関数 A-B-C
vt' vt x' x
1/ｋ
X-Vt=X'/k
X'+Vt'=x/k
X'=k(X-Vt)
t'=k(1-X/Va) a=1-(1-1/k')
u'=(u-v)/(1-(ua/v))
a=1-(1/k)(1/k)=vv/cc
1/k=√(1-(v/c)(v/c))
X'=k(x-vt)
t'=k(t-vx/cc)
u'=(u-v)/(1-(uv/cc))
x=k(x'+vt')
t=k(t'+(vx'/cc))
u=(u'+v)/(1+u'v/cc)
1/k=√(1-(v/c)(v/c))
u=c(c+v)/(c+v)
u=u'+v
u'=c-a
c=c-b
u=c(2c-a-b)/(2c-a-b+(ab/c))<c
1/k>1
x2-x1=(x2'-��1’)/k
t2-t1=k(t2'-t1')
u1=(u'+v)(1+β)
u2=-(u'+v)(1-β)
β=u'v/cc
(mm1+m2)vt=m1xx1+m2x2
(m1+m2)v=m1u1+m2u2
(m1+m2)=2K
m1=(1+β)K
m2=(1-β)K
(1+β)=2m1/(m1+m2)
(1-β)=2m2/(m1+m2)
β=(m1-m2)/(m1+m2)
u'=(m1u1-m2-u2)/(m1+m2)
v=(m1u1+m2u2).(m1+m2)
m1m1(cc-u1u1)=m2m2(cc-u2u2)
u1=0 u2=u m1=m0 m2=m
m0m0*cc=mm(cc-uu)
m=km
k=1/√((1-(u/c)(u/c)))
f=d(mu)/dt
dE=fds
ds f
m t
f=m(du/dt)=質量×加速度
dE=fds(d(mu)/dt)ds=d(mu)(ds/dt)=d(mu)u
dE=d(mu)u=(d(mu)/dm)udm
E=mcc
m=m0/√((1-(u/c)(u/c))
u=(c/m)√(mm-m0)
mu=c(mm-m0m0)
d(mu)/dm=c2m/√(2(mm-m0m0))
d(mu)=cmdm/√(mm-m0m0)=cmdm/((mc/c))=ccdm/u
dE=d(mu)u=ccdm
E=mcc=m0cc/√(1-(u/c))
E=m0cc+(m0uu/2)
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