Expressão 13: "d" left parenthesis, "x" , "y" , right parenthesis equals StartRoot, "x" squared plus "y" squared , EndRootdx,y=x2+y2
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Expressão 14: "D" left parenthesis, "X" , "Y" , right parenthesis equals StartFraction, left bracket, "X" , "Y" , right bracket Over "d" left parenthesis, "X" , "Y" , right parenthesis , EndFractionDX,Y=X,YdX,Y
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Expressão 15: "F" equals "F" Subscript, "s" , Baseline times "D" left parenthesis, "x" , "y" , right parenthesis plus "F" Subscript, "t" , Baseline times "D" left parenthesis, "x" minus "d" Subscript, "t" , Baseline , "y" , right parenthesis plus "F" Subscript, "c" , Baseline times "D" left parenthesis, "x" minus "d" Subscript, "g" , Baseline , "y" , right parenthesisF=Fs·Dx,y+Ft·Dx−dt,y+Fc·Dx−dg,y
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display: Lagrange points supposed to be equilibriums: F=0
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Expressão 17: max left parenthesis, "F" left bracket, 2 , right bracket squared , "F" left bracket, 1 , right bracket squared , right parenthesis less than or equal to .1maxF22,F12≤.1
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Expressão 18: max left parenthesis, StartFraction, abs left parenthesis, "F" left bracket, 2 , right bracket , right parenthesis Over "w" left parenthesis, "x" , "y" , "F" left bracket, 2 , right bracket , right parenthesis , EndFraction , StartFraction, abs left parenthesis, "F" left bracket, 1 , right bracket , right parenthesis Over "w" left parenthesis, "x" , "y" , "F" left bracket, 1 , right bracket , right parenthesis , EndFraction , right parenthesis less than or equal to .0 0 2maxabsF2wx,y,F2,absF1wx,y,F1≤.002
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Expressão 19: "w" left parenthesis, "x" , "y" , "f" , right parenthesis equals StartRoot, left parenthesis, StartFraction, "d" Over "d" "x" , EndFraction "f" , right parenthesis squared plus left parenthesis, StartFraction, "d" Over "d" "y" , EndFraction "f" , right parenthesis squared , EndRoot plus 10 Superscript, negative 5 , Baselinewx,y,f=ddxf2+ddyf2+10−5
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Expressão 20: "F" left bracket, 2 , right bracket squared plus "F" left bracket, 1 , right bracket squared less than or equal to 1.F22+F12≤1.
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Expressão 21: "F" left bracket, 1 , right bracket squared less than or equal to 1. left brace, "F" left bracket, 2 , right bracket squared less than or equal to 1. , right braceF12≤1.F22≤1.
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Expressão 22: "F" left bracket, 1 , right bracket equals 0F1=0
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Expressão 23: "F" left bracket, 2 , right bracket equals 0F2=0
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Expressão 24: mod left parenthesis, "F" Subscript, "s" , Baseline , 6.3 , right parenthesis equals 3modFs,6.3=3
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Expressão 25: mod left parenthesis, "F" Subscript, "t" , Baseline , 6.3 , right parenthesis equals 3modFt,6.3=3
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Expressão 26: left parenthesis, "d" Subscript, "g" , Baseline , 0 , right parenthesisdg,0
