In theory, there are a few ways the moon could influence animals, including horses.
Light levels
A full moon significantly increases night-time illumination, sometimes up to 200 times brighter than a moonless night. This can alter sleeping patterns and visibility for prey and predators. Horses, as prey animals, are instinctively alert to light and movement, so brighter nights could make them more vigilant, reactive or restless.
Circadian rhythms
Just as daylight affects melatonin and other hormones regulating sleep and activity, some studies suggest that moonlight and lunar cycles can subtly influence circadian rhythms in animals. While research in horses is limited, findings in other species, such as marine life and birds, show measurable hormonal and behavioural shifts linked to the moon’s phases.
Gravitational effects
Some people attribute behavioural changes to the moon’s gravitational pull, which causes tides. However, most scientists agree this is unlikely to affect land animals, as the forces on individual bodies are negligible.