Constructing the trajectory of a small spacecraft for flying around the base spacecraft for the purpose of external inspection and estimating the energy costs for the flyby maneuver

Abstract

The paper presents a methodology for constructing a flyby trajectory of a base spacecraft for the purpose
of inspecting it using a small spacecraft carried on board and estimating the required characteristic
velocity reserves for the flyby maneuver. The use of approximate calculation methods made it possible
to obtain the simplest dependences of trajectory parameters with high accuracy. The technique allows
not only to estimate the energy costs for orbital maneuvers, but also allows one to calculate the values
of control impulses for the real problem of controlling the motion of a small spacecraft relative to the
base spacecraft.