Problem of approach to several asteroids.

Physics

Scientific paper

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Artificial Satellites: Minor Planets, Space Research: Minor Planets

Scientific paper

New results are presented for the problem of approach to several asteroids. For first asteroid Hestia, models have been constructed of approach to N asteroids for N = 2, 3, 4, 5. Variants are pointed out, in which the expenditures of intrinsic velocity, ωN, in the approach to N asteroids do not exceed: ω2 = 0.069, ω3 = 0.255, ω4 = 0.611, ω5 = 1.36 km/sec. The numerical iteration procedure has been carried out for solving the nonlinear problem of approach, with the help of the linear algorithm of optimal correction. The effectiveness of this procedure is analyzed in numerical samples.

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