User:Tohline/ThreeDimensionalConfigurations/BinaryFission - Revision history

Tohline: /* Potentially Useful References */

2019-06-25T20:17:52Z

Potentially Useful References

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	<font color="green">The ancient problem of whether a rotating, contracting star will, if it has sufficient angular momentum, subdivide and become a binary system must now be reexamined. The existence of generalized zero-viscosity polytropic sequences which do not terminate and which do reach the points of dynamical over stability … answers several of the objections that have been raised against the fission hypothesis. The new situation was reviewed by [https://trove.nla.gov.au/work/21340423?selectedversion=NBD179107 J. P. Ostriker (1970)] in a discussion which anticipates the results presented in this paper. A point of view is presented by [https://ui.adsabs.harvard.edu/abs/1972ApJ...175..171L/abstract N. R. Lebovitz (1972)] which envisions a different evolution but predicts fission at the same critical value of</font> <math>~T/\|W\|</math>.		<font color="green">The ancient problem of whether a rotating, contracting star will, if it has sufficient angular momentum, subdivide and become a binary system must now be reexamined. The existence of generalized zero-viscosity polytropic sequences which do not terminate and which do reach the points of dynamical over stability … answers several of the objections that have been raised against the fission hypothesis. The new situation was reviewed by [https://trove.nla.gov.au/work/21340423?selectedversion=NBD179107 J. P. Ostriker (1970)] in a discussion which anticipates the results presented in this paper. A point of view is presented by [https://ui.adsabs.harvard.edu/abs/1972ApJ...175..171L/abstract N. R. Lebovitz (1972)] which envisions a different evolution but predicts fission at the same critical value of</font> <math>~T/\|W\|</math>.
	</td></tr></table>		</td></tr></table>
	* [https://ui.adsabs.harvard.edu/abs/~~1987GApFD~~..38...~~15L~~/abstract N. R. ~~Lebovitz~~ (~~1987~~)], ~~Geophysical and Astrophysical Fluid Dynamics~~, 38, 15: ~~<font color="maroon">~~''~~Binary~~ Fission ~~via Inviscid Trajectories~~''~~</font>~~		* [https://ui.adsabs.harvard.edu/abs/1984Ap%26SS..99...71H/abstract I. Hachisu & Y. Eriguchi (1984)], Astrophysics & Space Sciences, 99, 71: ''Fission Sequence and Equilibrium Models of Rigidity [sic] Rotating Polytropes''
	* [http://www.phys.lsu.edu/astro/movie_captions/fission.html Webpage summary of Cazes' simulations]		* [http://www.phys.lsu.edu/astro/movie_captions/fission.html Webpage summary of Cazes' simulations]
	* [https://inis.iaea.org/search/search.aspx?orig_q=RN:17071096 R. H. Durisen & J. E. Tohline (1985)], ''Protostars and Planets II'', pp. 534 - 575, Univ. of Arizona Press: <font color="maroon"> ''Fission of Rapidly Rotating Fluid Systems''</font>		* [https://inis.iaea.org/search/search.aspx?orig_q=RN:17071096 R. H. Durisen & J. E. Tohline (1985)], ''Protostars and Planets II'', pp. 534 - 575, Univ. of Arizona Press: <font color="maroon"> ''Fission of Rapidly Rotating Fluid Systems''</font>
	* [http://articles.adsabs.harvard.edu//full/1986ormo.conf..487D/0000487.000.html Durisen & Gingold (198x)], <font color="maroon">''Numerical Simulations of Fission''</font>		* [http://articles.adsabs.harvard.edu//full/1986ormo.conf..487D/0000487.000.html Durisen & Gingold (198x)], <font color="maroon">''Numerical Simulations of Fission''</font>
			* [https://ui.adsabs.harvard.edu/abs/1987GApFD..38...15L/abstract N. R. Lebovitz (1987)], Geophysical and Astrophysical Fluid Dynamics, 38, 15: <font color="maroon">''Binary Fission via Inviscid Trajectories''</font>
	<ul>		<ul>
	<li>Phase-Transition Theory of Instabilities:</li>		<li>Phase-Transition Theory of Instabilities:</li>

