by Donald Pelletier » Tue Jan 13, 2009 4:45 pm
One of my student tell me that the phrase "about 30 percent larger in area" is incorrect. It's not. He forget to read AREA!
At perigee, the distance between the moon and the earth is 363 300 km, for an angle of 0,55°. At apogee, the distance is 405 500 km, for an angle of 0,49°. The variation is equal to 0,06°, about 12% for the diameter. The area of the moon is than (1,12) x (1,12) = 1,25 greater at perigee. So,the variation is about 25%.
One of my student tell me that the phrase "about 30 percent larger in area" is incorrect. It's not. He forget to read AREA!
At perigee, the distance between the moon and the earth is 363 300 km, for an angle of 0,55°. At apogee, the distance is 405 500 km, for an angle of 0,49°. The variation is equal to 0,06°, about 12% for the diameter. The area of the moon is than (1,12) x (1,12) = 1,25 greater at perigee. So,the variation is about 25%.