A k-sun graph S(Ck) is obtained from the cycle of length k, Ck, by adding a pendant edge to each vertex of Ck. A k-sun system of order v is a decomposition of the complete graph Kv into k-sun graphs. In this paper, we use a difference method to obtain k-sun systems of all possible orders for k=6,10,14 and 2t where t is a positive integer at least 2. More precisely, we obtain cyclic k-sun systems of odd order and 1-rotational k-sun systems of even order when the order is greater than 4k.
