Statistics – Computation
Scientific paper
Mar 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994em%26p...64..217g&link_type=abstract
Earth, Moon, and Planets, vol. 64, no. 3, p. 217-225
Statistics
Computation
Astronomical Models, Jupiter (Planet), Jupiter Satellites, Polytropic Processes, Shell Theory, Solar System, Spherical Shells, Algorithms, Computation, Density (Mass/Volume), Differential Equations, Radii, Tables (Data), Taylor Series
Scientific paper
We study the so-called 'inverse planetary problem' (i.e., given the distances from the center, masses, and radii of, say, three planets of a planetary system, find the optimum polytropic index, mass, and radius of their star, and also other quantities of interest, which depend either explicity or implicity on the foregoing ones, e.g., central and mean density, central and mean pressure, central and mean temperature, etc.) for the system of satellites of Jupiter. In particular, Jupiter is considered as 'star' and its satellites as 'planets' of a proper planetary system, which is then treated numerically on the basis of the so-called 'global polytropic model', developed recently by the first author.
Geroyannis V. S.
Valvi F. N.
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