The capture of comets by swing-by

In this paper, numerical simulations are made, using the restricted three-body problem as the mathematical model, to calculate the effects of a swing-by with the planet Jupiter in the orbit of a comet. In particular, the orbital elements of the comets are calculated after the passage by Jupiter, the distribution obtained is shown and the probability of capture is calculated as a function of the Jacobian constant of the comet. The results show that the probability of capture goes from 0.2% to 3.6%, depending on the value of the Jacobian constant of the comet. The details of this mechanism and s...