Numerical solutions of Lambert two-impulse orbital transfer with unfi x ed initial position and transfer time were studied. The velocity increment versu s initial position and transfer time were showed in the 3-dimensional plots or 2 -dimensional sections, which are valuable for the practical designing tasks. Base d on the numerical solutions, the optimization problem of Lambert two-impulse or b ital transfer was then proposed and solved by genetic algorithm(GA). The goal w as to find the optimal initial position and transfer time to minimize the weight ed sum of fuel and time. This method was tested in two examples: one was the fue l optimal transfer between coplanar circular orbits, in which the computing resu lt based on GA was compared with that of Hohmann transfer. Another was the fuel and time optimal transfer between elliptical orbits of restricted initial positi on. Results indicate that GA is valid to solve the optimal transfer problems.
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