Suppose the energy density of the cosmological constant is equal to the present critical density ε[itex]\Lambda[/itex] = ε[itex]c,0[/itex] = 5200 MeV m-3. What is the total energy of the cosmological constant within a sphere 1 AU in radius? My answer: ε[itex]\Lambda[/itex] = ET / V ET = ε[itex]\Lambda[/itex] * V = (8.33 * 10-10 J)*4∏/3*(1.5*1011m3)3 = 1.2*1035 J What is the rest energy of the Sun ? My answer: E = (2*1030kg)(3*108 m/s)2 ≈ 1.8*1047 J Comparing these two numbers, do you expect the cosmological constant to have a significant effect on the motion of planets within the solar system? My answer: Esolar ≈ (1.5*1022)*ET So the total amount of energy from the Sun is much much greater than the total energy of the cosmological constant within a sphere of 1 AU radius. According to Einstein, mass/energy curves spaces around it. Thus, the immense curvature of space by the sun will control the motion of the planets.