5. (a) Explain what Lagrange points in a binary system represent (shown in the figure), and describe any differences that may exists between the different Lagrange points that are present. L4 LI LJ 12 Sun Planet L5 (b) Calculate the location of the Li, L2, and La Lagrange points for the Sun-Earth system. Clearly state any assumptions you make. (c) Using the fact that the L, and L Lagrange points form equilateral triangles with the Sun and Earth, calculate the effective potential at the L, and L Lagrange points for the Sun-Earth system