Abstract
The Eclipse Mapping Method is an indirect imaging technique that transforms the shape of the eclipse light curve into a map of the surface brightness distribution of the occulted regions. Three decades of application of this technique to the investigation of the structure, the spectrum and the time evolution of accretion discs around white dwarfs in cataclysmic variables have enriched our understanding of these accretion devices with a wealth of details such as (but not limited to) moving heating/cooling waves during outbursts in dwarf novae , tidally-induced spiral shocks of emitting gas with sub-Keplerian velocities, elliptical precessing discs associated to superhumps , and measurements of the radial run of the disc viscosity through the mapping of the disc flickering sources. This chapter reviews the principles of the method, discusses its performance, limitations, useful error propagation procedures, as well as highlights a selection of applications aimed at showing the possible scientific problems that have been and may be addresses with it.
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Notes
- 1.
Pixels outside the region covered by the grid of criss-crossed arcs are never eclipsed, and have no corresponding ingress/egress phases (ϕ i , ϕ e ). Accordingly, there is no information about the surface brightness distribution of these unocculted regions in the shape of the eclipse.
- 2.
R j and R k are the distances from pixels j and k to the centre of the disc; θ jk is the azimuthal angle between pixels j and k; s jk is the arc-length between pixels j and k.
- 3.
This is usually done by fitting a spline function to the phases outside eclipse, dividing the light curve by the fitted spline, and scaling the result to the spline function value at phase zero (e.g., [9]).
References
Augusteijn, T., Karatasos, K., Papadakis, M., et al.: Coordinated X-ray and optical observations of Scorpius X-1. A&A 265, 177 (1992)
Baptista, R.: Eclipse mapping of accretion discs. In: Boffin, H.M.J., Steeghs, D., Cuypers, J. (eds.) Astrotomography: Indirect Imaging Methods in Observational Astronomy. Lecture Notes in Physics, vol. 573, p. 307. Springer, Berlin (2001)
Baptista, R.: Accretion disk evolution in dwarf novae through outbursts: disk instability and mass-transfer instability cases. Mem. S. A. It. 83, 530 (2012)
Baptista, R., Borges, B., Oliveira, A.S.: in prep.
Baptista, R., Bortoletto, A.: Eclipse mapping of the flickering sources in the dwarf nova V2051 Ophiuchi. AJ 128, 411 (2004)
Baptista, R., Bortoletto, A.: A two-armed pattern in flickering maps of the nova-like variable UU Aquarii. ApJ 676, 1240 (2008)
Baptista, R., Catalán, M.S.: Changes in the structure of the accretion disc of EX Draconis through the outburst cycle. MNRAS 324, 599 (2001)
Baptista, R., Harlaftis, E.T., Steeghs, D.: Eclipse maps of spiral shocks in the accretion disc of IP Pegasi in outburst. MNRAS 314, 727 (2000)
Baptista, R., Horne, K., Hilditch, R.W., Mason, K.O., Drew, J.E.: Hubble space telescope and R-band eclipse maps of the UX Ursae Majoris accretion disk. ApJ 448, 395 (1995)
Baptista, R., Horne, K., Wade, R.A., et al.: HST spatially resolved spectra of the accretion disc and gas stream of the nova-like variable UX Ursae Majoris. MNRAS 298, 1079 (1998)
Baptista, R., Morales-Rueda, L., Harlaftis, E.T., Marsh, T.R., Steeghs, D.: Tracing the spiral arms in IP Pegasi. A&A 444, 201 (2005)
Baptista, R., Santos, R.F., Faúndez-Abans, M., Bortoletto, A.: A study of the evolution of the accretion disk of V2051 Ophiuchi through two Outburst cycles. AJ 134, 867 (2007)
Baptista, R., Silveira, C., Steiner, J.E., Horne, K.: Spatially resolved spectra of the accretion disc of the nova-like variable UU Aquarii. MNRAS 314, 713 (2000)
