Lunar Eclipse, and a Normal-Sized Mars
Tuesday, August 28th, 2007This year was my first exposure to what is apparently an annual e-mail hoax regarding Mars appearing to be as large as the Moon in the sky. Since I’m teaching an introductory astronomy course this semester it might make for a good teaching moment. One student received the e-mail from her mother, and my wife got it from a friend. Physically, Mars is about twice as large as the Moon and a whole heck of a lot further away. Rather than looking up numbers in a textbook (or wikipedia), the layperson can figure this out with simple quantitative reasoning. The Moon orbits the Earth and Mars orbits the Sun. This tells us that Mars must be much further from the Earth. Earth’s gravity keeps the Moon in orbit because it is close enough to the Earth for Earth’s gravity to be more important than the Sun’s. For Mars to appear as large as the Moon, it would need to be as close to the Earth as the Moon. The timescale for the motion of Mars is roughly a year (a martian year is about two Earth years, but we don’t need to worry about precision to a factor of two, or even a factor of ten, for this exercise). Thus, the idea that one day Mars is its normal pinpoint size and the next day it is huge contradicts the actual time it takes for Mars and the Earth to move relative to each other. On the one hand I find it discouraging that people are unfamiliar enough with the appearance of the sky to give hoaxes like this any credibility. On the other, maybe there is some value in it: if it makes someone look up at night for a few minutes, then next time they’ll know to send this and similar e-mails straight to the junk folder.
There is an astronomical event worth noting this week, however. In the early hours of Tuesday there will be a total lunar eclipse. It will be more easily visible from the western United States than the in the East. This chart gives a map of the times and how much is visible from different parts of the world. A lunar eclipse occurs when the Moon passes through the shadow of the Earth. Because the Earth has an atmosphere, the Moon does not become completely dark: sunlight is refracted through the Earth’s atmosphere causing it to be deflected and still strike the Moon. Red light is more strongly refracted than blue, so the full Moon becomes reddish in color during the eclipse. Lunar eclipses are one way that the ancients knew the Earth was round: they realized they were seeing the shadow of the Earth, and the shadow had a round edge. The only object that always casts a round shadow is a sphere. Lunar eclipses occur about every six months instead of every month because the Moon’s orbit is not in the same plane as the Earth’s orbit around the Sun, so only twice each year do the three objects roughly line up.
