½ ¾ !""#!"
" $ % &#'
() * +"#"
, -.)/ 0. )+ ( ( 12 -.)/ 0. )+ + +.
!" # $% &'" &(&'" &)&*
+
" , " -. " " / 01 234 0 )!" 5!1 " " 6 " 7" 8" 9 6 /" " " : " ; && %&%<%" 8#/ + 6 6 6 6 6
6 6 6 " " 6 ," 6 = 0 " 1 -
" 06 0 (!11 > 6 " 6 6 6 ?" ?" 6 " 6 ' 6 @/ 0 !1
" ,6
" 6 6 " ) 0
1 A . 5 6 2 4 A " 6
8B7 0 1 6 >
" : C 0 (!"D!1
? " B 6 6 : A , "
6 E 0 %! !1 96 > " " " -BE 0 %!" D!" $!" %!1 + 9 "
, F " 6 + 6 G " 6 6 B %! ! 6
" 6 " > 6 F "
6 ?6
5!" 6 F " 6 ? 6 + 6 6 " 6 7 5 6 ? 6 6 3 6 = " 6 B
B:B " = G 6 6 ;
;5 6 " 6 6 ; & & + 6 6 %! ! ? 6 "
) F 2E 4 . : F 6 0" 1 " &" : " 6 '" F 6 ; &" 6 H F 6 ; & -
A ; & F = &$ &D$ 6
" : -
0 5 1 F &<( -
6 0 55 1 96 -. ." + 6 F F " 6
96 0 51 0
1 0 551
Energy -1.507
0.3
0.2
0.1
0
-0.1
-0.2
-0.3
-0.98
? = ; %&D
-0.96
-0.94
-0.92
-0.9
; & &
-0.88
-0.86
-0.84
-0.82
-0.8
-0.78
-0.76
5
6 96" 6 " " 6 9 6 " 6 & !" F 0 & &1 0 & &1" I " 6 B
: 0 $!1
J K ; L J M K ; L J ; L 6
L ; 0 M 1 M M M 0 1
; 0 1 M M " ; 0 M 1 M M : F " N
" 6 F 0 1 ; L K K K F
" 6 " " 6
0 M 5 &1" "
6 ; ; & + ; 5" 6 6 ¾ ½ ¿ ? " ¾ ½ 5 M 01 ¿ ; M 01
; K " ; K M ; K " 6 , 6 , 0 1 ; 0 M M 1 M : K ; M K ; K ; 0 1 0 M 1
K ; K ; K ; 01
6 G 6 , 24" N " " ; 0 1
)
3 ," 6 6 ;
M M 0 1 M M 6 0 " 1 + ? 0 %!1
8
L1
7
6
c2
5
4
3
L2
2
L3
1
0
0.1
0.2
0.3
0.4
0.5
µ
? =
01 & &%! ? " " " 6 ; 01 ; M 0 1 M 0 M 1
; " 6 01 ; & ;
$
< " " 6 & & 6 ; - 01 H6 , 01 B B H6 " 6 ; 01 =
01 ; M 0 1 M 0
1
%
"
7 ; " F ; M ; " 6 9=
= " + = " + ; 6 0 ; " 1
= + " ; + " " " ; + " " 6 # #
+ " # 0 1 3 0 " M 0 11"
6 ? " + 6 6" 6 6 + ; " ? "
6 # 6 6 6 9 F =
" " 6 9 6 9 " 6 G 6 0 <!1" Æ G 6 01 6 :
(
' , " 01" 6 BF 01 H6 01 01 ; 0011 01 ; - !01 ; & 01
!01 ; &" !01" " F 6 01 ; &
01 ; &
01
; &
; & 01 Ü ½ 0 1 ; &
6 01 ; & ; ( M ( M 96= " >
" F 01" !01 ; &
+ >6O " 01" 01 01 01 F " 01 : !0
Ü
011 &"
6 ! 0
Ü
011
Ü
01
01 ; ! 0 011 0 011
Ü
Ü
+ !01 ; & " !0
Ü
011 6 7 01 + 6 F "
01 6 " 6
A 9 96 01 6 : " 6 6 ? 6 " 2 964 6
6 9 96 F 6 96 01 6 6 0 1 7
=
F = 6 96
" F = 6 F 96
" F 6 = 6
96 D
96" 6 >6O - # 0 1 ; &" F 6
# 0 1$ ; # 0 1
051
;
$ F % # 0 1
G 9 " F" 051 #9 # " 6 69 # " P 3 07* )!1 G 7* 6 Æ" :" 6 " 6 6 ! " , " A 6 " 6 6 D!
