Investigation Limb darkening for short period AB Andromeda eclipsing binary star
DOI:
https://doi.org/10.25156/ptj.v13i1.696Keywords:
Eclipsing binary, AB Andromeda and Limb darkening.Abstract
This work deal with characterizing the limb darkening coefficients for the short period binary stars AD Andromeda to determine the size, luminosities and masses of the Individual stars as well as orbital size and orientation of the binary system. Calculate limb darkening for monochromatic pass bounds, the visual rang i.e. intermediate (uvby) have been calculated and broad bands to the near infrared. Also compute bolometric limb darkening coefficients for a linear as well as nonlinear logarithmic and square root limb darkening law as function of surface effective temperatures covering a wide range and surface gravities. By using the interpolation program of Vanhamme.
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References
Alebcar, S. H. and Vaz, L. P. 1999. LD coefficients of illuminated Atmospheres I. Results for
illuminated line – Blanketed modules. J. of Astron Astrophys Suppl. 135(3): 555-563.
Al- Naimiy, H. M. K. Jabbar, S. R. Fleyeh, H. A. and Al- Razzaz, J. M. 1989. Fourier analysis of
the light charges of eclipsing variables in the frequency domain. J. of Atrophy’s apace
sciences, 159(2)279-288.
Al-Naimiy, H. 1978. Linearized of limb darkening coefficients for use in Analysis of Eclipsing
binary light curves. J. of Astrophys space Sciences, 53(5): 181-192.
Awadalla, N.S. 2016. Period Variation Study and Light Curve Analysis of the Eclipsing Binary
GSC 02013-00288. J. of Applied Mathematics and Nonlinear Sciences, 1(2): 321–334.
Barban, C. and et al. 2003. New Grids of AtlAS9 Astrospheres. II. Limb darkening Coefficients
for the Stromgren photometric system for A-F stars. J. of Astron Atrophy, 6(2): 405-416.
Biller, S. Karats, Y. Demircan, O. and Eker, Z. 2005. Kinematics of W major’s type Binaries
and evidence of the two types of formulation. J. of Astron Soc. 357(5): 497-507.
Beian Kane “Limb darkening”. http//www.madsci.org.
Binnendijk, L. 1959. Photometric light curve of V566 ophiuchi and AB Andromeda. J. of
Astron, 64(1): 65.
Bonanos, A. 2006. Eclipsing binaries: tools for calibrating the extragalactic distance scale.
Symposium, 240: 22.
Brown, T. M. and et. al. 2001. Hubble space Telescope time series photometry of the transiting
planet of HD 209458. APJ. 552: 464-477.
Budding, E. and Najim, N. 1980. The system RR Ori and consistency of photometric Analysis
of eclipsing binary light curve. J. of Astrophys space science, 72(3): 369-376.
Chun-Hwey, K. and et al. 2014. BD Andromeda: A new short- period RS CVn eclipsing binary
star with a distant tertiary in a highly eccentric orbit. J. of the Astrophysical, 788:134: 22-
Claret, A. and Gimenez, A. 1990a. Limb darkening for cooler stars – standard and irradiated
models. J. of Astron Atrophy, 230(7): 412-425.
Claret, A. 1998. Comprehensive tables for the interpretation and modeling of the light curves of
eclipsing binaries. J. of Astron Astrophys suppl. 131(2): 395-404.
Claret, A. 2000b. A new nonlinear limb darkening low for LTE stellar Atmosphere models. J. of
Astron Atrophy, 363(9): 1081-1093.
Claret, A. 2003. A new nonlinear limb darkening low for LTE stellar Atmosphere models. J. of
Astron Atrophy, 401(5): 567-574.
Donald, R. S. Jerome A. O. Gur W. and William F. W. 2018. Accurate Computation of Light
Curves and the Resister–McLaughlin Effect in Multi body Eclipsing Systems. The
Astronomical Journal, 156(297): 48-63.
Diaz – cordoves, J. and Gimennez, A. 1992. A new nonlinear approximation to the Darkening of
hot stars. J. of Astron, 75(8): 175-183.
Diaz – Cordoves, J. Claret, A. and Gimene, z. 1995. A linear and nonlinear limb darkening
coefficients for LTE model Atmospheres. J. of astronomy and astrophysics (A &A), 110(3):
-340.
Dominik, M. 2005. Lenz binaries versus Limb darkening in close impact galactic micro lensing
events. J. of Astron. Soc. 361(4): 300-310.
Erdem A., Özkarde B. in 2009. Photometric analysis of the contact binary star V842 Hercules
on the basis of seasonal light curves. J. of New Astronomy 14: 321–329.
Edward, G. 2017. New Low-mass Eclipsing Binary Systems in Praesepe Discovered by K2. J. of
The Astrophysical, 849:11(1): 25-38.
Etazl, P.B. and Milone, E. F. 2003. Light curve modeling of Eclipsing binary stars system,
springer – Verlag, 12(3): 113-121.
Gemenez, A. 1985. General Relativistic periastron Advances in eclipsing binary system. J. of
Astrophysical, part1: ISSN 0004-637X) 297(3): 405-412.
Guthnick, p. and prager, R. 1927. Photometric light curve of AB Andromeda. J. of Astron,
Nachr, 229(3): 455-462.
Hasanzadeh, A. Jassur, D. M. and Kermani, M. H. 2008. Period changes and light curve
analysis of eclipsing binary AB Andromedae. J. of Astrophys Space Science. 317(4): 71–77
Helen, R. L. 2020. Study of Eclipsing Binaries: Light Curves & O-C Diagrams Interpretation. J.
of Galaxies, 8(2): 78-93.
