Trajectories with velocity corrections in the impulsive transfer orbits

ABSTRACT

The main goal of this paper is to acquire the precise final elliptic orbit stemming from an initial orbit via an optimal transfer orbit, by applying small tangential impulses at peri-apse and apoapse. We consider two systems; the generalized Hohmann and the generalized bi-elliptic transfer orbits. For the first system, we obtain the four relationships connecting the increments in major axes and eccentricities with the correctional increments in velocities delta vA and delta vB at points A, B. For the second system, we derive the three relationships, connecting slight changes in major axes with small increments in velocities at points A, B and C due to motor thrusts. Forminimum fuel consumption, we consider the initial impulse applied at periapse of initial orbit