Publicação: Orbital perturbations using geopotential coefficients up to high degree and order: Highly eccentric orbits
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Univelt Inc
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Several methods have been proposed for calculations of the eccentricity function for a high value of the eccentricity, however they cannot be used when the high degree and order coefficients of gravity fields are taken into account. The method proposed by Wnuk(1) is numerically stable in this case, but when is used. a large number of terms occurs in formulas for geopotential perturbations. In this paper we propose an application of expansions of some functions of the eccentric anomaly E as well as Hansen coefficients in power series of (e - e*), where e* is a fixed value of the eccentricity derived by da Silva Fernandes(2,3,4). These series are convergent for all e < 1.
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Spaceflight Dynamics 1998, Vol 100, Part 1 and 2. San Diego: Univelt Inc., v. 100, p. 227-238, 1998.
