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A detailed model for the CTS (Communications Technology Satellite) development model solar array (DMSA) is presented, accompanied by models for the dynamics of the array in both normal-gravity and zero-gravity environments. The major objective of the mathematical derivations is the development of the gravity-associated terms in the model; this is aimed at providing a basis for comparison with the author's ground testing of the solar array. The earlier (zero-gravity) model of (Hughes-1) is extended for this purpose. Two mathematical approaches, vectorial mechanics, and variational principles, are used to derive the equations of motion for the DMSA under the influence of gravity. The equations resulting from each method are identical, providing a mutual check. A comparison is made between the predicted natural frequencies in the one-gravity and zero-gravity environments. The latter values were about 50% lower--an expected result. Experimental results from ground tests are compared with theoretically predicted natural frequencies from the gravity-included model, and the agreement is found to be within 7% for the lower modes of vibration, and within 16% overall. The theory tends to underestimate the measured values. The relative ordering of the out-of-plane and in-plane boom fundamental frequencies is also successfully predicted by the analysis. (ERA citation 03:047080)