Orbital Analysis for matched events on 20211103_005416.336_UK

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Summary for Event
-----------------
shower ID 2 STA
Lg 51.06° Bg -8.66° Vg 34.50km/s
mass 0.01338g, abs. mag 1.5
best visual mag 2.0
Path Details
------------
start 0.96° 52.72° 99.57km
end   0.97° 52.76° 93.57km

Orbit Details
-------------
Semimajor axis 21.26A.U., eccentricity 0.98, inclination 12.32°, Period 98.04Y, LA Sun 220.52°, last Perihelion 1923-11-24

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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459521.537689078599
Time: 2021-11-03 00:54:16.416857 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 30.92303 deg
 R.A. =  50.71406  Dec = +10.54815 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 30.92 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2141094.09 +/- 18.85 m
 Y =   3301386.48 +/- 116.35 m
 Z =   5131278.25 +/- 62.56 m
 Vx =    22241.89 +/- 893.59 m/s
 Vy =    27792.31 +/- 936.79 m/s
 Vz =     6795.86 +/- 379.18 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.894377e+02, -1.317837e+03, -5.297623e+02, +3.818044e+02, -8.277392e+03, -2.902320e+03
-1.317837e+03, +1.470785e+04, +7.289648e+03, -9.098829e+03, +5.982019e+04, +2.937230e+04
-5.297623e+02, +7.289648e+03, +4.209178e+03, -1.028649e+04, +2.059139e+04, +1.434240e+04
+3.818044e+02, -9.098829e+03, -1.028649e+04, +2.282040e+05, +2.832998e+05, +3.874227e+04
-8.277392e+03, +5.982019e+04, +2.059139e+04, +2.832998e+05, +7.721636e+05, +2.267248e+05
-2.902320e+03, +2.937230e+04, +1.434240e+04, +3.874227e+04, +2.267248e+05, +9.120926e+04

Timing offsets (from input data):
    UK002K: -0.000079 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 00:54:16.416857 UTC
  Lon     = ++0.956637 +/- 0.0011 deg
  Lat     = +52.700112 +/- 0.0004 deg
  Lat geo = +52.517352 +/- 0.0004 deg
  Ht      =  101640.50 +/- 103.96 m

  JD dynamic   = 2459521.538490750827 
  LST apparent = 57.0348202795 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  51.33008 +/- 0.6618 deg
  Dec       = +10.80847 +/- 0.3357 deg
  Azimuth   = 188.36698 +/- 0.9065 deg
  Elevation = +47.85601 +/- 0.3959 deg
  Vavg      =  32.67167 +/- 0.3920 km/s
  Vinit     =  36.23946 +/- 0.9079 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  51.79000 +/- 0.6618 deg
  Dec       = +10.81659 +/- 0.3357 deg
  Azimuth   = 187.69696 +/- 0.9065 deg
  Elevation = +47.90305 +/- 0.3959 deg
  Vavg      =  32.64478 +/- 0.3920 km/s
  Vinit     =  36.21257 +/- 0.9079 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.93473 +/- 0.6780 deg
  Dec    =  +9.65379 +/- 0.3698 deg
  Vg     =  34.49662 +/- 0.9594 km/s
  Vinf   =  36.23946 +/- 0.9079 km/s
  Zc     =  41.96318 +/- 0.3963 deg
  Zg     =  43.04590 +/- 0.4342 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  51.06430 +/- 0.7435 deg
  Bg     =  -8.66135 +/- 0.2135 deg
  Vh     =  41.79212 +/- 0.5372 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   5.51264 +/- 1.2642 deg
  Bh     =  -7.14043 +/- 0.1618 deg
  Vh_x   = -41.27621 +/- 0.4962 km/s
  Vh_y   =  -3.98364 +/- 0.9182 km/s
  Vh_z   =   5.19483 +/- 0.1684 km/s
Orbit:
  La Sun = 220.524042 +/- -0.0000 deg
  a      =  21.262169 +/- 4.8120 AU
  e      =   0.984404 +/- 0.0196
  i      =  12.315641 +/- 0.4786 deg
  peri   = 109.999545 +/- 1.6759 deg
  node   =  40.528447 +/- 0.0002 deg
  Pi     = 150.527991 +/- 1.6758 deg
  q      =   0.331613 +/- 0.0163 AU
  f      = 249.996911 +/- 1.6758 deg
  M      = 359.625134 +/- 1.0231 deg
  Q      =  42.192725 +/- 9.6338 AU
  n      =   0.010053 +/- 0.0256 deg/day
  T      =  98.041960 +/- 24.8747 years
  Last perihelion JD = 2423748.378136 (1923-11-24 21:04:30.920236) +/- 9086.3266 days
  Tj     =   0.939583 +/- 0.2643
Shower association:
  IAU No.  =    2
  IAU code =  STA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.009147e-04, -1.907943e-04, -1.844839e+02, -2.997181e-06, +7.072915e-03, +8.608315e-03
q   , -1.907943e-04, +2.868281e-04, +9.886304e+01, +2.069380e-06, -2.730653e-02, -6.232553e-03
Tp  , -1.844839e+02, +9.886304e+01, +8.663762e+07, +1.433261e+00, -4.605121e+03, -4.139925e+03
node, -2.997181e-06, +2.069380e-06, +1.433261e+00, +2.808646e-08, -1.312993e-04, -8.271369e-05
peri, +7.072915e-03, -2.730653e-02, -4.605121e+03, -1.312993e-04, +3.048748e+00, +4.124357e-01
i   , +8.608315e-03, -6.232553e-03, -4.139925e+03, -8.271369e-05, +4.124357e-01, +2.442383e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.752426
 a2 = 20.248804

