Seeing the Martian moons, Deimos and Phobos, with $60 binoculars is highly unlikely due to their small size and close orbit to Mars. Even large telescopes struggle to capture them, although long CCD exposures might reveal Deimos in images. The law of diffraction limits visibility based on optics diameter, making it difficult to observe these moons. Some enthusiasts have attempted creative methods, like using an occulting bar to block Mars and enhance visibility, but results vary. Overall, while the Jovian moons are more impressive and accessible, the Martian moons remain elusive for amateur astronomers.