular rate. As for whether you can see the angular rate, I have not been able to find that property on STK yet.
I was able to find a feature in STK that allows me to filter such that Access is only achieved and computed when the satellite is in the Umbra or Penumbra (it is called lighting in STK: Constraints - Sun (agi.com)). Following this discovery and implementation, I recomputed access for the following three orbits, all of which met the sun-synched criteria from last week:
a = 15100 km, e = 0.55, inc = 169 deg
I still filtered for evenings from 17:30 to 6:30, so that still cut off some times.
As you can see, the times for access are now much more realistic (on the order of 10 minutes). We still could not see Antarctica, and we can barely see Greenland. With this new constraint, there is a gap in times in Cambridge in April and October, and a gap in times in July in Chile. Access numbers are noted below for this.
Next, I did a = 12000 km, e = 0.55, inc = 169 deg
There is no access for Greenland or for Antarctica. However, there
