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The orbits of giant extrasolar planets often have surprisingly smallsemi-major axes, large eccentricities, or severe misalignments between theirnormals and their host stars' spin axes. In some formation scenarios invokingKozai-Lidov oscillations, an external planetary companion drives a planet ontoan orbit having these properties. The mutual inclinations for Kozai-Lidovoscillations can be large and have not been confirmed observationally. Here wededuce that observed eccentric warm Jupiters with eccentric giant companionshave mutual inclinations that oscillate between 35-65 deg. Our inference isbased on the pairs' observed apsidal separations, which cluster near 90 deg.The near-orthogonality of periapse directions is effected by the outercompanion's quadrupolar and octupolar potentials. These systems may beundergoing a stalled version of tidal migration that produces warm Jupitersover hot Jupiters, and provide evidence for a population of multi-planetsystems that are not flat and have been sculpted by Kozai-Lidov oscillations.

A Class of Warm Jupiters with Mutually Inclined, Apsidally Misaligned, Close Friends