Clive,
If I am standing on the moon and let go of a pencil, will the pencil fall, float away, or stay where it is?
If I let go of a pencil from outside the space shuttle while it is in Earth's orbit, what will happen to it? Will the pencil orbit the Earth forever, travel through space to another planet, or eventually burn up in Earth's atmosphere?
There is gravity in space because there is mass in space.
The point at which two gravitational influences are equal is called a Lagrange point (go ahead, look it up).
What astronauts experience is called microgravity.
I'm going to take a wild guess that orbital mechanics, inter-planetary physics, astrophysics, biomedical, engineering, etc. are not your best subjects. Thus, I will advise you to stick to what you know best.