scieee Science in your language
[en] (orig)

Dynamics and mission design near libration points, advanced methods for triangular points

Abstract

The final objective of this work is to understand, analyze and compute the kinds of motion that appear on a vicinity (may be a large vicinity) of the geometrically defined equilateral points of the Earth-Moon system, as a source of possible nominal orbits for future space missions.

Read accessible full text

Dynamics and mission design near libration points, advanced methods for triangular points

Author: Gómez, Gerard,Jorba, Angel,Masdemont Soler, Josep,Simó Torres, Carlos
Year: 2000
Source: https://upcommons.upc.edu/bitstream/2117/1214/1/0003masde.pdf

             
               
      !         
    "
# $ %       &'(
            
 )(*  " +         
  ,             
" -           " 
       "     
," )            
                 .
                &'(
          ,  !/ 
 "
           &'("  0.
 -       "    
               
  "
$ 1           "
           2   .
 "             
3"4"1"      ,       .
         

." 5 
     4.  "     .
   %.%          "
- 6 7            
         -     



    "
              
"          - "
# $ 8         
 "               
   " 5  ,  .      
" #    8          "
           " 
      67    )(*      " 
         " 5      
 "
$ 9             
        :;      
< ;             
    "         
 

.            
  " #         "    
:;   67          =33 > 
          !     
    ?33 >"
      5        "
                
    @ 5  %==1"       , 
  <          
           
      "        
     , "
                
  @ 5         "
-  @5/            .
           ,"
5              
      @ 5      A 
6B  ! B 0 * (7  "   
           
       " -   
         CA   "

( 
#  %
3"% B ;  " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " %
3"4 D & 5   @




" " " " " " " " " " " " " " " " %
3"4"% -  $ &'( " " " " " " " " " " " " " " " " " " " " " " " %
3"4"4 -   &'( " " " " " " " " " " " " " " " " " " " " " " " " 1
3"4"1  ' ( " " " " " " " " " " " " " " " " " " " " " " " 1
3"4"E # !  " " " " " " " " " " " " " " " " " " " " " " " " " E
3"1 ! BÆ   ( " " " " " " " " " " " " " " " " " " " " " " 8
        
 
%"%   ! " " " " " " " " " " " " " " " " " " " " " " " " " " " " " F
%"4 &   & $ ( " " " " " " " " " " " " " " " " =
%"1 @   ' ( " " " " " " " " " " " " " " " " " " " %F
%"E &   @ G  )(* !  " " " " " " " " " " " " " 1?
%"8 B   , " " " " " " " " " " " " " " " " " " " EE
     


  
! "
4"% $   0 - " " " " " " " " " " " " " " " " " " " " " " " " " 83
 #   $  !%% &    % '#
1"%     ' ( " " " " " " " " " " " " " " " " " " 81
1"4 ,   2 " " " " " " " " " " " " " " " " " " " " " " " " 88
1"4"% ,   (  & " " " " " " " " " " " 8F
1"1 $    ; ; " " " " " " " " " " " " " " " " " " " " " 93
1"1"% $ ; % G  *  " " " " " " " " " 9%
1"1"4 $ ; %  $  ( ; " " " " " " " 91



1"1"1    & " " " " " " " " " " " " " " " " " " " " " " " " " " 9E
1"E 0 -  ;  " " " " " " " " " " " " " " " " " " " " " " " " " 98
1"E"% B 



   
 G -   " " " " " " 99
1"E"4 ( #  (  1"% " " " " " " " " " " " " F1
1"E"4"% $   2 ,  $, A FE
1"E"4"4 $   2 ,  & A " F8
1"E"1 5  ; $  A " " " " " " " " " " " " F?
1"E"E @ ,   2 " " " " " " " " " " " " " " " F=
1"8 0 -    ; 2   " " " " " " " " " " " " ?%
1"8"%  !  " " " " " " " " " " " " " " " " " " " " " " " " " " " " " ?4
1"8"%"% @


" " " " " " " " " " " " " " " " " " " " " " " " ?E
1"8"4 # " " " " " " " " " " " " " " " " " " " " " " " " " " " " ?E
1"8"4"%  5 ! " " " " " " " " " " " " " " " " ?E
1"8"4"4  ! 5 " " " " " " " " " " " " " " " " " " " ?8
1"8"1 & " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " ?8
1"8"E  $  A " " " " " " " " " " " " " " " " " " " " " " " ?9
1"8"8 : '  & $  " " " " " " " " " " " " " " " " " " ?9
1"8"8"%  2 " " " " " " " " " " " " " " " " " " " " " ?F
1"8"8"4  $  A " " " " " " " " " " " " " " " " " ??
1"8"9 $   @ " " " " " " " " " " " " " " " " " " " " " " " " ?=
1"9 5 $  0 - 5  @ ( ;
0


