Sensitivity of transfer orbits to small errors in position and velocity at cut-off

Abstract

We have obtained the expressions of the errors in velocity and position at cut-off, for the hyperbolic and parabolic orbits limited to the coplanar case. The value of Δ σ , the error in σ , due to impulse error Δ I , where σ is any orbital element is assigned by partial differentiations of the relevant equations of hyperbolic and parabolic orbits, as interpreted in two sections of the paper.