GALACTIC STRUCTURE, SPIRAL, OBSERVATIONS BRIAN ROBINSON The bright band of the Milky Way across the sky has long suggested that we live inside a disk of stars, gas, and dust. Flat, rotating disks of stars can be seen in photographs of other galaxies. When edge-on they reveal a thin, flat, dusty disk with rotational motions of some hundreds of kilometers per second. When face-on, the young stars, ionized hydrogen regions, giant molecular clouds, and dust delineate a large-scale structure with several trailing spiral arms. Since the 1950s evidence has been accumulating that young stars and gas clouds in our galaxy have an arm-like distribution. But determining the connection of the fragments of arms into a unique spiral pattern remains a challenge. From the position of the solar system inside the disk of the Galaxy, and well out from the center, the appearance is essentially that of an edge-on galaxy and it is difficult to infer the overall structure. A further problem is the large amount of dust in the disk (as in any spiral galaxy), which attenuates starlight rapidly. Between the solar system and the galactic center blue light suffers 25 magnitudes of absorption. So, in the disk, optical tracers can only be seen at distances corresponding to about one tenth of the overall size of the Galaxy. Infrared, millimeter, and radio waves are not attenuated by the fine dust particles, and at these wavelengths measurements can be made right across the Galaxy. In the disk a line of sight will intercept several arm fragments. To determine an overall pattern, we need to be able to recognize arms at different distances and to measure those distances. Making reliable measurements of the distances is the most difficult observational problem. THE DISK OF THE GALAXY Within a radius of about 8 kpc from the center of the galaxy the dust and molecular clouds lie in a thin, flat disk, with the same ratio of thickness to diameter as a black vinyl phonograph record. The thinness of the disk is most clearly seen in the infrared observations by the Infrared Astronomical Satellite (IRAS) satellite (Fig. 1) and in observations of the 2.6-mm spectral line of carbon monoxide. The molecular disk has a thickness of 130 pc between its half-intensity points. Further than 10 kpc from the center, the disk thickness increases and its centroid deviates by up to 1.6 kpc from the plane of the inner disk. The thin disk of dust and molecules is prima facie evidence that our galaxy is a member of the class of spiral galaxies classified as Sb, Sc, or Sd. Elliptical, SO, Sa and irregular galaxies are not so flat, while E, SO, and Sa galaxies are not so dusty. , In our Galaxy the long-lived stellar populations and atomic hydrogen clouds occupy a thicker disk. In Fig. 1 the bright areas show the distribution of 12-25-** emission from older stars and their envelopes, as measured by IRAS satellite . The thin dark band is a superimposed negative of the IRAS 60- and 100-** emission from the cool dusty matter in which young, massive stars have formed. THE CENTRAL BULGE The IRAS infrared observations show that there is a central bulge to our galaxy. The bulge is clearly seen on the composite image in Fig. 1. Long-period variable stars in the bulge have also been studied at optical and radio wavelengths. The extent of the bulge is very similar to those of Sb galaxies like NGC 891 or NGC 4565. Sc galaxies have smaller nuclear bulges, while most Sa galaxies have large, amorphous central regions without dust. ASSOCIATIONS OF O AND B STARS Close to the solar system the young O and B stars in clusters or associations are the best spiral tracers. Such stars have ages of only a few million years. Their ultraviolet radiation ionizes the surrounding gas to form HII regions. The distance of an OB cluster or association is derived from known absolute magnitudes and colors of the embedded stars, and from an estimate of the intervening absorption by dust. The arm fragments near the sun derived from OB associations are shown in Fig. 4. DIFFERENTIAL GALACTIC ROTATION Spiral galaxies rotate rapidly, ensuring the stability of the flat disk. Our galaxy shows clear evidence for rotation, with rotational speeds of about 200 km s*** at and beyond the distance of the solar system from the galactic center. Velocities near 200 km s*** are Typical of Sc galaxies; Sb galaxies have rotation speeds more like 250km s***, and Sa galaxies have speeds above 300 km s**1. Atomic hydrogen (H) and carbon monoxide (CO) spectral line emission show a marked change in Doppler shift as the galactic longitude 1 increases (1 is the angle of the line of sight in the plane of the Galaxy measured from the direction of the galactic center). Figures 2 and 3 show the Doppler shifts for H and CO, respectively, as functions of 1. For gas, moving in a circle of radius R the maximum Doppler shift is observed at a galactic longitude where the line of sight is tangential to the circle. If Ro is the distance of the solar system from the center, the tangential direction has galactic longitude 1 given by sin 1*****. The Doppler shift (expressed as a radial velocity) is the vector sum of the motion of the gas at radius R and the orbital motion of the solar system at Ro. Figures 2 and 3 show a high degree of symmetry between the side of the Galaxy observed from the northern hemisphere (0๘ <1 <90๘) and that observed from the southern hemisphere (270๘ <1 <360๘). The symmetry shows that to a first approximation the gas is moving