An analytical description of the three-dimensional swing-by.

Autor: Formiga, J., Santos, Denilson
Předmět:
Zdroj: Computational & Applied Mathematics; Jul2015, Vol. 34 Issue 2, p491-506, 16p
Abstrakt: This paper presents an analytical description of the three-dimensional swing-by. The main goal is to derive analytical equations for the variations of all the orbital elements of a particle that makes a close approach with a celestial body. Those derivations are based in the 'patched-conics' approximation, which means that a series of keplerian orbits are assumed for the particle. After deriving the equations they are verified using the Tisserand's Criterion, which is a rule that must be followed by the keplerian elements before and after a swing-by. Then, simulations using those equations are made to verify the effects of the swing-bys. The final contribution is a complete set of analytical equations, developed and confirmed by numerical simulations. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index