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| Keywords: Restricted Three-Body Problem - Energy Potential Analysis.png Force Field-Gravity Well Inter-relationship png Note 1 Half of the field has been cut away for clarity Also the mass parameter mu being graphed is 0 25 This is a significant difference from the Earth-Moon system so the labels are only qualitatively representative There are also Coriolis effects which are dynamic and not shown Many science museums have gravity well demonstrations A similar display can be created for three-body orbits by using a 3-d printer to make the combined gravity potential surface and then rotating it at a scaled rate A steel ball bearing could then be placed at the stable L4 or L5 locations equilateral to the primary masses and if the model is properly constructed then these ball bearings will stay in place until air resistance drags them away The centrifugal and Coriolis effects are simply manifestations of inertial effects when observed from the rotating reference frame Note 2 Because the rotation rate of the primary masses is a function of gravity it should be understood that the labeling of factors as being due to gravity and due to rotation does not mean that the latter has nothing to do with the former This should be clear upon inspection of both equations If these labels were not distilled down to a single word for the sake of simplicity the long-hand labels could be potential due to the force due to gravity gravity and potential due to the force due to the rotation due to the force due to gravity rotation Graphics generated by HiQ PDF image edited with GIMP and MS Paint http //preview tinyurl dot com/Thesis-EnergyPotentialAnalysis - Figures 4 3 4 4 and Equations 4 8 4 16 on pdf pgs45 through 49 of 64 Invent2HelpAll 2013-04-07 Cc-zero Gravitational potential Three-body problem Potential wells Potential energy | ||||
