Posts by Maria Crăciun


This paper deals with the light travel time effect in binary systems with variable components. The methods for estimation of the orbital elements relying on the parameters obtained through Fourier decomposition of the respective timing / O − C data, are reviewed. Some new formulae are derived and some qualitative remarks on the adopted methodology are discussed. Finally, some issues related to the presence of time gaps in the analysed data and to the case of noisy data are addressed.


Alexandru Pop
Astronomical Institute, Astronomical Observatory Cluj-Napoca, Romanian Academy

Maria Crăciun
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Mihai  Bărbosu
Rochester Institute of Technology, School of Mathematical Sciences, New York, USA


Variable stars; Binary systems; Data analysis.

Paper coordinates

A. Pop, M. Crăciun, M. Bărbosu, On the determination of the orbital elements in the light travel time effect, Romanian Astron. J., 32 (2022) no. 1, pp. 59-71.


About this paper


Romanian Astronomical Journal

Publisher Name

Editura Academiei Romane

Print ISSN


Online ISSN


google scholar link

[1] Arfken, G. 1970, Mathematical Methods for Physicists, Second Edition, Academic Press, New York Borkovits, T., Hegedus, T.: 1996, Astron. Astrophys. Suppl. , 120, 63
[2] Borkovits, T., Rappaport, S., Hajdu, T., Sztakovics, J.: 2015, Mon. Not. Roy. Astron. Soc. , 448, 946 Brouwer, D., Clemence, G.M.: 1961, Methods in Celestial Mechanics, Academic Press, New York and London
[3] Bulut, I., As¸kın, G., 2022, New. Astron., 90, 101668 (12 pp.)
[4] Burki, G., Meylan, G., 1986, Astron. Astrophys. , 156, 131
[5] De Sitter, A., 1933, Bull. Astron. Inst. Netherlands, 7, 119
[6] Esmer, E.M., Bas¸turk, O., Hinse, T.C., Selam, S.O., Correia, A.C.M.: 2021, Astron. Astrophys. , 648, id. A85, (22 pp.)
[7] Hamming, R.W., 1986, Numerical Methods for Scientists and Engineers, Second Edition, Dover Publications, Inc., New York
[8] He, J.-J., Wang, J.-J., Qian, S.-B., 2012, Pub. Astron. Soc. Japan , 64, 85
[9] Hinse, T.C., Horner, J., Wittenmyer, R. A., 2014a, J. Astron. Space. Sci., 31, 187
[10] Hinse, T.C., Gozdziewski, K., Lee, J.W., Haghighipour, N., Lee, C.-U., 2012a, Astron. J. , 144, 34 (10 pp.)
[11] Hinse, T.C., Lee, J. W., Gozdziewski, K., Haghighipour, N., Lee, C.-U., Scullion, E. M., 2012b, Mon. Not. Roy. Astron. Soc. , 420, 3609
[12] Hinse, T.C., Horner, J., Lee, J.W., Wittenmyer, R.A., Lee, C.-U., Park, J.-H., Marshall, J.P., 2014b, Astron. Astrophys. , 565, A104 (8 pp.)
[13] Irwin, J.B., 1952, Astrophys. J. , 116, 211
[14] Irwin, J.B., 1959, Astron. J. , 64, 149
[15] Konacki, M., Maciejewski, A.J., 1996, Icarus, 122, 347
[16] Konacki, M., Maciejewski, A.J., 1999, Mon. Not. Roy. Astron. Soc. , 308, 167
[17] Kopal, Z., 1959, Close Binary Systems, Chapman-Hall and John Wiley, London and New York
[18] Kopal, Z., 1978, Dynamics of Close Binary Systems, D. Reidel Publishing Company, Dordrecht
[19]Lee, J.W., Hong, K., Hinse, T.C., 2015, Astron. J. , 149:93 (7 pp.)
[20] Lee, J.W., Hinse, T.C., Youn, J.-H., Han, W., 2014, Mon. Not. Roy. Astron. Soc. , 445, 2331
[21] Pop, A., 1996, Romanian Astron. J. , 6, 147
[22] Pop, A., 1998, PhD Thesis, Astronomical Institute of the Romanian Academy, Bucharest
[23] Pop, A., 1999, Romanian Astron. J. , 9, 131
[24] Pop, A., 2000, Metode de analiza si interpretare a variabilitatii stelare, Casa Cartii de Stiinta, Cluj- ˘Napoca
[25] Pop, A., Turcu, V., Codreanu, S.,  2004, Astrophys. Space Sci. , 293, 393
[26] Pop, A., Craciun, M., Mocanu, G., Vamos¸, C., 2017, Astrophys. Space Sci. , 362, 76
[27] Simon, N.R., Lee, A.S., 1981, Astrophys. J. , 248, 291
[28] Townsend, G.E., Tamburro, M.B., 1968, Guidance, Flight Mechanics and Trajectory Optimization, Vol. III, The Two-Body Problem, NASA CR-1002, Washington, D.C.
[29] Woltjer, J., 1922, Bull. Astron. Inst. Netherlands, 1, 93

Related Posts

Automatic Trend Estimation

Book summaryOriginal automatic algorithms for processing nonstationary time series containing a stationary noise superposed over a nonmonotonic trend are presented.…

On a class of approximation operators

AbstractIn this note we construct a class of approximation operators using polynomial sequences of binomial type. We compute the expression…