ASTRONOMY 110
Spring 1999, Section 1
Class 7     1/27/99

Synchronous rotation of the Moon --- is the name for the fact that the Moon rotates on its axis in the same time it takes to revolve around the Earth, namely 1 sidereal month. Note that this is the only case of such a special association between two periods that we have seen so far. Note also that it isn't true for the Earth --- the Earth day is not equal to a month! I hinted that the Earth is a bigger body than the Moon and so has had more effect on the Moon than the Moon has had on the Earth. The Moon does have an effect on the Earth --- the tides, both in the oceans and in the body of the Earth. It is because of these tides that the Earth-Moon system is slowly changing. The Earth is slowing down (the day is getting longer) and the Moon is spiralling away from the Earth. Some calculations discover that this will go on until the Earth is also in synchronous rotation. More later when we study tides. Another observation that suggests the connection between the Earth and the Moon is eclipses.

Eclipses --- occur because the Moon's orbit round the Earth is only about 5 degrees from the ecliptic and the Moon has nearly the same angular size as the Sun in our sky --- about 0.5 degrees. (Note the obvious fact that this means that the Moon must be closer to us than the Sun is, and therefore that it must be larger than the Sun because they have the same angula size. More on angular measurement, distance and size soon.) So at New Moon a Solar eclipse is possible (Moon between Sun and Earth) and at Full Moon a Lunar eclipse can happen (Earth shadow on the Moon). Full, Annular and Partial solar eclipses occur depending on whether the Earth is in the Umbra (complete shadow zone of the Moon) or the Penumbra (partial shadow zone). During Lunar eclipse the Moon appears red from sunlight bent or diffracted through the Earth's atmosphere. Note that the Moon must be new for a solar eclipse to occur, but that such an eclipse doesn't happen every new moon because the Moon's orbit is slightly tilted to the ecliptic and the Moon has to be exactly on the ecliptic so that the Earth, Moon and Sun line up. The Moon crosses the ecliptic twice a year, and so eclipses can happen in these approximately twice-yearly "eclipse seasons". The fact that they don't repeat exactly every six months is because the Moon's orbit isn't fixed in space, it is wobbling ("precessing") (see below).

Saros Cycle --- is the period of precession of the Moon's orbit (18yr 11.3d), the time between recurrences of patterns of eclipses.

Motions of the Planets --- Mercury, Venus, Mars, Jupiter and Saturn are all visible in the night sky with the naked eye. All the planets (except Pluto) stay near the ecliptic, implying that they are all on or near the one plane in the sky, that of the Earth's orbit round the Sun. They travel round the Sun at rates different from each other and from the Earth, and so `wander' over the sky (`planets' are `wanderers'). Mercury and Venus are always seen close the Sun, just after sunset or just before sunrise, but the other planets can be in the sky at other times (i.e. far from the Sun). Mercury and Venus are called Inferior planets, the others Superior. Mercury's maximum elongation (angle from the Sun) is 28 degrees, Venus' is 47 degrees. We also defined the other configurations of the planets (or indeed anything on the sky) with relation to the Earth and Sun: opposition when something is the opposite direction in the sky from the Sun, Quadrature when it is at right angles, inferior conjunction when it is in front of the Sun, and superior conjunction when it is behind. The inferior planets can never be in opposition or quadrature; the superior planets can be in any configuration. Planets drift eastward in the sky, in general ("prograde motion") but occasionally go into "retrograde" (westerly) motion, executing loops in the sky.