Tohline: /* Fission in Nuclear Physics */

2019-06-24T17:00:50Z

Fission in Nuclear Physics

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	The nuclear physics community also draws an analogy between the fission of a rotating fluid drop and the spontaneous fission of atomic nuclei; see, for example, the figure associated with the [http://en.wikipedia.org/wiki/Nuclear_fission#Energetics Wikipedia discussion of the energetics of nuclear fission].		The nuclear physics community also draws an analogy between the fission of a rotating fluid drop and the spontaneous fission of atomic nuclei; see, for example, the figure associated with the [http://en.wikipedia.org/wiki/Nuclear_fission#Energetics Wikipedia discussion of the energetics of nuclear fission].

	See also [https://ui.adsabs.harvard.edu/abs/1967ApJ...148..825R/abstract C. E. Rosenkilde (~~1967~~)], ApJ, 148, 825: ''The tensor virial-theorem including viscous stress and the oscillations of a Maclaurin spheroid''. The first few lines of the Appendix of this paper state …		See also [https://ui.adsabs.harvard.edu/abs/1967ApJ...148..825R/abstract C. E. Rosenkilde (1967b)], ApJ, 148, 825: ''The tensor virial-theorem including viscous stress and the oscillations of a Maclaurin spheroid''. The first few lines of the Appendix of this paper state …
	<table align="center" width="80%"><tr><td align="left">		<table align="center" width="80%"><tr><td align="left">
	<font color="green">		<font color="green">
	"The virial method has recently been extended to phenomena of interest in the theory of nuclear fission (Rosenkilde ~~1967~~) … For a rotating, charged, inviscid liquid drop held together by surface tension, there exist axisymmetric figures of equilibrium which are nearly spheroids. Moreover, prolate as well as oblate figures are possible. If these figures are assumed to be spheroids, then the investigation (based on the virial method) of their stability closely resembles the corresponding investigation for the self-gravitating Maclaurin spheroids …"		"The virial method has recently been extended to phenomena of interest in the theory of nuclear fission ([https://ui.adsabs.harvard.edu/abs/1967JMP.....8...98R/abstract Rosenkilde 1967a)]</font>, Journal of Mathematical Physics, 8, 98 <font color="green">… For a rotating, charged, inviscid liquid drop held together by surface tension, there exist axisymmetric figures of equilibrium which are nearly spheroids. Moreover, prolate as well as oblate figures are possible. If these figures are assumed to be spheroids, then the investigation (based on the virial method) of their stability closely resembles the corresponding investigation for the self-gravitating Maclaurin spheroids …"
	</font>		</font>
	</td></tr></table>		</td></tr></table>

Tohline: /* Fission in Nuclear Physics */

2019-06-24T16:49:48Z

Fission in Nuclear Physics

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	==Fission in Nuclear Physics==		==Fission in Nuclear Physics==
	The nuclear physics community also draws an analogy between the fission of a rotating fluid drop and the spontaneous fission of atomic nuclei; see, for example, the figure associated with the [http://en.wikipedia.org/wiki/Nuclear_fission#Energetics Wikipedia discussion of the energetics of nuclear fission].		The nuclear physics community also draws an analogy between the fission of a rotating fluid drop and the spontaneous fission of atomic nuclei; see, for example, the figure associated with the [http://en.wikipedia.org/wiki/Nuclear_fission#Energetics Wikipedia discussion of the energetics of nuclear fission].

