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but rather than developing up to some higher derivative in r only, one can develop in r and v (that is r') by writing <math>r = f r_0 + g r'_0</math>and then write out the factors ''f'' and ''g'' in a series.
All these more advanced methods easily allow for solar system calculations with a stepsize Δt of 10 days and yet yield satisfactory results{{fact}}.
==Approximations==
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