Presuming a 10^19 kg asteroid, that would result in an acceleration of ~2.11*10^-17 mm sec^-2 , after a year position displacement would be 332 km, after 50 years displacement would be 830,000 km. After a million years displacement would be 35 light years and velocity change 21 km/sec. A significant perturbation and enough so that you wouldn't use two body elements for anything other than a first order approximation. 



(that just from x''(t)=(G 10^19 10^9 10000^-2), x(0) and x'(0)=0)
 

-------- Original Message --------
On January 21, 2018 2:01 AM, Tim <xxxxxx@little-possums.net> wrote:


 
Barring both, the worst case would probably be something like a
million-tonne station maintaining a solar synchronous position at some
very close range like 10 km, causing an acceleration on the order of a
few millimetres per second per year. It might become a problem if the
station is still in the same orbit-relative direction throughout a
million years.
 
Gravity is an extremely weak force on human scales.
 
 

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