Improvement of formulas with mean arguments for inverse solution of long geodetics

Iordan-Butkevich’s unlogarithmic formulas variant for inverse solution of long geodetics is obtained. More effective method of these formulas usage is suggested in comparison with recommended method for calculations. The system of formulas consisting only of three equations, instead of five is obtained by process of elimination from algorithm of spherical quantity σ. According to these formulas on latitudes 0º ≤ В ≤ 75º with distances up to 1000 km long lines on the Earth is determined with mistake Δ S ≤ 0,1 мм, and azimuths with mistake Δ А ≤ 0,00003″.