How fast could a horse run on a world with half Earth's gravity?

Say we took an adult racing horse from Earth to a planet identical to Earth, but with half its gravity. Exactly how fast would it be able to run? Would the low gravity have any significant effect on the way it ran?

Note: I'm looking for an answer from someone with a background in physics, preferably with citeable sources.

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How fast could a horse run on a world with half Earth's gravity?

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