A specialized Echeloned Poisson Series Processor (EPSP) is proposed. It is
a typical software for the implementation of analytical algorithms of Celes
tial Mechanics. EPSP is designed for manipulating long polynomial-trigonome
tric series with literal divisors. The coefficients of these echeloned seri
es are the rational or floating-point numbers. The Keplerian processor and
analytical generator of special celestial mechanics functions based on the
EPSP are also developed.