Question

Can I put an object in an orbit around me assuming that I am present in empty space with negligible gravitational influences around me. If not, how do we calculate the minimum mass that an object should possess to create an orbit for another body around itself?

Answer 1

For a body of mass m to orbit another body of mass M (in a orbit of radius r and with speed v), the following relation should hold true:
GMm/r^2 = mv^2/r
As you can see, the mass of the object (m) cancels out, and there is no such concept of minimum mass.