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A method for spherical harmonic analysis of Compton – Getting corrected 3-d energetic particle distributions

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Abstract

A method is described whereby a particle distribution measured by a number of telescopes (four in this application), observing the whole sky, mounted upon a spinning spacecraft, can be resolved into a set of spherical harmonics. The coefficients of the expansion are used to estimate the anisotropy of the particles and components of the anisotropy in different frames of reference (e.g., solar wind frame, RTN frame, spacecraft frame, etc.) for specific energy channels. For the transformation of the distribution function between frames of reference moving each other, the respective Compton–Getting correction is performed by a new geometrical approach. The respective energy change is also evaluated.

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References

  • Beeck, J., Mason, G. M., Hamilton, D. C., Wibberenz, G., Kunow, H., Hovestadt, D., and Kleckers, B.: 1987, Astrophys. J. 322, 1052.

    Google Scholar 

  • Burden, R. L., Faires, J. D., and Reynolds, A. C.: 1981, Numerical Analysis, Wadsworth International, Boston.

  • Compton. A. H. and Getting, I. A.: 1935, Phys. Rev. 47, 817.

    Google Scholar 

  • Forman, M. A.: 1970, Planetary Space Science 18, 25.

    Google Scholar 

  • Gleeson, L. J. and Axford, W. I.: 1968, Astrophys. Space Sci. 2, 431.

    Google Scholar 

  • Gold, R. E., Bostrom, C. O., Roelof, E. C. and Williams, D. J.: 1975, Proc. 14th Int Cosmic Ray Conf. 5, 1801.

    Google Scholar 

  • Ipavich, F. M.: 1974, Geoph. Res. Lett. 1, 149.

    Google Scholar 

  • Keppler, E., Blake, B., Fischer, K., Korth, A., Richter, A. K. and Umlauft, G.: 1989, The Ulysses Data Book, Max-Planck-Institut für Aeronomie, Lindau, Germany.

    Google Scholar 

  • Keppler, E., Blake, B., Hovestadt, D., Korth, A., Quenby, J. J., Richter, Umlauft, G. and Woch, J.: 1992, Astron. Astrophys. Suppl. 92, 317.

    Google Scholar 

  • Krupp, N., Keppler, E., Fränz, M., Balogh, A. and Dougherty, M. K.: 1993, Planetary Space Sci. 41, 953.

    Google Scholar 

  • Mason, G. M. Ng, C. K., Klecker, B. and Green, G.: 1989, Astrophys. J. 339, 529.

    Google Scholar 

  • Maxwell, J.: 1891, A Treatise on Electricity and Magnetism, Clarendon Press, Oxford.

    Google Scholar 

  • Reuss, M. K., Keppler, E., Fränz, M., Witte, N., Krupp, N., Wilken, B., Balogh, A., Forsyth, R. J., Moussas, X., Polygiannakis, J. M., Kakouris, A. D. and Alevizos, A.: 1995, Space Sci. Rev. 72, 343.

    Google Scholar 

  • Sanahuja, B., Heras, A. M. and Lario, D.: 1995, Proc. of the Second SOLTIP Symposium STEP CBRSCNEWS, Vol. 5, special issue.

  • Sanderson, T. R. and Hynds, R.: 1977, Planetary Space Sci. 25, 799.

    Google Scholar 

  • Sanderson, T. R. and Page, D. E.: 1974, Nucl. Instr. Methods 119, 177.

    Google Scholar 

  • Sanderson, T. R., Reinhard, R. and Wenzel, K. P.: 1981, J. Geophys. Res. 86, 4425.

    Google Scholar 

  • Sanderson, T. R., Reinhard, R., van Ness, P. and Wenzel, K. P.: 1985a, J. Geophys. Res. 90, 19.

    Google Scholar 

  • Sanderson, T. R., Reinhard, R., van Ness, P., Wenzel, K. P., Smith, E. J. and Tsurutani, B. T.: 1985b, J. Geophys. Res. 90, 3973.

    Google Scholar 

  • Scholer, M.: 1987, in V. J. Pizzo, T. E. Holzer (eds.), Proc. of 6th International Solar Wind Conference, NCAR, Boulder, p. 465.

    Google Scholar 

  • Stratton, J. A.: 1941, Electromagnetic Theory, McGraw-Hill Book Co., New York.

    Google Scholar 

  • Tan, L. C., Mason, G. M., Gloeckler, G. and Ipavich, F. M.: 1988, J. Geophys. Res 93, 7225.

    Google Scholar 

  • Tan, L. C., Mason, G. M., Gloeckler, G. and Klecker, B.: 1992a, J. Geophys. Res. 97, 179.

    Google Scholar 

  • Tan, L. C., Mason, C. M., Lee, M. A., Klecker, B. and Ipavich, F. M.: 1992b, J. Geophys. Res. 97, 1597.

    Google Scholar 

  • Wyld, H. W.: 1976, Mathematical Methods for Physics, W. A. Benjamin Inc., New York.

    Google Scholar 

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Alevizos, A., Polygiannakis, J., Kakouris, A. et al. A method for spherical harmonic analysis of Compton – Getting corrected 3-d energetic particle distributions. Solar Physics 186, 401–412 (1999). https://doi.org/10.1023/A:1005145021168

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