We classify Legendrian torus knots and Legendrian figure eight knots in the tight contact structure on S3 up to Legendrian isotopy. A a corollary to this we also obtain the classification of transversal torus knots and transversal figure eight knots up to transversal isotopy.
"Knots and Contact Geometry I: Torus Knots and the Figure Eight Knot." J. Symplectic Geom. 1 (1) 63 - 120, December, 2001.