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The Cosmic Distance Scale

Published online by Cambridge University Press:  19 July 2016

G.A. Tammann
G.A. Tammann*
Affiliation:
Astronomisches Institut der Universitaet Basel, European Southern Observatory, Garching

Abstract

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The zero-point of the extragalactic distance scale, defined by about two dozens of nearby, late-type galaxies, has remained nearly unchanged for the last decade, in spite of the advent of new techniques and great efforts. The distances are essentially tied to trigonometric parallax stars and hence independent of the Hyades modulus; they are consistent with RR Lyr stars. The mean zero-point is therefore probably secure to better than 10%.

All known secondary distance indicators are still affected by zero-point errors, by problems in the definition of their relation between distance indicator and absolute magnitude (or linear size), and/or by selection bias. The effect of the very important selection bias (Malmquist effect), which causes a seemingly non-linear expansion field, is illustrated by two examples. To test for any true deviations from a linear expansion the Hubble diagram of nearly bias-free first-ranked cluster galaxies and supernovae Ia is shown; this imposes stringent limits on any non-linearity of the Hubble flow within v<5000 km s−1.

After freeing the available distances of field galaxies from selection bias and after reducing them to a common zero-point, one finds HO=55–65. Several distance indicators require a best Virgo cluster modulus of (m-M)=31.60, which implies for the Coma cluster (m-M)=35.38 and, with v(Coma)=7217 km s−1, HO=60. Supernovae Ia and first-ranked cluster galaxies out to large distances give HO (global)=53. Thus the evidence from clusters and field galaxies is best satisfied by HO=55; the assigned mean error of ±7 is to indicate a 3σ range of 35<HO<75.

Purely physical methods to determine extragalactic distances have modest weight yet; they will contribute eventually much to the determination of HO.

If HO were as large as 100, several paradoxa would arise. The Milky Way would have a very high supernova frequency, our Galaxy and M31 would be oversized, the baryon density would fall short to bind clusters, and Friedman universes were excluded.

Because all systematic errors have conspired and probably still conspire to measure HO too high, the true value could well be 40. Until new, decisive evidence becomes available, it is suggested for all practical purposes to use HO=50.

Type
Chapter III. The Classical Quantities of Cosmology
Information
Symposium - International Astronomical Union , Volume 124: Observational Cosmology , 1987 , pp. 151 - 185
Copyright
Copyright © Reidel 1987 

