Asteroids and comets are the objects of study for a number of recent scientific misions. It is of interest to find orbits that wil neither escape the asteroid nor impact the surface. It is also desirable to find orbits that are periodic, to simplify mission design, and also polar, so that the entire surface including the polar regions can be viewed. The dynamics about such bodies are affected by numerous perturbations, making closed-form analytic solutions to the equations of motion difficult to find, if not impossible. Semi-analytic and numerical methods can sometimes be useful and are employed in this work.
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