A 96 01 6 6 7
=
' 6 = 6 " ' 6 = 6 - # 0 1 ; & Q
" 6 6 " 6 7 # 0 1 ; &" " " @ # 0 1 " 6 6 = "
G $ ; M Æ& 0)1
Æ " & @ # 0 1 & ; G F $ ;= $ >6O =
# 0$ 1' ; # 0$ 1
0%1
$
; $ ' G 9 6 " " F $ # 0$ 1
$ $ <
" Æ" 9 F
> " # 0 1 ; & " 0%1 # 9 G 0%1 6 8
" F 24 + 6 7*" 9 # 0 1 & B 0%1
6 0 1 96 " " 6 9 F" " " 6 " # 0 1 ; & F 9
? 3 " 9 B 9 5!
'" 01" 01 01 G 9 3 B ( = ; 0) ; ( 1" ( 0* M +1 ; 0( 0*11
* + 0(1
6 ; 0 1 - " ; " * ; 0, 1
+ " 9 3
6 " 6 9 3 ; 0 , ; ,1 " 6 ¾ " ¾ 0( 0, 11 ; ( 0, M 1
, 0D1
" 6 9 3 - = -0, M 1 ; Æ 0-0, 11
, 0<1
6 Æ ; ; Æ > 6 9 6# 3 6 3 ; 0(1 6 " ( 0, 1 ; ¼ Æ -0, ¾
1 0$1
+ " 3 - 0<1" 0$1 F
3 -0, 1½ 0(1"
6 6
$
( - 0( 0, 11 ; ( 0, 1 M +0 1 Æ Æ
0 &1
# , # - G #
" 6 ( 0, M 1 ; ¼ ÆÆ -0, 1 ; ¼ Æ Æ -0, ¾
¾
1
; ¾¼ Æ -0, 1 ; (0, 1
?"
¾
1
M + Æ M+
; · ¾Æ ¼ Æ - , Æ
¾
; (0, M + Æ M + Æ 1
0( 0, 11 ; ¼ Æ -0, > 0<1 F " F 6 M " ? 0 &1" 00 M 1Æ Æ 1" 6 :
0Æ Æ1 6
( =
.
% % ; & % ; & !
0( 0*11 ; ( 0* M + 1
* + " / # . . ! Æ 0 ; /$ ( = $$(0*1 ; (0*1 !
* + 0( 0*11 ; ( 0* M +0 1
(0*1 ; 1 "
1 ( 0+1 ;
( 0*1 ;
;
1 1 &
; (00+1
" + "
( 00+1 ; ( 0+1 ; 0( 0&11 ; 0( 0&11
0 1
>6 * & ! 6 00 1R * 0 1" 6 6 0* * 1R ; 0* *01! * * 01!1
! " + " # (" 6 ( 0* M +0 1 ;
(0 0 M +0 1 ; 0 0(0&111
; 0(00 11 ; 0(0 0 R 11
; 0(0*11
6 # $ G 6 9 - ? "
-0, 1 ; /
M 0/ 0%, 1 M 2
0%, 11
0 1
6 / 2 (0*1¾ 6
=
? 6 : - 0 1" " : (0*1¾
Q
3 0 1" , " -0, , 1 : 3 6
: ? -0, 1½ (0*1¾
+" ? -0, , 1 ; /
M 0/ 0%, 1 M 2 0%, 11
/ ; / 0%, 1 2 0%, 1
2 ; / 0%, 1 M 2 0%, 1
0 51
G 6 2Æ 4" 6 A F 9 0 961 / ' 9 " 6 9 " % " 0/ 2 1 ; 0& &1 0 /
B / 1" 0 51 , / ; & / ; & 6 6 " 2 : 3 I 6
9 % ; 3 0/ 2 1
+ 2 : 3" %
%" " &
+ 6 " 6 6 + 9 (0*1 . " Æ '" 6 6 9 3 - ; - - - - 0,1 ; 0- 0,11 0 ; & 1
0 )1
- 0, M 1 ; 0- 0, 11
Æ
Æ
, ! ?6 5!" 6 6 0 )1 F 3 3 M
, G 6 9
, ; 0 ; & 3 1
0 %1
M 3
+ ? Æ" 6 Æ" 96 + " 6 6 6 96 6 0- 0&11 ; &" 6 6 + " ? Æ ; 0/ / 2 / 2 1
S0, 1 ; / M 0/ 0%, 1 M 2 0%, 11
" 0S0& 11 ; &
S0, 1 0S0, 11 ; & ; & ; & 3
0 (1
S0, M 1 0S0, 11 ; & ; & 3 6 96 Æ ? Æ - 0 )1 " S0, 1 0S0, 11 ; & ; Æ
Æ
Æ
' ( + F " 6 F 6 96 0 (1 G "
6 Æ 6 6 96 6 9 6 6 6 6#
' " 6 96 " 6 55
96" 6 >6O 8 051 6 # 0 1 ; & 01" 6 P 7* " Æ 6 )
) " G # = " 6 " 6 7 # 0 1 ; &" @ # 0 1 > " '" 69 24 " 6 = " 6 6 $ ; M Æ& 6 & ; " & @ # 0 1" 6 >6O Æ " 6 6 : 6 0 (1
6 96" F # 0 6#1 - #0 1 ; & @ #0 1 6# Æ B
G & @ #0 1 Æ
" 6 : 0 51 6 ,
+ " 6 6 #0 1 ; & 96"
6 6 6 =
G 6 / 2 " 6 4 0/ 2 1
