The inverse planetary problem: A numerical treatment

Details The inverse planetary problem: A numerical treatment The inverse planetary problem: A numerical treatment

Oct 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993em%26p...63...15g&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 63, no. 1, p. 15-21

Computer Science

Numerical Analysis

1

Astronomical Models, Numerical Analysis, Planetary Systems, Polytropic Processes, Algorithms, Planetary Mass, Planetary Orbits, Stellar Mass

Scientific paper

The so-called 'inverse planetary problem' can be started as follows: given the distances from the center, masses, and radii of 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 explicitly or implicitly on the foregoing ones (e.g., central and mean density, central and mean pressure, central and mean temperature). It is hereafter tacitly assumed that the system is opaque with respect to observations concerning periods of planetary orbits; hence, we cannot have any relevant estimates due to the well-known period laws. In the present paper, the inverse planetary problem is treated numerically on the basis of the so-called 'global polytropic model.'

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