Orbital Analysis for matched events on 20211103_054922.128_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 122.34° Bg -9.79° Vg 69.19km/s
mass 0.01545g, abs. mag -0.7
best visual mag 1.1
Path Details
------------
start -1.43° 49.29° 108.19km
end   -1.41° 49.36° 98.38km

Orbit Details
-------------
Semimajor axis 6.26A.U., eccentricity 0.85, inclination 162.55°, Period 15.66Y, LA Sun 220.73°, last Perihelion 2006-03-30

Full details below
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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: 2459521.742617227137
Time: 2021-11-03 05:49:22.150915 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0025 and UK003N
 Convergence angle = 84.04085 deg
 R.A. = 122.87357  Dec = +10.16660 deg

Best intersection: Stations UK0025 and UK003N with Qconv = 84.04 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -2646601.48 +/- 12.91 m
 Y =   3312517.79 +/- 26.71 m
 Z =   4894298.65 +/- 9.84 m
 Vx =   -37250.70 +/- 16.63 m/s
 Vy =    58022.69 +/- 151.56 m/s
 Vz =    12509.00 +/- 128.79 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.773625e+02, -1.521760e+02, +4.976834e+01, +3.699688e+02, -3.201447e+02, +3.005242e+02
-1.521760e+02, +7.530445e+02, -1.336710e+02, +2.132913e+03, -8.790045e+01, -1.240722e+03
+4.976834e+01, -1.336710e+02, +9.936547e+01, +1.216920e+02, -4.330438e+02, +7.106290e+02
+3.699688e+02, +2.132913e+03, +1.216920e+02, +2.045347e+04, -7.318311e+03, +1.821265e+02
-3.201447e+02, -8.790045e+01, -4.330438e+02, -7.318311e+03, +5.677323e+03, -5.717387e+03
+3.005242e+02, -1.240722e+03, +7.106290e+02, +1.821265e+02, -5.717387e+03, +1.048027e+04

Timing offsets (from input data):
    UK0025: 0.000267 s
    UK002D: 0.000000 s
    UK003N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 05:49:22.150915 UTC
  Lon     = +-1.430261 +/- 0.0002 deg
  Lat     = +49.284561 +/- 0.0002 deg
  Lat geo = +49.097412 +/- 0.0002 deg
  Ht      =  109505.22 +/- 13.98 m

  JD dynamic   = 2459521.743418228347 
  LST apparent = 128.6237965504 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 122.70055 +/- 0.0781 deg
  Dec       = +10.28268 +/- 0.0897 deg
  Azimuth   = 189.22247 +/- 0.1191 deg
  Elevation = +50.68719 +/- 0.0905 deg
  Vavg      =  70.78514 +/- 0.1211 km/s
  Vinit     =  70.07654 +/- 0.1165 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 122.95622 +/- 0.0781 deg
  Dec       = +10.28724 +/- 0.0897 deg
  Azimuth   = 188.82819 +/- 0.1191 deg
  Elevation = +50.71789 +/- 0.0905 deg
  Vavg      =  70.75442 +/- 0.1211 km/s
  Vinit     =  70.04582 +/- 0.1165 km/s
Radiant (geocentric, J2000):
  R.A.   = 122.37444 +/- 0.0785 deg
  Dec    = +10.09106 +/- 0.0900 deg
  Vg     =  69.19259 +/- 0.1180 km/s
  Vinf   =  70.07654 +/- 0.1165 km/s
  Zc     =  39.12809 +/- 0.0905 deg
  Zg     =  39.38656 +/- 0.0908 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 122.34061 +/- 0.0766 deg
  Bg     =  -9.78633 +/- 0.0916 deg
  Vh     =  40.57955 +/- 0.1104 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 115.22277 +/- 0.1543 deg
  Bh     = -16.84732 +/- 0.1504 deg
  Vh_x   =  16.55034 +/- 0.1372 km/s
  Vh_y   = -35.13500 +/- 0.0480 km/s
  Vh_z   =  11.76086 +/- 0.1154 km/s
Orbit:
  La Sun = 220.729316 +/- 0.0000 deg
  a      =   6.258780 +/- 0.3961 AU
  e      =   0.852775 +/- 0.0090
  i      = 162.554294 +/- 0.1574 deg
  peri   =  32.288062 +/- 0.5041 deg
  node   =  40.728730 +/- 0.0000 deg
  Pi     =  73.016793 +/- 0.5041 deg
  q      =   0.921451 +/- 0.0018 AU
  f      = 327.709095 +/- 0.5041 deg
  M      = 358.591169 +/- 0.1578 deg
  Q      =  11.596109 +/- 0.7905 AU
  n      =   0.062946 +/- 0.0060 deg/day
  T      =  15.657959 +/- 1.4902 years
  Last perihelion JD = 2453824.955770 (2006-03-30 10:56:18.535956) +/- 544.6613 days
  Tj     =  -0.261300 +/- 0.0560
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +8.791591e-05, +1.658877e-05, -5.309423e+00, +4.966829e-08, -4.804971e-03, -3.105900e-04
q   , +1.658877e-05, +3.368164e-06, -1.000428e+00, -2.771210e-09, -9.622235e-04, +1.697877e-05
Tp  , -5.309423e+00, -1.000428e+00, +3.222726e+05, -3.017187e-03, +2.898551e+02, +1.884543e+01
node, +4.966829e-08, -2.771210e-09, -3.017187e-03, +6.558346e-10, +1.204362e-07, -4.084240e-06
peri, -4.804971e-03, -9.622235e-04, +2.898551e+02, +1.204362e-07, +2.755885e-01, -6.715248e-04
i   , -3.105900e-04, +1.697877e-05, +1.884543e+01, -4.084240e-06, -6.715248e-04, +2.543828e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK003N
  Avg. res. = 6.538e-06 s
  Stddev    = 2.56e-03 s

