The moment of mean conjunction can easily be computed from an expression for the mean ecliptical longitude of the Moon minus the mean ecliptical longitude of the Sun (Delauney parameter D). Jean Meeus gave formulae to compute this in his Astronomical Formulae for Calculators based on the ephemerides of Brown and Newcomb (ca. 1900); and in his 1st edition of Astronomical Algorithms based on the ELP2000-85 (the 2nd edition uses ELP2000-82 with improved expressions from Chapront et al. in 1998). These are now outdated: Chapront et al. (2002) published improved parameters. Also Meeus’s formula uses a fractional variable to allow computation of the four main phases, and uses a second variable for the secular terms. For the convenience of the reader, the formula given above is based on Chapront’s latest parameters and expressed with a single integer variable, and the following additional terms have been added:
Have you ever wondered what may be the purpose of the moon? Well, the moon is the shiny beacon that lights up the night as the sun lights up the day. This amber body is quite shy and doesn't always show itself, but when it does, the moon's brilliance overpowers the darkness. The surface of the moon inspires astronomers around the globe who religiously watch as our incandescent orb passes serenely through its natural cycle, but if you are an avid planet observer you will come to realise that the reflecting light from the moon through the telescope lens may interfere with your ability to clearly view even our closest planets. For this reason many planet watches believe the new moon cycle is the perfect time to catch a glimpse of another world. Makemake is about a fifth as bright as Pluto. However, despite its comparative brightness, it was not discovered until well after a number of much fainter KBOs had been detected. Most of the scientific hunts for minor planets are conducted relatively close to the region of the sky that the Sun, Earth's Moon, and planets appear to lie in (the ecliptic). This is because there is a much greater likelihood of discovering objects there. Makemake is thought to have evaded detection during earlier searches because of its relatively high orbital inclination, as well as the fact that it was at its greatest distance from the ecliptic at the time of its discovery--in the northern constellation of Coma Berenices. Earth's Moon is enchanting; bewitching. The face of the "man"--that some cultures see etched on its brilliant surface--is really composed of the dark areas of the lunar maria (Latin for "seas"), and the lighter highlands of the Moon's surface. Some cultures tell of other examples of strange images seen on the Moon's lovely disk, such as the "Moon Rabbit".