Families of Io-Europa-Ganymede Triple Cyclers
Ballistic cycler trajectories that repeatedly encounter the Jovian moons Io, Europa, and Ganymede are investigated. The 1:2:4 orbital resonance among these moons allows for trajectories that periodically fly by the three bodies, and, in an ideal world, can repeat indefinitely. An initial search method is implemented to determine if the location of the moons in a specific geometry can give way to a possible cycler. Lambert’s problem is then solved to determine the legs connecting consecutive encounters, allowing a maneuver at periapsis of the encounter if necessary. Families of solutions are classified by synodic period, and conversion to high fidelity model is outlined.