We develop a multichannel quantum defect formulation to describe the c
ollision of a Rydberg or continuum electron with a vibrating and rotat
ing polyatomic ion. We formulate a full rovibronic frame transformatio
n which accounts simultaneously for vibrationally and rotationally ine
lastic collisions (preionization) and l uncoupling. Interactions among
degenerate Rydberg series, arising from Jahn-Teller distortions of mo
lecular geometry, play an important role in the formulation. An applic
ation to the 1s(2)3sA1' --> 1S2epsilonpA2'', epsilonpE' Rydberg photoa
bsorption spectrum of H-3 accounts for many of its observed features.