{VERSION 6 0 "IBM INTEL NT" "6.0" }
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{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 
2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Warning" -1 7 1 
{CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 
0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 
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1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }}
{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "with(plots),with(plottools),with(li
nalg):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords \+
has been redefined\n" }}{PARA 7 "" 1 "" {TEXT -1 43 "Warning, the name
 arrow has been redefined\n" }}{PARA 7 "" 1 "" {TEXT -1 80 "Warning, t
he protected names norm and trace have been redefined and unprotected
\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "#####################
##############################################" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 11 "Digits:=35;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#>%'DigitsG\"#N" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 80 "orb:=0;#
select type of orbit: [0=geodesics,1=Earth orbit,2=transit,3=Moon orbi
t]" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$orbG\"\"!" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 39 "G:=1;#Gravitational constant:N*(m/kg)^2" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"GG\"\"\"" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 25 "ME:=2;#mass of earth (kg)" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#MEG\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
24 "MM:=2;#mass of moon (kg)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#MMG
\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "RE:=6378.1*10^3;#r
adius of Earth (m)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#REG$\")+5yj!
\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "RM:=1737.1*10^3;#ra
dius of moon (m)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#RMG$\")+5P<!\"
\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "#####################
##############################################" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 44 "m:=1000*10^3;#mass of trajectory object (kg)" 
}}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"mG\"(+++\"" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 18 "M:=[ME,MM];#masses" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"MG7$\"\"#F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 17 "R:=[RE,RM];#radii" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"RG7$$
\")+5yj!\"\"$\")+5P<F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "#
##################################################################" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "t0:=0;#start time" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%#t0G\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 15 "t1:=1;#end time" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%
#t1G\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "s:=[];#trajec
tory path" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"sG7\"" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "T:=0;#total time" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%\"TG\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 67 "################################################################
###" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "N:=30;#steps" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"NG\"#I" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 67 "###################################################
################" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "ve:=(m,
r)->sqrt(2*G*m/r);#escape velocity" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%#veGf*6$%\"mG%\"rG6\"6$%)operatorG%&arrowGF)-%%sqrtG6#,$**\"\"#\"\"
\"%\"GGF39$F39%!\"\"F3F)F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 67 "################################################################
###" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "if orb=0 then #setup
 parameters depending on orbit" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 24 " \+
deps:=1e-1;#cauchy eps " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 " dmin:=4
;#overflow" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 24 " DM:=1;#distance to m
oon" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 33 " vr:=sqrt(2);#visualization \+
range" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 " r:=DM/sqrt(2);" }}{PARA 
0 "> " 0 "" {MPLTEXT 1 0 38 " P1:=[0,0];P2:=[r,r];#planet positions" }
}{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 " L:=[P1,P2];#ditto" }}{PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 23 " CF:=L[1];#center frame" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 3 "fi;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%depsG$\"\"\"
!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%dminG\"\"%" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%#DMG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%
#vrG*$\"\"##\"\"\"F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG,$*&\"\"
#!\"\"F'#\"\"\"F'F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#P1G7$\"\"!F&
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#P2G7$,$*&\"\"#!\"\"F(#\"\"\"F(F
+F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"LG7$7$\"\"!F'7$,$*&\"\"#!\"
\"F+#\"\"\"F+F.F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#CFG7$\"\"!F&" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "#########################
##########################################" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 29 "x1:=CF[1]-vr;#plotting ranges" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#x1G,$*$\"\"##\"\"\"F'!\"\"" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 13 "x2:=CF[1]+vr;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#>%#x2G*$\"\"##\"\"\"F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "
y1:=CF[2]-vr;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G,$*$\"\"##\"\"
\"F'!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "y2:=CF[2]+vr;
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y2G*$\"\"##\"\"\"F&" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "loc:=Lmin(L,M):#loc of heaviest bod
y" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "d:=unapply(sqrt((A[1]-
B[1])^2+(A[2]-B[2])^2),A,B):#Euclidian distance" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 67 "##############################################
#####################" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "n:
=3;#dimension for visualization" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%
\"nG\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "##############
#####################################################" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "Mmax:=max(seq(M[i],i=1..nops(M))):#
maximum mass on list L" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "L
min:=proc(L,M)" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "local j,k;" }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "for k from 1 to nops(M) do" }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 " if M[k]=Mmax then" }}{PARA 0 "> " 
0 "" {MPLTEXT 1 0 7 "  j:=k;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 4 " fi;
" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "od:" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 5 "L[j];" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "end:" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "############################
#######################################" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 62 "F:=unapply(G*m1*m2/max(d(A,B),dmin)^2,A,B,m1,m2):#New
ton's Law" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "fx:=unapply(F(
A,B,m1,m2)*cos(arctan(B[2]-A[2],B[1]-A[1])),A,B,m1,m2):" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "fy:=unapply(F(A,B,m1,m2)*sin(arctan
(B[2]-A[2],B[1]-A[1])),A,B,m1,m2):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 67 "#####################################################
##############" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "Fx:=proc(
P,L,M)#Fx total for body @P" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "loca
l i,f;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "f:=0;" }}{PARA 0 "> " 0 "
" {MPLTEXT 1 0 26 "for i from 1 to nops(M) do" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 31 " f:=f+evalf(fx(P,L[i],m,M[i]));" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 3 "od;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "f;" }}{PARA 
0 "> " 0 "" {MPLTEXT 1 0 4 "end:" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 36 "Fy:=proc(P,L,M)#Fy total for body @P" }}{PARA 0 "> " 
0 "" {MPLTEXT 1 0 10 "local i,f;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "
f:=0;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "for i from 1 to nops(M) do
" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 31 " f:=f+evalf(fy(P,L[i],m,M[i]));
" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "od;" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 2 "f;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "end:" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "############################
#######################################" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 61 "Fxmax:=abs(Fx(loc+[1e-8,1e-8],L,M)):#max fx applied t
o object" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "Fymax:=abs(Fy(l
oc+[1e-8,1e-8],L,M)):#max fy applied to object" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 59 "Fmax:=evalf(sqrt(Fxmax^2+Fymax^2)):#max f appl
ied to object" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "##########
#########################################################" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "M2R:=proc(M)" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 14 "if M=M[1] then" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 " \+
1;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "elif M=M[2] then" }}{PARA 0 "
> " 0 "" {MPLTEXT 1 0 3 " 2;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "fi;
" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "end:" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 67 "###################################################
################" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "BI:=pro
c(L,M)#body indicator" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "local mi,p
,s;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "mi:=evalf(M/ME,5);" }}{PARA 
0 "> " 0 "" {MPLTEXT 1 0 11 "if n=2 then" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 38 " p:=circle(L,BR,color=black,axes=box):" }}{PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 13 "elif n=3 then" }}{PARA 0 "> " 0 "" {MPLTEXT 1 
0 79 " p:=sphere([L[1],L[2],0],mi,color=black,axes=box,scaling=constra
ined,axes=box):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "fi;" }}{PARA 0 ">
 " 0 "" {MPLTEXT 1 0 2 "p;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "end:" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "#########################
##########################################" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 62 "BS:=proc(L,M,n)#body indicators for entire gravitat
ional field" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "local k,BL;" }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "BL:=[];" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 26 "for k from 1 to nops(L) do" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 37 " if evalf(d(CF,L[k]))<=evalf(vr) then" }}{PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 31 "  BL:=[op(BL),BI(L[k],M[k],n)];" }}{PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 4 " fi;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "od;" 
}}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "BL;" }}{PARA 0 "> " 0 "" {MPLTEXT 
1 0 4 "end:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "############
#######################################################" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "MI:=proc(L,M,n)#mass indicator rela
tive to earth" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "local mi,p;" }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "mi:=evalf(M/ME,5);" }}{PARA 0 "> " 
0 "" {MPLTEXT 1 0 11 "if n=2 then" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
66 " p:=textplot([L[1],L[2],`mi`],align = RIGHT,color=black,axes=box):
" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "elif n=3 then" }}{PARA 0 "> " 
0 "" {MPLTEXT 1 0 70 " p:=textplot3d([L[1],L[2],0,`mi`],align = RIGHT,
color=black,axes=box):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "fi;" }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "p;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 
0 4 "end:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "##############
#####################################################" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "MS:=proc(L,M,n)#mass indicators for
 entire gravitational field" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "loca