			See also [https://ui.adsabs.harvard.edu/abs/1967ApJ...148..825R/abstract C. E. Rosenkilde (1967)], ApJ, 148, 825: ''The tensor virial-theorem including viscous stress and the oscillations of a Maclaurin spheroid''. The first few lines of the Appendix of this paper state …
			<table align="center" width="80%"><tr><td align="left">
			<font color="green">
			"The virial method has recently been extended to phenomena of interest in the theory of nuclear fission (Rosenkilde 1967) … For a rotating, charged, inviscid liquid drop held together by surface tension, there exist axisymmetric figures of equilibrium which are nearly spheroids. Moreover, prolate as well as oblate figures are possible. If these figures are assumed to be spheroids, then the investigation (based on the virial method) of their stability closely resembles the corresponding investigation for the self-gravitating Maclaurin spheroids …"
			</font>
			</td></tr></table>

	==Drop Dynamics Experiments==		==Drop Dynamics Experiments==

Tohline: /* Potentially Useful References */

2019-06-22T17:40:39Z

Potentially Useful References

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	==Potentially Useful References==		==Potentially Useful References==

			* [https://ui.adsabs.harvard.edu/abs/1965RSPSA.286....1C/abstract S. Chandrasekhar (1965)], Proc. Roy. Soc. London. Series A, Mathematical and Physical Sciences, 286, pp. 1 - 26: ''The Stability of a Rotating Liquid Drop''
	* [https://ui.adsabs.harvard.edu/abs/1966ApJ...143..111R/abstract I. W. Roxburgh (1966)], ApJ, 143, 111: ''On the Fission Theory of the Origin of Binary Stars''		* [https://ui.adsabs.harvard.edu/abs/1966ApJ...143..111R/abstract I. W. Roxburgh (1966)], ApJ, 143, 111: ''On the Fission Theory of the Origin of Binary Stars''
	* [https://trove.nla.gov.au/work/21340423?selectedversion=NBD179107 J. P. Ostriker (1970)], Stellar Rotation: Proceedings of the IAU Colloquium held at the Ohio State University, Columbus, OH, U.S.A., September 8-11, 1969, edited by Arne Slettebak, p. 147: <font color="maroon">''Fission and the Origin of Binary Stars''</font>		* [https://trove.nla.gov.au/work/21340423?selectedversion=NBD179107 J. P. Ostriker (1970)], Stellar Rotation: Proceedings of the IAU Colloquium held at the Ohio State University, Columbus, OH, U.S.A., September 8-11, 1969, edited by Arne Slettebak, p. 147: <font color="maroon">''Fission and the Origin of Binary Stars''</font>

