A nebular analysis of the central Orion Nebula with MUSE
  A nebular analysis of the central Orion Nebula and its main structures is
presented. We exploit MUSE integral field observations in the wavelength range
4595-9366 \r{A} to produce the first O, S and N ionic and total abundance maps
of a region spanning 6' x 5' with a spatial resolution of 0.2". We use the
S$_{23}$ ( = ([SII]$\lambda$6717,31+[SIII]$\lambda$9068)/H$\beta$) parameter,
together with [OII]/[OIII] as an indicator of the degree of ionisation, to
distinguish between the various small-scale structures. The only Orion Bullet
covered by MUSE is HH 201, which shows a double component in the
[FeII]$\lambda$8617 line throughout indicating an expansion, and we discuss a
scenario in which this object is undergoing a disruptive event. We separate the
proplyds located south of the Bright Bar into four categories depending on
their S$_{23}$ values, propose the utility of the S$_{23}$ parameter as an
indicator of the shock-contribution to the excitation of line-emitting atoms,
and show that the MUSE data is able to identify the proplyds associated with
disks and microjets. We compute the second order structure function for the
H$\alpha$, [OIII]$\lambda$5007, [SII]$\lambda$6731 and [OI]$\lambda$6300
emission lines to analyse the turbulent velocity field of the region covered
with MUSE. We find that the spectral and spatial resolution of MUSE is not able
to faithfully reproduce the structure functions of previous works.