References

Aaronson, M., Bothun, G., Mould, J., Huchra, J., Schommer, R.A., and Cornell, M.E. 1986, Ap. J. 302, 536.CrossRefGoogle Scholar
Aaronson, M., Huchra, J., and Mould, J. 1979, Ap. J. 229, 1.CrossRefGoogle Scholar
Aaronson, M., Huchra, J., Mould, J.R., Tully, R.B., Fisher, J.R., van Woerden, H., Goss, W.M., Chamaraux, P., Mebold, U., Siegman, B., Berriman, G., and Persson, S.E. 1982, Ap. J. Suppl. 50, 241.CrossRefGoogle Scholar
Aaronson, M., Huchra, J., Mould, J., Schechter, P.L., and Tully, R.B. 1982a, Ap. J. 258, 64.CrossRefGoogle Scholar
Aaronson, M., and Mould, J. 1986, Ap. J. 303, 1.CrossRefGoogle Scholar
Andersen, J., Blecha, A., and Walker, M.F. 1985, Astron. Astrophys. Letters 150, L12.Google Scholar
Arnett, W.D., Branch, D., and Wheeler, J.C. 1985, Nature 314, 337.CrossRefGoogle Scholar
Baade, W. 1952, Trans. I.A.U. 8, 398.Google Scholar
Baade, W., and Swope, H.H. 1963, Astron. J. 68, 435.CrossRefGoogle Scholar
Barnes, T.G., and Hawley, S.L. 1986, Ap. J. Letters 307, L9.CrossRefGoogle Scholar
Bartel, N., Rogers, A.E.E., Shapiro, I.I., Gorenstein, M.V., Gwinn, C.R., Marcaide, J.M., and Weiler, K.W. 1985, Nature 318, 25.CrossRefGoogle Scholar
Binggeli, B., Sandage, A., and Tammann, G.A. 1987, A.J., in press.Google Scholar
Binggeli, B., Sandage, A., and Tarenghi, M. 1984, A.J. 89, 64.CrossRefGoogle Scholar
Birkinshaw, M. 1987, this volume.Google Scholar
Bottinelli, L., Fouqué, P., Gouguenheim, L., Paturel, G., and Teerikorpi, P. 1986, in: Galaxy Distances and Deviations from Universal Expansion, eds. Madore, B.F. and Tully, R.B., Dordrecht: Reidel, p. 73.CrossRefGoogle Scholar
Bottinelli, L., Gouguenheim, L., Paturel, G., and de Vaucouleurs, G. 1985, Ap. J. Suppl. 59, 293.CrossRefGoogle Scholar
Bottinelli, L., Gouguenheim, L., Paturel, G., and Teerikorpi, P. 1986, Astron. Astrophys. 156, 157; 166, 393.Google Scholar
Branch, D. 1985, in: Supernovae as Distance Indicators, ed. Bartel, N., Berlin: Springer, p. 138.CrossRefGoogle Scholar
Branch, D., Falk, S.W., McCall, M.H., Rybski, P., Uomoto, A.K., and Wills, B.J. 1981, Ap. J. 244, 780.CrossRefGoogle Scholar
Branch, D., Lacy, C.H., McCall, M.L., Sutherland, P.G., Uomoto, A., Wheeler, J.C., and Wills, B.J. 1983, 270, 123.Google Scholar
Brodbeck, K. 1986, in preparation.Google Scholar
Burstein, D., Davies, R.L., Dressler, A., Faber, S.M., Lynden-Bell, D., Terlevich, R., and Wegner, G. 1986, in: Galaxy Distances and Deviations from Universal Expansion, eds. Madore, B.F. and Tully, R.B., Dordrecht: Reidel, p. 123.CrossRefGoogle Scholar
Cadonau, R. 1986, , Univ. Basel.Google Scholar
Cadonau, R., Sandage, A., and Tammann, G.A. 1985, in: Supernovae as Distance Indicators, ed. Bartel, N., Berlin: Springer, p.151.CrossRefGoogle Scholar
Caldwell, J.A.R., and Coulson, I.M. 1985, Mon. Not. R. astr. Soc. 212, 879; 214, 639.CrossRefGoogle Scholar
Cameron, M.L. 1985a, Astron. Astrophys. 147, 39.Google Scholar
Cameron, M.L. 1985b, Astron. Astrophys. 152, 250.Google Scholar
Carney, B.W. 1980, Ap. J. Suppl. 42, 481.CrossRefGoogle Scholar
Chevalier, R.A., and Fransson, C. 1985, in: Supernovae as Distance Indicators, ed. Bartel, N., Berlin: Springer, p.1231.Google Scholar
Chiosi, C., and Pigatto, L. 1986, Ap. J. 308, 1.CrossRefGoogle Scholar
Cohen, J.G. 1985, Ap. J. 292, 90.CrossRefGoogle Scholar
