Yesterday I wondered why nobody seemed to be interested in terrestrial science anymore. No entries in three-four days. But today so many new treads in my absence. I guess I'm the thread killer here.
Many interesting suggestions here, pretty well covering the scholar views about tides regression of the moon, etc. http://www.carleton.ca/~tpatters/teaching/climatechange/rocks/rocks1a.html another interesting link - with sub pages. However, Nereid hinted that there may be more to it than tides alone.
I propose that the
precession of the equinoxes may be the main responsible vector for the Earth slowing down. After all, angular momentum is a vector with a direction. The interaction of Sun Moon gravity with the equatorial bulge causes this vector to point in a totally different direction (46 degrees) after half a period of 13,000 years. The forces only act on the equatorial bulge and hence on the lithosphere-mantle but not on the liquid outer core. This requires transfer of forces and changing speed of masses in the core-mantle boundary region, causing friction, slowing down the spinning and heating up the interior of the planet.
About Mars I'm sorry but I haven't looked into that yet. The same forces act on Mars but in different strenghts. There have been hints that http://www.jpl.nasa.gov/releases/2003/32.cfm but only by virtue of the existence of an equatorial bulge. That evidence seems a bit light to me.
On the other hand, looking at the possible processes that makes planet spin, like contraction of a dust cloud to a solid mass whilst maintaining angular momentum, then the initial spinning rate of Mars should have been considerable less than the Earth and it's slowing down would be orders of magnitudes less than Earth. It's present period of 24,15 hrs may just be another of the many coincidences.