Theory of the phenomena of Jupiter's Galilean satellites - A Cheyshev-polynomial representation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Eclipses, Galilean Satellites, Planet Ephemerides, Planetology, Chebyshev Approximation, Phenomenology, Planetary Orbits, Umbras

Scientific paper

The author presents a new method to obtain compact ephemerides of the predictions of the phenomena of Jupiter's Galilean satellites. The first step is to compute punctual phenomena using the equations of the cone of umbra for eclipses and shadows, and the equations of the cone of visibility for transits and occultations. Under these hypotheses of punctuality of the Sun and the Earth, Jupiter is considered to be a solid, oblate, body and about 3000 phenomena are calculable for one year. Using these results, the second step is to calculate a Chebychev representation to obtain compact ephemerides. 15 coefficients give a representation of each type of phenomenon for a year and for one satellite. The precision is better than 51 seconds. The author gives the coefficients for 1984.

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