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==Additional, Numerically Constructed Polytropic Configurations== As has been detailed in an [[SSC/Structure/Polytropes#Polytropic_Spheres|accompanying chapter]], using numerical techniques we have solved the Lane-Emden equation, and thereby discerned the internal structural profiles, for polytropes having a wide variety of polytropic indexes. The righthand panel of Figure 3 presents a diagram in which the mass-radius "sequences" corresponding to eight different polytropic indexes have been drawn. <div align="center" id="DFBsequences"> <table border="1" cellpadding="8" align="center"> <tr> <th align="center" colspan="2"><br />[[File:DataFileButton02.png|right|75px|file = Dropbox/WorkFolder/Wiki edits/EmbeddedPolytropes/CombinedSequences.xlsx --- worksheet = EqSeqCombined2]]Figure 3: Mass-Radius Behavior of Various Polytropic Sequences</th> </tr> <tr> <td align="center"> [[File:Stahler_MRdiagram1.png|350px|center|Stahler (1983) Figure 17 (edited)]] </td> <td align="center"> [[File:DFBsequenceB.png|350px|Combined DFB Sequences]] </td> </tr> </table> </div>
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