By Dana Bell
Air strength shades Vol 1: 1926-42
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5th edn. New York: John Wiley Publishing. 8. Lagrange, J. L. (1873). Collected Works. Vol. 6. Paris: Gauthier-Villars. 9. Lambeck, Kurt. (1988). Geophysical Geodesy. Oxford: Clarendon Press. 10. Long, Anne C. et al. (1989). Goddard Trajectory Determination System (GTDS) Mathematical Theory (Revision 1). FDD/552-89/001 and CSC/TR-89/6001. Goddard Space Flight Center: National Aeronautics and Space Administration. 11. Marcos, Frank A. et al. (1993). Satellite Drag Models: Current Status and Prospects.
Under disturbance, the solution is sought as xj = fj t C1 t C6 t x˙ j = gj t C1 t C6 t + j=1 2 3 j t C1 t C6 t gj ≡ fj t j C ≡ r fj C˙ Cr r Insertion of xj = fj t C into the perturbed gravity law yields three scalar equations for six functions Cr t . This necessitates imposition of three conditions upon Cr and C˙ r . Under the simplest choice j = 0 j = 1 2 3, the perturbed physical velocity x˙ j t C has the same functional form as the unperturbed gj t C . Therefore, the instantaneous conics become tangent to the orbit (and the orbital elements Cr t are called osculating).
1987). Earth Rotation—Theory and Observation. New York: Ungar Publishing Company. 14. Roy, Archie E. (1988). Orbital Motion. New York: John Wiley & Sons. 15. Vallado, David A. (2004). Fundamentals of Astrodynamics and Applications. 2nd edn, second printing. Microcosm, El Segundo, CA. 16. Vallado, David A. (2005). An Analysis of State Vector Propagation using Differing Flight Dynamics Programs. Paper AAS 05-199 presented at the AAS/AIAA Space Flight Mechanics Conference. Copper Mountain, CO. 17.
Air Force Colors 1926-1942 by Dana Bell