Heyrovsky, D. 2003. Measuring stellar limb darkening by Gravitational micro lensing “(2003)
APJ. 594: 463-471.
Ian, D. H. 2011. On stellar limb darkening and explanatory transits. J. of Mon. Not. R. Astron.
Soc, 2(3):1–9
John William, G. 2006. The facts on file dictionary of astronomy. Market those books Ltd.
P.512.
Maupome, L. and et. al 1991. Photoelectric observations of W Uma stars: u pegasi and AB
Andromeda. J. of Astron Astros’s, 22(3) p. 235-246.
Menon, A. and et al. 2020. Detailed evolutionary models of massive contact binaries I. Model
grids and synthetic populations for the Magellanic Clouds. J. of MNRAS, 000: 1–21.
Mline, E. A. 1921. Radiiative equilibrium in the Outer Layers of a star. Mon. Not. R Astron
(MNRS), Soc. 81(3): 361-369.
Michael, R. 2003. high precision limb darkening measurement for binary stars.
hppt://www.limb.Darkening.html//.
Lucy, L. B. 1967. Gravity darkening for stars with convective Envelopes. J. of Zeitschrift four
Astrophysics, 65(6): 89-96.
Oster Hoff, P. T. 1950. On the variation in the period of AB Andromeda. J. of Bull. Astron. Inst.
Netherlands, 11(2): 217-225.
Perrtman, J. 1997. The HIPPARCOS catalogue. J. of astronomy and astrophysics (A &A),
(4): 49-62.
Sobieski, S. and Kliglesmith, D. A. 1970. Nonlinear Limb darkening for the rarely type stars. J.
of Astron, 75(2): 175-181.
Van Hamme, W. 1993. New limb darkening coefficients of modeling binary star light curve. J.
of Astron, 106(4): 2096-2104.
Wade, R. A. Rucinski, S. M. 1985. Linear and Quadratic limb darkening coefficients for a large
Grid of LTE Model Atmospheres. J. of American Astron social, 60(5): 471-482.
Yamasaki, A. 1975. W Ursae majors stars: period spectral type relation and period change. J. of
Astrophysics and space science, 34(7):413-424.
Zeipel, H. V. 1924. Radiative equilibrium of a double-star system with nearly spherical
components. J. of Mon. Not. R. sci. 72(3): 702-715.
Alebcar, S. H. and Vaz, L. P. 1999. LD coefficients of illuminated Atmospheres I. Results for
illuminated line – Blanketed modules. J. of Astron Astrophys Suppl. 135(3): 555-563.
Al- Naimiy, H. M. K. Jabbar, S. R. Fleyeh, H. A. and Al- Razzaz, J. M. 1989. Fourier analysis of
the light charges of eclipsing variables in the frequency domain. J. of Atrophy’s apace
sciences, 159(2)279-288.
Al-Naimiy, H. 1978. Linearized of limb darkening coefficients for use in Analysis of Eclipsing
binary light curves. J. of Astrophys space Sciences, 53(5): 181-192.
Awadalla, N.S. 2016. Period Variation Study and Light Curve Analysis of the Eclipsing Binary
GSC 02013-00288. J. of Applied Mathematics and Nonlinear Sciences, 1(2): 321–334.
Barban, C. and et al. 2003. New Grids of AtlAS9 Astrospheres. II. Limb darkening Coefficients
for the Stromgren photometric system for A-F stars. J. of Astron Atrophy, 6(2): 405-416.
Biller, S. Karats, Y. Demircan, O. and Eker, Z. 2005. Kinematics of W major’s type Binaries
and evidence of the two types of formulation. J. of Astron Soc. 357(5): 497-507.
Beian Kane “Limb darkening”. http//www.madsci.org.
Binnendijk, L. 1959. Photometric light curve of V566 ophiuchi and AB Andromeda. J. of
Astron, 64(1): 65.
Bonanos, A. 2006. Eclipsing binaries: tools for calibrating the extragalactic distance scale.
Symposium, 240: 22.
Brown, T. M. and et. al. 2001. Hubble space Telescope time series photometry of the transiting
planet of HD 209458. APJ. 552: 464-477.
Budding, E. and Najim, N. 1980. The system RR Ori and consistency of photometric Analysis
of eclipsing binary light curve. J. of Astrophys space science, 72(3): 369-376.
Chun-Hwey, K. and et al. 2014. BD Andromeda: A new short- period RS CVn eclipsing binary
star with a distant tertiary in a highly eccentric orbit. J. of the Astrophysical, 788:134: 22-
Claret, A. and Gimenez, A. 1990a. Limb darkening for cooler stars – standard and irradiated
models. J. of Astron Atrophy, 230(7): 412-425.
Claret, A. 1998. Comprehensive tables for the interpretation and modeling of the light curves of
eclipsing binaries. J. of Astron Astrophys suppl. 131(2): 395-404.
Claret, A. 2000b. A new nonlinear limb darkening low for LTE stellar Atmosphere models. J. of
Astron Atrophy, 363(9): 1081-1093.
Claret, A. 2003. A new nonlinear limb darkening low for LTE stellar Atmosphere models. J. of
Astron Atrophy, 401(5): 567-574.
Donald, R. S. Jerome A. O. Gur W. and William F. W. 2018. Accurate Computation of Light
Curves and the Resister–McLaughlin Effect in Multi body Eclipsing Systems. The
Astronomical Journal, 156(297): 48-63.
