Bringing down Phobos
The moon Phobos is a potential threat for future Mars colonists. With the currently thin Mars atmosphere, the orbit of Phobos will be safe for several million years, but what if a human colony starts some terraforming some day, which increases the density and height of the atmosphere substantially, possibly causing air friction on Phobos? Therefore, a first step to prepare Mars for colonization can be the Bring down of Phobos.
Collision with an asteroid
With a small amount of fuel it might be possible to accelerate a small object from the asteroid belt toward Mars. The trajectory is controlled by maneuvering rockets during the journey. It ends in a collision with Phobos in an appropriate angle in order to reduce orbital speed of Phobos, which finally results in crashing Phobos onto the surface of Mars.
Results
First of all the potential threat is over. A future colony does no longer have to fear a falling moon and can thrive.
The technology of crashing an asteroid in a potentially dangerous cosmic body may be useful for repelling threat from earth, as well. The knowledge from this Phobos project is valuable far beyond the Mars colonization.
The crash has a global impact on the Mars atmosphere and climate. Dust that is evaporated into the atmosphere temporarily reduces the sunlight on the surface. On the other side a huge amount of water steam causes a greenhouse effect in medium-term, which will increase the planet's temperature in a couple of years.