Observations and ephemerides of the faint satellites of Jupiter.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Ephemerides, Planets And Satellites: Jupiter

Scientific paper

The observations of the faint satellites of Jupiter JVI, JVII, JVIII and JIX, have been collected since their discoveries. Numerical integrations of their motions have been performed and fitted to all observations. The final standard deviations in right ascension and declination for the whole set of satellites lie between 0.9" and 1.4". Besides, a list of the individual observations and post-fit residuals is provided. Using the results from the numerical integrations, we have constructed ephemerides of the equatorial jovicentric rectangular coordinates of the satellites. Usually the results are represented in form of series of Chebychev polynomials; here instead, we have taken advantage of a new type of approximation in Poisson series, available on relatively long time intervals. The natural frequencies of the motion have been obtained by frequency analysis of the time series. This process of approximation economizes the amount of numbers necessary to evaluate the jovicentric or geocentric coordinates to a reasonable precision (below 0.01"), and allows one to produce compact and easily-handled ephemerides programs. The main practical result of this contribution is to provide to users numerical tools for the reconstruction of satellite ephemerides, covering 150 years starting from 1900. Tables and software are published in electronic form.

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