Diaz – cordoves, J. and Gimennez, A. 1992. A new nonlinear approximation to the Darkening of
hot stars. J. of Astron, 75(8): 175-183.
Diaz – Cordoves, J. Claret, A. and Gimene, z. 1995. A linear and nonlinear limb darkening
coefficients for LTE model Atmospheres. J. of astronomy and astrophysics (A &A), 110(3):
-340.
Dominik, M. 2005. Lenz binaries versus Limb darkening in close impact galactic micro lensing
events. J. of Astron. Soc. 361(4): 300-310.
Erdem A., Özkarde B. in 2009. Photometric analysis of the contact binary star V842 Hercules
on the basis of seasonal light curves. J. of New Astronomy 14: 321–329.
Edward, G. 2017. New Low-mass Eclipsing Binary Systems in Praesepe Discovered by K2. J. of
The Astrophysical, 849:11(1): 25-38.
Etazl, P.B. and Milone, E. F. 2003. Light curve modeling of Eclipsing binary stars system,
springer – Verlag, 12(3): 113-121.
Gemenez, A. 1985. General Relativistic periastron Advances in eclipsing binary system. J. of
Astrophysical, part1: ISSN 0004-637X) 297(3): 405-412.
Guthnick, p. and prager, R. 1927. Photometric light curve of AB Andromeda. J. of Astron,
Nachr, 229(3): 455-462.
Hasanzadeh, A. Jassur, D. M. and Kermani, M. H. 2008. Period changes and light curve
analysis of eclipsing binary AB Andromedae. J. of Astrophys Space Science. 317(4): 71–77
Helen, R. L. 2020. Study of Eclipsing Binaries: Light Curves & O-C Diagrams Interpretation. J.
of Galaxies, 8(2): 78-93.
Heyrovsky, D. 2003. Measuring stellar limb darkening by Gravitational micro lensing “(2003)
APJ. 594: 463-471.
Ian, D. H. 2011. On stellar limb darkening and explanatory transits. J. of Mon. Not. R. Astron.
Soc, 2(3):1–9
John William, G. 2006. The facts on file dictionary of astronomy. Market those books Ltd.
P.512.
Maupome, L. and et. al 1991. Photoelectric observations of W Uma stars: u pegasi and AB
Andromeda. J. of Astron Astros’s, 22(3) p. 235-246.
Menon, A. and et al. 2020. Detailed evolutionary models of massive contact binaries I. Model
grids and synthetic populations for the Magellanic Clouds. J. of MNRAS, 000: 1–21.
Mline, E. A. 1921. Radiiative equilibrium in the Outer Layers of a star. Mon. Not. R Astron
(MNRS), Soc. 81(3): 361-369.
Michael, R. 2003. high precision limb darkening measurement for binary stars.
hppt://www.limb.Darkening.html//.
Lucy, L. B. 1967. Gravity darkening for stars with convective Envelopes. J. of Zeitschrift four
Astrophysics, 65(6): 89-96.
Oster Hoff, P. T. 1950. On the variation in the period of AB Andromeda. J. of Bull. Astron. Inst.
Netherlands, 11(2): 217-225.
Perrtman, J. 1997. The HIPPARCOS catalogue. J. of astronomy and astrophysics (A &A),
(4): 49-62.
Sobieski, S. and Kliglesmith, D. A. 1970. Nonlinear Limb darkening for the rarely type stars. J.
of Astron, 75(2): 175-181.
Van Hamme, W. 1993. New limb darkening coefficients of modeling binary star light curve. J.
of Astron, 106(4): 2096-2104.
Wade, R. A. Rucinski, S. M. 1985. Linear and Quadratic limb darkening coefficients for a large
Grid of LTE Model Atmospheres. J. of American Astron social, 60(5): 471-482.
Yamasaki, A. 1975. W Ursae majors stars: period spectral type relation and period change. J. of
Astrophysics and space science, 34(7):413-424.
Zeipel, H. V. 1924. Radiative equilibrium of a double-star system with nearly spherical
components. J. of Mon. Not. R. sci. 72(3): 702-715.
Alebcar, S. H. and Vaz, L. P. 1999. LD coefficients of illuminated Atmospheres I. Results for
illuminated line – Blanketed modules. J. of Astron Astrophys Suppl. 135(3): 555-563.
Al- Naimiy, H. M. K. Jabbar, S. R. Fleyeh, H. A. and Al- Razzaz, J. M. 1989. Fourier analysis of
the light charges of eclipsing variables in the frequency domain. J. of Atrophy’s apace
sciences, 159(2)279-288.
Al-Naimiy, H. 1978. Linearized of limb darkening coefficients for use in Analysis of Eclipsing
binary light curves. J. of Astrophys space Sciences, 53(5): 181-192.
Awadalla, N.S. 2016. Period Variation Study and Light Curve Analysis of the Eclipsing Binary
GSC 02013-00288. J. of Applied Mathematics and Nonlinear Sciences, 1(2): 321–334.
Barban, C. and et al. 2003. New Grids of AtlAS9 Astrospheres. II. Limb darkening Coefficients
for the Stromgren photometric system for A-F stars. J. of Astron Atrophy, 6(2): 405-416.
Biller, S. Karats, Y. Demircan, O. and Eker, Z. 2005. Kinematics of W major’s type Binaries
and evidence of the two types of formulation. J. of Astron Soc. 357(5): 497-507.
