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

Huge the mass more gravitational force so it the sun has huge mass so it contains more gravitational force so that planet revolves around sun if you are space they fiy into the air because negligible mass

Answer 2

Of course. If you are in very negligible gravitational field, any mass can revole around the centre of mass of you and the object. Infact both mass will revolve in circle around centre of mass.
Heavier the mass of one object, lesser will be the radius of circle.
If you want to remain relatively stationary, the mass of object revolving should be very less.
And there is no minimum mass required criteria for this.