Tropical cyclones typically develop in late summer because the oceans have had several months to warm up, and the warm ocean water provides the energy needed for the cyclones to form and intensify. Warm air rises over the warm ocean water, and as it rises, it cools and condenses into clouds. The latent heat released during this process provides the energy for the storm to intensify further.
Late summer is also the time when the temperature difference between the ocean and the overlying atmosphere is greatest, creating a more unstable atmosphere that is conducive to the development of thunderstorms and tropical cyclones. Additionally, late summer is typically associated with a decrease in wind shear, which is the difference in wind speed and direction at different altitudes. When wind shear is low, it allows the storm to maintain its structure, and this can also contribute to the development and intensification of tropical cyclones.
Overall, the combination of warm ocean water, an unstable atmosphere, and low wind shear during the late summer months creates ideal conditions for the development of tropical cyclones.