l k,BL;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "BL:=[];" }}{PARA 0 "> " 
0 "" {MPLTEXT 1 0 28 "for k from 1 to nops(L) do  " }}{PARA 0 "> " 0 "
" {MPLTEXT 1 0 37 " if evalf(d(CF,L[k]))<=evalf(vr) then" }}{PARA 0 ">
 " 0 "" {MPLTEXT 1 0 31 "  BL:=[op(BL),MI(L[k],M[k],n)];" }}{PARA 0 ">
 " 0 "" {MPLTEXT 1 0 3 " fi" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "od;" 
}}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "BL;" }}{PARA 0 "> " 0 "" {MPLTEXT 
1 0 4 "end:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "############
#######################################################" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "CR:=proc(A,L,M)#true if on planet c
rash" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "local k,cr;" }}{PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 10 "cr:=false;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
26 "for k from 1 to nops(M) do" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 41 " \+
cr:=cr or evalf(d(A,L[k]))<=evalf(R[k]);" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 17 " if cr then exit;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
4 " fi;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "od;" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 3 "cr;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "end:" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "############################
#######################################" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 34 "S:=proc(P,u)#P trajectory on plane" }}{PARA 0 "> " 0 
"" {MPLTEXT 1 0 16 "local a,v,ds,NP;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 
0 11 "global s,T;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "a:=evalf([Fx(P
,L,M)/m,Fy(P,L,M)/m]);#acceleration" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
27 "v:=evalf(u+a*dt);#new speed" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "
ds:=evalf(u*dt+1/2*a*dt^2);#ds" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "N
P:=evalf(P+ds);#new location" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "T:=T
+dt; " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "if T>sT then" }}{PARA 0 ">
 " 0 "" {MPLTEXT 1 0 24 " print(\"clock stopped\");" }}{PARA 0 "> " 0 
"" {MPLTEXT 1 0 30 "elif evalf(d(P,NP))<=deps then" }}{PARA 0 "> " 0 "
" {MPLTEXT 1 0 30 " print(\"object escaped\");exit;" }}{PARA 0 "> " 0 
"" {MPLTEXT 1 0 26 "elif CR(NP,L,M)=true  then" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 36 " print(\"object crashed on\",NP);exit;" }}{PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 4 "else" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 " s:=
[op(s),NP];" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 " S(NP,v);" }}{PARA 0 
"> " 0 "" {MPLTEXT 1 0 3 "fi;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "end
:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "######################
#############################################" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 46 "SGW:=proc(s,n)#trajectory in gravity well=SxGW" 
}}{PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "local DP,k,z,p1,p2,p3;" }}{PARA 
0 "> " 0 "" {MPLTEXT 1 0 7 "DP:=[];" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
26 "for k from 1 to nops(s) do" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 " \+
if n=2 then" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "  p1:=pointplot(s[k]
,symbol=diamond,symbolsize=25,color=red,axes=box);" }}{PARA 0 "> " 0 "
" {MPLTEXT 1 0 14 " elif n=3 then" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
57 "  z:=1-evalf(sqrt(Fx(s[k],L,M)^2+Fy(s[k],L,M)^2)/Fmax);  " }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 85 "  p1:=pointplot3d([s[k,1],s[k,2],z]
,symbol=diamond,symbolsize=25,color=red,axes=box);" }}{PARA 0 "> " 0 "
" {MPLTEXT 1 0 4 " fi;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 " p2:=MS(L
,M,n);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 " if n=2 then" }}{PARA 0 "
> " 0 "" {MPLTEXT 1 0 32 "  DP:=[op(DP),[display(p1,p2)]];" }}{PARA 0 
"> " 0 "" {MPLTEXT 1 0 5 " else" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 " \+
 p3:=GW;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "  DP:=[op(DP),[display(
p1,p2,p3)]];" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 4 " fi;" }}{PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 3 "od;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "DP;" }
}{PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "end:" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 67 "#####################################################
##############" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "Planet:=p
roc(L,R,n)" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "local p;" }}{PARA 0 ">
 " 0 "" {MPLTEXT 1 0 11 "if n=2 then" }}{PARA 0 "> " 0 "" {MPLTEXT 1 
0 28 " p:=circle(L,R,color=black);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
13 "elif n=3 then" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 60 " p:=sphere([L[
1],L[2],0],R,color=black,scaling=constrained);" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 3 "fi;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "p;" }}{PARA 
0 "> " 0 "" {MPLTEXT 1 0 4 "end:" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 67 "#####################################################
##############" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 115 "GW:=plot3d(sqrt(Fx([x,y],L,M)^2+Fy([x,y],L,M)^2)/F
max,x=x1..x2,y=y1..y2,axes=box,orientation=[20,70]):#Gravity well" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 134 "GEO:=complexplot3d([Fx([x,y
],L,M)/Fxmax/sqrt(2),Fy([x,y],L,M)/Fymax/sqrt(2)],x=x1..x2,y=y1..y2,ax
es=box,orientation=[20,70]):#Geodesic" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "BSs:=BS
(L,M,3):#bodies" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "MSs:=MS(
L,M,3):#masses" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "display(G
W,GEO,MSs);#gravity pool and bodies with masses" }}{PARA 13 "" 1 "" 
{GLPLOT3D 496 496 496 {PLOTDATA 3 "6)-%%GRIDG6%;$!05tBc8UT\"!#9$\"05tB
c8UT\"F)F&X,%)anythingG6\"6\"[gl'!%\"!!#\\bm\":\":3FF00000000000003FEF
FFC5E6BDE37C3FEFFEF52D64DE863FEFFD4FD84511563FEFFA89A316C4EA3FEFF6490D
B68C6F3FEFF02B77C699F03FEFE7CD8BB922823FEFDCD8C8DBE8713FEFCF15C6A2E67D
3FEFBE80C770FBDE3FEFAB5BDE3CDF113FEF96386F9B08E23FEF7FF292DAAD673FEF69
9C611B01F43FEF545C841E636A3FEF4147DE5AAD913FEF313FA23F81303FEF24DB1094
205C3FEF1C5FC75D9B5A3FEF17C73E5A685E3FEF16CD573682E83FEF1903289180AC3F
EF1DE1E2A126203FEF24DB1094205C3FEFFFC5E6BDE37C3FF00000000000003FEFFFB1
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