Out of ecliptic missions using Venus or earth gravity assists

Multiple Venus or earth gravity-assist flybys are investigated as a means of producing trajectories that are inclined to the solar equator at low cost in total delta V. There are three phases to such trajectories: (1) production of a high flyby speed at the planet encounter, (2) attainment of one-to-one resonance by orbit pumping, and (3) deflection to high inclination by orbit cranking. Flybys are restricted to occur at the node of the planet orbit and the solar equator so as to take advantage of the natural inclination of the solar equator. For Venus flybys, the high approach speed is inherent in the earth to Venus trajectory. For earth flybys, the production of high approach speed can be accomplished by a VEGA (Venus-earth-gravity assist) trajectory or by a delta V-EGA trajectory. The general result is that moderate inclinations to the solar equator can be obtained at moderate total delta V cost, but at flight times which rise to five years for an inclination of 37 deg and to 13 years for an inclination of 54 deg.