Baptista, R., Steiner, J.E.: Accretion disk image reconstructions in V4140 SGR (NSV 12615). A&A 249, 284 (1991)
Baptista, R., Steiner, J.E.: Improving the eclipse mapping method. A&A 277, 331 (1993)
Baptista, R., Steiner, J.E., Horne, K.: Multicolour eclipse studies of UU Aquarii – II. The accretion disc. MNRAS 282, 99 (1996)
Bath, G.T.: Dynamical instabilities and mass exchange in binary systems. MNRAS 171, 311 (1975)
Bennie, P.J., Hilditch, R., Horne, K.: Decomposing interacting binary light curves: the eclipses of the mean light, secular variability and flickering in RW Tri, in Evans, A., Wood, J. (eds.) Cataclysmic Variables and Related Objects. IAU Coll., vol. 158, p. 33. Kluwer, Dordrecht (1996)
Bobinger, A., Horne, K., Mantel, K.H., Wolf, S.: Eclipse maps of the dwarf nova IP Peg on the decline from outburst. A&A 327, 1023 (1997)
Bobinger, A.: Genetic eclipse mapping and the advantage of Black Sheep. A&A 357, 1170 (2000)
Bruch, A.: Flickering in cataclysmic variables – its properties and origins. A&A 266, 237 (1992)
Bruch, A.: Studies of the flickering in cataclysmic variables. VI. The location of the flickering light source in HT Cassiopeiae, V2051 Ophiuchi, IP Pegasi and UX Ursae Majoris. A&A 359, 998 (2000)
Bruch, A., Beele, D., Baptista, R.: Multicolor photometry and eclipse mapping of OY Carinae in a superoutburst. A&A 306, 151 (1996)
Cannizzo, J.K.: The accretion disk limit cycle model: toward an understanding of the long-term behavior of SS Cygni. ApJ 419, 318 (1993)
La Dous, C.: Synthetic optical and ultraviolet spectra of stationary accretion disks. A&A 211, 131 (1989)
Feline, W.J., Dhillon, V.S., Marsh, T.R., Watson, C.A., Littlefair, S.P.: ULTRACAM photometry of the eclipsing cataclysmic variables GY Cnc, IR Com and HT Cas. MNRAS 364, 1158 (2005)
Garcia, A., Sodré, L., Jablonski, F.J., Terlevich, R.J.: Optical monitoring of quasars – I. Variability. MNRAS 309, 803 (1999)
Geertsema, G.T., Achterberg, A.: Turbulence in differentially rotating thin disks – a multi-component cascade model. A&A 255, 427 (1992)
Groot, P.J.: Optical Variability in Compact Source, PhD Thesis, University of Amsterdam (1999)
Harlaftis, E.T., Baptista, B., Morales-Rueda, L., Marsh, T.R., Steeghs, D.: Spiral shock detection on eclipse maps: simulations and observations. A&A 417, 1063 (2004)
Herbst, W., Shevchenko, K.S.: A photometric catalog of herbig AE/BE stars and discussion of the nature and cause of the variations of UX Orionis stars. AJ 118, 1043 (1999)
Hirose, M., Osaki, Y.: Hydrodynamic simulations of accretion disks in cataclysmic variables – superhump phenomenon in SU UMa stars. PASJ 42, 135 (1990)
Horne, K.: Images of accretion discs. I – The eclipse mapping method. MNRAS 213, 129 (1985)
Horne, K., Marsh, T.R.: Indirect imaging of accretion disks in binaries. In: Mason, K., Charles, P. (eds.) The Physics of Accretion onto Compact Objects, p. 1. Springer, Berlin (1986)
Horne, K.: Eclipse mapping of accretion disks: the first decade. In: Wheeler, J.C. (ed.) Accretion Disks in Compact Stellar Systems, p. 117. World Scientific Publ. Co., Singapore (1993)
Ioannou, Z., Naylor, T., Welsh, W.F., Catalán, M.S., Worraker, W.J., James, N.D.: The ‘outside-in’ outburst of HT Cassiopeiae. MNRAS 310, 398 (1999)
Kawaguchi, T., Mineshige, S., Machida, M., et al.: Temporal 1/fα fluctuations from fractal magnetic fields in black-hole accretion flow. PASJ 52, L1 (2000)
Knigge, C., Drew, J.E.: Eclipse mapping of the accretion disk wind in the cataclysmic variable UX Ursae Majoris. ApJ 486, 445 (1997)
Knigge, C., Long, K.S., Wade, R.A., et al.: Hubble space telescope eclipse observations of the nova-like cataclysmic variable UX Ursae Majoris. ApJ 499, 414 (1998)
Lasota, J.P.: The disc instability model of dwarf novae and low-mass X-ray binary transients. New Astron. Rev. 45, 449 (2001)