Tohline: /* Potentially Useful References */

2019-06-21T15:59:56Z

Potentially Useful References

← Older revision		Revision as of 15:59, 21 June 2019
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	* [https://inis.iaea.org/search/search.aspx?orig_q=RN:17071096 R. H. Durisen & J. E. Tohline (1985)], ''Protostars and Planets II'', pp. 534 - 575, Univ. of Arizona Press: <font color="maroon"> ''Fission of Rapidly Rotating Fluid Systems''</font>		* [https://inis.iaea.org/search/search.aspx?orig_q=RN:17071096 R. H. Durisen & J. E. Tohline (1985)], ''Protostars and Planets II'', pp. 534 - 575, Univ. of Arizona Press: <font color="maroon"> ''Fission of Rapidly Rotating Fluid Systems''</font>
	* [http://articles.adsabs.harvard.edu//full/1986ormo.conf..487D/0000487.000.html Durisen & Gingold (198x)], <font color="maroon">''Numerical Simulations of Fission''</font>		* [http://articles.adsabs.harvard.edu//full/1986ormo.conf..487D/0000487.000.html Durisen & Gingold (198x)], <font color="maroon">''Numerical Simulations of Fission''</font>
			<ul>
			<li>Phase-Transition Theory of Instabilities:</li>
			<ol type="I">
			<li>[https://ui.adsabs.harvard.edu/abs/1995ApJ...446..472C/abstract D. M. Christodoulou, D. Kazanas, I. Shlosman & J. E. Tohline (1995a)], ApJ, 446, 472: ''Second-Harmonic Instability and Bifurcation Points''</li>
			<li>[https://ui.adsabs.harvard.edu/abs/1995ApJ...446..485C/abstract D. M. Christodoulou, D. Kazanas, I. Shlosman & J. E. Tohline (1995b)], ApJ, 446, 485: ''Fourth-Harmonic Bifurcations and λ-Transitions''</li>
			<li>[https://ui.adsabs.harvard.edu/abs/1995ApJ...446..500C/abstract D. M. Christodoulou, D. Kazanas, I. Shlosman & J. E. Tohline (1995c)], ApJ, 446, 500: ''The Third-Harmonic Bifurcation on the Jacobi Sequence and the Fission Problem''</li>
			<li>[https://ui.adsabs.harvard.edu/abs/1995ApJ...446..510C/abstract D. M. Christodoulou, D. Kazanas, I. Shlosman & J. E. Tohline (1995d)], ApJ, 446, 510: ''Critical Points on the Maclaurin Sequence and Nonlinear Fission Processes''</li>
			</ol>
			</ul>
	* [https://ui.adsabs.harvard.edu/abs/2001IAUS..200...23B/abstract I. A. Bonnell (2001)], Proceedings of IAU Symposium 200, held 10 - 15 April, 2000 in Potsdam, Germany, edited by Hans Zinnecker and Robert D. Mathieu, p. 23: ''The Formation of Close Binary Stars''		* [https://ui.adsabs.harvard.edu/abs/2001IAUS..200...23B/abstract I. A. Bonnell (2001)], Proceedings of IAU Symposium 200, held 10 - 15 April, 2000 in Potsdam, Germany, edited by Hans Zinnecker and Robert D. Mathieu, p. 23: ''The Formation of Close Binary Stars''
	* [https://ui.adsabs.harvard.edu/abs/2002ARA%26A..40..349T/abstract J. T. Tohline (2002)], ARAA, 40, 349: ''The Origin of Binary Stars''		* [https://ui.adsabs.harvard.edu/abs/2002ARA%26A..40..349T/abstract J. T. Tohline (2002)], ARAA, 40, 349: ''The Origin of Binary Stars''

Tohline: /* Fission Hypothesis of Binary Star Formation */

2019-06-20T22:59:54Z

Fission Hypothesis of Binary Star Formation

← Older revision		Revision as of 22:59, 20 June 2019
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	=Fission Hypothesis of Binary Star Formation=		=Fission Hypothesis of Binary Star Formation=
			<table border="0" cellpadding="3" align="center" width="60%">
			<tr><td align="left">
			<font color="darkgreen">
			"This paper is concerned with one of the oldest hypotheses in stellar-evolution theory, namely, that a binary system originates from the splitting of a single star into two components due to rotational instability during contraction of the star. In spite of many attempts, no satisfactory theory of this process has been developed …"</font>
			</td></tr>
			<tr><td align="right">
			— Drawn from §I of [https://ui.adsabs.harvard.edu/abs/1966ApJ...143..111R/abstract Ian W. Roxburgh (1966)]
			</td></tr></table>

	{{LSU_HBook_header}}		{{LSU_HBook_header}}

Tohline: /* Potentially Useful References */

2019-06-20T22:49:02Z

Potentially Useful References

← Older revision		Revision as of 22:49, 20 June 2019
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	* [https://inis.iaea.org/search/search.aspx?orig_q=RN:17071096 R. H. Durisen & J. E. Tohline (1985)], ''Protostars and Planets II'', pp. 534 - 575, Univ. of Arizona Press: <font color="maroon"> ''Fission of Rapidly Rotating Fluid Systems''</font>		* [https://inis.iaea.org/search/search.aspx?orig_q=RN:17071096 R. H. Durisen & J. E. Tohline (1985)], ''Protostars and Planets II'', pp. 534 - 575, Univ. of Arizona Press: <font color="maroon"> ''Fission of Rapidly Rotating Fluid Systems''</font>
	* [http://articles.adsabs.harvard.edu//full/1986ormo.conf..487D/0000487.000.html Durisen & Gingold (198x)], <font color="maroon">''Numerical Simulations of Fission''</font>		* [http://articles.adsabs.harvard.edu//full/1986ormo.conf..487D/0000487.000.html Durisen & Gingold (198x)], <font color="maroon">''Numerical Simulations of Fission''</font>
			* [https://ui.adsabs.harvard.edu/abs/2001IAUS..200...23B/abstract I. A. Bonnell (2001)], Proceedings of IAU Symposium 200, held 10 - 15 April, 2000 in Potsdam, Germany, edited by Hans Zinnecker and Robert D. Mathieu, p. 23: ''The Formation of Close Binary Stars''
			* [https://ui.adsabs.harvard.edu/abs/2002ARA%26A..40..349T/abstract J. T. Tohline (2002)], ARAA, 40, 349: ''The Origin of Binary Stars''