  ' ( " " " " " " " " " " " " " " " " " " " " " " ?=
1"F ;  $  G .  " " " " " " " " " =4
1"F"%     5 " " " " " " " " " " " " " " " " " =4
1"F"4  ( @ & " " " " " " " " " " " " " " " " " " " =8
1"F"1 B " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " ==
1"? '   @ H " " " " " " " " " " " " " " " " " " " " " " " " " %33
1"?"% 5 5 # A -   A (.
  ; " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " %33
1"?"4 @ 5  ( ;" &  @ " " %3%
1"?"1 - 5 " " " " " " " " " " " " " " " " " " " " " " " " " " %3%
 "  (  % &  
E"%  *   2 " " " " " " " " " " " " " " " " " " " %%1
E"4 @ G , " " " " " " " " " " " " " " " " " " " " " " " " " " " %%8
E"1  - 5 " " " " " " " " " " " " " " " " " " " " " " " " " " " " " %%?
 '       ##
8"% #  " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " %11
8"4 #   & !  " " " " " " " " " " " " " " " " " " " " " " " %1E
8"1  5 ! " " " " " " " " " " " " " " " " " " " " " " " " " %19
8"1"% 2 * & " " " " " " " " " " " " " " " " " " " " " " " " " %19
8"1"%"% #> & " " " " " " " " " " " " " " " " " " %19


8"1"%"4    - " " " " " " " " " " " " " " " " %19
8"1"%"1    ) !, " " " " " " " " " " " " %19
8"1"%"E  0 !  " " " " " " " " " " " " " " " " " " " %19
8"E &   5 ! " " " " " " " " " " " " " " " " " " %1F
8"8 0 & " " " " " " " " " " " " " " " " " " " " " " " " " " " " %1?
8"8"%  ( " " " " " " " " " " " " " " " " " " " " " " " " " " " " " %1=
8"8"4 0 ( " " " " " " " " " " " " " " " " " " " " " " " " " " " " %E3
8"9  0     5 ( 0 ( " " " " " " " " %8=
 ) $  *   +% $    )#
9"% $    ; " " " " " " " " " " " " " " " " " " " " %98
9"%"% *   5 $   I(; " " " " " " " " " " " " %98
9"%"%"% $    ;  @ 8"8"4 " " " " " " " %99
9"%"%"4 $    ;  @ %"E " " " " " " " " %99
9"%"4 $  @ @ " " " " " " " " " " " " " " " " %9?
9"%"1 B   :;" $  # " " " " " " " " " %F%
9"%"E : ;    " " " " " " " " " " " " " " " " %F1
9"4 @   & " " " " " " " " " " " " " " " " " " " " " " " " " " " %FE
9"4"% ;  ! " " " " " " " " " " " " " " " " " " " " " " " " " " %FE
9"4"4 ;  @    ; " " " " " " " " " " " " " " " %=E
9"4"4"% *    ;   @ - " " " " " " %=E
9"4"4"4 *    ;   @  - " " " " " " %=E
 ,        
   -% ! #
 , !   
'"% #  " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " 44F
'"4  !  " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " 44?
'"4"%  B-  @ # " " " " " " " " " " " " " " " " " " " " " 44?
'"4"4 @ - " " " " " " " " " " " " " " " " " " " " " " " " " " " 414
'"4"1 B   -< - 5, " " " " " 41E
'"4"E 5 5 !   $  $ Æ " " " " " " " 41E
'"4"8  C     - " " " " " " " " " " " " " " 418
'"4"9 B   -< # " " " " " " " " " 419
'"1 5 5   5  ;   & ( " " 41F
 ,  % ! $  .%/   
&$ "
$"%  $ $.  $. ! " " " " " " " " 4E%
$"4 ;  5 $  # ! " " " " " " " " " " " 4E4
$"1  $.  $. ! 


  &'( " 4E1



 , . % "0
B"% @  5 " " " " " " " " " " " " " " " " " " " " " " " " " " 4E=
B"4 ;  !  " " " " " " " " " " " " " " " " " " " " " " " " " " " " " 484
B"1 ;  5   &   B  @ ! " 481
B"E ;  " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " 481
! ''
G   &   + B    @ 5 48F