周期関数時間b

r'=-[Lesin(φ-φ)/{1+ecos(φ-φ)}^2]φ'
(-[Lesin(φ-φ)/{1+ecos(φ-φ)}^2](φ')^2+(1/2)[L/{1+ecos(φ-φ)}]φ'')=0
(-[esin(φ-φ)/{1+ecos(φ-φ)}](φ')^2+(1/2)φ'')=0
(-[esin(φ-φ)/{1+ecos(φ-φ)}](dφ/dt)^2+(1/2)d(dφ/dt)/dt)=0
[esin(φ-φ)/{1+ecos(φ-φ)}](dφ/dt)dφ+(1/2)d(dφ/dt)=0
elog{1+ecos(φ-φ)}(dφ/dt)-elog{1+ecos(φ-φ)}{d(dφ/dt)/dφ}dφ+(1/2)dφ/dt=0
elog{1+ecos(φ-φ)}(dφ/dt)-elog{1+ecos(φ-φ)}d(dφ/dt)+(1/2)dφ/dt=0
t=log{1+ecos(φ-φ)}
dφ/dt=1/(dt/dφ)={1+ecos(φ-φ)}/{-esin(φ-φ)}
[elog{1+ecos(φ-φ)}+(1/2)](dφ/dt)-e∫log{1+ecos(φ-φ)}d[{1+ecos(φ-φ)}/{-esin(φ-φ)}]=0
∫f(x)d{f’(x)}=f(x) f’(x)
∫f(x)d{f’(x)}=∫f(x)d{df(x)/dx}=(d/dx){∫f(x)df(x)}=(d/dx){f(x)^2/2}=f(x)f’(x)
elog{1+ecos(φ-φ)}[{1+ecos(φ-φ)}/{-esin(φ-φ)}]
[elog{1+ecos(φ-φ)}+(1/2)](dφ/dt)=elog{1+ecos(φ-φ)}[{1+ecos(φ-φ)}/{-esin(φ-φ)}]
[-esin(φ-φ)/{1+ecos(φ-φ)}dφ+(1/2)[-esin(φ-φ)/{1+ecos(φ-φ)}][1/elog{1+ecos(φ-φ)}]dφ=dt]
t=log{1+ecos(φ-φ)}+(1/2)∫[log{1+ecos(φ-φ)}[1/elog{1+ecos(φ-φ)}]-
(1/2)log{1+ecos(φ-φ)}[log^-2{1+ecos(φ-φ)}]{(-e)sin(φ-φ)/1+ecos(φ-φ)}}]dφ
=log{1+ecos(φ-φ)}+(1/2)∫[log^-1{1+ecos(φ-φ)}]{(-e)sin(φ-φ)/{1+ecos(φ-φ)}}]dφ
∫{f'(x)/f(x)}dx=logf(x)
t=(3/2)log{1+ecos(φ-φ)}
t=log{1+ecos(φ-φ)}

t=log(L/r)