There have been many gravity experiments, for example the

Grace Project for mapping Earth's gravity from space.

Of course,

being in space is not without gravity, which can actually be quite significant depending how close one is to various celestial objects. For example, the international space station is subjected to nearly the same gravity as one would have at the surface of the earth. Just the orbit is a perfect balance between gravity and centrifugal force, giving the sensation of weightlessness.

You might have difficulties getting two objects sent up from Earth to orbit each other as most satellites weigh less than a few tons.

[tex]F=G\frac{m_1m_2}{r^2}[/tex]

[tex]G=6.67384 x 10^{-11} N (\frac{m}{kg})^2[/tex]

[tex]F=ma[/tex]

[tex]a = \frac{F}{m}[/tex]

So, say we had two 1000kg masses, spaced 1m apart.

We get: [tex]F = 6.67384 x 10^{-11} (\frac{1000^2}{1^2})[/tex]

[tex]F = 6.67384 x 10^{-5} N [/tex]

[tex]a = 6.67384 x 10^{-8} \frac{m}{s^2}[/tex]

Anyway, for the two, one-ton objects, with a 1m space (between the centers), the acceleration towards each other is awfully small.

They may still orbit each other, but it would take a couple of years per orbit.

Also, keep in mind that the volume/mass of an object increases with the cube of the radius. So, the gravity is essentially greater for the same distance from the surface for larger objects.

Anyway, for any practical experiments, one needs much bigger masses, thus using the sun, earth, moon, or perhaps some asteroids.