Beian Kane “Limb darkening”. http//www.madsci.org.
Binnendijk, L. 1959. Photometric light curve of V566 ophiuchi and AB Andromeda. J. of
Astron, 64(1): 65.
Bonanos, A. 2006. Eclipsing binaries: tools for calibrating the extragalactic distance scale.
Symposium, 240: 22.
Brown, T. M. and et. al. 2001. Hubble space Telescope time series photometry of the transiting
planet of HD 209458. APJ. 552: 464-477.
Budding, E. and Najim, N. 1980. The system RR Ori and consistency of photometric Analysis
of eclipsing binary light curve. J. of Astrophys space science, 72(3): 369-376.
Chun-Hwey, K. and et al. 2014. BD Andromeda: A new short- period RS CVn eclipsing binary
star with a distant tertiary in a highly eccentric orbit. J. of the Astrophysical, 788:134: 22-
Claret, A. and Gimenez, A. 1990a. Limb darkening for cooler stars – standard and irradiated
models. J. of Astron Atrophy, 230(7): 412-425.
Claret, A. 1998. Comprehensive tables for the interpretation and modeling of the light curves of
eclipsing binaries. J. of Astron Astrophys suppl. 131(2): 395-404.
Claret, A. 2000b. A new nonlinear limb darkening low for LTE stellar Atmosphere models. J. of
Astron Atrophy, 363(9): 1081-1093.
Claret, A. 2003. A new nonlinear limb darkening low for LTE stellar Atmosphere models. J. of
Astron Atrophy, 401(5): 567-574.
Donald, R. S. Jerome A. O. Gur W. and William F. W. 2018. Accurate Computation of Light
Curves and the Resister–McLaughlin Effect in Multi body Eclipsing Systems. The
Astronomical Journal, 156(297): 48-63.
Diaz – cordoves, J. and Gimennez, A. 1992. A new nonlinear approximation to the Darkening of
hot stars. J. of Astron, 75(8): 175-183.
Diaz – Cordoves, J. Claret, A. and Gimene, z. 1995. A linear and nonlinear limb darkening
coefficients for LTE model Atmospheres. J. of astronomy and astrophysics (A &A), 110(3):
-340.
Dominik, M. 2005. Lenz binaries versus Limb darkening in close impact galactic micro lensing
events. J. of Astron. Soc. 361(4): 300-310.
Erdem A., Özkarde B. in 2009. Photometric analysis of the contact binary star V842 Hercules
on the basis of seasonal light curves. J. of New Astronomy 14: 321–329.
Edward, G. 2017. New Low-mass Eclipsing Binary Systems in Praesepe Discovered by K2. J. of
The Astrophysical, 849:11(1): 25-38.
Etazl, P.B. and Milone, E. F. 2003. Light curve modeling of Eclipsing binary stars system,
springer – Verlag, 12(3): 113-121.
Gemenez, A. 1985. General Relativistic periastron Advances in eclipsing binary system. J. of
Astrophysical, part1: ISSN 0004-637X) 297(3): 405-412.
Guthnick, p. and prager, R. 1927. Photometric light curve of AB Andromeda. J. of Astron,
Nachr, 229(3): 455-462.
Hasanzadeh, A. Jassur, D. M. and Kermani, M. H. 2008. Period changes and light curve
analysis of eclipsing binary AB Andromedae. J. of Astrophys Space Science. 317(4): 71–77
Helen, R. L. 2020. Study of Eclipsing Binaries: Light Curves & O-C Diagrams Interpretation. J.
of Galaxies, 8(2): 78-93.
Heyrovsky, D. 2003. Measuring stellar limb darkening by Gravitational micro lensing “(2003)
APJ. 594: 463-471.
Ian, D. H. 2011. On stellar limb darkening and explanatory transits. J. of Mon. Not. R. Astron.
Soc, 2(3):1–9
John William, G. 2006. The facts on file dictionary of astronomy. Market those books Ltd.
P.512.
Maupome, L. and et. al 1991. Photoelectric observations of W Uma stars: u pegasi and AB
Andromeda. J. of Astron Astros’s, 22(3) p. 235-246.
Menon, A. and et al. 2020. Detailed evolutionary models of massive contact binaries I. Model
grids and synthetic populations for the Magellanic Clouds. J. of MNRAS, 000: 1–21.
Mline, E. A. 1921. Radiiative equilibrium in the Outer Layers of a star. Mon. Not. R Astron
(MNRS), Soc. 81(3): 361-369.
Michael, R. 2003. high precision limb darkening measurement for binary stars.
hppt://www.limb.Darkening.html//.
Lucy, L. B. 1967. Gravity darkening for stars with convective Envelopes. J. of Zeitschrift four
Astrophysics, 65(6): 89-96.
Oster Hoff, P. T. 1950. On the variation in the period of AB Andromeda. J. of Bull. Astron. Inst.
Netherlands, 11(2): 217-225.
Perrtman, J. 1997. The HIPPARCOS catalogue. J. of astronomy and astrophysics (A &A),
(4): 49-62.
Sobieski, S. and Kliglesmith, D. A. 1970. Nonlinear Limb darkening for the rarely type stars. J.
of Astron, 75(2): 175-181.
Van Hamme, W. 1993. New limb darkening coefficients of modeling binary star light curve. J.
of Astron, 106(4): 2096-2104.
Wade, R. A. Rucinski, S. M. 1985. Linear and Quadratic limb darkening coefficients for a large
Grid of LTE Model Atmospheres. J. of American Astron social, 60(5): 471-482.
