It may be true that the Moons annual path isnt precisely periodic and isnt precisely a closed curve and that its center of survature isnt precisely in the SunEarthMoon plane  But its close enough  So lets not get distracted by things that arent important to the broader discussion  I acknowledge again that the Godfray and Turner references say the Moons annual path is concave  But there are other references that describe it as convex  I see no reason to believe that the Godfray and Turner references are any more reliable on this point than the other references  Terry Im going to ask you the same questions that I asked Marc Kupper about what your source is for the distinction between convexconcave when looking outward from the inside and convexconcave when looking inward at the entire system  But before I ask you all those questions Ill let Marc respond to the questions I asked him since he might resolve some of them