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An Easy-to-Use Model for the Optical Thickness and Ambient Illumination within Cometary Dust Comae

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Cometary Science after Hale-Bopp

Abstract

We define a procedure which allows estimation of the optical thickness of a cometary dust coma and the ambient illumination of the nucleus for any given comet, if estimates of the nucleus radius and the dust activity (A f ρ) are available. The calculation is performed for a singly scattering coma with a cos(ϑ) distribution of dust over its day side. We find that the ambient illumination is of the same order as the incident sunlight if the optical thickness is of order one. The optical thickness increases, all else equal, Linearly with the nucleus radius. Therefore the effect of the presence of the coma may be neglected for small(≈ 1 km diameter) comets, but is important for comets such as 1P/Halley and Hale-Bopp.

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References

  • A’Hearn, M. F., Millis, R. L., Schleicher, D. G., Osip, D. J., and Birch, P. V.: 1995, `The Ensemble Properties of Comets: Results from Narrowband Photometry of 85 Comets, 1976–1992’, Icarus 118, 223–270.

    Article  ADS  Google Scholar 

  • A’Hearn, M. F., Schleicher, D. G., Feldman, P. D., Millis, R. L., and Thompson, D. T.: 1984, `Comet Rowell 1980b’, Astron. J. 89, 579–591.

    Article  ADS  Google Scholar 

  • Churyumov, K. I., Kleshchonok, V. V., and Kravtsov, F. I.: 1997, Narrowband Electrophotometry of Comet Hale-Bopp (C/1995 OD’, Earth Moon Planets 78, 155–160.

    Article  ADS  Google Scholar 

  • Divine, N.: 1981, `A Simple Radiation Model of Cometary Dust of P/Halley’, ESA SP 174, 25–30.

    Google Scholar 

  • Enzian, A., Cabot, H., and Klinger, J.: 1998, `Simulation of the Water and Carbon Monoxide Production Rates of Comet Hale-Bopp Using a Quasi 3-D Nucleus Model’, Planet. Space Sci. 46, 851–858.

    Article  ADS  Google Scholar 

  • Fanale, F. P. and Salvail, J. R.: 1984, `In Idealized Short-Period Comet Model: Surface Insolation H2 O Flux, Dust Flux and Mantle Evolution’, Icarus 60, 476–511.

    Article  ADS  Google Scholar 

  • Farnham, T. and Schleicher, D. G.: 1997, `Comet 46P/Wirtanen’, IAUC 6595.

    Google Scholar 

  • Fernandez, J. A., Trancredi, G., Rickman, H., and Licandro, J.: 1999, `The Populations, Magnitudes, and Sizes of Jupiter Family Comets’, Astron. Astrophys. 352, 327–340.

    Google Scholar 

  • Hellmich, R.: 1981, `The Influence of the Radiation Transfer in Cometary Dust Halos on the Production Rates of Gas and Dust’, Astron. Astrophys. 93, 341–346.

    ADS  Google Scholar 

  • Hellmich, R. and Keller, H. U.: 1981, `On the Visibility of Nuclei of Dusty Comets’, Icarus 47, 325–332.

    Article  ADS  Google Scholar 

  • Herman, G. and Salo, H.: 1987, `Light Scattering in Cometary Dust Comae’, Earth Moon Planets 39, 51–74.

    Article  ADS  Google Scholar 

  • Landgraf, M., Müller, M., and Grün, E.: 1999, `Prediction of the In-Situ Dust Measurements of the Stardust Mission to Comet 81P/Wild 2’, Planet. Space Sci. 47, 1029–1050.

    Article  ADS  Google Scholar 

  • Marconi, M. L. and Mendis, D. A.: 1984, `The Effects of the Diffuse Radiation Fields Due to Multiple Scattering and Thermal Reradiation by Dust on the Dynamics and Thermodynamics of a Dusty Cometary Atmosphere’, Astrophys. J. 287, 445–454.

    Article  ADS  Google Scholar 

  • Müller, M: 1999, ‘A Model of the Inner Coma of Comets with Applications to the Comets P/Wirtanen nad P/Wild 2’, Ph.D. Thesis, Ruprecht-Karls-Universität, Heidelberg, Germany.

    Google Scholar 

  • Salo, H.: 1988, `Monte Carlo Modeling of the Net Effects of Coma Scattering and Thermal Reradiation on the Energy Input to Cometary Nucleus’, Icarus 76, 253–269.

    Article  ADS  Google Scholar 

  • Schleicher, D. G., Lederer, S. M., Millis, R. L., and Farnham, T. L.: 1997, `Photometric Behavior of Comet Hale-Bopp (C/1995 01) Before Perihelion’, Science 275, 1913–1915.

    Article  ADS  Google Scholar 

  • Schleicher, D. G., Millis, R. L., and Birch, P. V.: 1998, Narrowband Photometry of Comet P/Halley: Variation with Heliocentric Distance, Season, and Solar Phase Angle’, Icarus 132, 397–417.

    Article  ADS  Google Scholar 

  • Weaver, H. A. and Lamy, P. A.: 1997, Estimating the Size of Hale-Bopp’s Nucleus, Earth Moon Planets 79, 17–33.

    Article  ADS  Google Scholar 

  • Weissman, P. R. and Kieffer, H. H.: 1981. H.: 1981, `Thermal Modeling of Cometary Nuclei’, Icarus 47, 30 2311.

    Google Scholar 

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© 2002 Springer Science+Business Media Dordrecht

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Müller, M., Green, S.F., Mcbride, N. (2002). An Easy-to-Use Model for the Optical Thickness and Ambient Illumination within Cometary Dust Comae. In: Boehnhardt, H., Combi, M., Kidger, M.R., Schulz, R. (eds) Cometary Science after Hale-Bopp. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1088-6_10

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  • DOI: https://doi.org/10.1007/978-94-017-1088-6_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6156-0

  • Online ISBN: 978-94-017-1088-6

  • eBook Packages: Springer Book Archive

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