ИСТИНА

The GTOC is a global trajectory optimization competition, which was organized by Dario Izzo of the European Space Agency’s Advanced Concepts Team in 2005. GTOC X was organized by winners of GTOC 9 and there colleges, the team of the Jet Propulsion Laboratory Outer Planets Mission Analysis Group (JPL) NASA, Anastassios Petropoulos, Eric Gustafson, Gregory Whiffen, Brian Anderson. GTOC X started 15 May 2019 with the post of the problem statement on the official website. The solution submission period closed 12 June. Our team 31 MSU-RAS-RUDN have participated in GTOC for the first time. The problem was called "Settlers of the Galaxy". Review of the statement is represented below. In about ten thousand years from the present, humanity will reset its counting of years to zero. Year Zero will be the year when humanity decides the time is ripe for the human race to boldly venture into the galaxy and settle other star systems. One hundred thousand star systems in the galaxy have been identified as being suitable for settlement. Even in this Year Zero, although technologies and knowledge have dramatically progressed, we are still subject to the tyranny of inertia and remain far from the near-instantaneous space travel depicted fancifully in science fiction. However, enormous strides have been made in the ability to live in space, so much so that self-reliant settler vessels can travel through space for hundreds of thousands of generations, making it possible for humans to reach and settle other star systems. The task in GTOC X is to settle as many of the one hundred thousand star systems as possible, in as uniform a spatial distribution as possible, while using as little propulsive velocity change as possible. The settlement of the galaxy starts by fanning out from our home star, Sol. Once another star is settled, further settlements can fan out from that star. Solutions that are submitted earlier rather than later in the submission period will be rewarded a bonus stemming from the fact that humanity's resources are dwindling and the sooner we decide on a settlement plan for the galaxy, the better. Our team solved this problem without a supercomputer. The initial approximation was constructed on the base of gradient method in plane case. The three-dimensional problem has solved numerically with the use of the shooting method, modified Newton's method and Runge-Kutta's methods. Our final verified and accepted result is 968 stars settled with a value of Merit function is 201.583171.