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This article is cited in 9 scientific papers (total in 9 papers)
Mathematical physics
Sensitivity of the Euler–Poinsot tensor values to the choice of the body surface triangulation mesh
A. A. Burovab, V. I. Nikonovab a Dorodnitsyn Computing Center, Russian Academy of Sciences, Moscow, 119991 Russia
b National Research University Higher Scholl of Economics, Moscow, 101000 Russia
Abstract:
The inertial characteristics of celestial bodies can be calculated using their triangle partitions based on photometric observations. Such partitions can be refined along with the accumulation of necessary information. In this regard, the question arises to what extent the approximations of the inertial characteristics of celestial bodies, in particular, the approximations of the components of the Euler–Poinsot tensor of different orders, are susceptible to the choice of such partitions. Such components enter into the expansion of the gravitational potential in harmonic polynomials. In this paper, for some small celestial bodies, a comparison of such coefficients is carried out as coarse partitions are replaced with finer ones.
Key words:
approximation of gravitational potential, Euler–Poinsot tensor.
Received: 03.02.2020 Revised: 03.02.2020 Accepted: 07.06.2020
Citation:
A. A. Burov, V. I. Nikonov, “Sensitivity of the Euler–Poinsot tensor values to the choice of the body surface triangulation mesh”, Zh. Vychisl. Mat. Mat. Fiz., 60:10 (2020), 1764–1776; Comput. Math. Math. Phys., 60:10 (2020), 1708–1720
Linking options:
https://www.mathnet.ru/eng/zvmmf11149 https://www.mathnet.ru/eng/zvmmf/v60/i10/p1764
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Abstract page: | 98 | References: | 13 |
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