Artículo
Zadunaisky, P.E.; Giordano, C.M. "Universal formulation for the N-body problem" (1996) Journal of Guidance, Control, and Dynamics. 19(4):921-928
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Abstract:
The universal formulation for the perturbed two-body problem is generalized to cover all gravitational N-body problems involving a dominant central mass. Its efficiency, when compared to conventional numerical integration, is shown in several examples. The convergence and numerical stability of the method is discussed, and a universal state transition matrix is obtained, which can be used either in a process of differential correction of an orbit or, as in the present case, to obtain an accurate estimation of global errors.
Registro:
| Documento: | Artículo |
| Título: | Universal formulation for the N-body problem |
| Autor: | Zadunaisky, P.E.; Giordano, C.M. |
| Filiación: | Comn. Nac. de Actividades Espaciales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Universidad Nacional de La Plata, 1900 La Plata, Argentina Comn. Nac. de Actividades Espaciales, Fac. Cs. Exactas, Universidad de Buenos Aires PROFOEG, Fac. de Cie. Astronomicas y Geofis. |
| Palabras clave: | Convergence of numerical methods; Equations of motion; Errors; Gravitation; Lagrange multipliers; Matrix algebra; Numerical methods; Orbits; Parameter estimation; Vectors; Velocity; Perturbed two body problem; Universal formulation; Universal state transition matrix; Aerodynamics |
| Año: | 1996 |
| Volumen: | 19 |
| Número: | 4 |
| Página de inicio: | 921 |
| Página de fin: | 928 |
| DOI: | http://dx.doi.org/10.2514/3.21719 |
| Título revista: | Journal of Guidance, Control, and Dynamics |
| Título revista abreviado: | J Guid Control Dyn |
| ISSN: | 07315090 |
| CODEN: | JGCOD |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07315090_v19_n4_p921_Zadunaisky |
Referencias:
- Zadunaisky, P.E., Giordano, C.M., Universal Formulation for the Perturbed Two-Body Problem (1990) Journal of Guidance, Control, and Dynamics, 13 (6), pp. 1109-1116
- Battin, R., (1987) An Introduction to the Mathematics and Methods of Astrodynamics, pp. 175-190. , AIAA, New York, Chap. 4
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- Slumpff, K., (1962) Calculation of Ephemerides from Initial Values, , NASA Rept. D-1415, Dec
- Giordano, C.M., (1991) Formulacion Universal Y Regularizada para El Problema General de N Cuerpos (Universal and Regularized Formulation for the General Problem of N Bodies), , Ph.D. Thesis, Univ. of La Plata, Argentina
- Sundman, K., Memoire sur le Probleme des Trois Corps (1912) Acta Mathematica, 36, p. 105
- Stiefel, E.L., Scheifele, G., (1971) Linear and Regular Celestial Mechanics, pp. 141-150. , Springer-Verlag, Berlin, Chap. 7
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- Moulton, F.R., (1914) An Introduction to Celestial Mechanics, pp. 313-318. , Macmillan, New York, Chap. 8
- Zadunaisky, P.E., On the Accuracy in the Solution of the N-Body Problem (1979) Celestial Mechanics, 20 (3), pp. 209-230
- Oesterwinter, C., Cohen, C., New Orbital Elements for Moon and Planets (1972) Celestial Mechanics, 5 (3)
- Everhart, E., An Efficient Integrator that Uses Gauss-Radau Spacings (1984) Proceedings of the International Astronomical Union, , Colloquium 83, edited by A. Carusi and G. B. Valsecchi, D. Reidel, Dordrecht, The Netherlands
- Broewer, D., Clemence, G.M., (1961) Methods of Celestial Mechanics, pp. 176-186. , Academic, New York, Chap. 5
- Sconzo, P., Explicit Expressions for the 36 Terms of a Jacobian Matrix used in Orbit Computation (1963) Mem. As. Astron. Italiana, 34 (2), pp. 217-229
Citas:
---------- APA ----------
Zadunaisky, P.E. & Giordano, C.M. (1996) . Universal formulation for the N-body problem. Journal of Guidance, Control, and Dynamics, 19(4), 921-928.http://dx.doi.org/10.2514/3.21719
---------- CHICAGO ----------
Zadunaisky, P.E., Giordano, C.M. "Universal formulation for the N-body problem" . Journal of Guidance, Control, and Dynamics 19, no. 4 (1996) : 921-928.http://dx.doi.org/10.2514/3.21719
---------- MLA ----------
Zadunaisky, P.E., Giordano, C.M. "Universal formulation for the N-body problem" . Journal of Guidance, Control, and Dynamics, vol. 19, no. 4, 1996, pp. 921-928.http://dx.doi.org/10.2514/3.21719
---------- VANCOUVER ----------
Zadunaisky, P.E., Giordano, C.M. Universal formulation for the N-body problem. J Guid Control Dyn. 1996;19(4):921-928.http://dx.doi.org/10.2514/3.21719
