This paper proposes a technique for reducing the orbit determination e
rror that originates from the bias errors in ranging. Assuming the use
of two ranging stations as standards, we locate them so that they are
aligned exactly in the north-south direction when viewed from the sat
ellite. Then, among the six orbital elements, only one that indicates
the along-track offset has a locally minimized error. Proof of this re
lationship is derived from the least-squares principle, with its physi
cal interpretation provided. This error reduction technique will be he
lpful for managing the many satellites in the overcrowded synchronous
orbit, particularly if the ranging systems used are different for each
satellite.