This article is cited in 3 papers

Rutherford's extended formula and optimization of the gravity assists beam modeling in the Solar system

Yu. F. Golubev, A. V. Grushevskii, V. V. Koryanov, A. G. Tuchin, D. A. Tuchin


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 Rutherford's formula, bang-bang gravity assists.

DOI: 10.20948/prepr-2021-6