Yamasaki, A. 1975. W Ursae majors stars: period spectral type relation and period change. J. of
Astrophysics and space science, 34(7):413-424.
Zeipel, H. V. 1924. Radiative equilibrium of a double-star system with nearly spherical
components. J. of Mon. Not. R. sci. 72(3): 702-715.
Alebcar, S. H. and Vaz, L. P. 1999. LD coefficients of illuminated Atmospheres I. Results for
illuminated line – Blanketed modules. J. of Astron Astrophys Suppl. 135(3): 555-563.
Al- Naimiy, H. M. K. Jabbar, S. R. Fleyeh, H. A. and Al- Razzaz, J. M. 1989. Fourier analysis of
the light charges of eclipsing variables in the frequency domain. J. of Atrophy’s apace
sciences, 159(2)279-288.
Al-Naimiy, H. 1978. Linearized of limb darkening coefficients for use in Analysis of Eclipsing
binary light curves. J. of Astrophys space Sciences, 53(5): 181-192.
Awadalla, N.S. 2016. Period Variation Study and Light Curve Analysis of the Eclipsing Binary
GSC 02013-00288. J. of Applied Mathematics and Nonlinear Sciences, 1(2): 321–334.
Barban, C. and et al. 2003. New Grids of AtlAS9 Astrospheres. II. Limb darkening Coefficients
for the Stromgren photometric system for A-F stars. J. of Astron Atrophy, 6(2): 405-416.
Biller, S. Karats, Y. Demircan, O. and Eker, Z. 2005. Kinematics of W major’s type Binaries
and evidence of the two types of formulation. J. of Astron Soc. 357(5): 497-507.
Beian Kane “Limb darkening”. http//www.madsci.org.
Binnendijk, L. 1959. Photometric light curve of V566 ophiuchi and AB Andromeda. J. of
Astron, 64(1): 65.
Bonanos, A. 2006. Eclipsing binaries: tools for calibrating the extragalactic distance scale.
Symposium, 240: 22.
Brown, T. M. and et. al. 2001. Hubble space Telescope time series photometry of the transiting
planet of HD 209458. APJ. 552: 464-477.
Budding, E. and Najim, N. 1980. The system RR Ori and consistency of photometric Analysis
of eclipsing binary light curve. J. of Astrophys space science, 72(3): 369-376.
Chun-Hwey, K. and et al. 2014. BD Andromeda: A new short- period RS CVn eclipsing binary
star with a distant tertiary in a highly eccentric orbit. J. of the Astrophysical, 788:134: 22-
Claret, A. and Gimenez, A. 1990a. Limb darkening for cooler stars – standard and irradiated
models. J. of Astron Atrophy, 230(7): 412-425.
Claret, A. 1998. Comprehensive tables for the interpretation and modeling of the light curves of
eclipsing binaries. J. of Astron Astrophys suppl. 131(2): 395-404.
Claret, A. 2000b. A new nonlinear limb darkening low for LTE stellar Atmosphere models. J. of
Astron Atrophy, 363(9): 1081-1093.
Claret, A. 2003. A new nonlinear limb darkening low for LTE stellar Atmosphere models. J. of
Astron Atrophy, 401(5): 567-574.
Donald, R. S. Jerome A. O. Gur W. and William F. W. 2018. Accurate Computation of Light
Curves and the Resister–McLaughlin Effect in Multi body Eclipsing Systems. The
Astronomical Journal, 156(297): 48-63.
Diaz – cordoves, J. and Gimennez, A. 1992. A new nonlinear approximation to the Darkening of
hot stars. J. of Astron, 75(8): 175-183.
Diaz – Cordoves, J. Claret, A. and Gimene, z. 1995. A linear and nonlinear limb darkening
coefficients for LTE model Atmospheres. J. of astronomy and astrophysics (A &A), 110(3):
-340.
Dominik, M. 2005. Lenz binaries versus Limb darkening in close impact galactic micro lensing
events. J. of Astron. Soc. 361(4): 300-310.
Erdem A., Özkarde B. in 2009. Photometric analysis of the contact binary star V842 Hercules
on the basis of seasonal light curves. J. of New Astronomy 14: 321–329.
Edward, G. 2017. New Low-mass Eclipsing Binary Systems in Praesepe Discovered by K2. J. of
The Astrophysical, 849:11(1): 25-38.
Etazl, P.B. and Milone, E. F. 2003. Light curve modeling of Eclipsing binary stars system,
springer – Verlag, 12(3): 113-121.
Gemenez, A. 1985. General Relativistic periastron Advances in eclipsing binary system. J. of
Astrophysical, part1: ISSN 0004-637X) 297(3): 405-412.
Guthnick, p. and prager, R. 1927. Photometric light curve of AB Andromeda. J. of Astron,
Nachr, 229(3): 455-462.
Hasanzadeh, A. Jassur, D. M. and Kermani, M. H. 2008. Period changes and light curve
analysis of eclipsing binary AB Andromedae. J. of Astrophys Space Science. 317(4): 71–77
Helen, R. L. 2020. Study of Eclipsing Binaries: Light Curves & O-C Diagrams Interpretation. J.
of Galaxies, 8(2): 78-93.
Heyrovsky, D. 2003. Measuring stellar limb darkening by Gravitational micro lensing “(2003)
APJ. 594: 463-471.
Ian, D. H. 2011. On stellar limb darkening and explanatory transits. J. of Mon. Not. R. Astron.