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 2.804e-05 s
  Stddev    = 5.29e-03 s

Begin point on the trajectory:
  Lon =     0.960608 +/- 0.0007 deg
  Lat =    52.716508 +/- 0.0002 deg
  Ht  = 99571.02 +/- 71.44 m
End point on the trajectory:
  Lon =     0.971157 +/- 0.0007 deg
  Lat =    52.764154 +/- 0.0002 deg
  Ht  = 93567.37 +/- 60.20 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,    99128.04,    94395.96,          0.015696,     42.62,     10.72,              39.02, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20211103_005416_212_0705280.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.899096,  19.380985,    99571.02,    93567.37,          0.010718,     19.57,     10.84,              44.92, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20211103_005409_014_0706560.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK002K,       0,  0.090626, 2459521.537690127268,  90.68952,   8.55825,              134.79508,  36.94957,       134.78605,       36.96118,     90.68952,      +8.55825,      90.69149,       +8.57183,  2139014.08,  3298787.40,  5130642.72,      52.720020,       +0.961417,   99128.04,  162638.45,       0.00,             3389.03,   449.06,      0.00,           31819.93,     -9.47,     37.64,          49.22,  +4.08,  +3.02
  1,     UK002K,       0,  0.130758, 2459521.537690591998,  90.92707,   8.53755,              134.54060,  36.83044,       134.53593,       36.83642,     90.92707,      +8.53755,      90.92845,       +8.54455,  2138353.19,  3297961.60,  5130440.79,      52.726349,       +0.962783,   98329.90,  161794.76,    1076.80,             4465.83,    71.49,  26831.46,           31819.93,     -4.86,     19.31,          25.38,  +3.26,  +2.22
  2,     UK002K,       0,  0.170930, 2459521.537691056728,  91.20577,   8.48906,              134.25592,  36.66831,       134.24053,       36.68789,     91.20577,      +8.48906,      91.20922,       +8.51204,  2137580.29,  3296995.82,  5130204.63,      52.733752,       +0.964410,   97396.56,  160812.66,    2336.12,             5725.15,  -125.00,  31348.10,           31819.93,    -15.84,     62.99,          83.31,  +2.49,  +1.46
  3,     UK002K,       0,  0.211126, 2459521.537691522390,  91.54598,   8.44854,              133.89972,  36.48651,       133.88372,       36.50675,     91.54598,      +8.44854,      91.54972,       +8.47234,  2136656.97,  3295842.09,  5129922.52,      52.742598,       +0.966388,   96281.73,  159645.75,    3840.51,             7229.54,   -77.29,  37426.39,           31819.93,    -16.29,     64.79,          86.31,  +2.25,  +1.23
  4,     UK002K,       0,  0.251310, 2459521.537691987120,  91.90906,   8.44147,              133.50159,  36.32414,       133.50921,       36.31455,     91.90906,      +8.44147,      91.90875,       +8.43016,  2135697.92,  3294643.70,  5129629.49,      52.751790,       +0.968451,   95123.89,  158439.94,    5403.13,             8792.17,    29.09,  38886.76,           33779.06,      7.69,    -30.53,          40.99,  +2.85,  +1.85
  5,     UK002K,       0,  0.291450, 2459521.537692451850,  92.13467,   8.40209,              133.27391,  36.19128,       133.27311,       36.19228,     92.13467,      +8.40209,      92.13603,       +8.40327,  2135094.92,  3293890.23,  5129445.24,      52.757572,       +0.969686,   94395.96,  157682.55,    6385.61,             9774.65,  -443.08,  24476.36,           33010.72,     -0.80,      3.17,           4.28,  +5.20,  +4.21
