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Effects of in-track maneuver on cone eclipse of near-circular orbits
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NETL
NSTL
Elsevier
By developing an analytical model considering the J_2 perturbation and small eccentricity, the effects of an in-track maneuver on the umbra and penumbra arcs of near-circular orbits are analyzed. The effectiveness of the analytical model is validated by comparing it with the numerical difference and a published model for the cylindrical eclipse. Three major conclusions are draw. First, the proposed analytical model agrees well with the numerical difference method in common situations, and the effect of an in-track maneuver on the eclipse arc center is much smaller than that on the eclipse arc length. Second, although the precision of the proposed analytical model decreases as the eccentricity increases, the effects of a small in-track maneuver on the orbital eclipse could be considered as small values in common situations. Those effects could be notable as the maneuver magnitude increases. Third, when the orbital sun angle approaches the critical angle defined by the ratio of the Earth radius to the satellite's semimajor axis, the effects of an in-track maneuver on the penumbra arc length could not be a small value any more, the precision of the analytical model would be considerably degraded. In the neighborhood of the critical angle, the differences between the effects of an in-track maneuver on the umbra, penumbra and cylindrical eclipse reach the maximum. Moreover, the reasons for the properties presented above are successfully explained by the analytical partial derivatives in the developed model.
Orbital maneuverEclipseUmbraPenumbraNear-circular orbitJ_2 perturbations
Jin Zhang、Kemao Wang、Hanyu Zhang、Xuan Huang
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College of Aerospace Science and Technology, National University of Defense Technology, China, Hunan Key Laboratory of Intelligent Planning and Simulation for Aerospace Missions, China
NETL
NSTL
Elsevier
