New analytical representation of the ephemerides of the major planets in the solar system

An analytical expansion of the osculating orbital elements for all major planets of the Solar system into compact analytical series is presented. The method of spectral analysis of the numerical planetary ephemerides DE431 over the entire time interval of 30 000 years covered by them has been used. The derived series surpass considerably all of the known analogs in their compactness and accuracy of representing the planetary ephemerides over long time intervals.