Global optimal double-pulse orbit transfer method under time free conditions

The invention provides a global optimal double-pulse orbit transfer method under time free conditions and relates to a global optimal double-pulse orbit transfer method. The invention provides the global optimal double-pulse orbit transfer method under the time free conditions so as to solve the problem in the prior art that for the Lambert problem, which orbit is the orbit with lowest energy consumption is not given out. The global optimal double-pulse orbit transfer method provided by the invention is realized by the following steps: determining true anomalies, namely f1 and f2 respectively; 2. defining energy consumed by an optimal double-pulse transfer orbit; 3. calculating to obtain wc and wp; 4. determining constants according to the wc and the wp; 5. decomposing a velocity pulse; 6. obtaining an eight-order polynomial about the wc; 7. rooting the eight-order polynomial to obtain wcop; 8. determining the optimal double-pulse transfer orbit under the time free conditions; 9. determining major semi axis length, w1=|w1|| and transfer time; 10. determining the transfer orbit; and 11, obtaining global optimal double-pulse energy and global optimal solutions corresponding to the global optimal double-pulse energy. The global optimal double-pulse orbit transfer method provided by the invention is applied to the field of global optimal double-pulse orbit transfer.