Three Dimensional Evolution of SN 1987A in a Self-Gravitating Disk

Author(s)
L. Zaninetti

ABSTRACT

The introduction of an exponential or power law gradient in the interstellar medium (ISM) allows to produce an asymmetric evolution of the supernova remnant (SNR) when the framework of the thin layer approximation is adopted. Unfortunately both the exponential and power law gradients for the ISM do not have a well defined physical meaning. The physics conversely is well represented by an isothermal self-gravitating disk of particles whose velocity is everywhere Maxwellian. We derived a law of motion in the framework of the thin layer approximation with a control parameter of the swept mass. The photon’s losses, which are often neglected in the thin layer approximation, are modeled trough velocity dependence. The developed framework is applied to SNR 1987A and the three observed rings are simulated.

Cite this paper

L. Zaninetti, "Three Dimensional Evolution of SN 1987A in a Self-Gravitating Disk,"*International Journal of Astronomy and Astrophysics*, Vol. 3 No. 2, 2013, pp. 93-98. doi: 10.4236/ijaa.2013.32010.

L. Zaninetti, "Three Dimensional Evolution of SN 1987A in a Self-Gravitating Disk,"

References

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[9] C. J. Hill, “Ueber Die Integration Logarithmisch-Rationaler Differentiale,” Journal für die Reine und Angewandte Mathematik, Vol. 1828, No. 3, 2009, pp. 101-159. doi:10.1515/crll.1828.3.101

[10] L. Lewin, “Polylogarithms and Associated Functions,” New York, North Holland, 1981.

[11] F. W. J. Olver, D. W. Lozier, R. F. Boisvert and C. W. Clark, “NIST Handbook of Mathematical Functions,” Cambridge University Press, Cambridge, 2010.

[12] W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, “Numerical Recipes in FORTRAN. The Art of Scientific Computing,” Cambridge University Press, Cambridge, 1992.

[13] J. L. Racusin, S. Park, S. Zhekov, D. N. Burrows, G. P. Garmire and R. McCray, “X-Ray Evolution of SNR 1987A: The Radial Expansion ApJ 703, 1752 (Preprint 0908. 2097),” 2009.

[14] B. T. Chiad, L. M. Karim and L. T. Ali, “Study the Radial Expansion of SN 1987A Using Counting Pixels Method,” International Journal of Astronomy and Astrophysics, Vol. 2, 2012, pp. 199-203.

[15] D. S. De Young, “The Physics of Extragalactic Radio Sources,” University of Chicago Press, Chicago, 2002.

[16] H. Goldstein, C. Poole and J. Safko, “Classical Mechanics,” Addison-Wesley, San Francisco, 2002.

[17] L. Zaninetti, “On the 3D Structure of the Nebula around Carinae Advances in Space Research 46, 1341 (Preprint 1010.2364),” 2010.

[18] L. Zaninetti, “Interaction of Planetary Nebulae, Eta-Carinae and Supernova Remnants with the Interstellar Medium,” In: B. Cancellieri and V Mamedov, Eds., Interstellar Medium: New Research, Nova Publishers, New York, 2012, pp. 91-146.

[19] N. Smith, “The Structure of the Homunculus. I. Shape and Latitude Dependence from H2 and Fe II Velocity Maps of eta Carinae ApJ 644, 1151 (Preprint arXiv:astro-ph/0602464),” 2006.

[1] R. A. Chevalier, “Self-Similar Solutions for the Interaction of Stellar Ejecta with an External Medium ApJ 1982258, 790,” 1982.

[2] R. A. Chevalier, “The Radio and X-Ray Emission from Type II Supernovae ApJ 259, 302,” 1982.

[3] S. P. Reynolds and D. M. Gilmore, “Radio Observations of the Remnant of the Supernova of A.D. 1006. I—Total Intensity Observations AJ 92, 1138,” 1986.

[4] T. Morris and P. Podsiadlowski, “The Triple-Ring Nebula around SN 1987A: Fingerprint of a Binary Merger Science 315, 1103 (Preprint arXiv:astro-ph/0703317) Three Dimensional Evolution of SN 1987A in a Self-Gravitating Disk,” 2007.

[5] A. Tziamtzis, P. Lundqvist, P. Groningsson and S. Nasoudi-Shoar, “The Outer Rings of SN 1987A A&A 527 A35 (Preprint 1008.3387),” 2011.

[6] L. Zaninetti, “On the Spherical-Axial Transition in Supernova Remnants Astrophysics and Space Science 337, 581 (Preprint 1109.4012),” 2012.

[7] G. Bertin, “Dynamics of Galaxies,” Cambridge University Press, Cambridge, 2000.

[8] P. Padmanabhan, “Theoretical Astrophysics. Vol. III: Galaxies and Cosmology,” Cambridge University Press, Cambridge, 2002.

[9] C. J. Hill, “Ueber Die Integration Logarithmisch-Rationaler Differentiale,” Journal für die Reine und Angewandte Mathematik, Vol. 1828, No. 3, 2009, pp. 101-159. doi:10.1515/crll.1828.3.101

[10] L. Lewin, “Polylogarithms and Associated Functions,” New York, North Holland, 1981.

[11] F. W. J. Olver, D. W. Lozier, R. F. Boisvert and C. W. Clark, “NIST Handbook of Mathematical Functions,” Cambridge University Press, Cambridge, 2010.

[12] W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, “Numerical Recipes in FORTRAN. The Art of Scientific Computing,” Cambridge University Press, Cambridge, 1992.

[13] J. L. Racusin, S. Park, S. Zhekov, D. N. Burrows, G. P. Garmire and R. McCray, “X-Ray Evolution of SNR 1987A: The Radial Expansion ApJ 703, 1752 (Preprint 0908. 2097),” 2009.

[14] B. T. Chiad, L. M. Karim and L. T. Ali, “Study the Radial Expansion of SN 1987A Using Counting Pixels Method,” International Journal of Astronomy and Astrophysics, Vol. 2, 2012, pp. 199-203.

[15] D. S. De Young, “The Physics of Extragalactic Radio Sources,” University of Chicago Press, Chicago, 2002.

[16] H. Goldstein, C. Poole and J. Safko, “Classical Mechanics,” Addison-Wesley, San Francisco, 2002.

[17] L. Zaninetti, “On the 3D Structure of the Nebula around Carinae Advances in Space Research 46, 1341 (Preprint 1010.2364),” 2010.

[18] L. Zaninetti, “Interaction of Planetary Nebulae, Eta-Carinae and Supernova Remnants with the Interstellar Medium,” In: B. Cancellieri and V Mamedov, Eds., Interstellar Medium: New Research, Nova Publishers, New York, 2012, pp. 91-146.

[19] N. Smith, “The Structure of the Homunculus. I. Shape and Latitude Dependence from H2 and Fe II Velocity Maps of eta Carinae ApJ 644, 1151 (Preprint arXiv:astro-ph/0602464),” 2006.