Galaxy Spectra • Galaxy spectra – – – – Continuum Absorption Lines Emission Lines Typical Spectra • Elliptical • Spiral • Irregular • Galaxy motion – – – – Radial velocity Redshift Redshift à distance Peculiar velocities • Galaxy inclination • Gas, dust and stars Continuum • The combina,on of many Black-‐Body spectra spanning a range in temperatures • This produces a fairly flat overall spectrum I Blue λ • The main feature is the 4000A-‐break Red The 4000A-break • Caused by: – blanket absorp,on of high energy radia,on from metals in the stellar atmospheres – the lack of hot blue stars • Hence: – Ellip,cals => A strong 4000A-‐Break – Spirals => A weak 4000A-‐Break – Irregulars => No 4000A-‐Break Absorption Lines • Mainly caused by Atoms/Molecules in a star’s atmosphere that absorb specific wavelengths ATOMS RADIATION ATMOSPHERE CORE • Can also be due to COLD gas in the interstellar medium which can EXTRACT energy from the passing radia,on Emission Lines • Caused by gas being ionized and heated and then re-‐radia,ng at specific allowed wavelengths Stellar spectrum Emission lines GAS • Stars form from gas so are oSen embedded • Young stars ionise gas which releases radia,on at a specific wavelength as it recombines M101 Emission nebulae (HII regions) in spiral arms Absorption / Emission Lines • Absorp,on Lines – Need metals in stellar atmospheres or cold gas in the interstellar medium • Implies – Old stellar popula,on = old galaxy • From – Ellip,cals – Spiral Bulges • Emission Lines – Need very hot gas and O and B type stars • Implies – Newly formed stars = star-‐ forming/young galaxy • From – Spiral Disks – Irregulars Typical Spectral features • Absorp,on – – – – – Ca(H) = 3933.7A Ca(K) = 3968.5A G-‐band = 4304.4A Mg = 5175.3A Na = 5894.0 A • Emission – – – – – – – – [OII] = 3727.3A Hδ = 4102.8A Hγ = 4340.0A Hβ = 4861.3A [OIII] = 4959.0A [OIII] = 5006.8A Hα = 6562.8A S2 = 6716.0A Example Spectrum: Elliptical Strong 4000A-Break Mg G-Band CaH&K Na S2 Strong absorp6on lines due to metals in the stellar atmospheres of a mostly low luminosity stellar popula6on. No evidence of any emission lines and hence no young stars and no gas Example Spectrum: Spiral Some emission and some absorp6on indica6ng both a young and old stellar popula6on. Hα [OIII] Hβ S2 [OII] Mg 4000A-Break CaH&K Example Spectrum: Irregular A strong emission-‐line spectrum indica6ng many hot young stars hea6ng the gas which is re-‐radia6ng at specific wavelengths which depend on the chemical composi6on of the gas Hα [OIII] [OII] Hβ No 4000A-Break S2 Radial Velocities • Most galaxy spectra are REDSHIFTED, which means their spectral features are offset compared to those measured for gasses in the lab • i.e., characteris,c combina,ons of lines are systema,cally offset to longer wavelengths • This is interpreted as a DOPPLER shiS and implies that galaxies are moving away • Posi,ve veloci,es: RECEEDING • Nega,ve veloci,es: APPROACHING !" !v = " c or !OBSERVED v+c = !CALIBRATION c Example Radial Velocity Hα OII OII is at 4000A v = c( Hα is at 7030A "OBS ! "CAL 4000 ! 3727 467 ) = c( ) = 21,974km/s v = c( ) = 21,500km/s "CAL 3727 6563 GALAXY IS MOVING AWAY AT ABOUT 21,750 km/s v d= Ho Reminder: Cepheid P-‐L rela,on • • • • • • Well studied stellar objects Very bright (Mv ~ -2) Pulsate regularly (~ few days) Pulsation period depends on luminosity P-L relation calibrated to 220 stars via Hipparcos parallax distances (1997) Measuring the pulsation and apparent magnitude for a distant Cepheid provides a direct distance measurement given a known P-L relation. RedshiS • We now know the Universe is expanding (see later lectures) • An expansion implies a stretching of space-‐,me. • The more space-‐,me there is between you and an object the faster