Soc, 2(3):1–9
John William, G. 2006. The facts on file dictionary of astronomy. Market those books Ltd.
P.512.
Maupome, L. and et. al 1991. Photoelectric observations of W Uma stars: u pegasi and AB
Andromeda. J. of Astron Astros’s, 22(3) p. 235-246.
Menon, A. and et al. 2020. Detailed evolutionary models of massive contact binaries I. Model
grids and synthetic populations for the Magellanic Clouds. J. of MNRAS, 000: 1–21.
Mline, E. A. 1921. Radiiative equilibrium in the Outer Layers of a star. Mon. Not. R Astron
(MNRS), Soc. 81(3): 361-369.
Michael, R. 2003. high precision limb darkening measurement for binary stars.
hppt://www.limb.Darkening.html//.
Lucy, L. B. 1967. Gravity darkening for stars with convective Envelopes. J. of Zeitschrift four
Astrophysics, 65(6): 89-96.
Oster Hoff, P. T. 1950. On the variation in the period of AB Andromeda. J. of Bull. Astron. Inst.
Netherlands, 11(2): 217-225.
Perrtman, J. 1997. The HIPPARCOS catalogue. J. of astronomy and astrophysics (A &A),
(4): 49-62.
Sobieski, S. and Kliglesmith, D. A. 1970. Nonlinear Limb darkening for the rarely type stars. J.
of Astron, 75(2): 175-181.
Van Hamme, W. 1993. New limb darkening coefficients of modeling binary star light curve. J.
of Astron, 106(4): 2096-2104.
Wade, R. A. Rucinski, S. M. 1985. Linear and Quadratic limb darkening coefficients for a large
Grid of LTE Model Atmospheres. J. of American Astron social, 60(5): 471-482.
Yamasaki, A. 1975. W Ursae majors stars: period spectral type relation and period change. J. of
Astrophysics and space science, 34(7):413-424.
Zeipel, H. V. 1924. Radiative equilibrium of a double-star system with nearly spherical
components. J. of Mon. Not. R. sci. 72(3): 702-715.
Alebcar, S. H. and Vaz, L. P. 1999. LD coefficients of illuminated Atmospheres I. Results for
illuminated line – Blanketed modules. J. of Astron Astrophys Suppl. 135(3): 555-563.
Al- Naimiy, H. M. K. Jabbar, S. R. Fleyeh, H. A. and Al- Razzaz, J. M. 1989. Fourier analysis of
the light charges of eclipsing variables in the frequency domain. J. of Atrophy’s apace
sciences, 159(2)279-288.
Al-Naimiy, H. 1978. Linearized of limb darkening coefficients for use in Analysis of Eclipsing
binary light curves. J. of Astrophys space Sciences, 53(5): 181-192.
Awadalla, N.S. 2016. Period Variation Study and Light Curve Analysis of the Eclipsing Binary
GSC 02013-00288. J. of Applied Mathematics and Nonlinear Sciences, 1(2): 321–334.
Barban, C. and et al. 2003. New Grids of AtlAS9 Astrospheres. II. Limb darkening Coefficients
for the Stromgren photometric system for A-F stars. J. of Astron Atrophy, 6(2): 405-416.
Biller, S. Karats, Y. Demircan, O. and Eker, Z. 2005. Kinematics of W major’s type Binaries
and evidence of the two types of formulation. J. of Astron Soc. 357(5): 497-507.
Beian Kane “Limb darkening”. http//www.madsci.org.
Binnendijk, L. 1959. Photometric light curve of V566 ophiuchi and AB Andromeda. J. of
Astron, 64(1): 65.
Bonanos, A. 2006. Eclipsing binaries: tools for calibrating the extragalactic distance scale.
Symposium, 240: 22.
Brown, T. M. and et. al. 2001. Hubble space Telescope time series photometry of the transiting
planet of HD 209458. APJ. 552: 464-477.
Budding, E. and Najim, N. 1980. The system RR Ori and consistency of photometric Analysis
of eclipsing binary light curve. J. of Astrophys space science, 72(3): 369-376.
Chun-Hwey, K. and et al. 2014. BD Andromeda: A new short- period RS CVn eclipsing binary
star with a distant tertiary in a highly eccentric orbit. J. of the Astrophysical, 788:134: 22-
Claret, A. and Gimenez, A. 1990a. Limb darkening for cooler stars – standard and irradiated
models. J. of Astron Atrophy, 230(7): 412-425.
Claret, A. 1998. Comprehensive tables for the interpretation and modeling of the light curves of
eclipsing binaries. J. of Astron Astrophys suppl. 131(2): 395-404.
Claret, A. 2000b. A new nonlinear limb darkening low for LTE stellar Atmosphere models. J. of
Astron Atrophy, 363(9): 1081-1093.
Claret, A. 2003. A new nonlinear limb darkening low for LTE stellar Atmosphere models. J. of
Astron Atrophy, 401(5): 567-574.
Donald, R. S. Jerome A. O. Gur W. and William F. W. 2018. Accurate Computation of Light
Curves and the Resister–McLaughlin Effect in Multi body Eclipsing Systems. The
Astronomical Journal, 156(297): 48-63.
Diaz – cordoves, J. and Gimennez, A. 1992. A new nonlinear approximation to the Darkening of
hot stars. J. of Astron, 75(8): 175-183.
Diaz – Cordoves, J. Claret, A. and Gimene, z. 1995. A linear and nonlinear limb darkening
coefficients for LTE model Atmospheres. J. of astronomy and astrophysics (A &A), 110(3):
-340.
