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We study close approaches in hierarchical triple systems with comparablemasses using full N-body simulations, motivated by a recent model for type Iasupernovae involving direct collisions of white dwarfs (WDs). For stablehierarchical systems where the inner binary components have equal masses, weshow that the ability of the inner binary to achieve very close approaches,where the separation between the components of the inner binary reaches valueswhich are orders of magnitude smaller than the semi-major axis, can beanalytically predicted from initial conditions. The rate of close approaches isfound to be roughly linear with the mass of the tertiary. The rate increases insystems with unequal inner binaries by a marginal factor of $\lesssim 2$ formass ratios ${0.5<m_1/m_2<1}$ relevant for the inner white-dwarf binaries. Foran average tertiary mass of $\sim 0.3 M_{\odot}$ which is representative oftypical M-dwarfs, the chance for clean collisions is $\sim 1$% settingchallenging constraints on the collisional model for type Ia's.

Extreme close approaches in hierarchical triple systems with comparable masses