three_body_restricted_first_order

diffeqzoo.ivps.three_body_restricted_first_order(**kwargs)

Construct the restricted three-body problem as a first-order differential equation.

Warning

This problem has been generated by wrapping the function three_body_restricted() through the function diffeqzoo.transform.second_to_first_order_auto().

The problem is not originally of first order. If you have access to solvers for second-order problems, it might be more efficient to solve the original problem.

a second-order differential equation.

The restricted three-body problem describes how a body of negligible mass moves under the influence of two massive bodies. It can be described in terms of two-body motion.

It is commonly pointed to p. 129 of Hairer et al. (1993) as the first reference.

BibTex for Hairer et al. (1993)

@book{hairer1993solving,
    title={Solving Ordinary Differential equations I, Nonstiff Problems},
    author={Hairer, Ernst and N{\o}rsett, Syvert P and Wanner, Gerhard},
    year={1993},
    publisher={Springer}
    edition={2}
}