  0,     UK0032,       1,  0.000000, 2459521.537689078599,  94.05969,  29.43746,              115.17420,  53.66403,       115.16561,       53.67619,     94.05969,     +29.43746,      94.05551,      +29.45013,  2141090.53,  3301382.03,  5131277.16,      52.700146,       +0.956982,  101636.20,  125611.02,       0.00,                5.80,   350.06,      0.00,           34310.97,    -13.99,    -25.28,          47.45,  +5.60,  +5.10
  1,     UK0032,       0,  0.080460, 2459521.537690009922,  95.03236,  29.70950,              113.78146,  53.34235,       113.79026,       53.33043,     95.03236,     +29.70950,      95.03672,      +29.69696,  2139380.85,  3299245.71,  5130754.78,      52.716508,       +0.960608,   99571.02,  123606.58,    2785.63,             2791.43,   219.86,  34621.33,           34310.97,     13.61,     24.58,          46.89,  +2.70,  +2.24
  2,     UK0032,       0,  0.120680, 2459521.537690475583,  95.47428,  29.80237,              113.18786,  53.17000,       113.18625,       53.17214,     95.47428,     +29.80237,      95.47407,      +29.80463,  2138637.75,  3298317.17,  5130527.73,      52.723623,       +0.962165,   98673.54,  122744.01,    3996.40,             4002.19,   -26.93,  30103.53,           34310.97,     -2.43,     -4.39,           8.44,  +2.55,  +2.10
  3,     UK0032,       0,  0.160968, 2459521.537690941710,  96.06220,  29.94103,              112.38842,  52.95021,       112.38502,       52.95462,     96.06220,     +29.94103,      96.06141,      +29.94572,  2137660.73,  3297096.34,  5130229.21,      52.732981,       +0.964265,   97493.70,  121620.89,    5588.28,             5594.08,   104.95,  39512.72,           34310.97,     -5.00,     -9.03,          17.50,  +2.26,  +1.83
  4,     UK0032,       0,  0.201220, 2459521.537691407371,  96.59662,  30.08070,              111.65337,  52.75873,       111.65923,       52.75129,     96.59662,     +30.08070,      96.59990,      +30.07273,  2136782.10,  3295998.44,  5129960.75,      52.741399,       +0.966139,   96432.81,  120619.22,    7019.87,             7025.67,    77.82,  35565.53,           34788.68,      8.41,     15.19,          29.69,  +2.22,  +1.81
  5,     UK0032,       0,  0.241444, 2459521.537691873033,  97.04792,  30.17275,              111.06488,  52.57578,       111.06176,       52.57968,     97.04792,     +30.17275,      97.04767,      +30.17694,  2136062.68,  3295099.50,  5129740.94,      52.748294,       +0.967643,   95564.23,  119804.36,    8192.04,             8197.84,  -207.71,  29141.03,           34317.19,     -4.39,     -7.92,          15.59,  +1.96,  +1.57
  6,     UK0032,       0,  0.281708, 2459521.537692339160,  97.59099,  30.29771,              110.34706,  52.36472,       110.34489,       52.36738,     97.59099,     +30.29771,      97.59132,      +30.30058,  2135205.52,  3294028.43,  5129479.04,      52.756511,       +0.969469,   94529.47,  118842.49,    9588.65,             9594.44,  -270.24,  34686.32,           34153.86,     -2.98,     -5.39,          10.69,  +2.46,  +2.09
  7,     UK0032,       0,  0.321968, 2459521.537692805286,  98.11068,  30.39351,              109.69117,  52.14311,       109.67442,       52.16321,     98.11068,     +30.39351,      98.10568,      +30.41542,  2134408.46,  3293032.46,  5129235.50,      52.764154,       +0.971157,   93567.37,  117955.37,   10887.32,            10893.12,  -430.56,  32257.26,           33940.42,    -22.52,    -40.66,          81.28,  +3.84,  +3.48

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.