So, I responded to a post of someone saying that you could turn Jupiter into a spaceship using fusion candles. I mentioned that doing so would dramatically heat up the planet, especially if you were to accelerate it out of orbit of the sun over the course of decades, even centuries if needed. Someone else jumped in and claimed that the black body radiation of the planet would keep the temperature nominal. Furthermore the time period of acceleration applied would not be a significant factor because the temperature of the planet would reach "equilibrium". I thought this was absurd considering the amount of energy required to accelerate Jupiter with this method, as it was claimed these candles would be fusing hydrogen and helium of the atmosphere of Jupiter and blasting the resulting fusion plasma down on the planet at .5c to provide the acceleration. And while of course there would likely be some max temperature Jupiter would reach where the amount of thermal radiation would be equal to the amount these candles add to Jupiter, that temperature would be quite significant. Much much higher than the current temperature of the planet.
I need everyone's help to settle the debate. Maths/Calculation would be greatly appreciated! (here is a website I found that covers the basic idea: https://www.orionsarm.com/eg-article/6036af70d08fd)