Long, K.S., Wade, R.A., Blair, W.P., Davidsen, A.F., Hubeny, I.: Observations of the bright novalike variable IX Velorum with the Hopkins ultraviolet telescope. ApJ 426, 704 (1994)
Lubow, S.H.: Impact-driven eccentricity in accretion disks. ApJ 432, 224 (1994)
Meyer, F., Meyer-Hofmeister, E.: Vertical structure of accretion disks. A&A 106, 34 (1982)
O’Donoghue, D.: Observational evidence for tidal effects in cataclysmic variable accretion discs. MNRAS 246, 29 (1990)
Robinson, E.L., Wood, J.E., Wade, R.A.: Application of realistic model atmospheres to eclipse maps of accretion disks: the effective temperature and flare of the disk in the dwarf nova Z Chamaeleontis. ApJ 514, 952 (1999)
Rolfe, D., Haswell, C.A., Patterson, J.: Superhumps in V348 Pup. MNRAS 317, 759 (2000)
Rutten, R.G.M., Dhillon, V.S., Horne, K., Kuulkers, E., van Paradijs, J.: Spectrally resolved eclipse maps of the accretion disk in UX Ursae Majoris. Nature 362, 518 (1993)
Rutten, R.G.M., Dhillon, V.K.: Roche tomography: imaging the stars in interacting binaries. A&A 288, 773 (1994)
Rutten, R.G.M., Dhillon, V.S., Horne, K., Kuulkers, E.: Spectral eclipse mapping of the accretion disk in the nova-like variable UX Ursae Majoris. A&A 283, 441 (1994)
Rutten, R.G.M.: 3D eclipse mapping. A&AS 127, 581 (1998)
Rutten, R.G.M., Kuulkers, E., Vogt, N., van Paradijs, J.: OY Carinae revisited – development of the accretion disk during a normal outburst. A&A 265, 159 (1992)
Rutten, R.G.M., van Paradijs, J., Tinbergen, J.: Reconstruction of the accretion disk in six cataclysmic variable stars. A&A 260, 213 (1992)
Saito, R.K., Baptista, R.: Hubble space telescope faint object spectrograph spectral mapping of V2051 Ophiuchi in a low state. AJ 131, 2185 (2006)
Shakura, N.I., Sunyaev, R.A.: Black holes in binary systems. Observational appearance. A&A 24, 337 (1973)
Shu, F.H.: Mass transfer in semi-detached binaries. In: Eggleton, P., Mitton, S., Whelan, J. (eds.) Structure and Evolution of Close Binary Systems, p. 253. D. Reidel Pub. Co., Dordrecht (1976)
Skilling, J., Bryan, R.K.: Maximum entropy image reconstruction – general algorithm. MNRAS 211, 111 (1984)
Skilling, J.: Theory of maximum entropy image reconstruction. In: Justice, J.H. (ed.) Maximum Entropy and Bayesian Methods in Applied Statistics, p. 156. Cambridge University Press, Cambridge (1987)
Spruit, H.C.: Fast eclipse mapping. A&A 289, 441 (1994)
Steeghs, D., Harlaftis, E.T., Horne, K.: Spiral structure in the accretion disc of the binary IP Pegasi. MNRAS 290, L28 (1997)
Warner, B.: Cataclysmic Variable Stars. Cambridge University Press, Cambridge (1995)
Wade, R.A.: A test of synthetic accretion disk spectra using ultraviolet flux distributions of novalike variables. ApJ 335, 394 (1988)
Warner, B., Nather, R.E.: Observations of rapid blue variables – II. U Geminorum. MNRAS 152, 219 (1971)
Warner, B., O’Donoghue, D.: High-speed photometry of Z Chamaleontis during outbursts. MNRAS 233, 705 (1988)
Whitehurst, R.: Numerical simulations of accretion disks. I – Superhumps – a tidal phenomenon of accretion disks. MNRAS 232, 35 (1988)
Wood, J.H.: Eclipse mapping of accretion discs in cataclysmic variables. In: Shafter, A.W. (ed.) Interacting Binary Stars. ASP Conference Series, vol. 56, p. 48. ASP, San Francisco (1994)
Acknowledgements
RB acknowledges financial support from CNPq/Brazil through grant no. 308 946/2011-1.
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Baptista, R. (2016). Eclipse Mapping: Astrotomography of Accretion Discs. In: Boffin, H., Hussain, G., Berger, JP., Schmidtobreick, L. (eds) Astronomy at High Angular Resolution. Astrophysics and Space Science Library, vol 439. Springer, Cham. https://doi.org/10.1007/978-3-319-39739-9_9
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