And obviously, this has been tried.
Seriously, there are lots of both single and dual-axis trackers. Note that single-axis trackers still have this issue, and that skewing them westward can make a difference in late afternoon power production. (BTW, this isn't a huge difference, and of course, it's not free - you're just trading off power in the morning for power in the late afternoon, which is itself offset somewhat by the fact that the panels are considerably more efficient in the cooler ambient air of the morning. (To a first-order approximation, the voltage output of PV panels is almost entirely an inverse function of temperature, and output current is almost entirely a function of irradiance (incoming sunlight) - so the best solar power days are cold and clear. Heat absolutely slays PV power production. This is one of the most important "physics things" to understand about solar PV.)
Unless you're someplace where real estate is really expensive, trackers don't even pay for themselves. Given the increasing efficiencies of the panels themselves over the past few years, you're far better off just throwing in more panels and avoiding the maintenance headaches associated with the trackers. (As they are mechanical devices and need to be built as cheaply as possible since no one makes any money in solar without subsidies, trackers are BY FAR the most and trouble-prone and expensive part of an array from a maintenance perspective.)
As the guy who led the development of the most advanced utility-scale solar array monitoring system on the market, I can tell you that pretty much every site that has trackers wishes they'd either added more panels or just settled for less output. The exceptions are usually sites where economics are not a factor - "green cred" showplaces and the like - and there are a lot more of those than you might think...
In reality, the optimum angle to face the panels is driven by several competing concerns, including relative time-of-day pricing, which of course can vary after you build the array, so it's not entirely safe to use as a design criterion. In MOST cases, the optimum is around 20 degrees West of South. If you need to optimize for peak power, just do that (or something close to it) and call it a day. Anything else is over-analyzing and probably not really beneficial.
Also, keep in mind that you're already losing a fair amount of power by having the panels at the wrong (usually too shallow) elevation - almost all real-world solar installations tilt the panels at only 15-20 degrees off horizontal, which means that in latitudes higher than those numbers, you're losing power since the panels aren't pointing directly at the sun anyway (Here in Austin, for instance, that means you're at least 10 degrees off optimum all day, every day.) This is a very deliberate and conscious design decision made simply because the cost and strength required (and weight, if roof-mounted) to survive likely wind loading at higher angles is generally prohibitive.
BTW, acting as though this is some great discovery is as bogus as hell - Common array design practice is to orient due South, which is clearly suboptimal, but one of only dozens of really stupid conventional design practices in solar - tha most idiotic probably being grounding the negative leg of the DC side, thus turning all your wiring into a sacrificial anode. It's not like the telco guys didn't figure this out well over a century ago - there's a reason your phone line is at -48 Volts! I've seen lots of arrays only a few years old that are headed for having the panels connected by hollow straws. Having to replace any sizeable fraction of that wiring (esp. at the current price of copper) will ensure that the entire solar plant can NEVER break even. Break-even usually takes over 20 years best-case, and the panels only last 25-30 years, if they're not the cheap Chnese junk everyone's using now. Most solar PV plants being put in now could well be both dollar and energy negative over their entire life. (Do a Google search for Wassermann and EROEI for some of the latest and best figures).