; 0/ 2 1
6 6 / 2 " 6 6 0/ 2 1 9 6= " " / ; & 2 ; 5
+ 6 2 " 6 0/ 2 1
5 6 6 0/ 2 1
+ / : 3 "
6 6 Æ 6 F G Æ ? Æ : 3
5
" 9#F
G P 6 7* Æ 6 ) )5
* + + 3 " 6 5!=
6 0 (1 F 3 0 %1 " 6 3 S0* 1 0S0* 11 S0* M 1 0S0* 11 Æ
Æ
0 D1
; %&
* ; % G ; &
Q
6 " 6 H6 - 01 ; G 3 + H6 Ý 01 ; 01 M 010 1
- 0 M 0 " ; 01"
( M ( F 0, 1 ;
M 60( , M ( ,1 ,
M 6 0( , ( ,1 ,
0 <1
6 6 6 6
! %
, & ! 0, M 0 1 Ü
¼ 0 0, 11 ; &
0 $1
7 ( M ( 7 " 6 0( M ( 1 ; 0 0 M 0 10( M ( 1
; 0( 0 ( 0 1 M 0( 0 M ( 0 1
6 6 0 0
( ( ! ; ( ( !
0 0
)
; ( (!7 0&1
6 ( (! ( 6 ( " ( 7 ;
, >6"
, ,
, ,
0, , 1 0, , 1
0 0, 11 ; M ( ( ! 0, , 1 0, , 1
ܼ
6 &
; M ( ( !7 7 6
;
M ( (!7
;
M ( (!7 & ; 0, M 0 1
¼
6
&
6
¼
&
¼
> 0 $1 3 0<1 G 0$1 # " 6 6 " H6 " ! 0, 1 ; ܼ 0 0, ¾
0 11
0 1
" F ܼ 0 ¾
0 0, 11 ; 0, 1 M +0 1 !
!
" 6 F 6
00 1
> " 7 " 0 6 =
0 M 01
6" " " ;
&
G " 6 6 H6 G
6 ! & ,"&""- 6 9 24 " " 9
Æ 0<1 G 6 9 %
! 0, &1½ ? 0 1" 0 $1 0 <1" 6 6 9 ; 0 1
/ ; Æ ; / ; 6 0( , M ( , 1
051
; 0
2 ; 6 0( , ( , 1
/ 2 ; &
0 1
+ " ? Æ 9 ܼ 0 0, 11 ; 0 1 M 6 0 , M , 1 ,
M 6 0 , ,1 ,
6 ; 01(
> , + 3 6 6 Æ +" F 051" 6 9 3 / 2 " 6 6 2 94 " 6 + " 96 Æ " 6 6 " 6 F 96 0 1 6 6 ! & ,(""- 6 9 24 " 9
Æ 0<1 G 6 9 ! 0& 1"½ 0 " 1" 6
6 ? Æ / / 2 ? ! 0& 1 ; 0 0 1 ¾
6 Æ ?? ! 0& 1 3 + " 6 9 ? Æ - ? 0! 0& 11
Æ 9 F 01
Æ;
0)1
0 M " 6 0<1 0D1 0 6 1" 9 Æ 01" Æ
0
1
;Æ ;
0 M (
0%1
+ 6 6 G 6 " ' . " F " 6 5 6 & " 6 H6 " F H6 6 )
A 6 " 6 Æ 6=
G 6 6 %
G % + " 6 5 G 9 0 6 9 " Æ " ? Æ 31 + 06
% 1" 6 +
" F ) G 9 0 D1 " F" 6 3 " 3 6 ? Æ % G Æ 9 >6 6 6 =
3 6 + )" 3 6 6 0 D1
+ " 5 %" > 6 9 ' / & 0
: F 9=
D
0 (1 : M 3 H6 : 0 1 F 6 : 0 (1 B
F F 0 )1 F # 0
%1
0 D1 0 M
3 1 H6 0 1
3 6" + F 0 )1" >6O 0 M 0 M 3 1)1 00 M 3 1) 1 B9 " 6 P 0)!1 + 0 %1"
0 M 0 M 3 1)1 0 M 0 M 3 11" >6O 6 # 0 M 0 M 3 1)1 0 M 3 1 9#F G P 6 )! 6 7* " P 6 '"
3 9 7" 7* )3 M <3 06 )!" 6
6 1" 6 P 6 )37 70 M 3 1 M )75 ? ; 3 ; 7" (%
" 6 6 6 ; 3 ; && 06 1" 6 >6 ) 5 ) 8
>6 9 ( 5 + +++ %&& /,3
'! 1" . & 2 "
(&
- / ; 8 ) 6 ) 9 / ; ) G @ / # / ; 8 6 6 6 + 6 P 3 6 / )!" 6 6 9 /T ;
7
&
7
&
6 T ) ) " 7 7 0) 1 " 6 T ; 0
1 98 ; 0 .1" #
/ ; 8 0 )!" %$1
T ;
=
7 ; 7 <
0(1
" 3 0)!1 6 " 6
@ / 6 6 : - #
/ ; 8" 6 ; & 0(1" : :# @ /" 6 ; . ; & ; # 0(1" 6
# # 6 T ; T$ ;
6 ; ) 0) 1 6 : :# # #
; ; T 7 B #9" P 6 '' """ &
? " 6 + F
" " 69
: + " 69 F )% # 29 4 3 + B
6 )& )% Q
" + 6" 6 0)% )&1 6 " 6 )% )& F " 2 4 6 9 69 */ # 6 ? " 6 P 6 6 -'@ !"