Conti, P.S., and Garmanay, C.D. 1986, Astron. J. 92, 48.CrossRefGoogle Scholar
Cook, K.H., Aaronson, M., and Illingworth, G. 1986, Ap. J. Letters 301, L45.CrossRefGoogle Scholar
Crampton, D. 1979, Ap. J. 230, 717.CrossRefGoogle Scholar
de Vaucouleurs, G. 1970, Ap. J. 159, 435.CrossRefGoogle Scholar
de Vaucouleurs, G. 1975, in: Galaxies and the Universe, eds. Sandage, A. and Sandage, M. and Kristian, J., Chicago: University of Chicago Press, p.5571.Google Scholar
de Vaucouleurs, G. 1978, Ap. J. 223, 730.CrossRefGoogle Scholar
de Vaucouleurs, G. 1979, Ap. J. 227, 380.CrossRefGoogle Scholar
de Vaucouleurs, G., and Corwin, H.G. 1986, Ap. J. 308, 487.CrossRefGoogle Scholar
Djorgovski, S., and Davis, M. 1986, in: Galaxy Distances and Deviations from Universal Expansion, eds. Madore, B.F. and Tully, R.B., Dordrecht: Reidel, p.1351.Google Scholar
Dressler, A. 1984, Ap. J. 281, 512.CrossRefGoogle Scholar
Dressler, A. 1986, preprint.Google Scholar
Eggen, O.J. 1977, Ap. J. Suppl. 34, 1.CrossRefGoogle Scholar
Faber, S.M., and Jackson, R. 1976, Ap. J. 204, 668.CrossRefGoogle Scholar
Feast, M.W. 1984, Mon. Not. R. astr. Soc. 211, 51P.CrossRefGoogle Scholar
Feast, M.W. 1986, in: Galaxy Distances and Deviations from Universal Expansion, eds. Madore, B.F. and Tully, R.B., Dordrecht: Reidel, p. 7.CrossRefGoogle Scholar
Freedman, W.L. 1986, in: Galaxy Distances and Deviations from Universal Expansion, eds. Madore, B.F. and Tully, R.B., Dordrecht: Reidel, p.211.Google Scholar
Gautschy, A. 1986, preprint.Google Scholar
Genzel, R., Reid, M.J., Moran, M., and Downes, D. 1981, Ap. J. 244, 884.CrossRefGoogle Scholar
Giraud, E. 1985, Astron. Astrophys. 153, 125.Google Scholar
Giraud, E. 1986, ESO Preprint No. 473.Google Scholar
Graham, J.A. 1975, Pub. A.S.P. 87, 641.CrossRefGoogle Scholar
Graham, J.A. 1982, Ap. J. 252, 474.CrossRefGoogle Scholar
Graham, J.A. 1984, Astron. J. 89, 1332.CrossRefGoogle Scholar
Holmberg, E. 1958, Medd. Lund Obs., Ser. 2, No. 136, p. 102.Google Scholar
Hubble, E. 1929, Proc. Nat. Acad. Sci. 15, 168.CrossRefGoogle Scholar
Hubble, E. 1936, Ap. J. 84, 270.CrossRefGoogle Scholar
Humphreys, R.M., and Strom, S.E. 1983, Ap. J. 264, 458.CrossRefGoogle Scholar
Kayser, R. 1986, Astron. Astrophys. 128, 156.Google Scholar
Kayser, R., and Refsdal, S. 1983, Astron. Astrophys. 128, 156.Google Scholar
Kennicutt, R.C. 1981, Ap. J. 247, 9.CrossRefGoogle Scholar
Kirshner, R.P. 1985, in: Supernovae as Distance Indicators, ed. Bartel, N., Berlin: Springer, p. 171.CrossRefGoogle Scholar
Kormendy, J. 1977, Ap. J. 218, 333.CrossRefGoogle Scholar
Kraan-Korteweg, R.C. 1985, Basel Preprint No. 18.Google Scholar
Kraan-Korteweg, R.C., Cameron, L., and Tammann, G.A. 1986, in: Galaxy Distances and Deviations from Universal Expansion, eds. Madore, B.F. and Tully, R.B., Dordrecht: Reidel, p. 65.CrossRefGoogle Scholar
Kraan-Korteweg, R.C., Sandage, A., and Tammann, G.A. 1984, Ap. J. 283, 24.CrossRefGoogle Scholar
Laney, R.T., and Stobie, R.S. 1986, in press.Google Scholar
Lawrie, D.G., and Graham, J.A. 1983, Bull. Am. Astron. Soc. 15, 907.Google Scholar
Lucey, J.R. 1986, Mon. Not. R. astr. Soc. 222, 417.CrossRefGoogle Scholar
Lynden-Bell, D. 1986, Q. Jl. astr. Soc. 27, 319.Google Scholar
McAlary, C.W., and Madore, B.F. 1984, Ap. J. 282, 101.CrossRefGoogle Scholar
