Аннотация:We take the long-term numerical ephemeris of the major planets DE424 (Folkner 2011)
and approximate the orbital elements of the telluric planets from that ephemeris by trigonometric series. Amplitudes of the series' terms are the second- or third-degree polynomials of time, and arguments are the fourth-degree time polynomials. The resulting series are precise and compact; in particular the maximum deviation of the planetary mean longitude calculated by the analytical series from that given by DE-424 over [-3000; 3000], the total time span covered by the numerical ephemeris, is:
• for Mercury: 0.0016 arcsec (the series includes 767 terms);
• for Venus: 0.015 arcsec (648 terms);
• for the Earth-Moon barycenter: 0.019 arcsec (535 terms);
• for Mars: 0.056 arcsec (770 terms).