in circular orbits with the orbital angular velocity increasing closer to the galactic center, reflecting an increase of stellar density in the central regions. KINEMATIC DISTANCES The change of angular velocity with radius provides a means of measuring the normalized radius R/Ro from the radial velocity of atomic hydrogen, carbon monoxide, or recombination-line emission. This can provide a "kinematic distance" for the gas. For RRo, there is no tangent point. To a first approximation the gas is found to be moving at a constant velocity Vo=200 km s*** at all R>Ro. Then ******************************* For directions within 10๘ or so of the galactic center or anticenter the sin 1 term in Eqs. (1) or (2) crowds the loci of constant R and kinematic distances cannot be found. TANGENTIAL DIRECTIONS From the offset position of the solar system we would expect to see more spiral arm tracers when the line of sight passes along a spiral arm than when it traverses an interarm region. Observations in the radio continuum at meter wavelengths have located marked jumps in the strength of the integrated synchrotron radiation as the Galaxy is scanned in galactic longitude. The directions of these jumps define edges in the longitudinal distribution of high-energy electrons, and are identified as directions where the telescope looks lengthwise along a spiral arm. These edge directions are found at approximately 1=283๘, 310๘, 328๘, 339๘, 31๘, and 50๘. The distribution of ionized-hydrogen regions along the galactic plane, based on observations at 6-cm wavelength, shows tangential concentrations near 1=283๘, 310๘, 328๘, 24๘, 30๘, and 49๘. Carbon monoxide observations show that the warm giant molecular clouds are about five times more abundant within spiral arms than in interarm regions. (The less-massive, colder molecular clouds are distributed homogeneously throughout the zone 0.4Ro are derived from 21-cm hydrogen-line observations, using a constant-velocity rotation curve [Eq. 2)]. The straight lines radiating from the solar system are the tangential directions discussed in the previous section. From simple geometry these are perpendicular to a radius from the center at points which lie on a circle drawn through the center and the solar system. The tangential directions define a series of benchmarks to which any pattern of spiral structure must be fitted. The observations sketched in Fig. 4 can be fitted with equiangular spiral arms with pitch angles between 10๘ and 15๘. However, the overall pattern depends on how the various arm fragments are joined together, particularly between the left side (southern-hemisphere observations) and the right side (northern-hemisphere observations). Kinematic distances cannot be defined near 1=0๘ and 1=180๘, whereas noncircular motions (see next section) are comparable with or exceed the projected rotational velocities in these directions. Some authors argue for a pitch angle as small as 6๘ (like an Sa galaxy), whereas others argue for a pitch angle as large as 25๘ (like an Sc galaxy). NONCIRCULAR MOTIONS The artist's impression in Fig. 4 is based on the first approximation of circular orbits derived from the locus of maximum radial velocity in Fig. 2 and 3 (observed for RRo. Observations in certain areas reveal a variety of noncircular motions described as shocks, warps, shears, rolling motions, and streaming motions, as well as a component of random motions of the order of 8 kms s**. The magnitude of the noncircular velocities make kinematic distances uncertain and make it difficult to link features from one side of the Galaxy to the other. SUMMARY The basic observational data lead to the following picture. Our galaxy has a flat, thin disk of dust and giant molecular clouds similar to those of Sb or Sc galaxies. The disk is warped about 1๘in galactic latitude in its outer parts. Within the disk the gas, young stars, and ionized-hydrogen regions near and beyond the solar system rotate to a first approximation in circular orbits with velocities of about 200 km s**. This velocity is typical of Sc galaxies. There is a central bulge of evolved stars typical of an Sb galaxy. Spiral arm fragments are shown by various tracers, the separation between arms being about 25% of the distance from the Sun to the center. Kinematic distances based on circular orbits suggest an equiangular spiral structure with pitch angles of 10๘-15๘, like most Sc galaxies; Sb galaxies are more tightly wound. Shocks, warps, shears, and streaming motions lead to uncertainties in kinematic distances and some authors have suggested pitch angles as low as 6๘ or as large as 25๘. Additional Reading Beichman, C.A.(1987). The IRAS view of the Galaxy and the solar system. Ann. Rev. Astron. Ap. 25 521. Blitz, L.(1982). Giant molecular cloud complexes in the Galaxy. Scientific American 246 (No. 4) 84. Bok, B.J. and Bok, P.F.(1981). The Milky Way, 5th ed. Harvard University Press, Cambridge, MA. Burton, W.B.(1976). The morphology of hydrogen and of other tracers in the Galaxy. Ann. Rev. Astron. Ap. 14 275. Kerr, F.J.(1969). The large-scale distribution of hydrogen in the Galaxy. Ann. Rev. Astron. Ap. 7 39. Sandage, A.(1961). The Hubble Atlas of Galaxies. Carnegie Institution of Washington, Washington, DC. Scoville, N. and Young, J.S.(1984). Molecular clouds, star formation and galactic structure. Scientific American 250 (No. 4) 42. See also Galactic Structure, Interstellar Clouds; Galactic Structure, Large Scale; Galaxies, Spiral, Structure.