{VERSION 5 0 "IBM INTEL LINUX" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 261 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "Digits:=10;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'DigitsG\"#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 43 " K is the universal gravitational constant ." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 256 20 "MJ is mass of Janus." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 257 25 "ME is mass of Epimetheus." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 258 13 "MS is Saturn." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 259 28 "R is the radius from Staurn." }}{PARA 0 "" 0 " " {TEXT -1 0 "" }{TEXT 260 48 "ro is the distance between Epimetheus a nd Janus." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 261 52 "vo is the ra dial velocity. FS force due to Saturn. " }}{PARA 0 "" 0 "" {TEXT 263 21 "FAcc is Centripital. " }}{PARA 0 "" 0 "" {TEXT 264 34 "F2 is the f orce between the moons." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 262 23 "Om is angular velocity." }}{PARA 0 "" 0 "" {TEXT 265 42 "vT is tan gential velocity and is constant." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "K := 6.67*10^(-11);" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "MJ := 2.1*10^(18);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "ME := 5.6*10^(17);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ":" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "MS := 5.7*10^( 26);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "R := 1.51*10^8;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"KG$\"++++qm!#?" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#MJG$\"+++++@\"\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%#MEG$\"+++++c\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#MSG$\"++++ +d\"#<" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"RG$\"++++5:!\"\"" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "mult :=0.863299;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%multG$\"'*Hj)!\"'" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 1 ":" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "vy := 0; " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "vT := 1.590*10^4;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "vT2 :=vT;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "L := 100000;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "sine := 0.107; " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "ro := L*sine;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "Om2 := vT2/(R+ro);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "FS := -K*MS*ME/(R+ro)^2;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "FAcc := ME*Om2^2*(R+ro);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "F2 := -K*MJ*ME*ro/L^3;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "FT := FS + F2 + FAcc;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "Om := vT/R;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ":" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#vyG\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#vTG$ \")++!f\"!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$vT2G$\")++!f\"!\"$ " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"LG\"'++5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%sineG$\"$2\"!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >%#roG$\")++q5!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$Om2G$\"+Bb!H0 \"!#8" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FSG$!+esEO$*\"\")" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%%FAccG$\"+x22v$*\"\")" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%#F2G$!++W*HR)\"\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FTG$\")D0TI\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >%#OmG$\"+K,)H0\"!#8" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "dvx := K*MJ*sqrt(L^2 - ro^2)/L^3;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "d vy := FT/(2*ME);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "vT2 := vT2 + dv x/2.0;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "vy := vy +FT/ME;" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "Om2 := vT/(R+ro);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dvxG$\"+5'eER\"!#6" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dvyG$\"+YaA:F!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$vT2G$ \"+'p++f\"!\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 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"" 1 "" {XPPMATH 20 "6#>%#vyG$\"+-@V:F!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$Om2G^$$\"+U\"z)Q5!#8$\"+fd!eR&!#=" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#roG$\"+=+N8B!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FSG$!+ Jg#z0*\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%FAccG$\"+X5TS!*\"#7 " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#F2G$!+ZKd9=\"\")" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%#FTG$\"+&zB$R!*\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dvxG^#$\"+F0GPK!#5" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%$dvyG$\"+:[#32)!\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$vT2G^$$ \"+7J+!f\"!\"&$\"+HO\"p()*!#5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#vy G$\"+)f[o(G!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$Om2G^$$\"+7P4P5! #8$\"+6]IUk!#=" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#roG$\"+`S'Hf#!\"$ " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FSG$!+mj(\\-*\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%FAccG$\"+=!**o0*\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#F2G$!+f-!R.#\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 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}}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FSG$!+k!z R&*)\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%FAccG$\"+0[t#4*\"#7" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#F2G$!+knf5D\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FTG$\"+Z$)e\"4*\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dvxG^#$\"+`)>5[%!#5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dvy G$\"+&f*[<\")!\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$vT2G^$$\"+7J+! f\"!\"&$\"+anR&f\"!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#vyG$\"+i1 $HO$!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$Om2G^$$\"+*zD6.\"!#8$\" +1OiM5!#<" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#roG$\"+@q')GN!\"$" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FSG$!+5!))f\"*)\"\")" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%%FAccG$\"+*H'37\"*\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#F2G$!+g],oF\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >%#FTG$\"+**y\"46*\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dvxG^#$\" +1!**3%\\!#5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dvyG$\"+D\"[Z8)!\"' " }}{PARA 11 "" 1 "" {XPPMATH 20 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"" {XPPMATH 20 "6#>%$dvyG$\"+]5$=<)!\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%$vT2G^$$\"+7J+!f\"!\"&$\"+xO15C!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#vyG$\"+r%>@&Q!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$Om2G^ $$\"+'3iU-\"!#8$\"+ge`_:!#<" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#roG$ \"+v.06Y!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FSG$!+3$3Cz)\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%FAccG$\"+'G**e<*\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#F2G$!+E5(oh$\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FTG$\"+e$eY<*\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%$dvxG^#$\"+J#zrX'!#5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dvyG$\"+ ]#f;>)!\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$vT2G^$$\"+7J+!f\"!\"& $\"+RE#Ht#!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#vyG$\"+cE&f,%!\"% " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$Om2G^$$\"+N.y@5!#8$\"+#H_iv\"!# <" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#roG$\"+#)RX/]!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FSG$!+\"y>\"[()\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 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1 "" {XPPMATH 20 "6#>%$Om2G^$$\"+OL`; 5!#8$\"+\"**[O@#!#<" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#roG$\"+da^Se !\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FSG$!+#3-^l)\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%FAccG$\"+;qR[#*\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#F2G$!++OD\"e%\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%#FTG$\"+!QtqC*\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dvxG^#$\" +*y5'z\")!#5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dvyG$\"+?bJc#)!\"' " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$vT2G^$$\"+7J+!f\"!\"&$\"+iKWrQ! \"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#vyG$\"+6R+5X!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$Om2G^$$\"+\\1x85!#8$\"+&)[RoC!#<" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#roG$\"+K&fKG'!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FSG$!+hLW1')\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%FAccG$\"+^U]u#*\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#F2G $!+6&Q&G\\\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FTG$\"+`2:t#*\"# 7" }}{PARA 11 "" 1 "" {XPPMATH 20 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}}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#vyG$\"+\"**R`<&!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$Om2G^$$\"+?N#=+\"!#8$\"+TUwsO!#<" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#roG$\"+b!y+A)!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%#FSG$!+RAL)R)\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%FAccG$\"+; Cr)Q*\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#F2G$!+mMwZk\"\")" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FTG$\"+1yA(Q*\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dvxG^#$\"+I6I^6!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dvyG$\"++MX\"Q)!\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$vT2 G^$$\"+7J+!f\"!\"&$\"+*pFZS'!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>% #vyG$\"+f!pHM&!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$Om2G^$$\"+(G( >')**!#9$\"+UGcAS!#<" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#roG$\"+3N*f u)!\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FSG$!+B`7V$)\"\")" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%%FAccG$\"+5Ss>%*\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#F2G$!+StGgo\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 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