Dominik, M. 2005. Lenz binaries versus Limb darkening in close impact galactic micro lensing
events. J. of Astron. Soc. 361(4): 300-310.
Erdem A., Özkarde B. in 2009. Photometric analysis of the contact binary star V842 Hercules
on the basis of seasonal light curves. J. of New Astronomy 14: 321–329.
Edward, G. 2017. New Low-mass Eclipsing Binary Systems in Praesepe Discovered by K2. J. of
The Astrophysical, 849:11(1): 25-38.
Etazl, P.B. and Milone, E. F. 2003. Light curve modeling of Eclipsing binary stars system,
springer – Verlag, 12(3): 113-121.
Gemenez, A. 1985. General Relativistic periastron Advances in eclipsing binary system. J. of
Astrophysical, part1: ISSN 0004-637X) 297(3): 405-412.
Guthnick, p. and prager, R. 1927. Photometric light curve of AB Andromeda. J. of Astron,
Nachr, 229(3): 455-462.
Hasanzadeh, A. Jassur, D. M. and Kermani, M. H. 2008. Period changes and light curve
analysis of eclipsing binary AB Andromedae. J. of Astrophys Space Science. 317(4): 71–77
Helen, R. L. 2020. Study of Eclipsing Binaries: Light Curves & O-C Diagrams Interpretation. J.
of Galaxies, 8(2): 78-93.
Heyrovsky, D. 2003. Measuring stellar limb darkening by Gravitational micro lensing “(2003)
APJ. 594: 463-471.
Ian, D. H. 2011. On stellar limb darkening and explanatory transits. J. of Mon. Not. R. Astron.
Soc, 2(3):1–9
John William, G. 2006. The facts on file dictionary of astronomy. Market those books Ltd.
P.512.
Maupome, L. and et. al 1991. Photoelectric observations of W Uma stars: u pegasi and AB
Andromeda. J. of Astron Astros’s, 22(3) p. 235-246.
Menon, A. and et al. 2020. Detailed evolutionary models of massive contact binaries I. Model
grids and synthetic populations for the Magellanic Clouds. J. of MNRAS, 000: 1–21.
Mline, E. A. 1921. Radiiative equilibrium in the Outer Layers of a star. Mon. Not. R Astron
(MNRS), Soc. 81(3): 361-369.
Michael, R. 2003. high precision limb darkening measurement for binary stars.
hppt://www.limb.Darkening.html//.
Lucy, L. B. 1967. Gravity darkening for stars with convective Envelopes. J. of Zeitschrift four
Astrophysics, 65(6): 89-96.
Oster Hoff, P. T. 1950. On the variation in the period of AB Andromeda. J. of Bull. Astron. Inst.
Netherlands, 11(2): 217-225.
Perrtman, J. 1997. The HIPPARCOS catalogue. J. of astronomy and astrophysics (A &A),
(4): 49-62.
Sobieski, S. and Kliglesmith, D. A. 1970. Nonlinear Limb darkening for the rarely type stars. J.
of Astron, 75(2): 175-181.
Van Hamme, W. 1993. New limb darkening coefficients of modeling binary star light curve. J.
of Astron, 106(4): 2096-2104.
Wade, R. A. Rucinski, S. M. 1985. Linear and Quadratic limb darkening coefficients for a large
Grid of LTE Model Atmospheres. J. of American Astron social, 60(5): 471-482.
Yamasaki, A. 1975. W Ursae majors stars: period spectral type relation and period change. J. of
Astrophysics and space science, 34(7):413-424.
Zeipel, H. V. 1924. Radiative equilibrium of a double-star system with nearly spherical
components. J. of Mon. Not. R. sci. 72(3): 702-715.
Alebcar, S. H. and Vaz, L. P. 1999. LD coefficients of illuminated Atmospheres I. Results for
illuminated line – Blanketed modules. J. of Astron Astrophys Suppl. 135(3): 555-563.
Al- Naimiy, H. M. K. Jabbar, S. R. Fleyeh, H. A. and Al- Razzaz, J. M. 1989. Fourier analysis of
the light charges of eclipsing variables in the frequency domain. J. of Atrophy’s apace
sciences, 159(2)279-288.
Al-Naimiy, H. 1978. Linearized of limb darkening coefficients for use in Analysis of Eclipsing
binary light curves. J. of Astrophys space Sciences, 53(5): 181-192.
Awadalla, N.S. 2016. Period Variation Study and Light Curve Analysis of the Eclipsing Binary
GSC 02013-00288. J. of Applied Mathematics and Nonlinear Sciences, 1(2): 321–334.
Barban, C. and et al. 2003. New Grids of AtlAS9 Astrospheres. II. Limb darkening Coefficients
for the Stromgren photometric system for A-F stars. J. of Astron Atrophy, 6(2): 405-416.
Biller, S. Karats, Y. Demircan, O. and Eker, Z. 2005. Kinematics of W major’s type Binaries
and evidence of the two types of formulation. J. of Astron Soc. 357(5): 497-507.
Beian Kane “Limb darkening”. http//www.madsci.org.
Binnendijk, L. 1959. Photometric light curve of V566 ophiuchi and AB Andromeda. J. of
Astron, 64(1): 65.
Bonanos, A. 2006. Eclipsing binaries: tools for calibrating the extragalactic distance scale.
Symposium, 240: 22.
