On the determination of approximations of first integrals for few-body gravitational problems: With applications to capture trajectories

On the determination of approximations of first integrals using the method of integrating vectors for ODE systems, as applied to few-body gravitational problems. Considers the Jacobi 3-body problem, the circular restricted 3-body problem and a 4-body model for ballistic lunar capture. Also discusses the application of these techniques to...

On the integral-conservative numerical solution of few-body gravitational problems: With applications to capture trajectories

On the design and implementation of integral-conservative numerical integration schemes for few-body problems in astrodynamics. Focuses on exact and approximate energy and angular-momentum integrals in the Jacobi 3-body problem, and related Jacobi-type integrals in the circular restricted 3-body problem and a 4-body model for ballistic lunar...