Exponential distance laws for satellite systems

Details Exponential distance laws for satellite systems Exponential distance laws for satellite systems

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986em%26p...36..193p&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 36, Nov. 1986, p. 193-210. In French.

Astronomy and Astrophysics

Astronomy

4

Exponential Functions, Natural Satellites, Orbital Mechanics, Solar Orbits, Solar System, Astronomical Models, Density Distribution, Jupiter (Planet), Planetary Orbits, Regression Analysis, Saturn (Planet), Uranus (Planet)

Scientific paper

A new method to find the Basano and Hughes (1979) law for the solar system is presented, and it is applied to the satellite systems of Jupiter, Saturn and Uranus by introducing 'missing satellites' to fill the gaps in satellite sequences. Three exponential distance relations similar to those of Basano and Hughes are found, and the exponential spacing is explained by a simple model of an initial gaseous nebula subjected to small perturbations which generate oscillations in the density distribution. All the empty places in the satellite systems are occupied by rings and small satellites, and in the Uranus system, there are two empty places which could be filled by as-yet undiscovered satellites.

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