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Fig. D.1

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Numerical errors on the computation of rεℬ using double precision arithmetic. The red curve shows the relative error obtained when using Eq. (D.2); the blue curve shows the relative error obtained when using Eq. (D.3). Errors are computed from a reference value obtained in quadruple precision. Panel a, b, and c show the error as a function of the distance r of the particle for the Orbits #1, #2, and #3 considered in Sect. 6, with parametrisation point q = r. The values of r shown range from periapsis to apoapsis.

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