Q8P?" Q8P?" A/P 7
" " 69 . G " 3 )
" =
? 0 (1 :" M
3 + " . 6
6 "
6 7-'@ " " $
3 P
6 6 A 7-'@
!" Q8P?" Q8P?" A/P 7
0 D1 3 . 0 M3 1
F 9" 6 !"
-
O " 6 G 6 -
-
" 6 " 8#/ " B %$) D B %<(&< B %&(&D
=
; &&
%&%<%
? " F ? " 01 "
6 7O ? 001 1" 001
1 + ? 5" 6 0 1 " 6 G 0
1" 6 01 + ? ) 6 6 " G 6 9 U
)$%$&
&) 5$
5
)<5%)
&%%<)$
&& %5D
&5&
&%)55&
=
? -
" " 6 01"
01 01 7O F" 6 6 &
-1.4959
0.41391
100
10
2
0
-2
-10
-1.5
-1
-0.5
Energy
0
-1.48354
0.55849
1e4
Stability parameters
Period
6.5
6
5.5
5
4.5
4
3.5
3
2.5
0.5
1000
6.5
6
5.5
5
4.5
4
3.5
3
2.5
1000
100
10
2
0
-2
-10
-1.5
-1
-0.5
0
Period
Stability parameters
1e4
0.5
Energy
-0.01537
0.32201 0.5433
7
6.9
6.8
6.7
6.6
6.5
6.4
6.3
6.2
3
2.5
2
1.5
1
-1.5
-1
-0.5
Energy
0
Period
Stability parameters
3.5
0.5
? 5=
! " L1
L2
L3
1
1
1
0.5
0.5
0.5
0
0
0
-0.5
-0.5
-0.5
-1
-1
-1
-0.5
0
0.5
1
-1
-1
-0.5
? )=
0
0.5
1
-1
-0.5
0
0.5
1
! # $ ! %
6 6 " 0
?(1 ? 9 6 " 6 6 + ? % 6 100
10
2
0
-2
-10
-100
-1.5
-1.4
-1.3
Stability parameters
-1.57606
-1.2
-1.1
Energy
-1.50688
-0.9
-0.8
-1.47786
-1.41765
10
9
8
7
6
5
4
3
-1.4
1000
100
10
2
0
-2
-1.6
-1.55
-1.5
Energy
-1.21177
Stability parameters
-1
-1.45
-0.89598
3.5
3
2.5
2
1.5
1
0.5
0
6.31
6.3
6.29
6.28
6.27
6.26
6.25
6.24
6.23
6.22
6.21
-1.5
-1.4
-1.3
-1.2
Period
-1.6
7.5
7
6.5
6
5.5
5
4.5
4
3.5
3
2.5
-0.7
Period
-1.47464
-1.1
-1
Energy
-0.9
-0.8
-0.7
Period
Stability parameters
-1.58718
1000
-0.6
? %=
&
! ' ,E 0 &!1" 6 5 A
6 ,E # 01 ; 1 5 ' ## "
V 1 8 V ; .
