The origin of the two small prograde natural satellites of Mars may, or may not, be important in deciphering the early history of planet Mars. There have been many proposals for the origin of Phobos and Deimos but there is no generally accepted model for their origin. There is, however, substantial evidence for oblique impact of large bodies onto the surface of Mars in the retrograde (clock-wise) direction. These features suggest that a sizeable body, probably an asteroid, broke up in the vicinity of Mars and the disrupted debris, large and small, impacted along a great circle pattern on the martian surface. The proponents of this model also suggest that this orbiting retrograde satellite, before breaking apart, could have powered a martian core dynamo via tidal forces. I show the results of numerical simulations in which portions of asteroids could be gravitationally extracted from parent bodies in hyperbolic orbits passing through the weightlessness limit of Mars. The extracted bodies are then inserted into unstable orbits around Mars. These bodies eventually would impact onto the martian surface. Again, there is no consensus model for the origin of Phobos and Deimos.