ИСТИНА

We suggest a new analytical technique for calculation of motion perturbations of Earth artificial satellites caused by the gravity attraction of the Moon, the Sun and major planets. First, we use the modern numerical ephemerides of the major planets and the Moon of DE-series (JPL NASA) in order to calculate the values of all components of the corresponding perturbation function with a small sampling step over a long interval of time (usually, several thousand years). Then, the tabulated values of the perturbation function are processed by the author’s modification of the spectral analysis method in order to get accurate harmonic series approximating the function over the entire time interval. The feature of the method is that both amplitudes and arguments of the series terms are obtained as high-degree polynomials of time. The large length of the original time interval allows us to better separate terms of close frequencies. Then we use the so-derived series in our general algorithm that allows one to represent the orbital elements of satellite motion by analytical series over a long-term interval. The algorithm was early applied to the accurate analytical calculation of all geodynamical effects on the Earth satellite motion, like the non-central Earth gravity field, precession and nutation of the geoequator, polar motion and both solid Earth and ocean tides. The description of the developed algorithms and the results obtained for the analytical calculation of motion perturbations of Earth artificial satellites due to the Moon, the Sun and major planets over a long interval of time is presented.