Converts from 2pi engine cycle to 360 engine cycle
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Expression 10: "b" equals StartFraction, pi "x" Over 180 , EndFractionb=πx180
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Expression 11: "p" Subscript, "o" "s" , Baseline left parenthesis, "x" , right parenthesis equals "s" cosine left parenthesis, "b" , right parenthesis plus StartRoot, left parenthesis, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , right parenthesis , EndRoot negative "l"posx=scosb+l2−s2sin2b−l
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Expression 12: "v" Subscript, "e" "l" , Baseline left parenthesis, "x" , right parenthesis equals negative "s" sine left parenthesis, "b" , right parenthesis minus StartFraction, "s" squared sin left parenthesis, "b" , right parenthesis cos left parenthesis, "b" , right parenthesis Over StartRoot, left parenthesis, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , right parenthesis , EndRoot , EndFractionvelx=−ssinb−s2sinbcosbl2−s2sin2b
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Expression 13: "a" Subscript, "c" "e" "l" , Baseline left parenthesis, "x" , right parenthesis equals negative "s" cosine left parenthesis, "b" , right parenthesis minus StartFraction, "s" squared left parenthesis, cos squared "b" minus sin squared "b" , right parenthesis Over StartRoot, left parenthesis, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , right parenthesis , EndRoot , EndFraction minus StartFraction, "s" to the 4th power cos squared left parenthesis, "b" , right parenthesis sin squared left parenthesis, "b" , right parenthesis Over left parenthesis, StartRoot, left parenthesis, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , right parenthesis , EndRoot , right parenthesis cubed , EndFractionacelx=−scosb−s2cos2b−sin2bl2−s2sin2b−s4cos2bsin2bl2−s2sin2b3
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Expression 14: "j" Subscript, "e" "r" "k" , Baseline left parenthesis, "x" , right parenthesis equals "s" sine "b" plus StartFraction, 2 "s" squared sin left parenthesis, 2 "b" , right parenthesis Over left parenthesis, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , right parenthesis Superscript, .5 , Baseline , EndFraction minus StartFraction, "s" to the 4th power cos left parenthesis, 2 "b" , right parenthesis left parenthesis, sin left parenthesis, 2 "b" , right parenthesis plus cos left parenthesis, "b" , right parenthesis sin left parenthesis, "b" , right parenthesis , right parenthesis Over left parenthesis, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , right parenthesis Superscript, 1.5 , Baseline , EndFraction minus StartFraction, .7 5 "s" to the 6th power cos left parenthesis, "b" , right parenthesis sin left parenthesis, "b" , right parenthesis sin squared left parenthesis, 2 "b" , right parenthesis Over left parenthesis, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , right parenthesis Superscript, 2.5 , Baseline , EndFractionjerkx=ssinb+2s2sin2bl2−s2sin2b.5−s4cos2bsin2b+cosbsinbl2−s2sin2b1.5−.75s6cosbsinbsin22bl2−s2sin2b2.5
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Expression 15: "s" Subscript, "n" "a" "p" , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, 2 "s" to the 4th power sin squared left parenthesis, 2 "b" , right parenthesis plus 2 "s" to the 4th power cos left parenthesis, "b" , right parenthesis sin left parenthesis, "b" , right parenthesis sin left parenthesis, 2 "b" , right parenthesis minus 2 "s" to the 4th power cos squared left parenthesis, 2 "b" , right parenthesis plus "s" to the 4th power sin squared left parenthesis, "b" , right parenthesis cos left parenthesis, 2 "b" , right parenthesis minus "s" to the 4th power cos squared left parenthesis, "b" , right parenthesis cos left parenthesis, 2 "b" , right parenthesis Over left parenthesis, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , right parenthesis Superscript, 3 halves , Baseline , EndFraction plus StartFraction, 3 "s" to the 6th power sin squared left parenthesis, "b" , right parenthesis sin squared left parenthesis, 2 "b" , right parenthesis Over 4 left parenthesis, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , right parenthesis Superscript, 5 halves , Baseline , EndFraction minus StartFraction, 3 "s" to the 6th power cos squared left parenthesis, "b" , right parenthesis sin squared left parenthesis, 2 "b" , right parenthesis Over 4 left parenthesis, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , right parenthesis Superscript, 5 halves , Baseline , EndFraction minus StartFraction, 15 "s" to the 8th power cos squared left parenthesis, "b" , right parenthesis sin squared left parenthesis, "b" , right parenthesis sin squared left parenthesis, 2 "b" , right parenthesis Over 4 left parenthesis, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , right parenthesis Superscript, 7 halves , Baseline , EndFraction plus StartFraction, 3 "s" squared cos left parenthesis, "b" , right parenthesis sin left parenthesis, "b" , right parenthesis left parenthesis, negative "s" to the 4th power cos left parenthesis, 2 "b" , right parenthesis sin left parenthesis, 2 "b" , right parenthesis minus "s" to the 4th power cos left parenthesis, "b" , right parenthesis sin left parenthesis, "b" , right parenthesis cos left parenthesis, 2 "b" , right parenthesis , right parenthesis Over left parenthesis, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , right parenthesis Superscript, 5 halves , Baseline , EndFraction minus StartFraction, 3 "s" to the 6th power cos left parenthesis, "b" , right parenthesis sin left parenthesis, "b" , right parenthesis cos left parenthesis, 2 "b" , right parenthesis sin left parenthesis, 2 "b" , right parenthesis Over left parenthesis, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , right parenthesis Superscript, 5 halves , Baseline , EndFraction plus StartFraction, 2 "s" to the 4th power cos left parenthesis, "b" , right parenthesis sin left parenthesis, "b" , right parenthesis sin left parenthesis, 2 "b" , right parenthesis Over left parenthesis, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , right parenthesis Superscript, 3 halves , Baseline , EndFraction plus StartFraction, 4 "s" squared cos left parenthesis, 2 "b" , right parenthesis Over StartRoot, "l" squared minus "s" squared sin squared left parenthesis, "b" , right parenthesis , EndRoot , EndFraction plus "s" cosine left parenthesis, "b" , right parenthesissnapx=2s4sin22b+2s4cosbsinbsin2b−2s4cos22b+s4sin2bcos2b−s4cos2bcos2bl2−s2sin2b32+3s6sin2bsin22b4l2−s2sin2b52−3s6cos2bsin22b4l2−s2sin2b52−15s8cos2bsin2bsin22b4l2−s2sin2b72+3s2cosbsinb−s4cos2bsin2b−s4cosbsinbcos2bl2−s2sin2b52−3s6cosbsinbcos2bsin2bl2−s2sin2b52+2s4cosbsinbsin2bl2−s2sin2b32+4s2cos2bl2−s2sin2b+scosb
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If someone wants to add crackle and pop go ahead but that is a big derivative