An elegant Lambert algorithm

A fundamental problem in astrodynamics is concerned with the determination of an orbit, having a specified flight time and connecting two position vectors. The present investigation is concerned with a new method for solving this problem, which is frequently referred to as Lambert's problem. This method parallels closely Gauss' classical method but is superior to it. The new algorithm converges rapidly for any given geometry and time of flight. Since there is no need to be concerned with specific starting values for different input parameters, this method appears to be a very attractive alternative to Newton-Raphson schemes for most space guidance applications.