Dog and Cat Wars

I own two wonderful pets, a dog, Henry, and a cat, Willow. Let's just say they... tolerate each other. As my dog has gotten in to his elder years (He will be 11 this August), chasing the cat (she's turning 5 in June) has become less interesting to him. I've noticed on the days he does decide it's worth it to get up and run after her, she is able to turn the corner a lot faster than he is. I figured this must be because of her lower center of mass. She can turn at a lot higher speed without her legs flying out from under her. My dog, on the other hand, takes longer to turn since he is much bigger than Willow. His age and his lack of control of his left hind leg due to an injury earlier in life also could contribute to his inability to catch up with her.