On the accuracy of approximation of motion of a small celestial body by intermediate perturbed orbits calculated on the basis of three position vectors and three observations
| Parent link: | Solar System Research Vol. 50, iss. 3.— 2016.— [P. 204-210] |
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| Özet: | Title screen Intermediate perturbed orbits, which were proposed earlier by the first author and are calculated based on three position vectors and three measurements of angular coordinates of a small celestial body, are examined. Provided that the reference time interval encompassing the measurements is short, these orbits are close in the accuracy of approximation of actual motion to an orbit with fourth-order tangency. The shorter the reference time interval is, the better is the approximation. The laws of variation of the errors of methods for constructing such intermediate orbits with the length of the reference time interval are formulated. According to these laws, the rate of convergence of the methods to an exact solution in the process of shortening of the reference time interval is, in general, three orders of magnitude higher than that of conventional methods relying on an unperturbed Keplerian orbit. The considered orbits are among the most accurate of their class that is defined by the order of tangency. The obtained theoretical results are verified by numerical experiments on determining the orbit of 99942 Apophis. Режим доступа: по договору с организацией-держателем ресурса |
| Dil: | İngilizce |
| Baskı/Yayın Bilgisi: |
2016
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| Konular: | |
| Online Erişim: | http://dx.doi.org/10.1134/S0038094616030060 |
| Materyal Türü: | Elektronik Kitap Bölümü |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=644715 |
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| 200 | 1 | |a On the accuracy of approximation of motion of a small celestial body by intermediate perturbed orbits calculated on the basis of three position vectors and three observations |f V. A. Shefer, O. V. Shefer | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 5 tit.] | ||
| 330 | |a Intermediate perturbed orbits, which were proposed earlier by the first author and are calculated based on three position vectors and three measurements of angular coordinates of a small celestial body, are examined. Provided that the reference time interval encompassing the measurements is short, these orbits are close in the accuracy of approximation of actual motion to an orbit with fourth-order tangency. The shorter the reference time interval is, the better is the approximation. The laws of variation of the errors of methods for constructing such intermediate orbits with the length of the reference time interval are formulated. According to these laws, the rate of convergence of the methods to an exact solution in the process of shortening of the reference time interval is, in general, three orders of magnitude higher than that of conventional methods relying on an unperturbed Keplerian orbit. The considered orbits are among the most accurate of their class that is defined by the order of tangency. The obtained theoretical results are verified by numerical experiments on determining the orbit of 99942 Apophis. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Solar System Research | ||
| 463 | |t Vol. 50, iss. 3 |v [P. 204-210] |d 2016 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a небесные тела | |
| 610 | 1 | |a возмущенные орбиты | |
| 610 | 1 | |a аппроксимация | |
| 700 | 1 | |a Shefer |b V. A. |g Vladimir Aleksandrovich | |
| 701 | 1 | |a Shefer |b O. V. |c specialist in the field of informatics and computer engineering |c associate professor of Tomsk Polytechnic University, candidate of physico-mathematical sciences |f 1960- |g Olga Vladimirovna |3 (RuTPU)RU\TPU\pers\33726 |9 17357 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет (ТПУ) |b Институт социально-гуманитарных технологий (ИСГТ) |b Кафедра истории и регионоведения (ИСТ) |3 (RuTPU)RU\TPU\col\18372 |
| 801 | 2 | |a RU |b 63413507 |c 20170216 |g RCR | |
| 856 | 4 | |u http://dx.doi.org/10.1134/S0038094616030060 | |
| 942 | |c CF | ||