Trajectory Correction Manoeuvres in the Transfer to Libration Point Orbits

G. Gomez and M. Marcote

Abstract. In this paper we study the manoeuvres to be done by a spacecraft in
order to correct the error in the execution of the injection manoeuvre in the
trans- fer trajectory. We will consider the case in which the nominal
trajectory is a halo orbit around the collinear equilibrium point L1. The
results can be easily extended to the L2 point and to other kinds of libration
point orbits, such as Lissajous and quasi-halo orbits. For our study we use
simple dynamical sys- tems concepts related with the invariant manifolds of the
target orbit, and we compare our results with those obtained by Serban et al.
using optimal control.