Brown, T. M. and et. al. 2001. Hubble space Telescope time series photometry of the transiting
planet of HD 209458. APJ. 552: 464-477.
Budding, E. and Najim, N. 1980. The system RR Ori and consistency of photometric Analysis
of eclipsing binary light curve. J. of Astrophys space science, 72(3): 369-376.
Chun-Hwey, K. and et al. 2014. BD Andromeda: A new short- period RS CVn eclipsing binary
star with a distant tertiary in a highly eccentric orbit. J. of the Astrophysical, 788:134: 22-
Claret, A. and Gimenez, A. 1990a. Limb darkening for cooler stars – standard and irradiated
models. J. of Astron Atrophy, 230(7): 412-425.
Claret, A. 1998. Comprehensive tables for the interpretation and modeling of the light curves of
eclipsing binaries. J. of Astron Astrophys suppl. 131(2): 395-404.
Claret, A. 2000b. A new nonlinear limb darkening low for LTE stellar Atmosphere models. J. of
Astron Atrophy, 363(9): 1081-1093.
Claret, A. 2003. A new nonlinear limb darkening low for LTE stellar Atmosphere models. J. of
Astron Atrophy, 401(5): 567-574.
Donald, R. S. Jerome A. O. Gur W. and William F. W. 2018. Accurate Computation of Light
Curves and the Resister–McLaughlin Effect in Multi body Eclipsing Systems. The
Astronomical Journal, 156(297): 48-63.
Diaz – cordoves, J. and Gimennez, A. 1992. A new nonlinear approximation to the Darkening of
hot stars. J. of Astron, 75(8): 175-183.
Diaz – Cordoves, J. Claret, A. and Gimene, z. 1995. A linear and nonlinear limb darkening
coefficients for LTE model Atmospheres. J. of astronomy and astrophysics (A &A), 110(3):
-340.
Dominik, M. 2005. Lenz binaries versus Limb darkening in close impact galactic micro lensing
events. J. of Astron. Soc. 361(4): 300-310.
Erdem A., Özkarde B. in 2009. Photometric analysis of the contact binary star V842 Hercules
on the basis of seasonal light curves. J. of New Astronomy 14: 321–329.
Edward, G. 2017. New Low-mass Eclipsing Binary Systems in Praesepe Discovered by K2. J. of
The Astrophysical, 849:11(1): 25-38.
Etazl, P.B. and Milone, E. F. 2003. Light curve modeling of Eclipsing binary stars system,
springer – Verlag, 12(3): 113-121.
Gemenez, A. 1985. General Relativistic periastron Advances in eclipsing binary system. J. of
Astrophysical, part1: ISSN 0004-637X) 297(3): 405-412.
Guthnick, p. and prager, R. 1927. Photometric light curve of AB Andromeda. J. of Astron,
Nachr, 229(3): 455-462.
Hasanzadeh, A. Jassur, D. M. and Kermani, M. H. 2008. Period changes and light curve
analysis of eclipsing binary AB Andromedae. J. of Astrophys Space Science. 317(4): 71–77
Helen, R. L. 2020. Study of Eclipsing Binaries: Light Curves & O-C Diagrams Interpretation. J.
of Galaxies, 8(2): 78-93.
Heyrovsky, D. 2003. Measuring stellar limb darkening by Gravitational micro lensing “(2003)
APJ. 594: 463-471.
Ian, D. H. 2011. On stellar limb darkening and explanatory transits. J. of Mon. Not. R. Astron.
Soc, 2(3):1–9
John William, G. 2006. The facts on file dictionary of astronomy. Market those books Ltd.
P.512.
Maupome, L. and et. al 1991. Photoelectric observations of W Uma stars: u pegasi and AB
Andromeda. J. of Astron Astros’s, 22(3) p. 235-246.
Menon, A. and et al. 2020. Detailed evolutionary models of massive contact binaries I. Model
grids and synthetic populations for the Magellanic Clouds. J. of MNRAS, 000: 1–21.
Mline, E. A. 1921. Radiiative equilibrium in the Outer Layers of a star. Mon. Not. R Astron
(MNRS), Soc. 81(3): 361-369.
Michael, R. 2003. high precision limb darkening measurement for binary stars.
hppt://www.limb.Darkening.html//.
Lucy, L. B. 1967. Gravity darkening for stars with convective Envelopes. J. of Zeitschrift four
Astrophysics, 65(6): 89-96.
Oster Hoff, P. T. 1950. On the variation in the period of AB Andromeda. J. of Bull. Astron. Inst.
Netherlands, 11(2): 217-225.
Perrtman, J. 1997. The HIPPARCOS catalogue. J. of astronomy and astrophysics (A &A),
(4): 49-62.
Sobieski, S. and Kliglesmith, D. A. 1970. Nonlinear Limb darkening for the rarely type stars. J.
of Astron, 75(2): 175-181.
Van Hamme, W. 1993. New limb darkening coefficients of modeling binary star light curve. J.
of Astron, 106(4): 2096-2104.
Wade, R. A. Rucinski, S. M. 1985. Linear and Quadratic limb darkening coefficients for a large
Grid of LTE Model Atmospheres. J. of American Astron social, 60(5): 471-482.
Yamasaki, A. 1975. W Ursae majors stars: period spectral type relation and period change. J. of
Astrophysics and space science, 34(7):413-424.
Zeipel, H. V. 1924. Radiative equilibrium of a double-star system with nearly spherical
components. J. of Mon. Not. R. sci. 72(3): 702-715.
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