Expression 29: StartRoot, "P" Subscript, "K" "e" "r" "b" "o" "l" "M" "y" , Baseline StartAbsoluteValue, left parenthesis, StartFraction, 2 Over 1000 "r" Subscript, "M" "i" "r" "a" , Baseline , EndFraction minus StartFraction, 1 Over negative 1000 "a" Subscript, "S" "M" , Baseline , EndFraction , right parenthesis , EndAbsoluteValue , EndRoot equals 50971.2 3 5 6 9 3 8PKerbolMy21000rMira−1−1000aSM
equals=
50971.2 3 5 6 9 3 850971.2356938
29
Expression 30: StartRoot, "P" Subscript, "K" "e" "r" "b" "o" "l" "M" "y" , Baseline left parenthesis, StartFraction, 2 Over negative 1000 "r" Subscript, "M" "i" "r" "a" , Baseline , EndFraction minus StartFraction, 1 Over 1000 "a" Subscript, "S" "M" , Baseline , EndFraction , right parenthesis , EndRoot equals 50971.2 3 5 6 9 3 8PKerbolMy2−1000rMira−11000aSM
equals=
50971.2 3 5 6 9 3 850971.2356938
30
Expression 31: StartRoot, "P" Subscript, "K" "e" "r" "b" "o" "l" "M" "y" , Baseline StartAbsoluteValue, left parenthesis, StartFraction, 2 Over negative 1000 "r" Subscript, "M" "i" "r" "a" , Baseline , EndFraction minus StartFraction, 1 Over negative 1000 "a" Subscript, "S" "M" , Baseline , EndFraction , right parenthesis , EndAbsoluteValue , EndRoot equals 46753.1 4 2 5 7 5 2PKerbolMy2−1000rMira−1−1000aSM
equals=
46753.1 4 2 5 7 5 246753.1425752
31
Expression 32: "v" Subscript, 0 , Baseline equals StartRoot, "P" Subscript, "K" "e" "r" "b" "o" "l" "M" "y" , Baseline times left parenthesis, StartFraction, 2 Over 1000 "h" Subscript, "P" "e" "r" "i" "a" "p" "s" "i" "s" , Baseline , EndFraction minus StartFraction, 1 Over 1000 "a" Subscript, "S" "M" , Baseline , EndFraction , right parenthesis , EndRoot equals 50971.2 3 5 6 9 3 8v0=PKerbolMy·21000hPeriapsis−11000aSM
equals=
50971.2 3 5 6 9 3 850971.2356938
32
Expression 33: "r" Subscript, "M" "i" "r" "a" , Baseline equals StartFraction, "a" Subscript, "S" "M" , Baseline times left parenthesis, "c" squared minus 1 , right parenthesis Over 1 plus "c" Subscript, "e" "c" "c" , Baseline times cos left parenthesis, phi Subscript, "M" "i" "r" "a" , Baseline , right parenthesis , EndFraction minus "c" Subscript, "c" "o" "r" "r" , Baseline equals negative 11376058.8 0 3rMira=aSM·c2ecc−11+cecc·cosϕMira−ccorr
equals=
negative 11376058.8 0 3−11376058.803
33
relative error:
34
Expression 35: "c" Subscript, "e" "r" "r" , Baseline equals StartFraction, "v" Subscript, "M" "i" "r" "a" , Baseline minus 13560 Over 13560 , EndFraction times 100 equals 244.7 8 7 1 8 7 1 3 3cerr=vMira−1356013560·100
equals=
244.7 8 7 1 8 7 1 3 3244.787187133
35
Mira Periapsis: left parenthesis, "h" Subscript, "P" "e" "r" "i" "a" "p" "s" "i" "s" , Baseline , 0 , right parenthesis equals left parenthesis, 11376058.8 0 3 , 0 , right parenthesis Has graph. To audio trace, press ALT+T.hPeriapsis,0
Label:
equals=
left parenthesis, 1.1 3 7 6 times 10 to the 7th power , 0 , right parenthesis1.1376×107,0
