Formulation of equations of motion for complex spacecraft

Journal of Guidance, Control, and Dynamics

Volumn 3, Issue 2, 1980, Pages 99-112

  Kane, Thomas R ^a   Levinson, David A ^b  

^a STANFORD UNIVERSITY   (United States)

^b LOCKHEED MARTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SPACECRAFT;

EID: 0018995426     PISSN: 07315090     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.55956     Document Type: Article

References (12)

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2. D’Alembert, J.L., Traité de Dynamique, Chez David l'aîné, Paris, 1743, pp. 1-48.
3. Lagrange, J.L., Mèchanique Analitique, Chez la Veuve Desaint, Paris, 1788, p. 226.
4. Hamilton, W.R., “Second Essay on a General Method in Dynamics,” Philosophical Transactions of the Royal Society of London, 1835, pp. 95-144.
5. Boltzmann, L., “Uber die Form der Lagrange’schen Gleichungen für Nichtholonome, Generalisierte Koordinaten,” Sitzungsberichte der Mathematisch-Naturwissenschaftlichen Klasse der Kaiserlichen Akademie der Wissenschaften, Vol. 61, 1902, pp. 1603-1614.
6. Hamel, G., “Die Lagrange-Eulerschen Gleichungen der Mechanik,” Zeitschrift für Mathematik und Physik, Vol. 50, 1904, pp. 1-57.
7. Gibbs, J.W., “On the Fundamental Formulae of Dynamics,” American Journal of Mathematics, Vol. II, 1879, pp. 49-64.
8. Kane, T.R. and Wang, C.F., “On the Derivation of Equations of Motion,” Journal of the Society for Industrial and Applied Mathematics, Vol. 13, No. 2, June 1965, pp. 487-492.
9. Whittaker, E.J., A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, 4th Ed., Dover Publications, New York, 1937, pp. 43-44.
10. Appell, P., “Sur une Forme Generale des Equations de la Dynamique,” Journal für die Reine und Angewandte Mathematik, Vol. 121,1900, pp. 310-319.
11. Neimark, Ju. I. and Fufaev, N.A., Dynamics of Nonholonomic Systems, American Mathematical Society, Providence, R.I., 1972, pp. 495-518.
12. Kane, T.R., Dynamics, 3rd ed., Stanford University, Stanford, Calif., 1978.