Our Place Our Place in in the the Cosmos Cosmos further south - PDF document

Clarification • Sun rises and sets due east and due west respectively on the equinoxes • At our latitude, sun rises and sets Our Place Our Place in in the the Cosmos Cosmos further south in the winter, further north in the summer Lecture 5 • Direction of sunrise changes by about 80 Phases of the Moon and Eclipses degrees through the year: 40 degrees south of due east at midwinter, 40 degrees north of due east at midsummer Orbit of the Moon • The Moon orbits the Earth in a counterclockwise direction as viewed from Earth’s North Pole taking one sidereal month to complete an orbit • The Moon also rotates once on its axis each orbit so that the same face of the Moon is always seen from Earth • This is known as synchronous rotation and is a consequence of tidal effects Phases of the Moon • The Moon is illuminated by reflected Sunlight, and the changing phases of the Moon are due what fraction of the Moon’s illuminated surface can be seen from Earth Sun • A new Moon lies between us and the Sun - its unilluminated side is towards us and crosses the meridian at midday • A full Moon lies in the opposite direction to the Sun - its illuminated side faces us and crosses the meridian midnight

Phases of the Moon Period of the Moon • The Moon takes 27.32 days to complete • Between new and full, the Moon is waxing (“growing in size and brilliance”) one orbit about the Earth - its sidereal • By first quarter (a quarter of its orbit is period completed) half of the visible Moon is • However, Earth has completed about illuminated and crosses the meridian near 1/12 of its orbit about the Sun in this sunset - an evening moon is thus waxing time and so the phase of the Moon is • After full, the Moon is waning not the same after one sidereal period • By third quarter the other half of the Moon • It takes 29.53 days between one full is illuminated and crosses the meridian around sunrise - a morning Moon is thus waning Moon and the next - its synodic period Eclipses Sidereal versus synodic period • Solar eclipse - Earth passes through Moon’s shadow • Lunar eclipse - Moon passes through Earth’s shadow • A shadow has two parts • Umbra total shadow • Penumbra partial shadow • Type of eclipse depends where in the shadow the Earth or Moon lies Animation Solar Eclipse Types of Solar Eclipse • Total no part of the Sun is visible • Partial only side of the Sun is visible • Annular central part of the Sun is blocked but outer ring is visible • We can get both total and annular eclipses since: • Sun and Moon have very similar angular size • Moon’s orbit is not perfectly circular • When Moon is further away it appears smaller and blocks only central part of Sun � annular eclipse

Partial v Total 2001 total solar eclipse • Moon’s penumbra covers large area on Earth, so partial eclipses are quite common • Umbra is at most 269 km wide and so a total eclipse is a rare event 1999 annular solar eclipse • NB a total eclipse at one location may appear as a partial eclipse at another • A total solar eclipse lasts for a maximum of 7.5 minutes, usually significantly shorter Lunar Eclipse • Because Earth’s shadow is much larger than Moon’s, lunar eclipses are both more common and longer-lived (up to 1 h 40 m ) than solar • No annular lunar eclipses, only total or partial • Even during a total eclipse, Moon glows with a reddish appearance due to refraction of Sunlight by Earth’s atmosphere • Moon appears red as blue light is scattered by dust - same reason Sunset looks red When do Eclipses Occur? • If Sun, Earth and Moon lay in exactly the same plane: • Moon would pass exactly between Sun and Earth every New Moon � solar eclipse • Earth would pass exactly between Sun and Moon every Full Moon � lunar eclipse • In fact Moon’s orbital plane is inclined by 5.2° relative to Earth’s orbit around Sun and so Sun-Earth-Moon are rarely co-linear

Eclipses are only possible when line of nodes Eclipse Season points close to the Sun (eclipse season) • Eclipse Season is not exactly every 6 months due to precession of the Moon’s orbit • Its orientation rotates once every 18.6 years opposite in direction to its orbit • Eclipse seasons occur about every 5 months and 20 days Line of nodes: intersection of two orbital planes Summary Homework • Moon rotates as it orbits Earth such that we • Identify a work of art, literature or always see the same face (tidal locking) music that is influenced by the Moon or • Moon’s phases due to how much of illuminated stars surface is visible from Earth • In what ways is the depiction scientifically • Solar eclipse when Moon casts a shadow on accurate? the Earth • In what ways is “artistic licence” taken? • Lunar eclipse when Earth casts a shadow on • Start thinking about topics for your talk the Moon and essay later this term (they can be • Eclipse season only twice per year due to the same) inclination of Moon’s orbit to the ecliptic