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Solar system Centaurs originate in transneptunian space from where planetorbit crossing events inject their orbits inside the giant planets' domain.Here, we examine this injection process in the three-body problem by studyingthe orbital evolution of transneptunian asteroids located at Neptune'scollision singularity as a function of the Tisserand invariant, T. Twoinjection modes are found, one for T>0.1, or equivalently prograde inclinationsfar from the planet, where unstable motion dominates injection, and another forT<= 0.1, or equivalently polar and retrograde inclinations far from the planet,where stable motion dominates injection. The injection modes are independent ofthe initial semi-major axis and the dynamical time at the collisionsingularity. The simulations uncovered a region in the polar corridor where thedynamical time exceeds the solar system's age suggesting the possibility oflong-lived primordial polar transneptunian reservoirs that supply Centaurs tothe giant planets' domain.

Orbit injection of planet-crossing asteroids