	==Illustration==		==Illustration==

Tohline: /* Fission Hypothesis of Binary Star Formation */

2019-06-17T21:57:27Z

Fission Hypothesis of Binary Star Formation

← Older revision		Revision as of 21:57, 17 June 2019
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	=Fission Hypothesis of Binary Star Formation=		=Fission Hypothesis of Binary Star Formation=

			{{LSU_HBook_header}}

			==Potentially Useful References==

	* [https://ui.adsabs.harvard.edu/abs/1966ApJ...143..111R/abstract I. W. Roxburgh (1966)], ApJ, 143, 111: ''On the Fission Theory of the Origin of Binary Stars''		* [https://ui.adsabs.harvard.edu/abs/1966ApJ...143..111R/abstract I. W. Roxburgh (1966)], ApJ, 143, 111: ''On the Fission Theory of the Origin of Binary Stars''
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	* [https://inis.iaea.org/search/search.aspx?orig_q=RN:17071096 R. H. Durisen & J. E. Tohline (1985)], ''Protostars and Planets II'', pp. 534 - 575, Univ. of Arizona Press: <font color="maroon"> ''Fission of Rapidly Rotating Fluid Systems''</font>		* [https://inis.iaea.org/search/search.aspx?orig_q=RN:17071096 R. H. Durisen & J. E. Tohline (1985)], ''Protostars and Planets II'', pp. 534 - 575, Univ. of Arizona Press: <font color="maroon"> ''Fission of Rapidly Rotating Fluid Systems''</font>
	* [http://articles.adsabs.harvard.edu//full/1986ormo.conf..487D/0000487.000.html Durisen & Gingold (198x)], <font color="maroon">''Numerical Simulations of Fission''</font>		* [http://articles.adsabs.harvard.edu//full/1986ormo.conf..487D/0000487.000.html Durisen & Gingold (198x)], <font color="maroon">''Numerical Simulations of Fission''</font>