McAlary, C.W., Madore, B.F., McGonegal, R., McLaren, R.A., and Welch, D.L. 1983, Ap. J. 273, 539.Google Scholar
McAlary, C.W., and Welch, D.L. 1985, in: Cepheids: Theory and Observations, ed. Madore, B.F., Cambridge: Cambridge Univ. Press, p. 228.Google Scholar
Madore, B.F. 1986, in: Galaxy Distances and Deviations from Universal Expansion, eds. Madore, B.F. and Tully, R.B., Dordrecht: Reidel, p. 29.CrossRefGoogle Scholar
Malmquist, K.G. 1920, Medd. Lund Obs., Ser. 2, No. 22.Google Scholar
Manousoyanniki, I., and Chincarini, G. 1986, Astron. Astrophys. 160, 331.Google Scholar
Melnick, J., Moles, M., Terlevich, R., and Garcia-Pelayo, J.-M. 1986, ESO Preprint No. 440.Google Scholar
Menzies, J.W., and Whitelock, P.A. 1985, Mon. Not. R. astr. Soc. 212, 783.CrossRefGoogle Scholar
Mould, J., and Kristian, J. 1986, Ap. J. 305, 591.CrossRefGoogle Scholar
Nomoto, K. 1986, Ann. New York Acad. Sci 470, 294.CrossRefGoogle Scholar
Panagia, N., et al. 1980, Mon. Not. R. astr. Soc. 192, 861.Google Scholar
Paturel, G. 1984, Ap. J. 282, 382.CrossRefGoogle Scholar
Pel, J.W. 1985, in: Cepheids: Theory and Observations, ed. Madore, B.F., Cambridge, p. 1.Google Scholar
Persic, M., and Salucci, P. 1986, Mon. Not. R. astr. Soc. 223, 303.CrossRefGoogle Scholar
Porcas, R.W. 1985, in: Active Galactic Nuclei, ed. Dyson, J.E., Manchester: Manchester Univ. Press, p. 22.Google Scholar
Rees, M.J. 1986, in: Cosmology, Astronomy and Fundamental Physics, eds. Setti, G. and Van Hove, L., Garching: ESO, p. 227.Google Scholar
Renzini, A. 1986, in: Galaxy Distances and Deviations from Universal Expansion, eds. Madore, B.F. and Tully, R.B., Dordrecht: Reidel, p.1771.Google Scholar
Richter, O.-G., and Huchtmeier, W.K. 1984, Astron. Astrophys. 132, 253.Google Scholar
Roberts, M.S. 1978, A.J. 83, 1026.CrossRefGoogle Scholar
Rubin, V.C., Burstein, D., Ford, W.K., and Thonnard, N. 1985, Ap. J. 289, 81.CrossRefGoogle Scholar
Sandage, A. 1958, Ap. J. 127, 513.CrossRefGoogle Scholar
Sandage, A. 1970, Ap. J. 162, 841.CrossRefGoogle Scholar
Sandage, A. 1971, Ap. J. 166, 13.CrossRefGoogle Scholar
Sandage, A. 1972, Ap. J. 178, 1.CrossRefGoogle Scholar
Sandage, A. 1975, Ap. J. 202, 563.CrossRefGoogle Scholar
Sandage, A. 1981, Ap. J. 248, 161.CrossRefGoogle Scholar
Sandage, A. 1982, Ap. J. 252, 553.CrossRefGoogle Scholar
Sandage, A. 1983a, Astron. J. 88, 1108.CrossRefGoogle Scholar
Sandage, A. 1983b, Astron. J. 88, 1569.CrossRefGoogle Scholar
Sandage, A. 1984a, Astron. J. 89, 621.CrossRefGoogle Scholar
Sandage, A. 1984b, Astron. J. 89, 630.CrossRefGoogle Scholar
Sandage, A. 1986a, preprint.Google Scholar
Sandage, A. 1986b, unpublished.Google Scholar
Sandage, A. 1986c, A.J. 91, 496.CrossRefGoogle Scholar
Sandage, A. 1986d, Ap. J. 307, 1.CrossRefGoogle Scholar
Sandage, A. 1987, this volume.Google Scholar
Sandage, A., and Carlson, G. 1983, Ap. J. Lett. 267, L25.CrossRefGoogle Scholar
Sandage, A., and Tammann, G.A. 1969, Astrophys. J. 157, 683.CrossRefGoogle Scholar
Sandage, A., and Tammann, G.A. 1971, Ap. J. 167, 293.CrossRefGoogle Scholar
Sandage, A., and Tammann, G.A. 1974a, Ap. J. 190, 525.CrossRefGoogle Scholar
Sandage, A., and Tammann, G.A. 1974b, Ap. J. 194, 223.CrossRefGoogle Scholar
Sandage, A., and Tammann, G.A. 1974c, Ap. J. 194, 559.CrossRefGoogle Scholar
Sandage, A., and Tammann, G.A. 1975, Ap. J. 197, 265.CrossRefGoogle Scholar
