I can't do it... How do you guys do it..?
I'm at turn 100+ and still researching Astro
Slavs get one free tech from launching a satellite, then you can get another free tech from the institute quest and there are 4 techs you need to research:
Engineering 95 beakers
Robotics 254 beakers
Mechatronics 1160 beakers
Astrodynamics 2480 beakers
You can hard research engineering and robotics, then use the free tech from the institute quest to get mechantronics and the satellite launch to get astrodynamics. The problem being that the reward from the institute quest is unreliable from my understanding and you can often wait 40+ turns to get it. You could theoretically get planet carvers before turn 50-75 if everything went exactly according to plan.
I've never tried this strategy, but that is how I assume it would work.