Abstract
Using the kinematical data we try to solve the Jeans equation to provide mass estimation of the globular cluster M4. The proper motion data provides two independent velocity dispersion profiles which we need in this estimation. Moreover, we have calculated the density distribution function and checked the anisotropy of the velocity dispersion.
The comparison of the dynamical mass with the estimation stellar mass for M4 gives the best estimation of the mass inside a spherical shell centered on the cluster, with a radius corresponding to 840 arcsec on the sky, as 4-5× 104 M\( \odot \).
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References
Alcaino, G.: 1975, Astron. Astrophys. Suppl. 21, 5.
Alcaino, G. and Liller, W.: 1984, Astrophys. J. Suppl. 56, 19.
Alcaino, G., Liller, W. and Alvarado, F.: 1988, Astrophys. J. 330, 569.
Allen, C.W.: 1973, Astrophysical quantities, Univ. of London, The Athlone Press.
Cadworth, K.M. and Rees, R.: 1990, Astrophys. J. 99, 1491.
Capaccioli, M., Ortolani, S. and Piotto, G.: 1991, Astron. Astrophys. 244, 298.
Chandrasekhar, S.: 1947, Principles of Stellar Dynamics, 2nd edn., page 201.
Dixon, R.I. and Longmore, A.J.: 1993, Mon. Not. R. Astron. Soc. 265, 395.
Drukier, G.A., Fahlman, G.G., Richer, H.B. and Vandenberg, D.A.: 1988, Astrophys. J. 995, 1415.
Greenstein, J.L.: 1939, Astrophys. J. 90, 387.
Jones, B.F.: 1971, Astrophys. J. 76, 470.
Kanatos, I.N., Griffith, W.S., Dicken, R.J. and Penny, A.J.: 1995, Mon. Not. R. Astron. Soc. 272, 265.
Lee, S.W.: 1977, Astron. Astrophys. Suppl. 27, 367.
Lee, Y.W. and Fahlman, G.G. and Richer, H.B.: 1991, Astrophys. J. 366, 455.
Leonard, P.J.T. and Merritt, D.: 1989, Astrophys. J. 339, 195.
Leonard, P.J.T., Richer, H.B. and Fahlman, G.G.: 1992, Astrophys. J. 104, 6.
Lloyd, E.T.: 1977, Mon. Not. R. Astron. Soc. 178, 353.
Marie, M.: 1993, Astrophys. Space Sci. 201, 71.
McClure, R.B., Vandenberg, D.A., Bell, R.A. and Stetson, P.B.: 1987, Astrophys. J. 93, 1144.
McNamara, B.J. and Sekiguchi, K.: 1986, Astrophys. J. 310, 613.
Moskalev, V.G.: 1976, Soviet J. 19, 495.
Ogorednikou, K.F., Nezhinskij, E.M. and Sipkou, L.P.: 1978, Bull. Inst. Theor. Astron. 14, 284.
Penny, A.J., Labenow, A. and Dickens, R.J.: 1987, in: M. Azzapardi and F. Metteui (eds.), Interstellar Evolution and Dynamics in the Outer Halo of the Galaxy, ESO Conference and Workshop Proceedings No. 27, p. 401.
Peterson, C.J. and King, I.R.: 1975, Astron. J. 8, 427.
Peterson, R.C,: 1985, Astrophys. J. 289, 320.
Peterson, R.C, and Lathan, D.W.: 1986, Astrophys. J. 305, 645.
Phillips, J.P., Martinez, R.C., Sanchez, M.C. and Lazaro, V.C.: 1986, Astron. Astrophys. 161, 257 (PRMV86).
Plummer, H.C.: 1991, Mon. Not. R. Astron. Soc. 71, 460.
Richer, H.B. and Fahlman, G.G.: 1984, Astrophys. J. 277, 227.
Richer, H.B., Fahlman, G.G., Buonanmo, R., Fusi Pecci, F., Searie, L. and Thompson, I.B.: 1991, Astrophys. J. 381, 147.
Sawyer, H.H.: 1973, Publ. David. Dumlap Ots. 3,No. 6.
Vandenberg, D.A. and Bell, R.A.: 1985, Astrophys. J. Suppl. 58, 561.
Van Leavwen: 1983, Ph.D. thesis Sterrewacht Leides.
Yoo, B.A.: 1987, The Messenger, No. 50, 33.
Yoo, B.A., Tang, J.H. and Zhang, C.S.: 1988, Acta Astron. Sin. 29, 243.
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Amin, M., Rassem, M. & Marie, M. Mass Estimation in the Globular Cluster M4. Astrophysics and Space Science 250, 137–146 (1997). https://doi.org/10.1023/A:1000402209617
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DOI: https://doi.org/10.1023/A:1000402209617