hν=i*mc^2/√(1-(v/c)^2)
E=[ e^(∫[0→v/c]　(d/dm)*hν/c^2 (d(v/c)) )/cos((1/i)*∫[0→v'/c]　(d/dm)*hν/c^2 (d(v/c)) )^2 ]*mc^2=e^(i*arcsin(v/c))/(1-(v/c)^2)*mc^2=mc^2/√(1-(v/c)^2) + i*mcv/(1-(v/c)^2)

E=[ e^(∫[0→V/c]　(d/dm)*√(1-(v/c)^2)*i*mcv/(1-(v/c)^2)/c^2 (d(v/c)) )/cos((1/i)*∫[0→V/c]　(d/dm)*√(1-(v/c)^2)*i*mcv/(1-(v/c)^2)/c^2 (d(v/c)) )^2 ]*Mc^2=e^(i*arcsin(V/c))/(1-(V/c)^2)*Mc^2=Mc^2/√(1-(V/c)^2) + i*McV/(1-(V/c)^2)

mv+M*0=mv'+MV
v+v'=V
V=v*2m/(m+M)

M*(V/c)*(1-(v/c)^2)=m*(v/c)*(1-(V/c)^2)
m*(v/c)*(V/c)^2+M*(1-(v/c)^2)*(V/c)-m*(v/c)=0
V=c*{√[ [M*(1-(v/c)^2)]^2+(2*m*(v/c))^2 ]-[M*(1-(v/c)^2)]}/(2*m*(v/c))

M→0 V→c
M→∞　V=0
M=m V=v
M>>>m V=c*[M*(1-(v/c)^2)]*{√[ 1+(2*m*(v/c))^2/[M*(1-(v/c)^2)]^2 ]-1}/(2*m*(v/c))≒(2*m*v)/[2*M*(1-(v/c)^2)]≒v*2m/(m+M)
M<<<m V=c*(2*m*(v/c))*{√[ 1+[M*(1-(v/c)^2)]^2/(2*m*(v/c))^2 ]-[M*(1-(v/c)^2)]/(2*m*(v/c))}/(2*m*(v/c))≒c*{1+(1/2)*[M*(1-(v/c)^2)]^2/(2*m*(v/c))^2-[M*(1-(v/c)^2)]/(2*m*(v/c))}