J. Kawaguchi et H. Matsuo, LOW-THRUST FLYBY GUIDANCE AND AN EXTENDED OPTIMAL SPACING RULE, Journal of guidance, control, and dynamics, 19(2), 1996, pp. 347-354
A new extended spacing law governing midcourse correction points is gi
ven for electrically propelled interplanetary missions. The use of ele
ctric propulsion is inappropriate for guidance of flyby missions becau
se little time is available to guide the spacecraft, especially when i
t is within close range of the target, Therefore, some chemical fuel i
s inevitably required onboard the spacecraft. The problem treated here
is to determine how much chemical fuel is required to cancel out the
potential electric and impulsive correction errors, A generalized spac
ing rule that determines the optimal correction points is derived. In
addition, a simple analytical fuel estimate is presented. Numerical il
lustrations include a Monte Carlo simulation as well as the return fli
ght from the asteroid back to Earth with rigorous ephemerides and time
system, demonstrating the newly developed spacing rule.