Begin point on the trajectory:
  Lon =    -1.427921 +/- 0.0002 deg
  Lat =    49.293987 +/- 0.0001 deg
  Ht  = 108186.34 +/- 12.81 m
End point on the trajectory:
  Lon =    -1.411199 +/- 0.0002 deg
  Lat =    49.364237 +/- 0.0003 deg
  Ht  = 98378.99 +/- 13.07 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
    UK0025,   False,    -2.949750,    50.877380,   82.00,   0.000005,  93.252312,   108186.34,    99572.09,          0.004864,     16.15,     11.05,              37.24, 1.0000,    True,   False, {"ff_name": "FF_UK0025_20211103_054912_543_1125120.fits"}
    UK002D,    True,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   108700.78,    98027.27,          0.022446,       nan,       nan,              27.14, 0.0000,    True,    True, {"ff_name": "FF_UK002D_20211103_054916_312_1123584.fits"}
    UK003N,   False,    -0.162561,    51.236425,  112.00,   0.000000,   0.000000,   107394.55,    98378.99,          0.003515,      7.52,     13.63,              26.71, 1.0000,    True,    True, {"ff_name": "FF_UK003N_20211103_054914_124_1142784.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,     UK0025,       0,  0.022730, 2459521.742617487442, 155.98145,  -7.59024,              147.68260,  26.43673,       147.68233,       26.43695,    155.98145,      -7.59024,     155.98170,       -7.58995, -2645695.27,  3311106.25,  4893994.34,      49.293987,       -1.427921,  108186.34,  235133.53,       0.00,             1704.77,     0.35,      0.00,           69382.90,     -0.76,     -1.11,           1.18,  +3.37,  +1.51
  1,     UK0025,       0,  0.063018, 2459521.742617953569, 156.38126,  -7.80998,              147.35121,  26.09475,       147.34451,       26.10018,    156.38126,      -7.80998,     156.38534,       -7.80282, -2644085.80,  3308599.30,  4893453.87,      49.310737,       -1.423929,  105844.37,  232737.82,    3027.76,             4732.53,   204.87,  75152.85,           69382.90,    -18.59,    -27.16,          29.17,  +1.91,  +0.08
  2,     UK0025,       0,  0.103258, 2459521.742618419230, 156.73120,  -7.98288,              147.05573,  25.81287,       147.05743,       25.81149,    156.73120,      -7.98288,     156.73066,       -7.98471, -2642734.28,  3306494.13,  4893000.02,      49.324812,       -1.420598,  103878.17,  230736.59,    5570.26,             7275.03,   -72.51,  63183.48,           69382.90,      4.70,      6.86,           7.43,  +1.70,  -0.12
  3,     UK0025,       0,  0.143538, 2459521.742618885357, 157.13354,  -8.19112,              146.72193,  25.47898,       146.72581,       25.47584,    157.13354,      -8.19112,     157.13193,       -8.19528, -2641195.46,  3304097.24,  4892483.28,      49.340847,       -1.416778,  101639.98,  228471.93,    8465.10,            10169.87,    -0.35,  71867.87,           69382.90,     10.60,     15.47,          16.93,  +1.17,  -0.62
  4,     UK0025,       0,  0.183806, 2459521.742619351484, 157.51168,  -8.38873,              146.41116,  25.16250,       146.41538,       25.15910,    157.51168,      -8.38873,     157.51004,       -8.39326, -2639773.43,  3301882.24,  4892005.75,      49.355675,       -1.413257,   99572.09,  226391.41,   11140.25,            12845.02,  -147.04,  66433.69,           68835.02,     11.43,     16.68,          18.42,  +1.24,  -0.53
  0,     UK002D,       1,  0.014536, 2459521.742617395241, 134.66379, -14.43457,              173.20247,  23.97604,       173.24575,       23.96012,    134.66379,     -14.43457,     134.62438,      -14.45345, -2646048.76,  3311656.86,  4894113.04,      49.290310,       -1.428801,  108700.78,  256883.69,       0.00,             1039.78,   -90.39,      0.00,           69456.10,     -8.93,    190.92,         153.47,  +3.82,  +1.77
  1,     UK002D,       1,  0.054844, 2459521.742617861833, 134.75526, -14.78721,              173.13561,  23.61765,       173.10393,       23.62921,    134.75526,     -14.78721,     134.78448,      -14.77343, -2644224.88,  3308815.94,  4893500.57,      49.309289,       -1.424255,  106046.73,  253841.56,    3431.11,             4470.89,   516.08,  85122.35,           69456.10,      6.86,   -138.24,         112.47,  +2.79,  +0.77
