The application of Beale's measure of nonlinearity in problems of estimating the parameters of asteroids motion | Izvestiya vuzov. Fizika. 2020. № 12. DOI: 10.17223/00213411/63/12/96

The application of Beale's measure of nonlinearity in problems of estimating the parameters of asteroids motion

The transformation of the nonlinearity estimation algorithm proposed by Beale for use in asteroid problems is performed. Beale's algorithm was tested on model and real asteroids. It is shown that this algorithm gives underestimates of nonlinearity. Modifications of the Beale's measure of nonlinearity are considered to improve its accuracy.

Download file
Counter downloads: 76

Keywords

least squares problem, nonlinearity, asteroids

Authors

NameOrganizationE-mail
Syusina O.M.National Research Tomsk State Universitykleo77@sibmail.com
Tamarov V.A.National Research Tomsk State Universityvat25@mail.ru
Всего: 2

References

Beale E.M.L. // J. R. Statist. Soc. - 1960. - V. 22. - Iss. 1. - P. 41-88.
Bates D.M. and Watts D.G. // J. R. Stat. Soc. B. Methodological. - 1980. - V. 42. - Iss. 1. - P. 1-25.
Syusina O.M., Chernitsov A.M., and Tamarov V.A. // Solar System Res. - 2012. - V. 46. - No. 3. - P. 195-207.
Сюсина О.М., Черницов А.М., Тамаров В.А. // Изв. вузов. Физика. - 2014. - Т. 57. - № 12. - С. 139-145.
Avdyushev V.A. // Celest Mech. Dyn. Astron. - 2011. - V. 110. - No. 4. - P. 369-388.
Guttman I. and Meeter D.A. // Technometrics. - 1965. - V. 7. - P. 623-637.
Linssen H.N. // Statist. Neerland. - 1975. - V. 29. - P. 93-99.
Chernitsov A.M., Tamarov V.A., and Barannikov Ye.A. // Solar System Res. - 2017. - V. 51. - No. 5. - P. 400-408.
Черницов А.М., Дубас О.М., Тамаров В.А. // Изв. вузов. Физика. - 2006. - Т. 49. - № 2/2. - С. 44-51.
Бард Й. Нелинейное оценивание параметров. - М.: Статистика, 1979. - 349 с.
Баранников Е.А., Сюсина О.М., Черницов А.М., Тамаров В.А. // Изв. вузов. Физика. - 2013. - Т. 56. - № 10/2. - С. 119-125.
 The application of Beale's measure of nonlinearity in problems of estimating the parameters of asteroids motion | Izvestiya vuzov. Fizika. 2020. № 12. DOI: 10.17223/00213411/63/12/96

The application of Beale's measure of nonlinearity in problems of estimating the parameters of asteroids motion | Izvestiya vuzov. Fizika. 2020. № 12. DOI: 10.17223/00213411/63/12/96