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  1. Path: sparky!uunet!cis.ohio-state.edu!magnus.acs.ohio-state.edu!slc3.ins.cwru.edu!agate!dog.ee.lbl.gov!network.ucsd.edu!lutherlab.ucsd.edu!rabjab
  2. From: rabjab@golem.ucsd.edu (Jeff Bytof)
  3. Newsgroups: sci.astro
  4. Subject: Jupiter's Arrow: An Economical SETI Strategy
  5. Date: 20 Aug 1992 15:45:41 GMT
  6. Organization: sio
  7. Lines: 638
  8. Message-ID: <rabjab.17.0@golem.ucsd.edu>
  9. NNTP-Posting-Host: lutherlab.ucsd.edu
  10. Keywords: SETI
  11.  
  12.         
  13.               JUPITER'S ARROW: AN ECONOMICAL STRATEGY FOR INITIATING 
  14.                             INTERSTELLAR COMMUNICATION
  15.         
  16.                                   Jeff Bytof
  17.                       University of California, San Diego
  18.                                  Mail Code 0230
  19.                                La Jolla, CA 92093
  20.         
  21.         Abstract:
  22.         
  23.         A strategy is outlined that allows the effort expended by a 
  24.         civilization seeking to establish interstellar communication 
  25.         with us to be minimized.  The method uses a time reference 
  26.         based on the orbital motion of Jupiter to coordinate signal 
  27.         transmission, acquisition and acknowledgement.
  28.         
  29.         
  30.         
  31.               Signals beamed at Earth from another technological 
  32.         civilization may not be "on" continuously.  This is because 
  33.         of the understandable need to minimize the cost of a project 
  34.         that has no guarantee of success (1).  However, intermittent 
  35.         signaling presents a difficulty if we do not know the 
  36.         sender's schedule, or are not observing the sky 
  37.         omnidirectionally (2).
  38.         
  39.               If brief, infrequent yet periodic incoming signals are 
  40.         assumed to be coordinated with a cyclical process observable 
  41.         by both the sender and receiver, a matching search strategy 
  42.         can be formulated.  Possible timing mechanisms of interest 
  43.         suitable for signal coordination have been discussed (3).  
  44.         It has also been proposed that the Sun and Jupiter, the 
  45.         largest and most visible objects in our Solar System, be 
  46.         employed as a likely timing method (4).  In this report, a 
  47.         technique is outlined utilizing the Sun-Jupiter timing 
  48.         system to minimize the efforts of sender and receiver by 
  49.         coordinating the transmission, receipt and acknowledgement 
  50.         of a signal sent to us for the purpose of establishing 
  51.         contact.
  52.          
  53.               As seen from the center of our Solar System, Jupiter, 
  54.         as a result of its orbital motion around the Sun, achieves 
  55.         minimum angular separation from each star once every 11.86 
  56.         years.  Figure 1 shows where the loci of minimum separations 
  57.         project on our sky as a function of year.  By this strategy,
  58.         signals would be timed to arrive here when Jupiter was 
  59.         closest to a sender's direction as viewed heliocentrically.  
  60.         Our task as listeners is to look in the potential sender's 
  61.         direction for a brief period at the time of his star's 
  62.         minimum heliocentric separation with Jupiter.  Hence, the 
  63.         Sun-Jupiter vector acts as an obvious indicator or "arrow" 
  64.         towards the set of directions we should search.
  65.          
  66.               For the sender to properly "navigate" signals to us, 
  67.         he must make telescopic observations to determine the 
  68.         distance to our Solar System and be able to calculate the 
  69.         future position of Jupiter to a desired level of accuracy.  
  70.         The sender must also estimate the probable error in the 
  71.         arrival time of the signal, because this determines the 
  72.         minimum message duration that will result in a high  
  73.         probability of being received by us at the time we might be 
  74.         expected to be looking for it.
  75.          
  76.               It is likely that a sender of a message across 
  77.         interstellar space would be interested in receiving a 
  78.         meaningful and appropriately timed reply. The message we  
  79.         receive may contain instructions for us to transmit an 
  80.         acknowledgement at a specific moment, corrected for his 
  81.         timing errors.  If our acknowledgement is sent properly, it 
  82.         would arrive at the sender's receiver within a pre-planned 
  83.         time window, thus dramatically reducing the amount of 
  84.         dedicated instrument time that he needs to spend checking 
  85.         for replies from our direction.
  86.  
  87.               As defined, the "Jupiter's Arrow" strategy requires 
  88.         the sender to make only one transmission and reply check in 
  89.         our direction every 11.86 years.  Any increase in the 
  90.         quality of his knowledge of the distance and dynamics of our 
  91.         Solar System would further reduce arrival-time error, 
  92.         thereby minimizing the duration of transmission and 
  93.         monitoring periods, freeing the sender to use his 
  94.         instruments for other tasks almost all of the time.
  95.  
  96.               As searchers adhering to the Jupiter's Arrow strategy, 
  97.         we need to examine each direction at the proper time only 
  98.         once, given that a sender is actually transmitting with the 
  99.         strategy and we are using a receiver with the correct 
  100.         frequency and adequate sensitivity.  Missed signals would 
  101.         repeat every 11.86 years, ensuring that even a search making 
  102.         a small number of observations per year would eventually 
  103.         succeed.
  104.         
  105.         
  106.                             REFERENCES AND NOTES 
  107.         
  108.         
  109.         1. S. von Hoerner, Science 134, 1839 (1961).
  110.         
  111.         
  112.         2. J. Pfleiderer, AIAA Progress in Aeronautics and 
  113.         Astronautics 110, 305 (1988); R. H. Gray, Journal of the 
  114.         British Interplanetary Society 43, 531 (1990).
  115.         
  116.         3. Objects proposed for timers include supernovae, variable 
  117.         stars and double stars [W. I. McLaughlin, Icarus 32, 464 
  118.         (1977); G. W. Pace and J. C. G. Walker, Nature 254, 400 
  119.         (1975); T. B. Tang, Journal of the British Interplanetary 
  120.         Society 29, 469 (1976)].
  121.         
  122.         4. C. E. Singer, Cosmic Search 4, 22 (1982).
  123.         
  124.         5. I thank Andrew Buffington, Stanley Miller, David Newton, 
  125.         Alan Schneider, Woodruff Sullivan and Jill Tarter for 
  126.         helpful discussions.
  127.                                 * * *      
  128.         Fig. 1. Isochrones of minimum heliocentric Jupiter-star angular
  129.         separation projected on our sky.  A planetary ephemeris was
  130.         used to determine the time of Jupiter's minimum separation
  131.         with each star.  The times of minimum separation are summarized
  132.         by search curves for January 1st of each year from 1992 to 2002.
  133.         Circles represent stars brighter than magnitude 4.5. 
  134.  
  135.        
  136. --------------------------------------------------------------------------
  137. Following is a uuencoded, compressed ascii PostScript version of Figure 1.
  138. On a Unix system, the command sequence to extract it should be:
  139.       undecode this_file
  140.       uncompress  ljplot.ps.Z
  141.       lpr ljplot.ps       (to a PostScript printer)
  142. The version of PostScript *should* be fairly portable!
  143. I will US mail a copy of the manuscript and figure to any requestor.           
  144. ---------------------------Cut Here---------------------------------------
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  648. `
  649. end
  650.