  2,     UK002D,       1,  0.095004, 2459521.742618326563, 134.89492, -14.96502,              173.00395,  23.42985,       173.01786,       23.42475,    134.89492,     -14.96502,     134.88257,      -14.97111, -2643119.40,  3307094.00,  4893129.35,      49.320800,       -1.421562,  104438.41,  252002.00,    5510.76,             6550.54,  -218.55,  51784.15,           69456.10,     -2.90,     60.37,          49.47,  +2.09,  +0.08
  3,     UK002D,       1,  0.135272, 2459521.742618792690, 135.03819, -15.26974,              172.88024,  23.11510,       172.88572,       23.11310,    135.03819,     -15.26974,     135.03371,      -15.27214, -2641465.62,  3304518.04,  4892574.00,      49.338031,       -1.417446,  102032.89,  249257.75,    8621.87,             9661.65,    70.72,  77259.92,           69456.10,     -1.14,     23.59,          19.54,  +1.59,  -0.39
  4,     UK002D,       1,  0.175516, 2459521.742619258352, 135.16830, -15.54433,              172.76858,  22.83126,       172.76733,       22.83172,    135.16830,     -15.54433,     135.17018,      -15.54378, -2640003.49,  3302240.59,  4892083.01,      49.353276,       -1.413820,   99906.62,  246838.57,   11372.45,            12412.23,     1.14,  68347.69,           69426.73,      0.26,     -5.32,           4.45,  +1.34,  -0.62
  5,     UK002D,       1,  0.215732, 2459521.742619724013, 135.28926, -15.78971,              172.66464,  22.57713,       172.66150,       22.57828,    135.28926,     -15.78971,     135.29306,      -15.78833, -2638710.91,  3300227.22,  4891648.95,      49.366761,       -1.410631,   98027.27,  244705.56,   13804.08,            14843.85,  -385.43,  60464.13,           68138.73,      0.65,    -13.29,          11.22,  +2.56,  +0.62
  0,     UK003N,       1,  0.000000, 2459521.742617227137, 108.34843, -12.37412,              203.05823,  23.68750,       203.09253,       23.69785,    108.34843,     -12.37412,     108.31997,      -12.35621, -2646585.32,  3312492.62,  4894293.22,      49.284729,       -1.430125,  109481.70,  261156.98,       0.00,               30.40,   -81.15,      0.00,           71220.98,   -131.87,     73.01,         119.05,  +4.96,  +2.88
  1,     UK003N,       0,  0.040224, 2459521.742617692798, 108.16597, -12.58085,              203.18953,  23.44257,       203.18739,       23.44192,    108.16597,     -12.58085,     108.16791,      -12.58197, -2645151.17,  3310258.75,  4893811.63,      49.299648,       -1.426589,  107394.55,  258755.26,    2697.94,             2728.34,  -201.97,  67072.84,           71220.98,      8.17,     -4.51,           7.44,  +2.01,  -0.05
  2,     UK003N,       0,  0.080496, 2459521.742618158925, 107.98677, -12.84939,              203.29957,  23.13851,       203.29898,       23.13833,    107.98677,     -12.84939,     107.98760,      -12.84970, -2643483.77,  3307661.57,  4893251.70,      49.317006,       -1.422445,  104968.49,  255969.61,    5834.67,             5865.07,   112.65,  77888.77,           71220.98,      2.23,     -1.23,           2.06,  +1.53,  -0.51
  3,     UK003N,       0,  0.120732, 2459521.742618624587, 107.83574, -13.08638,              203.38864,  22.87185,       203.39606,       22.87410,    107.83574,     -13.08638,     107.83005,      -13.08247, -2642062.13,  3305447.18,  4892774.31,      49.331815,       -1.418931,  102900.48,  253601.60,    8509.08,             8539.48,   -32.55,  66468.04,           71220.98,    -27.86,     15.38,          25.89,  +1.55,  -0.47
  4,     UK003N,       0,  0.161000, 2459521.742619090714, 107.65035, -13.35081,              203.50443,  22.57005,       203.50669,       22.57073,    107.65035,     -13.35081,     107.64914,      -13.34962, -2640462.07,  3302954.88,  4892237.00,      49.348494,       -1.414950,  100573.45,  250943.19,   11519.14,            11549.54,   155.67,  74750.67,           71674.45,     -8.40,      4.64,           7.89,  +1.06,  -0.94
  5,     UK003N,       0,  0.201260, 2459521.742619556375, 107.47288, -13.60625,              203.61374,  22.27879,       203.61290,       22.27854,    107.47288,     -13.60625,     107.47442,      -13.60670, -2638952.82,  3300604.03,  4891730.18,      49.364237,       -1.411199,   98378.99,  248443.21,   14358.37,            14388.77,   173.61,  70522.20,           71639.33,      3.09,     -1.71,           2.93,  +1.79,  -0.19

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.