VK
VK
: 9 0 &!1=
= 7 6 # 6 1 ; " ; &
L1
L2
1.5
1.5
1
1
0.5
0.5
0
0
-0.5
-0.5
-1
-1
-1.5
-1.5
-1.5
-1
-0.5
0
0.5
1
1.5
-2
-1.5
-1
-0.5
0
0.5
1
L3
2
1.5
1
0.5
0
-0.5
-1
-1.5
-2
-1.5 -1 -0.5 0 0.5 1 1.5 2 2.5
? (=
# $ ! %
= 7 6 #" 6 1 ; " 8 ; &
'= 7 6 # #"
6 1 ; ; & 1 ; 8 ; &
+ 5 6 ? &! ; &% 6 6 + " F # 5 6
; & ? " 6 -
6B U U
0 1 8 " 6 ; & " + ? D N " 6 6 ? <
#$" " -
5
6 6 ; & 96
6 0 1 6
" " " 9 0 51 6 6 ; & 96 "
6 = 6 01 0
1 6B96 0&!1
? $ " " 6
5
43
2
100
10
1
2
-1.512
-1.51
-1.508
-1.506
-1.504
-1.502
Energy
-1.5
-1.498
-1.496
4.08
4.06
4.04
4.02
4
3.98
3.96
3.94
-1.494
Period
Stability parameters
L1
1000
100
10
2
-1.51
-1.505
-1.5
-1.495
Energy
-1.49
-1.485
4.44
4.42
4.4
4.38
4.36
4.34
4.32
4.3
-1.48
Period
Stability parameters
L2
1000
6.267
2.3
2.25
2.2
2.15
2.1
2.05
2
1.95
6.266
6.265
6.264
6.263
Period
Stability parameters
L3
6.262
6.261
-1
-0.8
-0.6
-0.4
-0.2
0
Energy
? D=
U 8 8 8 B %<D < B %D(&( B DD B % &D& B %&(<< B&$$%) 5 B )D)() ' B )DD<( ' B&<$%$< )
B ) D(% '
5= )
Planar orbit
0.2
0.1
0
-0.1
-0.2
0
-0.1
-0.2
-0.96-0.92
-0.88-0.84
-0.8
0.2
0.1
Orbit 1, lane 1
Orbit 1, lane 2
0.2
0.1
0
-0.1
-0.2
0.2
0.1
0
-0.1
-0.2
0
-0.1
-0.2
-0.96-0.92
-0.88-0.84
-0.8
0.2
0.1
-0.96-0.92
-0.88-0.84
-0.8
Orbit 2, lane 1
0.2
0.1
Orbit 2, lane 2
0.2
0.1
0
-0.1
-0.2
-0.96-0.92
-0.88-0.84
-0.8
0
-0.1
-0.2
0.2
0.1
0
-0.1
-0.2
0
-0.1
-0.2
0.2
0.1
-0.96-0.92
-0.88-0.84
-0.8
0
-0.1
-0.2
0.2
0.1
Vertical orbit
0.2
0.1
0
-0.1
-0.2
-0.96-0.92
-0.88-0.84
-0.8
0
-0.1
-0.2
0.2
0.1
? <= '( ) ) ! ! %
01 7O F ? 6 " 6 6 6 + 6 24" + 6" . 0 1 )D&5) &)DD)D + 6 " ? &" 6 F ? $
100
10
2
0
-2
-1.5
-1
-0.5
Energy
0
0.5
-1.52542
-1.51170
3.5
Stability parameters
1000
3
100
2.5
10
2
2
1.5
0
1
-2
-1.58
-1.57
-1.56
-1.55
-1.54
Energy
-1.53
-1.52
-1.51
2.8
2.7
2.6
2.5
2.4
2.3
2.2
2.1
2
1.9
0.5
-1.5
Period
Stability parameters
Period
3.2
3
2.8
2.6
2.4
2.2
2
1.8
Period
Stability parameters
-1.51081
1000
-1.2
-1.1
-1
-0.9
Energy
-0.8
-0.7
-0.6
-0.5
? $= & $ ! " -
" 6 " 6 ) F 6 " 01 ; F " 6 (
-1.47034
0.47747
Stability parameters
Stability parameters
-1.52944 -1.51
100
10
2
0
-2
-1.54
-1.52
-1.5
-1.48
-1.46
2
0
-2
-10
0.4
0.42
Energy
0.44
0.46
0.48
0.5
0.52
Energy
? &=
*+ $ !
" $
$ $ ? =
, - 6 F
" 051" 6 A " 6 G 9 "
" 6B
+ 6 6 6 U
# % &< # % D&
# % &55 # % %&
5 # %$)) # %%)
)= $ F 5 + 6 G " 6 D
" 0
)& 1
% Period
L1
18
16
14
12
10
8
6
4
-2
-1.5
-1
-0.5
Energy
0
0.5
1
0
0.5
1
Period
L2
20
18
16
14
12
10
8
6
4
-2
-1.5
-1
-0.5
Energy
? =
! %=
+ 6 24 " 6 F
) % " % F " 6 6
6 -
<
L1
35
Period
30
25
20
15
10
5
-1.6
-1.4
-1.2
-1
-0.8
-0.6
-0.4
Energy
-0.2
0
0.2
0.4
0.6
L2
20
Period
18
16
14
12
10
8
-2
-1.5
-1
-0.5
Energy
0
0.5
1
? 5=
! %$ G 6 6 9 F ? " -
" 6 + F " 6 F 9 " / 0 F F 1" / 0 9 1 / 0 Æ 1 + # " 6 9 / F 0 9 Æ " 1" 6 6
G 6 6 0 ; 1 ? Æ . F " Æ 9 / " " 6 6 6 Æ >6 ; Æ 6 F Æ 9
Æ;
0
6 0 0 0)1 0%1 6 6 $
Orbit 1, xy projection.
