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Download 2.1d-f-g Planets in the zodiac, inclined to the ecliptic
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2.1d recall that the ecliptic is the plane of the Earth’s orbit around the Sun 2.1f recall that planets move in elliptical orbits, slightly inclined to the ecliptic 2.1g demonstrate an understanding that the planets appear to move within a band called the Zodiac What happens with no tilt to the Earth’s axis CELESTIAL EQUATOR EQUATOR This is the projection of the equator up on to the sky above Picture credit : NASA Marshall Space Flight Centre (NASA-MSFC) The CELESTIAL POLES would lie directly above the Earth’s poles:CELESTIAL NORTH POLE The CELESTIAL POLES are the projection of the Earth’s poles up on to the sky above CELESTIAL SOUTH POLE Picture credit : (NASA-MSFC) What happens with no tilt to the Earth’s axis EQUATOR THE CELESTIAL EQUATOR AND THE PATH OF THE SUN WOULD APPEAR AS A STRAIGHT LINE IN THE NIGHT SKY, WITH NO TILT TO THE EARTH’S AXIS Picture credit : (NASA-MSFC) This would be the line along which the Sun would be seen to track across the stars through the year However the Earth’s axis is tilted by 23.5˚ What happens with a 23.5˚ tilt to the Earth’s axis The Sun still moves along where the equator (NOW ANGLED AT 23.5˚) used to be NORTH CELESTIAL POLE CELESTIAL EQUATOR 23.5˚ SOUTH CELESTIAL POLE THE DOTTED BLUE LINE SHOWS THE ORIGINAL LOCATION OF THE EARTH’S EQUATOR WHEN PROJECTED ON TO THE NIGHT SKY AS THE MOVEMENT OF THE SUN STILL APPEARS TO BE ABOVE THE ORIGINAL EQUATOR, THE PATH OF THE SUN IS NOW ACROSS A DIFFERENT AREA OF THE CELESTIAL SKY IN RELATION TO THE EARTH’S TILT THIS IS THE ECLIPTIC Picture credit : (NASA-MSFC) The Earth’s axis which it spins on is at an angle of 23.5˚ compared to the plane of the Earth’s orbit around the Sun. All the other planets (with the exception of Mercury which moves away from the ecliptic plane by 7˚) move along almost the same plane as they orbit the Sun in their elliptical orbits. Allowing for Mercury being either up to 7˚ above or below the ecliptic plane, all the planets move within a band of the sky (the ZODIAC) which is a little more than 14˚ wide, to allow for the motion of the moon as well. GEMINI ARIES VIRGO PISCES SAGITTARIUS ECLIPTIC ZODIAC The angle of 23.5˚ creates a ‘wave' in the path of the Sun across the celestial sphere The constellations that the Sun ‘passes through’ during a year are known as the constellations of the zodiac. The ‘Signs of the Zodiac’ date from Babylonian times and represent 12 of the constellations in the night sky found by the ecliptic (there is one other constellation – Ophiuchus which cuts across this band). The diagram below shows the sequence of the 13 constellations that the Sun passes in front of during a year. CAPRICORN AQUARIUS SAGITTARIUS OPHIUCHUS SCORPIO LIBRA VIRGO PISCES LEO ARIES TAURUS GEMINI Picture credits : (Sun) SOHO/ESA&NASA, (Earth) NASA/JSC-Apollo17 CANCER Some extra points of interest The constellations of the zodiac appear at different times to the ‘Star Signs’ due to a factor called PRECESSION – caused by the axis of the Earth having a slightly off-centre motion, like the wobble of a spinning top toy. The precession occurs over about a 26,000 year cycle, meaning that the North Star changes during this time. In about 11,000 years time, the Pole Star will become Vega, as opposed to Polaris as at present. (Synodic Periods) When viewing a planet from Earth, the period between the times their positions both lie on the same radial line from the Sun, is called the SYNODIC PERIOD. For planets closer to the Sun than the Earth, the SYNODIC PERIOD is longer than the SIDEREAL PERIOD, and for outer planets it is shorter. The period which brings the Earth back to the same angular position with respect to the Sun is called the tropical year and is 365.242 mean solar days. Formally this period is defined as the interval of time from one SPRING/VERNAL EQUINOX to the next. The sidereal period (the period with respect to the distant stars) of 365.256 mean solar days is about 20 minutes longer because of the precession of the Earth's spin axis. The precession period of about 26,000 years brings the vernal equinox about 20 minutes earlier each year. Star catalogues are written with new Right Ascension values every so often to allow for this. An atlas of the night sky is produced with a statement ‘Epoch 2,000’, meaning that the RA values are for the start of the millennium. Previous atlases have shown ‘Epoch 1950’ to show the values nearer to that year. The fact that the year is not exactly 365 days has led to the inclusion of leap year days and other adjustments to the calendar. At midnight on 4th October 1582, errors from the calendar made in Julius Caesar’s time (the Julian calendar) were corrected by Pope Gregory (the Gregorian calendar) by missing 10 days - 4th October was followed by 15th October! Many countries did not immediately follow this rule and so for many years there was a great deal of confusion. These days time is judged against an atomic clock and leap seconds are used for the ever so slowly lengthening Earth day – the rate of spin of the Earth is slowing down due to the effect of the tides.