We derive new solutions for the binary black hole model of OJ 287, using the 2005 November outburst as one of the fixed points. Previous models have used the 1994 September outburst, which is in many ways ill defined and leads to considerable uncertainty in the orbit. In addition, the inherent asymmetry in the double outburst structure, due to the vantage point of the observer lying to one side of the accretion disk, has been included in the models for the first time. The disk bending is calculated using a million-particle disk as a model for the accretion disk. In addition, allowance is made for the possibility of different values of disk thickness. The parameters of the system to be determined are the orbital period, fixed by the separation of the 1947.30 and 1983.00 outbursts; the orientation of the major axis of the orbit at a given time, fixed by the 1972.99 outburst; the time delay factor, which is a function of the disk thickness, fixed by the 2005.82 outburst; and the precession rate of the binary, fixed by the 1913.02 outburst. A unique solution is found for both the case of gravitational radiation and that of no gravitational radiation. The 2007 September outburst begins 2007 September 9-16 in the former models and 2007 October 8 in the latter model. The 3 week difference will be easily resolved in future observations, and thus the emission of gravitational radiation can be indirectly measured.