A new empirical formula for satellite distances and its explanation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

We found a new empirical fonmula for the distance of the n-th satellite in the Jovian, Saturnian and Uranian systems, an = B1 × Bn, with just two constants b1 and B for each system. The difference between the observed distances and the values calculated according to this formula is generally less than 10%. We take the view that the satellites were formed from the accretion of planetesimals in the gas-planetesimal disk surrounding the planet, that the main component of the disk was gas so that the effect of gas drag would be very important in the above process. Our theoretical analysis shows that one type of radial perturbation in the disk will lead to instability and hence the formation of gaseous rings with enhanced density. Within these rings, the planetesimals stick together to form the satellites, and it is the form of the distribution of the rings that leads to the distance law.

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