Satellite tugs

But there is a downside to Dawn's swing past Mars. Just as the probe nabbed a speed boost from the planet, the encounter slowed Mars by a tiny fraction, mission managers said.  "The flyby will cause Mars to slow in its orbit enough that after one year, its position will be off by about the width of an atom. If you add that up, it will take about 180 million years for Mars to be out of position by one inch (2.5 cm)," Rayman said. "We appreciate Mars making that sacrifice so Dawn can conduct its exciting mission of discovery in the asteroid belt."

If one measley probe can tug at Mars, what about all those satellites around earth??  If earth's orbit shifts, the tides man, oh, the tides...