Analytical solutions to the orbital motion of celestial objects have been nowadays mostly
replaced by numerical solutions, but they are still irreplaceable whenever speed is to be …

A popular intermediary in the theory of artificial satellites is obtained after the elimination of
parallactic terms from the J 2-problem Hamiltonian. The resulting quasi-Keplerian system is …

Upcoming missions toward remote planetary moons will fly in chaotic dynamic environments
that are significantly perturbed by the oblateness of the host planet. Such a dominant …

The study of libration-point location in the Mars-Phobos and Mars-Deimos three-body
systems is a relatively new endeavour. Although the study of libration points is centuries old …

Upcoming missions towards remote planetary moons will fly towards chaotic dynamical
environments that are significantly perturbed by the oblateness of the host planet. This paper …

An analytical solution is presented that captures the bulk of the dynamics of close flybys
about oblate celestial bodies. The solution is obtained by perturbations. More specifically, an …

This work describes the CSU's solution to the GTOC-X. It is first noted that dynamics has
several integrals and stars/spacecrafts move on invariant planes. Then galactic Lambert's …

This work describes the CSU's solution to the 10th Global Trajectory Optimisation
Competition (GTOC-X). It is expected to settle as many of the one hundred thousand star …