Companion Knot

Let $K_1$ be a knot inside a Torus. Now knot the Torus in the shape of a second knot (called the companion knot) $K_2$. Then the new knot resulting from $K_1$ is called the Satellite Knot $K_3$.

References

Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, pp. 115-118, 1994.