An Upper Bound On Errors In the Mean-Of-Date/Instantaneous Earth-Fixed Vector Transformation Induced By Interpolated Nutation Angles.

摘要

An analytic expression for the upper bound on the error induced into a vector modulus by the use of interpolated nutation angles in the coordinate transformations between the mean-of-date reference system and the instantaneous earth-fixed reference system is derived through first order. This expression is applied to the six-point Lagrange interpolator, using interpolation intervals between 0.25 and l.00 days, and a quantification of associated upper error bounds for earth satellite position vector moduli is made.