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relativistic recoil, implicit

Yukterez Dec 14th, 2019 (edited) 77 Never
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  1.  (* yukterez.net *)
  2.  
  3. M1=1; M2=10; v0=0.9;
  4. Ekin=M1/Sqrt[1-v0^2]-M1;
  5.  
  6. NSolve[
  7. (M1/Sqrt[1-v1^2]-M1)+(M2/Sqrt[1-v2^2]-M2)==Ekin
  8. &&
  9. ((M1 v1)/Sqrt[1-v1^2])+((M2 v2)/Sqrt[1-v2^2])==0
  10. && Ekin>0&&M1>0&&M2>M1,
  11. {v1,v2}, Reals][[1]]
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