Relativistic Effects on Triple Black Holes II: The Influence of Spin in
  Burrau's Problem
  We continue our study of triple systems of black holes in the context of
Burrau's problem by including the effect of spin. Numerical integration of
orbits was conducted using ARCcode with relativistic corrections
(post-Newtonian) up to the 2.5$^{th}$ order. Pythagorean triangles with with
different linear scales were selected where the largest black hole in these
systems were given spin vectors in normalised units where maximum is close to
unity, ranging from 0 to about 0.95. We also study different masses in scales
ranging from 10$^{0}$ M$_{\odot}$ - 10$^{12}$ M$_{\odot}$. It was found that
while there was no distinctive effect on the number of two-body encounters nor
the fraction of mergers, the lifetimes of the systems may have been affected -
particularly in the intermediary mass ranges (10$^{4}$ M$_{\odot}$-10$^{7}$
M$_{\odot}$) in comparison to the zero spin problem. Differences were also
found between configurations considered more hierarchical and those of lesser
hierarchy. Triple systems ended up moving from the two-dimensional planar
problem to the three dimensional one where we see increased motion in the
z-axis with increasing spin magnitude for the large mass systems. The argument
of periapsis, $\omega$, and the longitude of ascending node, $\Omega$ between
the rotating black hole and a non-rotating one within the system, were also
affected by the added spin.
