Relativistic theory of aberration for an observer moving in the gravit
ational field is constructed with the help of monad formalism. A formu
la is deduced for the measured angle between the directions to two sou
rces. The formula is applied to concrete parameters of the space astro
metric mission POINTS, a classification of aberration corrections is p
roposed, and their exact numerical estimates are found. It is shown th
at the same results are obtained by using a widely different approach
based on an hierarchy of relativistic coordinate systems. Practical al
gorithm allowing for aberration with microsecond accuracy is discussed
.