Orbit 1, 3D view.
0.2
0.1
0
-0.1
-0.2
-1
Orbit 1, xz projection.
0.2
0.1
0.1
0
0
-0.1
-0.95
-0.9
-0.85
-0.1
-0.2
-0.8
0.3
0.2
0.1
0
-0.1
-0.2
-0.3
-1.1
Orbit 2, xz projection.
0.25
0
0
-0.9
-0.8
Orbit 3, xz projection.
1
0.5
0.5
0
0
0
0.1
0.2
-1
-0.9
-0.8
-0.7
0.1 0.2 0.3
0.5
-1
-0.5
0
0.5
1
Orbit 3, yz projection.
1
-0.5
0
Orbit 3, xy projection.
1.5
1
0.5
0
-0.5
-1
-1.5
-1.5
-1
-0.1
-0.25
-0.3 -0.2 -0.1 0
-0.7
Orbit 3, 3D view.
-0.5
-1.5
-0.8
Orbit 2, yz projection.
0.25
-1
-0.85
Orbit 2, xy projection.
Orbit 2, 3D view.
-0.25
-1.1
-0.9
Orbit 1, yz projection.
0.2
-1
-0.95
-0.5
-1.5 -1 -0.5
1
? )=
0
0.5
1
1.5
# ./
0-.1.23. 01'4333 # "/ 0-.45.16 03'1..5 # '/ 025536' 05671'.
5&
Orbit 1, xy projection.
Orbit 1, 3D view.
0.2
0.1
0
-0.1
-0.2
-0.96
Orbit 1, xz projection.
-0.88
-0.84
-0.8
Orbit 1, yz projection.
0.15
0.15
0.1
0.1
0.05
0.05
0
0
-0.05
-0.05
-0.1
-0.96 -0.92 -0.88 -0.84
-0.1
-0.2
-0.8
0.3
0.2
0.1
0
-0.1
-0.2
-0.3
-0.96
Orbit 2, xz projection.
0.3
0.2
0.2
0.1
0.1
0
0
-0.1
-0.1
-0.88
0
0.1
0.2
-0.84
-0.92
-0.88
-0.84
-0.8
Orbit 2, yz projection.
0.3
-0.92
-0.1
Orbit 2, xy projection.
Orbit 2, 3D view.
-0.2
-0.96
-0.92
-0.2
-0.3 -0.2 -0.1
-0.8
0
0.1 0.2 0.3
Orbit 3, xy projection.
Orbit 3, 3D view.
0.4
0.2
0
-0.2
-0.4
-1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4
Orbit 3, xz projection.
Orbit 3, yz projection.
1
1
0.5
0.5
0
0
-0.5
-0.5
-1
-1
-0.4
-1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4
? %=
-0.2
0
0.2
0.4
# ./ 0-.1"61' 06'32." # "/ 0-.1.2"3 05'3"47 # '/
0-255"26 0.143325
5
7 6 ? (
-
6 !! #( & (" + ? D 6 " " " #
" # -
8 =
6 5 0 1 -
. F 6
3
¾
; " 6 0 < 0 51 -
0 1 6 > 6 0 : " " 6 C
0 " 1 C 0
1" B
6 0 5 1" ; &" 6 + 6 -
+ " 6 0 # 1
6 " 6
: 6 6 G 6 A
9 F 6 9 F + " " 2 4
" 6 6 " 6 0 1 + " " " 6
6 6 3 6" 6 && - 9
N :" 6 ; & D( 5 'I + +++ %&&/,3" && 0 % 6
1
? " 9 "
0< 1 05
5
z
z
0.04
0.02
0
-0.02
-0.04
0.04
0.02
0
-0.02
-0.04
-0.85
-0.85
-0.84
x
-0.83
-0.04 -0.02
0 y
-0.84
x
0.02 0.04
z
-0.83
-0.04 -0.02
-0.83
-0.04 -0.02
-0.83
-0.04 -0.02
-0.83
-0.04 -0.02
0 y 0.02
0.04
0 y 0.02
0.04
0 y 0.02
0.04
0 y 0.02
0.04
z
0.04
0.02
0
-0.02
-0.04
0.04
0.02
0
-0.02
-0.04
