  Several sources of angular anisotropy for fission fragments and prompt
neutrons have been studied in neutron-induced fission reactions. These include
kinematic recoils of the target from the incident neutron beam and the
fragments from the emission of the prompt neutrons, preferential directions of
the emission of the fission fragments with respect to the beam axis due to the
population of particular transition states at the fission barrier, and
forward-peaked angular distributions of pre-equilibrium neutrons which are
emitted before the formation of a compound nucleus. In addition, there are
several potential sources of angular anisotropies that are more difficult to
disentangle: the angular distributions of prompt neutrons from fully
accelerated fragments or from scission neutrons, and the emission of neutrons
from fission fragments that are not fully accelerated. In this work, we study
the effects of the first group of anisotropy sources, particularly exploring
the correlations between the fission fragment anisotropy and the resulting
neutron anisotropy. While kinematic effects were already accounted for in our
Hauser-Feshbach Monte Carlo code, $\mathtt{CGMF}$, anisotropic angular
distributions for the fission fragments and pre-equilibrium neutrons resulting
from neutron-induced fission on $^{233,234,235,238}$U, $^{239,241}$Pu, and
$^{237}$Np have been introduced for the first time. The effects of these
sources of anisotropy are examined over a range of incident neutron energies,
from thermal to 20 MeV, and compared to experimental data from the Chi-Nu
liquid scintillator array. The anisotropy of the fission fragments is reflected
in the anisotropy of the prompt neutrons, especially as the outgoing energy of
the prompt neutrons increases, allowing for an extraction of the fission
fragment anisotropy to be made from a measurement of the neutrons.
