RE: Error analysis of ISS / Venus transit paths

From: Ted Molczan (molczan@rogers.com)
Date: Sun Jun 20 2004 - 17:11:13 EDT

  • Next message: Thomas Fly: "Re: Error analysis of ISS / Venus transit paths"

    Thomas Fly wrote:
    
    > As with life in general, luck plays a big part in the pursuit of transits  ;-)
    
    So it seems, but I admire your efforts to limit its role to that of the weather.
    
    I have noticed an interesting inconsistency between NASA/JSC/MCC's predicted
    elements, and USSTRATCOM (via NASA/GSFC/OIG) historical (i.e. derived from
    tracking) elements.
    
    While trying to recreate the transit of Jupiter by ISS videotaped by Gary
    Trapuzzano, I noticed that the near contemporaneous MCC elset was much more
    accurate than the OIG equivalent. For fun, I tried various OIG elsets at having
    epochs up to several days past the event, and found that they became
    progressively more accurate.
    
    In an attempt to gain insight as to the cause, I propagated the OIG elsets,
    using SGP4, to the same ascending node as the MCC elset. Two things jumped out
    at me:
    
    - the OIG elset closest in epoch to that of the MCC had a slightly lower RAAN. 
    
    - the RAAN of subsequent OIG elsets moved toward that of the MCC elset
    
    See for yourself:
    
    MCC 04134.54700828 predicted:
    1 25544U 98067A   04134.54700539  .00020000  00000-0  20000-3 0    05
    2 25544  51.6255 142.2773 0010945 129.4068 230.7900 15.69378694 32881
    
    OIG 04134.87933009 propagated;
    1 25544U 98067A   04134.54700728  .00010115  00000-0  89161-4 0    05
    2 25544  51.6266 142.2681 0011104 129.7984 230.3992 15.69369079    02
    
    OIG 04135.00732516 propagated;
    1 25544U 98067A   04134.54700632  .00010472  00000-0  92098-4 0    08
    2 25544  51.6265 142.2685 0010957 129.3258 230.8712 15.69371328    05
    
    OIG 04136.15504506 propagated;
    1 25544U 98067A   04134.54700628  .00011312  00000-0  98954-4 0    04
    2 25544  51.6264 142.2713 0011056 129.3047 230.8931 15.69374760    09
    
    OIG 04137.17601787 propagated;
    1 25544U 98067A   04134.54700685  .00011602  00000-0  10125-3 0    02
    2 25544  51.6264 142.2740 0011178 129.1983 231.0008 15.69375923    01
    
    OIG 04138.12902256 propagated;
    1 25544U 98067A   04134.54700729  .00011559  00000-0  10080-3 0    02
    2 25544  51.6263 142.2768 0011256 128.8841 231.3162 15.69377325    08
    
    OIG 04139.70387731 propagated;
    1 25544U 98067A   04134.54700740  .00011825  00000-0  10284-3 0    07
    2 25544  51.6259 142.2807 0011326 128.8360 231.3649 15.69378142    09
    
    
    A similar phenomenon is evident around the time of Venus' transit of the sun.
    All of the following elsets have been propagated using SGP4 to ascending node
    near 2004 Jun 08 at 09:51:59 UTC:
    
    MCC 04159.51929464 propagated:
    1 25544U 98067A   04160.41108680  .00020000  00000-0  20000-3 0    09
    2 25544  51.6330  10.4829 0005386 210.6051 149.4632 15.68831850    05
    OIG 04159.93711806 propagated:
    1 25544U 98067A   04160.41109702  .00014804  00000-0  13139-3 0    05
    2 25544  51.6330  10.4767 0005447 207.5034 152.5675 15.68813933    04
    OIG 04160.11829168 propagated:
    1 25544U 98067A   04160.41109648  .00014969  00000-0  13275-3 0    07
    2 25544  51.6331  10.4766 0005497 206.0234 154.0487 15.68815010    01
    OIG 04160.18136574 propagated:
    1 25544U 98067A   04160.41109673  .00014863  00000-0  13184-3 0    07
    2 25544  51.6330  10.4769 0005479 206.4696 153.6022 15.68814610    04
    OIG 04160.34703704 propagated:
    1 25544U 98067A   04160.41109690  .00014830  00000-0  13154-3 0    07
    2 25544  51.6332  10.4772 0005492 206.6148 153.4568 15.68814629    02
    OIG 04160.42390752 propagated:
    1 25544U 98067A   04160.41109664  .00014992  00000-0  13290-3 0    08
    2 25544  51.6329  10.4770 0005397 206.6555 153.4165 15.68815449    06
    OIG 04160.55179646 propagated:
    1 25544U 98067A   04160.41109655  .00014891  00000-0  13202-3 0    09
    2 25544  51.6331  10.4772 0005516 206.8128 153.2585 15.68815230    04
    OIG 04160.67381583 propagated:
    1 25544U 98067A   04160.41109672  .00014831  00000-0  13149-3 0    02
    2 25544  51.6316  10.4764 0005530 206.9805 153.0905 15.68814915    00
    OIG 04160.87472337 propagated:
    1 25544U 98067A   04160.41109700  .00014823  00000-0  13139-3 0    04
    2 25544  51.6325  10.4769 0005537 206.6555 153.4158 15.68815036    00
    OIG 04160.94517177 propagated:
    1 25544U 98067A   04160.41109720  .00014820  00000-0  13135-3 0    09
    2 25544  51.6327  10.4782 0005586 207.1559 152.9146 15.68814978    06
    OIG 04162.71808431 propagated:
    1 25544U 98067A   04160.41109751  .00014629  00000-0  12945-3 0    08
    2 25544  51.6329  10.4826 0005769 207.0419 153.0278 15.68816731    01
    OIG 04165.52719547 propagated:
    1 25544U 98067A   04160.41109971  .00013370  00000-0  11839-3 0    05
    2 25544  51.6325  10.4888 0006111 209.0389 151.0268 15.68824061    07
    
    Notice that OIG's 04162.71808431 elset propagates to nearly the same RAAN as the
    MCC's 04159.51929464.
    
    Here is the OIG elset in question:
    
    1 25544U 98067A   04162.71808431  .00014629  00000-0  12945-3 0  9665
    2 25544  51.6329 358.7195 0005482 215.8978 222.4628 15.68884229317308
    
    Tom, I would be interested to know how well this one does at predicting the
    recent ISS transit of Venus during the latter's transit of the sun. I suspect it
    will agree rather well with the MCC's elset.
    
    I am not certain as to the exact of the discrepancy. If it could be due to one
    or both of the following:
    
    - a systematic incompatibility between MCC and OIG orbital models; if so, we may
    be able to correct for it.
    
    - since OIG's elsets are derived from observations, i.e. are historical, they
    may require several days to catch up to MCC's predicted elements; if so, there
    may not be much that we could do about it
    
    I suspect a combination of the above.
    
    A linear regression of the propagated RAAN vs the original day of year of the
    OIG elsets reveals a very strong correlation. For the first data set above, I
    get:
    
    propagated RAAN = 141.91421 + 0.002623628 * DOY; r^2 = 1.0000000
    
    I get a similar slope, 0.00216 deg/day, from the second set, using only three
    elsets (4159.937, 4162.718, 4165.527).
    
    What, if anything, this means, remains to be learned.
    
    Ted Molczan
    
    
    
    -------------------------------------------------------------------------
    Subscribe/Unsubscribe info, Frequently Asked Questions, SeeSat-L archive:  
    http://www.satobs.org/seesat/seesatindex.html
    



    This archive was generated by hypermail 2b29 : Sun Jun 20 2004 - 17:15:59 EDT