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KIAM Preprint  6, Moscow, 2021
Authors: Golubev Y.F., Grushevskii A.V., Korianov V.V., Tuchin A.G., Tuchin D.A.
Rutherford's extended formula and optimization of the gravity assists beam modeling in the Solar system
Abstract:
The extended Rutherford formula for the gravitational scattering is obtained. Semi-analytical guaranteeing estimates are presented for a sufficient number of a spacecraft virtual trajectories in a beam when simulating gravity assist maneuvers around the Solar system massive bodies which are forming the unceasing procedure for searching for the interplanetary ballistic scenarios. A special importance here is assured by the guaranteed synthesis of the bang-bang gravity assist maneuvers chains if it is necessary to change the asymptotic velocity of the spacecraft relative to the planet.
Keywords:
gravitational scattering, trajectory beams, extended Rutherfords formula, bang-bang gravity assists
Publication language: russian,  pages: 31
Research direction:
Theoretical and applied problems of mechanics
Russian source text:
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About authors:
  • Golubev Yury Filippovich,  orcid.org/0000-0002-2450-0224KIAM RAS
  • Grushevskii Alexey Vasilyevich,  orcid.org/0000-0001-9519-6226KIAM RAS
  • Korianov Victor Vladimirovich,  orcid.org/0000-0001-8657-722XKIAM RAS
  • Tuchin Andrey Georgievich,  orcid.org/0000-0002-9099-3100KIAM RAS
  • Tuchin Denis Andreevich,  orcid.org/0000-0003-3116-6161KIAM RAS