  Advances in measurements of jets and collective phenomena in
ultrarelativistic heavy ion collisions have led to further understanding of the
properties of the medium created in such collisions. Measurements of the
correlations between the axes of reconstructed jets and the reaction plane or
second-order participant plane of the bulk medium (defined as jet $v_2$), as
well as the higher-order participant planes (jet $v_n$), provide information on
medium-induced parton energy loss. Additionally, knowledge of jet $v_n$ as well
as the ability to reconstruct the event plane in the presence of a jet are
necessary in analyses of jet-triggered particle correlations, which are used to
study medium-induced jet shape modification. However, the presence of a jet can
bias the event plane calculation, leading to an overestimation of jet $v_2$.
This paper proposes a method for calculating jet $v_2$ (and by extension, the
higher jet $v_n$ harmonics) and the event plane in an unbiased way, using
knowledge of the azimuthal angle of the jet axis from full jet reconstruction.
