Before we jump into premature conclusion with easy answers as 'nothing at all' or 'at least they are both orbiting the Sun' perhaps we could do some quick research for just in case... With equatorial radius of Jupiter almost thirty times bigger than the same property on Mercury, obvious composition difference between one gas giant and small rocky planet and all the other major difference in mass, density, temperature, orbital inclination, orbit period and with almost everything we could compare the two, it is very hard to find the slightest similarity.
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