-0.85
-0.85
-0.84
x
-0.83
-0.04 -0.02
0 y
-0.84
x
0.02 0.04
z
z
0.04
0.02
0
-0.02
-0.04
0.04
0.02
0
-0.02
-0.04
-0.85
-0.85
-0.84
x
-0.83
-0.04 -0.02
0 y
-0.84
x
0.02 0.04
z
z
0.04
0.02
0
-0.02
-0.04
0.04
0.02
0
-0.02
-0.04
-0.85
-0.85
-0.84
x
-0.83
-0.04 -0.02
0 y
-0.84
x
0.02 0.04
? (=
8 "( / %$ / 55
L1
L2
0.7
β
0.5
0.4
<50
0.3
0.2
0.1
<100
2
α
0
>100
γ
1
-1.6
-1.58
β
0.6
<25
Rotation number
Rotation number
0.6
-1.56 -1.54
Energy
0.5
<50
0.4
0.3
<100
2
0.2
α
0.1
0
3
-1.52
<25
-1.5
-1.6
>100
γ
1
-1.58 -1.56 -1.54 -1.52
Energy
-1.5
3
-1.48
Rotation number
L3
0.035
0.03
0.025
0.02
0.015
0.01
0.005
0
2
<25
β
<50
α
<100
>100
γ
1
-1.6 -1.4 -1.2
-1
? D=
-0.8 -0.6 -0.4 -0.2
Energy
3
0
9 - & ! % %& && && +
$ . $ " $ ' + ' . " 5)
1 G " 0 0)1 0%1
. 01 " 9 !! #( & " ". + 6 6 " 6 ? " 6 " %<D <" )$<$$ 6 0 ? &1 ? " %D(&( %&D($ 0
? $1 DD 6 " 6 9 09 F 1 " 6 6 0 &&1 + ? <
6 6 + F" & 0 D1 ; ) L2
<25
Rotation number
Rotation number
L1
4.5
4
3.5
3
2.5
2
1.5
1
0.5
0
-1.6
>100
<100
-1.58 -1.56 -1.54 -1.52
Energy
-1.5
-1.48
4.5
4
3.5
3
2.5
2
1.5
1
0.5
0
-1.58
<25
-1.56
>100
<100
-1.54
-1.52
Energy
-1.5
-1.48
L3
Rotation number
0.12
0.1
0.08
0.06
0.04
0.02
<100
0
-1.3 -1.2 -1.1
>100
-1 -0.9 -0.8 -0.7 -0.6
Energy
? <=
9 - & : + 5%
6 ? D 6#
? D 6 + " &" 6 0
1 <!
# F 6 6" H 6 6# " 6 9 " )%" 5"
) 0 1 F 9 =5 = 0 = " ; &" 1 # 6 " " 6 F "
# F $ &
L1
L2
3.5
3.5
3
Rotation number
Rotation number
3
2.5
2
1.5
1
0.5
0
-1.53
2.5
2
1.5
1
0.5
-1.52
-1.51
-1.5
Energy
-1.49
0
-1.53
-1.48
-1.52
-1.51
-1.5
Energy
-1.49
-1.48
? $= 9 - & ;
.22 ! .22 L1
L2
3.5
3.5
3
Rotation number
Rotation number
3
2.5
2
1.5
1
0.5
0
-1.52
2.5
2
1.5
1
0.5
-1.51
-1.5
-1.49
Energy
-1.48
0
-1.52
-1.47
-1.51
-1.5
Energy
-1.49
-1.48
? &=
9 - & ! + .5
N " ? 6 5(
L1, period duplication
L1, period triplication
0.3
0.2
0.1
0
-0.1
-0.2
-1
0.3
0.2
0.1
0
-0.1
-0.2
0
-0.95 -0.9
-0.2
-0.85 -0.8 -0.4
0.2
0.4
-1 -0.95
-0.9 -0.85
-0.8
L2, period duplication
0
-0.2
-0.75-0.4
0.4
L2, period triplication
0.3
0.2
0.1
0
-0.1
0.3
0.2
0.1
0
-0.1
-0.2
0.2
-1.15 -1.1
-1.05
0.2
0
-1
-1.2 -1.15
-0.95-0.2
0
-1.1 -1.05
-0.2
-1 -0.95-0.4
0.2
0.4
? =
! & ! %& ; &%)&< ; &%$ D% !
