Method of N-body simulation on the MOdified Gravity
  Scalar Tensor Vector Gravity(STVG) is one of a modified gravity theory
developed by John Moffat(2005). MOG is abbreviated name for this theory.This
theory is added a massive vector field to Brans-Dicke theory. It can explain a
galactic rotary curve and the structure formation without dark matter. Without
dark energy,acceleration universe too. However,these are claims by the
developer and collaboraters.This theory was only inspected by simple
approximate calculation. Therefore it needs more objective verifications.We
will carried out verification from the viewpoint of N-body simulation. Such
study is already accomplished by Brandao(2010).However, they did not precisely
formulate N-body simulation on MOG. This paper shows formulation of the N-body
simulation on MOG more precisely.
