How could one explain the collision of two continuous mass distributions in view of
gravitation (Newtonanian and General relativity) ?
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It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, see the FAQ.
In the context of classical mechanics, your question is probably ill-formed.
Since point masses have no physical extent, the gravitational force increases without bound as
Infinite force on a finite mass implies infinite acceleration (F = ma) which implies infinite velocity, which is inconsistent with special relativity.
In General Relativity, a point mass is a black hole. The collision of two black holes is a very complicated problem that has to be solved using numeric supercomputer simulation. The short story is that they end up coalescing to a single black hole.
There are some complications from this answer that could arise from spin-orbit coupling, but I don't think that's what you're asking about.