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Using the recently derived higher spin gravitational Compton amplitude fromlow-energy analytically continued ($a/Gm\gg1$) solutions of the Teukolskyequation for the scattering of a gravitational wave off the Kerr black hole,observables for non-radiating super-extremal Kerr binary systems at secondpost-Minkowskian (PM) order and up to sixth order in spin are computed. Therelevant 2PM amplitude is obtained from the triangle-leading singularity inconjunction with a generalization of the holomorphic classical limit formassive particles with spin oriented in generic directions. Explicit resultsfor the 2PM eikonal phase written for both Covariant and Canonical spinsupplementary conditions -- CovSSC and CanSSC respectively -- as well as the2PM linear impulses and individual spin kicks in the CanSSC are presented. Theobservables reported in this letter are expressed in terms of generic contactdeformations of the gravitational Compton amplitude, which can then bespecialized to Teukolsky solutions. In the latter case, the resulting 2PMobservables break the newly proposed spin-shift symmetry of the 2PM amplitudestarting at the fifth order in spin. Aligned spin checks as well as the highenergy behavior of the computed observables are discussed.

Dynamics for Super-Extremal Kerr Binary Systems at ${\cal O}(G^2)$