  Fractals are defined as geometric shapes that exhibit symmetry of scale. This
simply implies that fractal is a shape that it would still look the same even
if somebody could zoom in on one of its parts an infinite number of times. This
property is also called self-similarity with several applications including
nano pharmacology and drug nano carriers. We are interested in the study of the
properties of fractal aggregates in a microgravity environment above an
orbiting spacecraft. To model the effect we use a complete expression for the
gravitational acceleration. In particular on the surface of the Earth the
acceleration is corrected for the effect of oblateness and rotation. In the
gravitational acceleration the effect of oblateness can be modeled with the
inclusion of a term that contains the J2 harmonic coefficient, as well as a
term that depends on the square of angular velocity of the Earth. In orbit the
acceleration of gravity at the point of the spacecraft is a function of the
orbital elements and includes only in our case the J2 harmonic since no
coriolis force is felt by the spacecraft. Using the fitting parameter d = 3.0
we have found that the aggregate monomer number N is not significantly affected
and exhibits a minute 0.0001% difference between the geocentric and areocentric
latitudes of 90 degrees and 0 degrees. Finally for circular and elliptical
orbits around Earth and Mars of various inclinations and eccentricities the
aggregate monomer number is not affected at all at the orbital altitude of 300
km.
