mugaliens

2009-Aug-25, 08:41 PM

While looking at a countour plot of the Lagrangian points (http://en.wikipedia.org/wiki/Lagrangian_point), in order to formulate a response in this thread (http://www.bautforum.com/against-mainstream/91534-cogitations-twin-paradox-post1555152.html), I realized I didn't know the answer to the following question:

Given:

1. Two BHs of 1 solar mass each are in space

2. They are near one another, but otherwise alone.

3. They have identical mass

4. They are orbiting one another (circular orbit)

5. No other mass exists except two observers

6. One is positioned directly between the bodies and undergoes no acceleration.

7. The other is positioned at a distance approaching infinity and

Ignoring Hawking and CMBR radiations for a minute, frame-drag-induced spiral orbit decay, and the rest of those miniscule effects for a moment...

Does a clock with the observer between the black holes run slower than the distant observer, or does it run at the same rate?

Key point: While the gravitational attraction of each BH cancels out that from the other so far as acceleration of the mid-point observer is concerned, I am trying to ascertain whether this cancellation extends to time dilation as well.

Given:

1. Two BHs of 1 solar mass each are in space

2. They are near one another, but otherwise alone.

3. They have identical mass

4. They are orbiting one another (circular orbit)

5. No other mass exists except two observers

6. One is positioned directly between the bodies and undergoes no acceleration.

7. The other is positioned at a distance approaching infinity and

Ignoring Hawking and CMBR radiations for a minute, frame-drag-induced spiral orbit decay, and the rest of those miniscule effects for a moment...

Does a clock with the observer between the black holes run slower than the distant observer, or does it run at the same rate?

Key point: While the gravitational attraction of each BH cancels out that from the other so far as acceleration of the mid-point observer is concerned, I am trying to ascertain whether this cancellation extends to time dilation as well.