抄録
This paper proposes a basic method for formation flight based on Hill's equations of motion. It proposes a trajectory design of minimum fuel consumption for spacecraft relative position change by two impulses. Focusing on enlarging the formation size, we consider a problem to obtain the time and phase of the second impulse when the phase of the first impulse is given. First, the phase of the second impulse is obtained as a function of the time of the second impulse. Subsequently, the time of the second impulse is obtained to minimize the total fuel consumption. There are five cases to apply two impulses for minimum fuel consumption which depends on the phase of the first impulse. Numerical studies for enlarging the formation size by applying two impulses are carried out in order to verify the trajectory design.