The slingshot effect allows space probes to gain speed by utilizing the gravitational pull of a planet, with the extra energy coming from the planet itself. This energy transfer is negligible due to the vast difference in mass between the planet and the probe, similar to how a butterfly's flight has an imperceptible effect on Earth's rotation. As the probe enters the planet's gravitational well, it is accelerated by the planet's orbital motion, which contributes to its increased velocity upon exit. While the probe gains speed, it can also lose speed under specific conditions during the flyby. Overall, the slingshot effect adheres to the laws of thermodynamics, as the energy exchange is balanced and mathematically consistent.