Ballistic capture orbits offer safer Mars injection at longer transfer time. However, the search
for such an extremely rare event is a computationally intensive process. Indeed, it requires
the propagation of a grid sampling the whole search space. This work proposes a novel
ballistic capture search algorithm based on Taylor differential algebra propagation. This
algorithm provides a continuous description of the search space compared to classical grid
sampling research and focuses on areas where the nonlinearities are the largest …

Ballistic capture orbits offer safer Mars injection at longer transfer time. However, the search
for such an extremely rare event is a computationally-intensive process. Indeed, it requires
the propagation of a grid sampling the whole search space. This work proposes a novel
ballistic capture search algorithm based on Taylor differential algebra propagation. This
algorithm provides a continuous description of the search space compared to classical grid
sampling research and focuses on areas where the nonlinearities are the largest. Two …