In 1969, Levine defined a surjective homomorphism from the knot concordance group to the algebraic concordance group. In 1975, Casson and Gordon defined a new invariant that could be used to show that Levine's homomorphism has a nontrivial kernel. In this talk, I will show how Litherland's work on the behavior of Casson-Gordon invariants under satellite constructions can be used to construct elements in the kernel of Levine's homomorphism.