In my setting, humans want to colonize Jupiter, so as to establish an outpost in the outer Solar System, but cannot due to a barrage of reasons.
- Jupiter's gravity is really high and would prove to be hazardous to any astronaut who stays there long term.
- Jupiter has no surface to land on—this point is most stressed on by many scientists and engineers upon the concept of a Jupiterian outpost
- Even the humble airship is disastrously inefficient on Jupiter—due to the lack of a solid surface to land on, Zeppelins and cloud cities have been proposed as an alternative for colonizing Jupiter. However, even these zeppelins provide really little lift in Jupiter's atmosphere, as Jupiter's atmosphere's density is only about 0.16 kg/m3, just twice that of hydrogen
So scientists come up with a solution.
A giant solar shade is installed in orbit in the Lagrangian point between Jupiter and the Sun. The solar shade itself doesn't need to be really thick. It is really just a few micrometers thick.
This causes Jupiter's surface atmosphere to cool considerably.
Meanwhile to remove Jupiter's zenothermal heat/internal heat, large quantities of copper powder are sprayed into the planet by reusable probes that carry the powder. When the particles fall into the planet, they are heated up by the intense heat inside and are lifted up again. The copper particles radiate this heat into space, and then again fall back into the planet. This creates a runaway convection-cycle, that ends up radiating most of the heat into space. This results in the gas giant freezing into a solid ball of solid hydrogen. This hydrogen is then blasted out into space by impacting asteroids into it, leaving behind a rocky core. I computed the gravity of the core, which is 32,000 km wide and 20 earths-masses, and it is merely that of Neptune, i.e. the gravity is just 11 m/s2, just a bit more than Earths, but manageable.
What are the advantages and disadvantages of this terraforming technique?