BOUNDS ON THE SOLUTION TO KEPLERS EQUATION - II - UNIVERSAL AND OPTIMAL STARTING POINTS

In this paper we find bounds on the solution to Kepler's equation for hyperbolic and parabolic motions. Two general concepts introduced here may be proved useful in similar numerical problems. Moreover, we give optimal starting points for Kepler's equation in hyperbolic and ellip tic motions with particular attention to nearly parabolic orbits. It a llows to expand the accepted earlier interval \e - 1\ less than or equ al to 0.01 for nearly parabolic orbits to the interval \e - 1\ less th an or equal to 0.05.