For most people an overhead pass of the International Space Station (ISS) looks somewhat like a bright airliner crossing the sky. Not for Szabolcs Nagy: with his 1,200mm Dobsonian scope and 2.5x Tele Vue Powermate™ he can get up-close video of this bright streak that resolves into individual solar panels, modules, and even docked capsules!
Most amateur astronomers will ignore the full moon. The best telescopic observations can be had before and after the moon is full. For instance, when the moon is half-illuminated, at first quarter, as it waxes toward full. Along the night and day terminator line bisecting the moon are the boldly cast shadows of mountains, craters, rilles, and basins. This is where your telescopic lunar observations should begin.
About every 26-months, Earth and Mars get a good look at each other as their orbits cause them to line up together on the same side of the Sun. At the instant that Earth is between Mars and the Sun we have “Mars Opposition” — Mars is opposite the Sun in Earth’s sky. Mars is closest to Earth around this time and amateur astronomers make a point of observing it.