Errors in Arbitrary Components of Position and Velocity Vectors

摘要

Formulas are presented for obtaining the standard deviation in components of the position and velocity vectors relative to a coordinate system O' when a set of position and velocity components are known relative to a coordinate system O' assuming standard deviations in the components of vector r relative to O' are known. When the origins of O and O' coincide, the results can apply to rotated coordinate systems.