; %&D ; &5%((5 ; &55D)<
;
+ 6 69 0%!" !1" 6 6 6 06 1 E ; &" &" :
? " 5 ) 6 " " + F 6
#
6 ; &" & -
" " 6 -
B" 6 + F -
? " " 6 F -. . " 6
5D
Energy -1.59
0.05
0.04
0.03
0.02
0.01
0
-0.01
-0.02
-0.03
-0.04
-0.05
-0.855 -0.85 -0.845 -0.84 -0.835 -0.83 -0.825
Energy -1.575
0.1
0.08
0.06
0.04
0.02
0
-0.02
-0.04
-0.06
-0.08
-0.1
-0.87 -0.86 -0.85 -0.84 -0.83 -0.82 -0.81
Energy -1.537
Energy -1.529
0.2
0.25
0.2
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
-0.25
-0.96 -0.93
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
-0.925 -0.9 -0.875 -0.85 -0.825 -0.8 -0.775
Energy -1.507
-0.9
-0.87 -0.84 -0.81 -0.78
Energy -1.4991
0.3
0.3
0.2
0.2
0.1
0.1
0
0
-0.1
-0.1
-0.2
-0.2
-0.3
-0.3
-1
-0.96
-0.92
-0.88
-0.84
-0.8
-0.76
-1
? =
-0.95
-0.9
-0.85
-0.8
-0.75
; & & 5<
Energy -1.58
Energy -1.565
0.08
0.15
0.06
0.1
0.04
0.05
0.02
0
0
-0.02
-0.05
-0.04
-0.1
-0.06
-0.08
-1.18 -1.17 -1.16 -1.15 -1.14 -1.13 -1.12
-0.15
-1.2
-1.18 -1.16 -1.14 -1.12
Energy -1.532
0.25
0.2
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
-0.25
-1.24
-1.08
-1
-0.95
-1
-0.95
Energy -1.512
0.3
0.2
0.1
0
-0.1
-0.2
-1.2
-1.16 -1.12 -1.08 -1.04
-0.3
-1.25
-1
-1.2
Energy -1.51
0.3
0.2
0.2
0.1
0.1
0
0
-0.1
-0.1
-0.2
-0.2
-1.2
-1.15
-1.1
-1.05
-1.15
-1.1
-1.05
Energy -1.508
0.3
-0.3
-1.25
-1.1
-1
-0.3
-1.25
-0.95
? 5=
-1.2
-1.15
-1.1
-1.05
; & & 5$
Energy -1.50
0.25
0.2
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
-0.25
0.85
Energy -1.20
1.5
1
0.5
0
-0.5
-1
-1.5
0.9
0.95
1
1.05
1.1
1.15
0
0.2 0.4 0.6 0.8
1
1.2 1.4 1.6 1.8
Energy -1.06
1.5
1
0.5
0
-0.5
-1
-1.5
-0.5
0
0.5
1
1.5
2
? )=
; & & -
6 F
( F -
0F
51 E " 6 F + " 6 " 6 " E 6 " 6 6 " 6 2 4 6# #
" F % ( 6 F 6 -
" F" " " " " -
6 9 6 # + " 6 9 F 6 # + " G 6 " 6 <! " 6 6
)&
L1, energy -1.529
L1, energy -1.507
0.18
0.13
0.16
0.125
0.14
0.12
0.12
0.115
0.1
0.11
-0.904
-0.9
-0.896
0.08
-0.96
-0.892
-0.95
-0.94
-0.93
-0.92
-0.91
-0.9
? %=
*+ + "" &
! % M ; &
& L2, energy -1.512
L2, energy -1.51
-0.06
-0.06
-0.08
-0.08
-0.1
-0.1
-0.12
-0.14
-0.12
-0.16
-0.18
-0.14
-0.2
-0.16
-0.22
-1.1 -1.08 -1.06 -1.04 -1.02
-1
-0.98
-1.05 -1.04 -1.03 -1.02 -1.01
-1
-0.99
? (=
*+ + "' &
; & & 2 4 " " 6
6 F -
"
6 6 6 6
+ ? 6 %&D ? ? " 6B 6 -
" " " ; & F + 6 " 6 F " 6 6 6 : 9 ?6 3 ? &" " ; )$<$ " " 6 ; %&& ? 6
%&& )$<$ 6 " F )
" 6 6 G
" 5 0 ? D1 6B " 6 6B 0 1 )$$5" 6
" !" Stability parameters
-1.50201
-1.49892
10
1
2
3
2
0
1
-2
2
3
-10
-1.504
-1.502
-1.5
-1.498
Energy
-1.496
? D=
*+ < . " ' $
Energy -1.4991
Energy -1.501
0.3
0.3
0.2
0.2
0.1
0.1
0
0
-0.1
-0.1
-0.2
-0.2
-0.3
-0.3
-1
-0.95
-0.9
-0.85
-0.8
-0.75
-1
-0.95
-0.9
-0.85
-0.8
-0.75
; & & " ' $
"" ! )$$ %& ? <=
? < 6 6 )$$ %& " 6 6 ? ; )$$
6 F ?
$ 6 6 0 &&1 ?" ? 5& 6
6 0
1
)
Energy -1.4991
Energy -1.4991
0.081
0.086
0.084
0.08
0.082
0.079
0.08
0.078
0.078
0.076
0.077
0.074
0.076
0.072
0.075
-0.9775 -0.977 -0.9765 -0.976 -0.9755 -0.975 -0.9745
0.07
-0.979-0.978-0.977-0.976-0.975-0.974-0.973-0.972
? $=
*+ " "6 ! 0.25
0.2
0.15
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
-0.25
0.3
0.2
0.1
-1
0
-0.95
-0.1
-0.9
-0.85
-0.8
? 5&=
-0.2
-0.75-0.3
: / . " % " )5
G 6 ' 7E F 69 ' '++
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