Spinel oxide MnV$_{2}$O$_{4}$ has a complex structural and magnetic properties
such as orbital ordering, strong magnetic anisotropy and magnetostriction,
due to the strong correlation between spin, orbital and lattice.
The orbital and spin state,
the important properties
to understand strongly correlated system MnV$_{2}$O$_{4}$,
were investigated by V and Mn NMR spectra measured
with rotating the external magnetic field of 7 T.
The V$^{3+}$ ion, in the octahedral sites of the spinel structure,
is related with the orbital ordering of MnV$_{2}$O$_{4}$.
In order to observe orbital ordering directly,
V NMR spectra were measured with rotating external magnetic field.
The spectra show unique resonance frequency shift and peak splitting.
The change in the anisotropic hyperfine field
caused by the rotation of the electron spin
reflects the spatial electron distribution (orbital state).
Therefore the resonance frequency shift
and the peak splitting can be originated from the orbital ordering.
The resonance frequency shift and the peak splitting
are not only caused by anisotropic hyperfine field due to orbital ordering
but also by the dipole field originated from neighboring magnetic ions
and magnetic anisotropy.
This occurs in the rotation of the magnetic field
because the angle between the magnetic moment and the magnetic field
is an important factor to determine resonance frequency.
To analyse the orbital and spin state exactly,
the followings are calculated;
the frequency shift caused by orbital ordering,
the dipole field originated from the neighboring magnetic ions
and the strong magnetic anisotropy
are calculated in the rotation of the magnetic field.
The Mn NMR spectra,
measured with rotating external magnetic field,
also show a resonance frequency shift.
The main reasons for the resonance frequency shift
in the Mn NMR spectra
are the dipole field
originated from neighboring magnetic ions
and the magnetic anisotropy
because the Mn$^{...