Some Polarigenic Mechanisms in Visual Studio .NET

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9 Some Polarigenic Mechanisms
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q1 D q2 D
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1 (sin 2 sin 2i)I u 1 D sin 2 sin i , 2 1 u 2 D sin2 cos i sin2 (1 C cos2 i) I 2
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(940) (941)
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Hence, the time-dependent behaviour of the NSPs may be written as q(t) D e q o 1 sin 2 sin 2i cos(2 t) 2 1 sin2 (1 C cos2 i) cos(4 t) 2 (942)
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and u(t) D e sin 2 sin i sin(2 t) C sin2 cos i sin(4 t) (943)
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It may be noted that both NSPs carry variations with components at the orbital frequency and its harmonic In principle then, by recording the temporal polarimetric behaviour of the system, the separate, individual values of i and can be determined, thus providing a means of decoupling the affects associated with the system s geometry and its aspects, highlighting the power of polarimetry over photometry Further expansion and discussion on this theme in relation to binary stars is reserved for 11
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References
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Stellar P larimetry Numerical simulation and rst observational results A&A, 225, 467 478 [184] Hanle, W (1924) ber magnetische Beein ussung der Polarisation der Resonanz uoreszenz Zeit Phys 30, 93 105 [185, 186] Ignace, R (2001) The Hanle Effect as a diagnostic of magnetic elds in stellar envelopes III Including the nite star depolarization effect ApJ, 547, 393 401 [188] Ignace, R, Nordsieck, KH Cassinelli, JP (1997) The Hanle Effect as a diagnostic of magnetic elds in stellar envelopes: I Theoretical results for integrated line pro les ApJ, 486, 550 570 [188, 188] Ignace, R, Cassinelli, JP, Nordsieck, KH (1999) The Hanle Effect as a diagnostic of magnetic elds in stellar envelopes: II Some theoretical results for resolved line pro les ApJ, 520, 335 346 [188] Ignace, R, Nordsieck, KH, Cassinelli, JP (2004) The Hanle Effect as a diagnostic of magnetic elds in stellar envelopes IV Applications to polarized P Cygni wind lines ApJ, 609, 1018 1034 [188] Jenkins, FA, White, HE (1965) Fundamentals of Optics, 3rd Edition (International Student Edition), McGraw-Hill, New York [176] Kemp, JC (1970) Circular polarization of thermal radiation in a magnetic eld ApJ, 162, 169 179 [179] Kemp, JC, Wolstencroft, RD, Swedlund, JB (1972) Circular polarimetry of fteen interesting objects ApJ, 177, 177 189 [179] Leroy, JL (1989) The spectral variation of polarization due to magnetic intensi cation A&A, 215, 360 370 [182, 183] Leroy, JL (1990) Broad-band polarization in crowded spectra A&A, 237, 237 242 [182] Longair, MS(1994) High energy astrophysics Vol: 2 Stars, the Galaxy and the Interstellar Medium, 2nd edition, Cambridge University Press, Cambridge [189] Rayleigh, Lord (1922) Polarization of light scattered by mercury vapour near the resonance periodicity Proc R Soc London, 102, 190 196 [185] Redman, RO (1941) Observational search for polarisation in the calcium line 4227 near the Sun s limb MNRAS, 101, 266 272 [187] Rybicki, GB, Lightman, AP (1979) Radiative Processes in Astrophysics, John Wiley & Sons, New York [189] Schmid, HM (1989) Identi cation of emission bands 6830, 7088 A&A, 211, L31 L34 [185] Schmid, HM, Schild, H (1994) Raman scattered emission lines in symbiotic stars: a spectropolarimetric survey A&A, 281, 145 160 [185] Semel M (1989) Zeeman Doppler imaging of active stars I Basic principles A&A, 225, 456 466 [184, 183] Semel, M, Donati, J-F, Rees, DE (1993) Zeeman Doppler imaging of active stars III Instrumental and technical considerations A&A, 278, 231 237 [184] Sten o, JO, Keller, CU (1997) The second solar spectrum A new window for diagnostics of the Sun A&A, 321, 927 934 [188] Sent o, JO, Twerenbold, D, Harvey, JW (1983) Coherent scattering in the solar spectrum: survey of linear polarization in the range 3165 4230 A&AS, 52, 161 180 [187] Sten o, JO, Twerenbold, D, Harvey, JW, Brault, JW (1983) Coherent scattering in the solar spectrum: survey of linear polarization in the range 4200 9950 A&AS, 54, 505 514 [188] Strutt, RJ [Lord Rayleigh] (1915) Observations on the uorescence and resonance of sodium vapour II Proc R Soc London, 91, 511 523 [185] Tanberg-Hanssen, E (1974) Polarization of solar emission lines pp 730 751 in Planets, Stars and Nebulae studied with Photopolarimetry, Ed T Gehrels, University of Arizona, Tucson, AZ [187] Warwick, JW (1951) Absorption-line polarization in magnetic stars AJ, 56, 50 51 [182] Wood, RW (1905) The uorescence of sodium vapour and the resonance radiation of electrons Proc Phys Soc London, 19, 764 778 [185] Wood, RW, Ellett, A (1923) On the in uence of magnetic elds on the polarization of resonance radiation Proc R Soc London, Series A, 103, 396 403 [185]
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