This paper demonstrates that thrusters, when administered by integral pulse frequency modulation (IPFM) control system, can be used successfully for timdfuel optimal acquisition and precision tracking of moving targets, with low jitter (2 pmd) of the focal plane of flexible spacecraft. The paper first derives roll, pitch, and yaw position, rate and acceleration commands for tracking a moving object with a payload initially on the zenith side of the spacecraft. These commands are then made explicit for landmark tracking. Conditions of visibility of the target to the spacecraft in a given celestial setting are also formulated. A non-iterative, closed-form, single-axis, time/fuel optimal algorithm is developed to slew the spacecraft from one arbitrary state (attitude and rate) to another to acquire a moving target. The formulae for designing the IPFM controller for tracking a given acceleration command profile with a rigid spacecraft are summarized next. Spacecraft flexibility concerns such as mode selection on the basis of spontaneous impulse response, stable or unstable control-structure interaction due to large flexible to rigid inertia ratios or due to symmetric modes having a moment arm from the vehicle mass center, and the elimination of instability using minimum-rise-time lowpass filter are addressed in depth.Extensive numerical results are included which conclusively establish that the IPFM controllers are eminently suitable for precision pointing and tracking and, surprisingly, even for vibration suppression if the flexible to rigid inertia ratio is below unity.