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I have been reading, and understand that for robust systems dealing with all types of orbits in a two body system universal variables approach has been favored. My question is, if I am strictly dealing with circular and elliptical orbits only, is there any benefit to the universal variable approach over traditional Kepler using Newton iterations to solve for anomalies?

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  • $\begingroup$ These may be helpful: 1, 2, 3. For the last one click "print this article" to view the PDF. $\endgroup$ – uhoh Jul 29 '20 at 4:38

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