Both are great cameras for astrophotography - you can't go wrong with either.
Minor advantages of the KP are its smaller size and lower cost.
Minor advantages of the K-1 are its bigger battery and very versatile tilting screen.
One tie-breaker might be the type of astrophotography you want to do.
If you want to do wide-angle astrophotography (Milky Way, meteor showers, aurora, star trails, or stars+landscapes), then the larger sensor of the K-1 might make it a better choice.
If you want to do narrow-angle astrophotography (moon, nebulae, galaxies, etc.), then the smaller sensor of the KP might make it a better choice.
Have fun!
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