Geodesic
Estimation from above of the period of a quadratic irrationality
Matematičeskie zametki, Tome 5 (1969) no. 4, pp. 413-418.

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The following result is established: let $l$ be the length of the period of a quadratic irrationality with discriminant $D>0$; then $l\ll D^{1/2+\varepsilon}$, where $\varepsilon$ is an arbitrarily small positive quantity. 
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     title = {Estimation from above of the period of a quadratic irrationality},
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A. S. Pen; B. F. Skubenko. Estimation from above of the period of a quadratic irrationality. Matematičeskie zametki, Tome 5 (1969) no. 4, pp. 413-418. http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a2/