Sandage, A., and Tammann, G.A. 1976, Ap. J. 210, 7.CrossRefGoogle Scholar
Sandage, A., Tammann, G.A., and Yahil, A. 1979, Ap. J. 232, 352.CrossRefGoogle Scholar
Sandage, A., and Tammann, G.A. 1981, A Revised Shapley-Ames Catalog of Bright Galaxies, Wash.: Carnegie Inst.Google Scholar
Sandage, A., and Tammann, G.A. 1982, Ap. J. 256, 339.CrossRefGoogle Scholar
Sandage, A., and Tammann, G.A. 1984, Nature 307, 326.CrossRefGoogle Scholar
Sandage, A., and Tammann, G.A. 1984a, in: Large-Scale Structure of the Universe, Cosmology and Fundamental Physics, eds. Setti, G. and Van Hove, L., Garching: ESO, p. 127.Google Scholar
Schechter, P.L. 1980, A.J. 85, 801.CrossRefGoogle Scholar
Schommer, R.A., Olszewski, E.W., and Aaronson, M. 1984, Ap. J. Lett. 285, L53.CrossRefGoogle Scholar
Stebbins, J., Whitford, A.E., and Johnson, H.L. 1950, Ap. J. 112, 469.CrossRefGoogle Scholar
Stothers, R.B. 1983, Ap. J. 274, 20.CrossRefGoogle Scholar
Strugnell, P., Reid, N., and Murray, C.A. 1986, Mon. Not. R. astron. Soc. 220, 413.CrossRefGoogle Scholar
Sutherland, P.G., and Wheeler, J.C. 1984, Ap. J. 280, 282.CrossRefGoogle Scholar
Tammann, G.A. 1977, Mitt. Astron. Ges. 42, 42.Google Scholar
Tammann, G.A. 1982, in: Supernovae: A Survey of Current Research, eds. Rees, M.J. and Stoneham, R.J., Dordrecht: Reidel, p. 371.CrossRefGoogle Scholar
Tammann, G.A., and Sandage, A. 1983, Highlights of Astronomy 6, 301.CrossRefGoogle Scholar
Tammann, G.A., and Sandage, A. 1985, Ap. J. 294, 81.CrossRefGoogle Scholar
Tammann, G.A., Sandage, A., and Yahil, A. 1980, in: Physical Cosmology, eds. Balian, R., Audouze, J., and Schramm, D.N., Amsterdam: North-Holland, p. 53.Google Scholar
Tully, R.B., and Fisher, J.R. 1977, Astron. Astrophys. 54, 661.Google Scholar
Turner, D.G. 1986, A.J. 92, 111.CrossRefGoogle Scholar
Vader, J.P. 1986, Ap. J. 306, 390.CrossRefGoogle Scholar
van der Kruit, P.C. 1986, Astron. Astrophys. 157, 230.Google Scholar
van den Bergh, S. 1960, Publ. David Dunlap Obs. 2, No. 6.Google Scholar
van den Bergh, S. 1977, in: I.A.U. Coll. 37, 13.Google Scholar
van den Bergh, S. 1984, A.J. 89, 608.CrossRefGoogle Scholar
van den Bergh, S., and Pritchet, C. 1986, in: Galaxy Distances and Deviations from Universal Expansion, eds. Madore, B.F. and Tully, R.B., Dordrecht: Reidel, p. 35.Google Scholar
van den Bergh, S., and Pritchet, C.J. 1986a, Publ. A.S.P. 98, 110.CrossRefGoogle Scholar
van den Bergh, S., Pritchet, C., and Grillmair, C. 1986, preprint.Google Scholar
Visvanathan, N. 1983, Ap. J. 275, 430.CrossRefGoogle Scholar
Visvanathan, N. 1985, Ap. J. 288, 182.CrossRefGoogle Scholar
Visvanathan, N., and Griersmith, D. 1977, Astron. Astrophys. 59, 317.Google Scholar
Visvanathan, N., and Sandage, A. 1977, Ap. J. 216, 214.CrossRefGoogle Scholar
Walker, A.R. 1985, Mon. Not. R. astr. Soc. 217, 13P.CrossRefGoogle Scholar
Welch, D.L., McAlary, C.W., McLaren, R.A., and Madore, B.F. 1985, in: Cepheids: Theory and Observtions, ed. Madore, B.F., Cambridge: Cambridge Univ. Press, p. 219.Google Scholar
Welch, D.L., McAlary, C.W., McLaren, R.A., and Madore, B.F. 1986, Ap. J. 305, 583.CrossRefGoogle Scholar
Whitmore, B.C., Kirshner, R.P., and Schechter, P.L. 1979, Ap. J. 234, 68; 1981, Ap. J. 250, 43.CrossRefGoogle Scholar
Woosley, S.E., Taam, R.E., and Weaver, T.A. 1986, Ap. J. 301, 601.CrossRefGoogle Scholar