Tables for the True Anomaly in Elliptic Orbits (Classic Reprint) - Hardcover

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Excerpt from Tables for the True Anomaly in Elliptic Orbits

Simple or linear interpolation for the fractional part of M is almost always sufficient; thus, if e does not exceed the neglect of second differences cannot cause an error of more than With higher values of e this error becomes appreciable for a small portion of the tables near the beginning. Thus for e and M near 4° this error may reach The computer may take this into account by always adding a correction to the numerical value of 1) that has been obtained by simple interpolation. This correction is obtained by multiply ing the second difference (the difference between two successive tabular differ ences) by the number in the following table. The argument, (x), is the frac tional part of M, and may have any value from zero to unity.

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