Lunar Tables and Programs from 4000BC to AD8000

TABLE  OF CONTENTS

Foreword                                                                                            
                                                           iu
Table of contents                                                                                   
                                            v
Tables of  the  explanatory  introduction                                                           
                                v1
Explanatory  introduction                                                                           
                                             1
l.   Content;s of  the  tables                                                                      
                                             3
2. Source                                                                                           
                                                    3
3.  A  few comments aboul lunar  theory                                                             
                               3
4. Time                                                                                             
                                             6
4.1 Time scale                                                                                      
                                      6
4.2 Definition and  calculation of  the  time-argument. l                                           
                         8
5.  Tables for longitude, latitude. and distance                                                    
                                9
5.1  Representation of  the  coordinates of the  :Moon  in  the  tables                             
              10
5.2 Representation of the  coordinates of the  Moon  in  the  theory                                
             12
5.3 Description of  the  tables                                                                     
                                    13
5.4 Computation of geometrie mean ecliptic coordinates of date and Earth- Moon distance     13
5.5 Accuracy and  validity                                                                          
                                   15
6.  Aberration                                                                                      
                                                16
6.1 Formulae   .                                                                                    
                                           16
6.2 Computation  of apparent  mean ecliptic coordinates of date and Earth- Moon distance      16
7.  Computation  of  mean equatorial  coordinates of date                                           
                     17
.8.  Computation  of true coordinates of da te                                                      
                           18
8.1  Nutation    .                                                                                  
                                            18
8.2 Computat ion of true ecliptic coorclinates  of date                                             
                      19
8.3 Computat ion of  true equatorial coordinates  of date                                           
                    20
9.  Computation  of osculating orbitai .elements                                                    
                                   21
9.1 Introduction    .                                                                               
                                           21
9.2 Inclirect  method   .                                                                           
                                       22
9.3 Direct  met hod:  Tables for osculàting orbitai elements                                        
                 26
9.4 Accuracy and  validity                                                                          
                                          29
10 .  Program  LUNE*l   .                                                                           
                                        30
10.1 Description    .                                                                               
                                         30
10.2 Instructions  for we                                                                           
                                      32
11.  Progran1 LUI\TE* 2   .                                                                         
                           36
11.1 Description    .                                                                               
                                         36
11.2 Instructions  for use                                                                          
                                       38
Refereuc                                                                                            
                                 40
Tables  for longitude,  latit  ude ,  and  distance                                                 
                                                   41
Longitude:  Sv                                                                                      
                                 43
Longitude:  S                                                                                       
                                         48
Longitude:  si                                                                                   53
gi                                   w
Latitude:  Su                                                                                       
                                   51
Latitude:  S0                                                                                       
            61
Latitu