Mass and Spin of GRS 1915 $+$ 105 Based on a Resonance Model of QPOs

We demonstrate that the four high-frequency QPOs observed in GRS 1915$+$105 can be interpreted as the oscillation modes on disks that non-linearly and resonantly interact with a warp. The warp is assumed to be a low-frequency global pattern on the disk. This identification suggests that the relevant mass, $M$, and spin parameter, $a$, are $M=13 \hbox{--} 14 \,{{{M}_{\odot}}}$ and $a=0 \hbox{--} 0.15$.

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