First ACT global trajectory optimisation competition: Results found at Moscow State University

The paper presents the solution of the first ACT global trajectory optimisation competition problem on the transfer of a spacecraft from Earth to asteroid 2001 TW-229. The initial optimal control problem is reduced to an auxiliary mathematical programming problem by means of simplifying assumptions. The auxiliary problem is solved numerically with the use of a decomposition method. The solution is then employed to construct the Pontrjagin extremals of the initial problem.