it will appear to be moving away. • It is the expansion which causes a galaxy’s spectrum to be REDSHIFTED: STATIONARY: DOPPLER SHIFT: REDSHIFT: REDSHIFT IS NOT THE SAME AS DOPPLER SHIFT RedshiS • A useful parameter for cosmology is the redshiS: ! # !o "! z= = !o !o • This is analogous to the defini,on of Doppler shiS such that: from which follows: v z! c zc d= Ho Hubble constant • Although this is the wrong interpreta,on of redshiS it is a good approxima,on for low-‐z (z < 0.1) • Hubble constant = rate of expansion in units of (km/s)/Mpc – Current value ~75 km/s/Mpc Calcula,ng distances • Using Hubble’s Law (which we’ll discuss more later) we can easily es,mate distances from a galaxy s measured redshiS. e.g., If H0 = 75 km/s/Mpc and the redshiS is measured to be 0.1 what is its distance ? zc 0.1! 3 !105 d= = = 400 Mpc Ho 75 This implies that for example its [OII] line, normally at 3727A, occurred at 4100A Peculiar Veloci,es • Gravita,onal aprac,on between galaxies and larger objects (clusters, groups, superclusters, filaments) • Velocity we measure is not just the expansion of the universe VRADIAL = VRECESSIONAL ± VPECULIAR • For example the MW is falling into Virgo which in turn is falling into The Great Apractor. • If we know a galaxy’s peculiar velocity we can correct for this addi<onal velocity component. Peculiar Veloci,es • What we measure from spectra: VRADIAL or VLINE OF SIGHT VRECESSION VINFALL VIRGO • Objects velocity w.r.t. our surroundings: VPECULIAR or VINFALL • Velocity due to expansion: VBULK VBULK VRECESSION or VEXPANSION VRADIAL = VRECESSIONAL ± VPECULIAR THE GREAT ATTRACTOR Example • The MW is falling towards Coma at Vinfall =1000km/s. • Distance is 50 Mpc (from Cepheids) • If the redshiS, z = 0.01, what is H0 ? VRADIAL VRECESSION ! VINFALL z= = c c VRECESSION cz + VINFALL 3000 + 1000 Ho = = = d d 50 H o = 80km / s / Mpc Note: Be very careful with the sign of VINFALL & VPECULIAR, it is intui,ve Typically VINFALL is subtracted but for VPECULIAR it will depend on the direc,on of the peculiar velocity (towards us= -‐ve, away= +ve) Galaxy Inclination FACE-ON EDGE-ON o Inclination=0 o Inclination=90 b=Minor Axis Majority of galaxies are somewhere in between a=Major Axis Calculating the Inclination • Assuming galaxies are circular: • Inclina,on, i, is given by: b cos(i ) = a b i o • a=b, i=0 o • b=0, i=90 NB: a is always measurable a Line of sight velocity • When we measure the rota,onal velocity from a spectral line we need to correct for inclina,on. i Line of sight Velocity=Vobs Hence if, i=90 , Vobs = Vrot i=0 , Vobs = 0 b i a VROT VOBS = sin(i ) Vobs Example A long slit spectrum aligned along a galaxy s major axis indicates a varia,on in the [OII] line of 5A, The midpoint of the [OII] line is observed to be at 3900A and the major-‐to-‐minor axis ra,o is 3. What is the rota,onal velocity of the outermost stars ? i = cos !1 (1 / 3) = 70.50 Note: 5/2 A "# 2.5 c= ! 3 !105 = 192km / s # 3900 V = OBS = 204km / s sin(i ) VOBS = VROT Note: λ=3900 and not 3727 (as reference is to the galaxy centre) Stars, Dust and Gas in Galaxies • Dust mass is negligible but can block up to 90% of the light and provides a good indica,on of where the fresh stars are • Stars form from gas in galaxy • In the high-‐density regions the gas is converted into Stars – Elliptical: very little gas content – ~ all gas converted into stars => M HI = 0.01" 0.1 MSTARS – Spiral: some gas content – most gas converted => – Irregular: lots of gas – little gas converted => M HI = 0.1"1.0 MSTARS M HI # 1.0 MSTARS Warm dust and starlight in Antenae galaxy NGC1512 Op,cal and radio image of NGC891 Distribution of Gas and Stars M82 M81 NGC 3077 STARLIGHT GAS (HI)
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