Evolution of ȧ=da/dt=H·a as function of scalefactor a & time t

Equations: ȧ(a)=H0·a·√(Ωr/a⁴+Ωm/a³+ΩΛ), t(a)=∫{0...a}[da/ȧ(a)]

Ωr=0.000092136, Ωm=0.315, ΩΛ=1-Ωr-Ωm, t0=1.3842e+10, H0=67.150

Minimum: ȧ=1.91143e-18 @ ä=d²a/dt²=0, a=0.612850, t=7.72181e+9


Linear Plots



ȧ(a)




ȧ(t)


Log/Log Plots



ȧ(a)




ȧ(t)

«back   Index: a, ȧ, ä, ã, â, H, , , rH, rE, rP, rL, Σr, Ω