# User:Tohline/ThreeDimensionalConfigurations/BinaryFission

(Difference between revisions)
 Revision as of 09:49, 24 June 2019 (view source)Tohline (Talk | contribs) (→Fission in Nuclear Physics)← Older edit Current revision as of 13:17, 25 June 2019 (view source)Tohline (Talk | contribs) (→Potentially Useful References) (One intermediate revision not shown) Line 24: Line 24: 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 [itex]~T/|W|[/itex]. 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 [itex]~T/|W|[/itex]. - * [https://ui.adsabs.harvard.edu/abs/1987GApFD..38...15L/abstract N. R. Lebovitz (1987)], Geophysical and Astrophysical Fluid Dynamics, 38, 15: ''Binary Fission via Inviscid Trajectories'' + * [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: ''Fission of Rapidly Rotating Fluid Systems'' * [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: ''Fission of Rapidly Rotating Fluid Systems'' * [http://articles.adsabs.harvard.edu//full/1986ormo.conf..487D/0000487.000.html Durisen & Gingold (198x)], ''Numerical Simulations of Fission'' * [http://articles.adsabs.harvard.edu//full/1986ormo.conf..487D/0000487.000.html Durisen & Gingold (198x)], ''Numerical Simulations of Fission'' + * [https://ui.adsabs.harvard.edu/abs/1987GApFD..38...15L/abstract N. R. Lebovitz (1987)], Geophysical and Astrophysical Fluid Dynamics, 38, 15: ''Binary Fission via Inviscid Trajectories''
• Phase-Transition Theory of Instabilities:
• Phase-Transition Theory of Instabilities:
• Line 95: Line 96: 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 …
- "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)], Journal of Mathematical Physics, 8, 98 …  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 …"

# Fission Hypothesis of Binary Star Formation

 "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 …" — Drawn from §I of Ian W. Roxburgh (1966)

## Potentially Useful References

• S. Chandrasekhar (1965), Proc. Roy. Soc. London. Series A, Mathematical and Physical Sciences, 286, pp. 1 - 26: The Stability of a Rotating Liquid Drop
• I. W. Roxburgh (1966), ApJ, 143, 111: On the Fission Theory of the Origin of Binary Stars
• 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: Fission and the Origin of Binary Stars
• N. R. Lebovitz (1972), ApJ, 175, 171: On the Fission Theory of Binary Stars
• §IVa of P. Bodenheimer & J. P. Ostriker (1973), ApJ, 180, 159 [Part VIII]
 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 J. P. Ostriker (1970) in a discussion which anticipates the results presented in this paper. A point of view is presented by N. R. Lebovitz (1972) which envisions a different evolution but predicts fission at the same critical value of $~T/|W|$.
• 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
• J. T. Tohline (2002), ARAA, 40, 349: The Origin of Binary Stars

## Illustration

 Figure 1 YouTube video: Skylab Drop Dynamics Experiment (1975) Figure 2 Brown & Scriven (1980) (Journal of Fluid Mechanics, 276, 389) Figure 4 Wang, Anilkumar, Lee & Lin (1994) (Proc. Roy. Soc. London, 371, 331) Figure 3 Hachisu & Eriguchi (1984) (Astrophysics and Space Science, 99, 71) Figure 5 Figure 10 from New & Tohline (1997) (The Astrophysical Journal, 490, 311)

# Related Discussions

## 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 Wikipedia discussion of the energetics of nuclear fission.

See also 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 …

 "The virial method has recently been extended to phenomena of interest in the theory of nuclear fission (Rosenkilde 1967a), Journal of Mathematical Physics, 8, 98 … 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 …"

## Drop Dynamics Experiments

[On 1 January 2014, J. E. Tohline wrote ...] As I was putting this chapter together, I had difficulty documenting the various drop dynamics experiments that have been conducted by astronauts in various Earth-orbiting (zero g) environments. Here is the relevant information that I have found, to date.

### Skylab

Experiments showing the fission of liquid drops were evidently conducted during the Skylab 2, Skylab 3, and Skylab 4 missions (circa 1973-1974).

 According to the Teacher's Guide mentioned above, the activities shown in the above-referenced films were carried out by three teams of Skylab Astronauts: Kerwin blows water droplet from a straw Skylab 2 (First Team)

### Space Shuttle Flights

Experiments illustrating the dynamical behavior of liquid drops were conducted during several space shuttle missions. Some experiments were performed inside the European Space Agency's "spacelab module" and others were performed with the aid of a "Drop Physics Module (DPM)" inside the United States Microgravity Laboratory (USML), each being a "portable" laboratory that was housed in the shuttle's payload bay.

### International Space Station

• See the two "Gallery of Fluid Motions" mpg movies that accompany the preprint by Ueno et al. (2012).

## Online References

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