And do you know why the German's didn't complete the encirclement?
Citadel was divided into two separate operations. The two pincers were headed by Model and Manstein, with Manstein having all the German super-units (units with the highest concentration of firepower) and most of the armor. Model (in the North) was moving South and Manstein (in the South) was moving North.
The Soviets directed most of their attention toward the North-sector, which meant that Model was the main one engaged, and Zhukov aimed to seize Orel, which would leave Model cut off.
Manstein was not surprisingly making much better headway into the South than Model was headed North, the Soviet reserves in the South were too far back to be able to intervene effectively, and he managed to smash the Soviet defenses.
"One of the elegant things about the pincer envelopment the Germans favored was that if one jaw succeeded, it would divert pressure from the other."
So as the Soviets moved on Orel, they only became increasingly vulnerable to a sweep from the South, headed by Manstein, who had better forces, than the ones the Soviets committed the bulk of their forces against and ended up struggling against.
It was at this point that Hitler informed Manstein that the Allies had landed in Sicily and it was necessary for new armies in Italy and that they would need to come from the Eastern Front.... meaning that Operation Citadel had to be halted. Manstein objected saying that the battle was at its culmination and that to break off now would be "tantamount to throwing a victory away".
Most of that I got from http://www.amazon.com/Hitler-vs-Stalin-Eastern-1941-1945/dp/141657350X
However you might also be interested in http://www.historynet.com/battle-of-kursk-germanys-lost-victory-in-world-war-ii.htm
Also, did you have a response to the rest of my original post about the Soviet's not having the manpower reserves they claimed? Stalin forced engagements and attacks that the Soviet union was unable to sustain long term, including times where defense was the obvious strategic decision, as attacks would play to the German army's strength, rather than weakness. The Germans where not some unbeatable force, but the Red Army suffered from a lack of usable doctrine, inexperienced commanders, and false reporting - given that Stalin had a tendency to shoot the messenger-, and lack of flexibility.
(edited for grammer and such)