Given. The Earth has too many nukes. Jupiter is too small to self ignite as a brown dwarf. Jupiter currently emits more energy than received from the Sun.
Act. Throw nuclear weapons into Jupiter and a brown dwarf will thaw its satellites.
Jupiter has large cold satellites, which could be Earthlike. Earth emits more energy than from the Sun from radioactive elements still decaying in the Earth's core. Jupiter also generates energy, perhaps low level thermonuclear activity. Jupiter has a magnetic field like the Sun does. Jupiter's internal pressure is near D+D reaction start. That bodes well for reaction continuing after triggering. Another Sun in the sky. Yes, the ignition of Jupiter was shown in the movie "2001" but I haven't heard any recent thoughts about that.