On solving Kepler's equation for nearly parabolic orbits |
| |
Authors: | Richard A Serafin |
| |
Institution: | (1) Uhlandstrae, 46, 46047 Oberhausen, Germany |
| |
Abstract: | We deal here with the efficient starting points for Kepler's equation in the special case of nearly parabolic orbits. Our approach provides with very simple formulas that allow calculating these points on a scientific vest-pocket calculator. Moreover, srtarting with these points in the Newton's method we can calculate a root of Kepler's equation with an accuracy greater than 0.001 in 0–2 iterations. This accuracy holds for the true anomaly || 135° and |e – 1| 0.01. We explain the reason for this effect also.Dedicated to the memory of Professor G.N. Duboshin (1903–1986). |
| |
Keywords: | Kepler's equation nearly parabolic orbits starting points |
本文献已被 SpringerLink 等数据库收录! |