Artículo
Zadunaisky, P.E. "Small Perturbations on Artificial Satellites as an Inverse Problem" (2003) IEEE Transactions on Aerospace and Electronic Systems. 39(4):1270-1276
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Abstract:
The geocentric motion of a satellite is mathematically simulated by a system of second order ordinary differential equations involving two perturbing functions. The first one represents the second term of the gravitational potential of the Earth and the second is due to the atmospheric drag. Assuming that the solutions of the differential equations and their first derivatives are known from measurements, a stepwise computation of the perturbations is made through a deterministic method. Two examples illustrate our method. In a real case our method should help to design an appropriate maneuver to correct the motion of a satellite.
Registro:
| Documento: | Artículo |
| Título: | Small Perturbations on Artificial Satellites as an Inverse Problem |
| Autor: | Zadunaisky, P.E. |
| Filiación: | University of Buenos Aires, Argentina Departamento de Matemática, Ciudad Universitaria, Pabellón I, (1428) Buenos Aires, Argentina |
| Palabras clave: | Taylor expansion; Computer simulation; Differential equations; Drag; Gravitational effects; Integral equations; Inverse problems; Measurement errors; Motion control; Perturbation techniques; Polynomial approximation; Vectors; Satellite communication systems |
| Año: | 2003 |
| Volumen: | 39 |
| Número: | 4 |
| Página de inicio: | 1270 |
| Página de fin: | 1276 |
| DOI: | http://dx.doi.org/10.1109/TAES.2003.1261127 |
| Título revista: | IEEE Transactions on Aerospace and Electronic Systems |
| Título revista abreviado: | IEEE Trans. Aerosp. Electron. Syst. |
| ISSN: | 00189251 |
| CODEN: | IEARA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00189251_v39_n4_p1270_Zadunaisky |
Referencias:
- Kantorovich, L.V., Krilov, V.I., (1964) Approximate Methods of Higher Analysis, , New York: Interscience Publishers, 1964, ch. II
- Zadunaisky, P.E., A method for the estimation of small perturbations (1983) The Motion of Planets and Natural and Artificial Satellites, pp. 91-102. , S. Ferraz Mello and P. Nacozy (Eds.), Universidade de Sao Paulo, 1983
- Zadunaisky, P.E., On the estimation of small perturbations in ordinary differential equations (1983) Numerical Treatment of Inverse Problems in Differential Equations, pp. 62-72. , P. Deuflhard and E. Hairer (Eds.), Boston: Birkhauser, 1983
- Rodríguez, R., Zadunaisky, P.E., A stable method to estimate perturbations in differential equations (1986) Comp. Math. with Appls., 12 B (1986), pp. 1275-1286
- Rodríguez, R., (1987) Estimations or Perturbations in Ordinary Differential Equations, , (in Spanish), Doctoral thesis in Applied Mathematics, Faculty of Exact Sciences, National University of La Plata, Argentina, 1987
- Brunini, A., (1988) Numerical Estimations of Perturbations in Celestial Mechanics, , (in Spanish), Doctoral thesis in Astronomy, Faculty of Astronomical and Geophysical Sciences, National University of La Plata, Argentina, 1988
- Zadunaisky, P.E., Sánchez Peña, R.S., Estimation of small perturbations in an inertial sensor (1988) AIAA Journal of Guidance, Control and Dynamics, 11 (1988), pp. 167-172
- Zadunaisky, P.E., The inverse problem in ordinary differential equations (1989) Proceedings of a Conference on Computational Ordinary Differential Equations, , University of London, Oxford: Clarendon Press, 1989
Citas:
---------- APA ----------
(2003) . Small Perturbations on Artificial Satellites as an Inverse Problem. IEEE Transactions on Aerospace and Electronic Systems, 39(4), 1270-1276.http://dx.doi.org/10.1109/TAES.2003.1261127
---------- CHICAGO ----------
Zadunaisky, P.E. "Small Perturbations on Artificial Satellites as an Inverse Problem" . IEEE Transactions on Aerospace and Electronic Systems 39, no. 4 (2003) : 1270-1276.http://dx.doi.org/10.1109/TAES.2003.1261127
---------- MLA ----------
Zadunaisky, P.E. "Small Perturbations on Artificial Satellites as an Inverse Problem" . IEEE Transactions on Aerospace and Electronic Systems, vol. 39, no. 4, 2003, pp. 1270-1276.http://dx.doi.org/10.1109/TAES.2003.1261127
---------- VANCOUVER ----------
Zadunaisky, P.E. Small Perturbations on Artificial Satellites as an Inverse Problem. IEEE Trans. Aerosp. Electron. Syst. 2003;39(4):1270-1276.http://dx.doi.org/10.1109/TAES.2003.1261127
