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Which was exactly the thinking that most folk on the other forum finally arrived at. Neither bodies velocity nor momentum changed.
Now can you think deeper and see why what you have just said isn't what actually happens!
A small hint - your salami or Astronaut model isn't the right framework. Image half the salami just popped out of existence - so matter and energy weren't necessarily conserved. Neither's velocity nor momentum is affected but how has your system changed?
Hint
Imagine in the Earth / Sun example its was the Sun, not the Earth that suddenly diminshed by 50% of its mass, would you still say your logic works or can you see where the gotcha is?
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