  The physically interesting gravitational analogue of magnetic monopole in
electrodynamics is considered in the present paper. The author investigates the
field equation of gravitomagnetic matter, and the exact static cylindrically
symmetric solution of field equation as well as the motion of gravitomagnetic
charge in gravitational fields. Use is made of the mechanism of gravitational
Meissner effect, a potential interpretation of anomalous, constant,
acceleration acting on the Pioneer 10/11, Galileo and Ulysses spacecrafts is
also suggested.
