The terminal navigation of the Near Earth Asteroid Rendezvous (NEAR) s
pacecraft during its close flyby of asteroid 253 Mathilde involved coo
rdinated efforts to determine the heliocentric orbits of the spacecraf
t and Mathilde and then to determine the relative trajectory of the sp
acecraft with respect to Mathilde. The gravitational perturbation of M
athilde on the passing spacecraft was apparent in the spacecraft track
ing data. As a result of the accurate targeting achieved, these-data c
ould be used to determine Mathilde's mass as 1.033 (+/-0.044) x 10(20)
grams. Coupled with a volume estimate provided by the NEAR imaging te
am, this mass suggests a low bulk density for Mathilde of 1.3 grams pe
r cubic centimeter.