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- W1974533379 abstract "Purpose The purpose of this paper is to analyze the inclusion effects of the linearized time‐varying J 2 ‐perturbed terms for relative accuracy increase significantly over Melton's problem. Design/methodology/approach The methodology is based on the previous studies provided by Ross's paper. He gives a set of equations based on the C ‐ W equations which incorporates the J 2 gravitational perturbations and states in his introduction that this method can be expanded for the elliptical reference orbits as described by Melton. Findings One challenge in implementing the relative motions is maintaining the relations as it experiences gravitational perturbations, most notably due to non‐spherical Earth. Simulation results show that the inclusion of time‐varying J 2 perturbation terms in the derived linear equations increased the accuracy of the solution significantly in the out‐of‐orbit‐plane direction, while the accuracy within the orbit plane remained roughly unchanged. Practical implications By reason of replacing approximate terms ( e , M ) in this solution, for continues accuracy increase of time‐varying parameters containing θ ( t ) and R O ( t ), this solution could be useful in the element‐errors evaluation and analysis of orbital multiple rendezvous missions, that are involved to the limited orbit periods. Originality/value The originality of this paper is to develop Melton's researches. He provided a method for generalizing the linear equations of motion to an elliptical orbit which enabled the determination of a time‐explicit, approximate solution. In this regard, there is no paper which has evaluated the inclusion effects of the linearized time‐varying J 2 perturbation terms over Melton's equations with such an approach." @default.
- W1974533379 created "2016-06-24" @default.
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- W1974533379 date "2013-05-03" @default.
- W1974533379 modified "2023-10-16" @default.
- W1974533379 title "Inclusion effects of J2‐perturbed motion over Melton's problem" @default.
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- W1974533379 doi "https://doi.org/10.1108/00022661311313731" @default.
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