Gravity and angular momentum

When a mass moves towards a bigger mass at a constant velocity, they will be attracted to each other such that the smaller mass will revolve around the bigger mass with the same speed as before.

However, if the above case is true, the total angular momentum of the system will increase from zero to non-zero. This is clearly a violation of conservation of angular momentum.

Edit: when I am talking about this, I don't mean that two mass are moving towards each other. I mean for instance there is a stationary planet and a mass such as an asteroid move horizontally above the planet at a constant speed. The asteroid is moving past the planet without touching it. This asteroid will then be attracted to the planet gravitational pull, resulting in it turning direction and begin to revolve around the planet. This is just hypothetical and I don't see how this is impossible.

• The above case is not true, though. :-) Jun 7 '16 at 0:49
• You say, "If the above case is true...." How do you know that your 1st statement is true? Jun 7 '16 at 0:50
• +1 to cancel out downvotes. It is true that the question is based on a false premise, but to a beginner it is not obvious that the premise is false or why it should be. A good pedagogical answer would be a valuable thing for the site to have. The question is actually quite perceptive, in that the asker has noticed a conflict between their intuition and physical law. Jun 7 '16 at 6:10