Conjecture on the equivalence of two-impulse and one-impulse space interception problems

Consider the two-impulse space interception problem for a free-flight ballistic missile and the corresponding one-impulse problem, with the same numerical initial data and constraints. A locally optimal solution is a solution obtained by the numerical optimization procedure under consideration. Numerical equivalence conjecture. For all numerical examples under consideration, the two-impulse space interception problem is equivalent to the one-impulse case in the sense of having the same locally optimal solution. The statement is based only on the numerical examples in the paper, and the authors explicitly note that no theoretical proof is available and that further numerical verification is needed.