Karen Meech Institute for Astronomy TOPS 2003

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Presentation transcript:

Karen Meech Institute for Astronomy TOPS 2003 The Celestial Sphere Karen Meech Institute for Astronomy TOPS 2003

Latitude and Longitude Latitude (f) meas from equator Longitude (l) point of reference – Greenwich UK Units of measure: Deg, arcmin, arcsec O ‘ “

The Horizon System Altitude (h) – angle measured from the horizon to Zenith (Z) Azimuth – the angle measured from NE along horizon Problem as a celestial system?

Celestial Sphere Imaginary sphere where stars reside Extension of Earth’s equator, poles Celestial Equator Celestial poles Zenith & Nadir

Great Circles Circles covering the largest diameter on sphere NCP altitude = f Celestial Meridian – CM great circle through Z and NCP Hour Angle – angular distance / time from CM HA = 0 on CM “-” indicates rising “+” indicates setting

Declination & Right Ascension Declination = Latitude Celestial Equator d = 0 Latitude, NCP elevation Units: deg, arcmin, ‘’ The Celestial Meridian Great circle going through zenith & NCP Right Ascension = Longitude Units: hh:mm:ss 360o = 24 hr (1 hr = 15o) Where to start RA?

Circles of Declination

The Ecliptic & Seasons Obliquity – tilt of Earth’s orbital axis (23.5o) Ecliptic – path of the Earth around the sun Apparent path of the sun & planets in the sky Traces a great circle on the celestial sphere Intersects at 2 points: ^ and d (vernal & autumnal equinox) ^ is visible at midnight on CM in September

The Ecliptic

Right Ascension Starting Point Longitude system: Prime Meridian Two intersections between CE & ecliptic Vernal Equinox Autumnal Equinox Units of measure: Hours, min, sec Measure Eastward from ^ (RA = 0) RA increases to E

Time Scales UT/Local – measured from noon to noon (movement of sun) Earth’s orbital motion  must rotate >360o q = 360/365.25 = 0.986o 24 : (360+ q) = sidereal : 360 Sidereal day = 23h 56m 04s Start defined when ^ is on the celestial meridian

Relation between ST and RA HA = ST – RA ST at night = RA of object on CM ^ is on the CM at midnight at d Observing tip RA = 0 on CM in Sep Advances 2 hr / mo

Airmass – Coordinate Relations Best observe @ HA = 0 Airmass – amt of atm Extinction = absorption & scattering c = sec(ZD) Spherical Trig – law of cosines cos(s1) = cos(s2)cos(s3) + sin(s2)sin(s3)cos(A1)

Effect of Airmass c = sec(z) = sin(d) sin (f) + cos(d) cos(f) cos(HA) Higher airmass = more extinction Higher airmass = more refraction Higher airmass = poorer seeing

Summary Coordinates: a, d CM – passes thru Z and NCP a increases to E Altitude of NCP = f HA = ST – a ^ is on CM at d Best obs at small HA (small c)

The Astrolabe 2-D model of csphere Greek origins: astron + lambanien Ancient laptop! Oldest about 900 BC (Hipparchus) Middle Ages Arabian astronomers

Astrolabe Functions View of night sky Position of stars Rise/set of sun, stars Altitude of object Measure time of year Measure time of night

Transparent Overlay

RA / Dec Grid

Elevation Guide

Astrolabe Exercises The Sky Tonight When an object rises or sets Sunset for 6/20/02 RA = 05:58:31 Dec = +23:26:18 04:56 UT Determine the time of year The Astrolabe timepiece