In a later review of gravitational theories, Darwin briefly described Le Sage's theory and said he gave the theory serious consideration, but then wrote:  Poincaré  Partially based on the calculations of Darwin, an important criticism was given by Henri Poincaré in 1908. He concluded that the attraction is proportional to , where S is earth's molecular surface area, v is the velocity of the particles, and ρ is the density of the medium. Following Laplace, he argued that to maintain mass-proportionality the upper limit for S is at the most a ten-millionth of the Earth's surface. Now, drag (i.e. the resistance of the medium) is proportional to Sρv and therefore the ratio of drag to attraction is inversely proportional to Sv. To reduce drag, Poincaré calculated a lower limit for v = 24 · 1017 times the speed of light. So there are lower limits for Sv and v, and an upper limit for S and with those values one can calculate the produced heat, which is proportional to Sρv3. The calculation shows that earth's temperature would rise by 1026 degrees per second. Poincaré noticed, "that the earth could not long stand such a regime." Poincaré also analyzed some wave models (Tommasina and Lorentz), remarking that they suffered the same problems as the particle models.
In a later review of gravitational theories, Darwin briefly described Le Sage's theory and said they gave the theory serious consideration, but then wrote:
 Poincaré
 Partially based on the calculations of Darwin, an important criticism was given by Henri Poincaré in 1908. They concluded that the attraction is proportional to, where S is earth's molecular surface area, v is the velocity of the particles, and ρ is the density of the medium. Following Laplace, they argued that to maintain mass-proportionality the upper limit for S is at the most a ten-millionth of the Earth's surface. Now, drag (i.e. the resistance of the medium) is proportional to Sρv and therefore the ratio of drag to attraction is inversely proportional to Sv. To reduce drag, Poincaré calculated a lower limit for v=24 · 1017 times the speed of light. So there are lower limits for Sv and v, and an upper limit for S and with those values one can calculate the produced heat, which is proportional to Sρv3. The calculation shows that earth's temperature would rise by 1026 degrees per second. Poincaré noticed, "that the earth could not long stand such a regime." Poincaré also analyzed some wave models (Tommasina and Lorentz), remarking that they suffered the same problems as the particle models.