An antihydrogen gravity experiment is proposed that could be conducted at the CERN Antiproton Decelerator facility to determine the directionality of the acceleration of antihydrogen in earth's gravitational field. The experiment would consist of an antihydrogen source located in a cylindrical vacuum chamber at the common vertex of an azimuthally symmetric series of concentric detector cones. Within any region bounded by two consecutive detector cones, the antihydrogen cannot undergo linear motion and annihilate with either detector cone. However, with parabolic trajectories, such as those of objects under the influence of gravity, the antihydrogen can annihilate with a detector cone, the position of which relative to the other detector cones being an indication of the direction of the gravitational acceleration of antihydrogen. An optimization of the configuration of the experiment is performed and the probability of antihydrogen annihilating with the detector cones determined. For purposes of simplicity, the model considers the antihydrogen to be a point source at a temperature of 4 K.
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