	~~{{LSU_HBook_header}}~~

Tohline: /* Fission Hypothesis of Binary Star Formation */

2019-06-17T21:51:06Z

Fission Hypothesis of Binary Star Formation

← Older revision		Revision as of 21:51, 17 June 2019
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	* [https://ui.adsabs.harvard.edu/abs/1966ApJ...143..111R/abstract I. W. Roxburgh (1966)], ApJ, 143, 111: ''On the Fission Theory of the Origin of Binary Stars''		* [https://ui.adsabs.harvard.edu/abs/1966ApJ...143..111R/abstract I. W. Roxburgh (1966)], ApJ, 143, 111: ''On the Fission Theory of the Origin of Binary Stars''
	* [https://trove.nla.gov.au/work/21340423?selectedversion=NBD179107 J. P. Ostriker (1970)], Stellar Rotation: Proceedings of the IAU Colloquium held at the Ohio State University, Columbus, OH, U.S.A., September 8-11, 1969, edited by Arne Slettebak. <font color="maroon">''Fission and the Origin of Binary Stars''</font>		* [https://trove.nla.gov.au/work/21340423?selectedversion=NBD179107 J. P. Ostriker (1970)], Stellar Rotation: Proceedings of the IAU Colloquium held at the Ohio State University, Columbus, OH, U.S.A., September 8-11, 1969, edited by Arne Slettebak, p. 147: <font color="maroon">''Fission and the Origin of Binary Stars''</font>
	* [https://ui.adsabs.harvard.edu/abs/1972ApJ...175..171L/abstract N. R. Lebovitz (1972)], ApJ, 175, 171: <font color="maroon">''On the Fission Theory of Binary Stars''</font>		* [https://ui.adsabs.harvard.edu/abs/1972ApJ...175..171L/abstract N. R. Lebovitz (1972)], ApJ, 175, 171: <font color="maroon">''On the Fission Theory of Binary Stars''</font>
			* §IVa of [https://ui.adsabs.harvard.edu/abs/1973ApJ...180..159B/abstract P. Bodenheimer & J. P. Ostriker (1973)], ApJ, 180, 159 [Part VIII]
			<table border="0" align="center" width="100%" cellpadding="1"><tr>
			<td align="center" width="5%"> </td><td align="left">
			<font color="green">The ancient problem of whether a rotating, contracting star will, if it has sufficient angular momentum, subdivide and become a binary system must now be reexamined. The existence of generalized zero-viscosity polytropic sequences which do not terminate and which do reach the points of dynamical over stability … answers several of the objections that have been raised against the fission hypothesis. The new situation was reviewed by [https://trove.nla.gov.au/work/21340423?selectedversion=NBD179107 J. P. Ostriker (1970)] in a discussion which anticipates the results presented in this paper. A point of view is presented by [https://ui.adsabs.harvard.edu/abs/1972ApJ...175..171L/abstract N. R. Lebovitz (1972)] which envisions a different evolution but predicts fission at the same critical value of</font> <math>~T/\|W\|</math>.
			</td></tr></table>
	* [https://ui.adsabs.harvard.edu/abs/1987GApFD..38...15L/abstract N. R. Lebovitz (1987)], Geophysical and Astrophysical Fluid Dynamics, 38, 15: <font color="maroon">''Binary Fission via Inviscid Trajectories''</font>		* [https://ui.adsabs.harvard.edu/abs/1987GApFD..38...15L/abstract N. R. Lebovitz (1987)], Geophysical and Astrophysical Fluid Dynamics, 38, 15: <font color="maroon">''Binary Fission via Inviscid Trajectories''</font>
	* [http://www.phys.lsu.edu/astro/movie_captions/fission.html Webpage summary of Cazes' simulations]		* [http://www.phys.lsu.edu/astro/movie_captions/fission.html Webpage summary of Cazes' simulations]

Tohline: /* Fission Hypothesis of Binary Star Formation */

2019-06-16T21:27:22Z

Fission Hypothesis of Binary Star Formation

← Older revision		Revision as of 21:27, 16 June 2019
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	=Fission Hypothesis of Binary Star Formation=		=Fission Hypothesis of Binary Star Formation=

			* [https://ui.adsabs.harvard.edu/abs/1966ApJ...143..111R/abstract I. W. Roxburgh (1966)], ApJ, 143, 111: ''On the Fission Theory of the Origin of Binary Stars''
	* [https://trove.nla.gov.au/work/21340423?selectedversion=NBD179107 J. P. Ostriker (1970)], Stellar Rotation: Proceedings of the IAU Colloquium held at the Ohio State University, Columbus, OH, U.S.A., September 8-11, 1969, edited by Arne Slettebak. <font color="maroon">''Fission and the Origin of Binary Stars''</font>		* [https://trove.nla.gov.au/work/21340423?selectedversion=NBD179107 J. P. Ostriker (1970)], Stellar Rotation: Proceedings of the IAU Colloquium held at the Ohio State University, Columbus, OH, U.S.A., September 8-11, 1969, edited by Arne Slettebak. <font color="maroon">''Fission and the Origin of Binary Stars''</font>
	* [https://ui.adsabs.harvard.edu/abs/1972ApJ...175..171L/abstract N. R. Lebovitz (1972)], ApJ, 175, 171: <font color="maroon">''On the Fission Theory of Binary Stars''</font>		* [https://ui.adsabs.harvard.edu/abs/1972ApJ...175..171L/abstract N. R. Lebovitz (1972)], ApJ, 175, 171: <font color="maroon">''On the Fission Theory of Binary Stars''</font>