How would two massive bodies effect eachothers gravity?

[Algaib]

Scenario: Let's say I lived on planet A (which was massive), which orbited planet B (which was also massive) so closely that upon looking up into the sky, planet B would fill most of what we would normaly see as being blue sky.

Living on such a massive planet has some probolems; e.g being crushed by massive gravity.

Question: Would the gravity of planet B work in the opposite direction to planet A, thus allowing me to survive on the surface at the point directly inbetween both planets without being crushed?

 

[HallsofIvy]

Yes,k even without relativity, there exist points at which the gravitational forces of two planets cancel. (Strictly speaking the two planets would both be rotating around their common center of mass.)

 

[DrGreg]

Yes, to a much smaller degree, that's how the Moon causes tides on Earth. The Moon's gravity pulls one side of the Earth a bit more than it pulls the centre of the Earth, and the opposite side a bit less, and those differences cause the high tides.

 

[Algaib]

How much difference in gravity would there therefore be between the closest point on planet A to planet B, and the furtherst point on planet A from planet B. (Lets say the planets are the size of our sun, or more). If none that would be noticable, then how large must the planets be for you to feel the difference?[PLAIN]http://www.theabominablesnowman.co.uk/planets.html