Orbital Analysis for matched events on 20211103_021910.285_UK

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Summary for Event
-----------------
shower ID 480 TCA
Lg 140.02° Bg 14.93° Vg 68.40km/s
mass 0.03649g, abs. mag -1.0
best visual mag -0.1
Path Details
------------
start -5.43° 50.97° 113.28km
end   -5.73° 50.93° 100.41km

Orbit Details
-------------
Semimajor axis 6.67A.U., eccentricity 0.86, inclination 153.38°, Period 17.24Y, LA Sun 220.58°, last Perihelion 2021-10-11

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: 2459521.596646817867
Time: 2021-11-03 02:19:10.285064 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001K and UK0024
 Convergence angle = 23.04444 deg
 R.A. = 147.52721  Dec = +29.07043 deg

Best intersection: Stations UK001K and UK0024 with Qconv = 23.04 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1270713.21 +/- 119.20 m
 Y =   3894264.65 +/- 30.64 m
 Z =   5019204.76 +/- 64.83 m
 Vx =   -51195.01 +/- 203.54 m/s
 Vy =    32332.34 +/- 320.61 m/s
 Vz =    33694.59 +/- 515.85 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.538118e+04, +2.343137e+03, +7.481572e+03, +6.845210e+04, +9.655882e+03, +3.203688e+04
+2.343137e+03, +1.011964e+03, +1.221660e+03, +9.627019e+03, +3.022404e+03, +3.192797e+03
+7.481572e+03, +1.221660e+03, +4.503990e+03, +3.261487e+04, +3.369887e+03, +1.682717e+04
+6.845210e+04, +9.627019e+03, +3.261487e+04, +3.423433e+05, +4.322598e+04, +1.599158e+05
+9.655882e+03, +3.022404e+03, +3.369887e+03, +4.322598e+04, +1.369190e+04, +1.297009e+04
+3.203688e+04, +3.192797e+03, +1.682717e+04, +1.599158e+05, +1.297009e+04, +8.181893e+04

Timing offsets (from input data):
    UK001K: -0.000044 s
    UK0024: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 02:19:10.285064 UTC
  Lon     = +-5.432443 +/- 0.0015 deg
  Lat     = +50.966065 +/- 0.0002 deg
  Lat geo = +50.780965 +/- 0.0002 deg
  Ht      =  113282.36 +/- 84.03 m

  JD dynamic   = 2459521.597447558772 
  LST apparent = 71.9283005929 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 147.72544 +/- 0.3552 deg
  Dec       = +29.09484 +/- 0.3777 deg
  Azimuth   =  80.63552 +/- 0.1327 deg
  Elevation = +30.84608 +/- 0.4737 deg
  Vavg      =  69.07203 +/- 0.2520 km/s
  Vinit     =  69.29383 +/- 0.2456 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 147.79446 +/- 0.3552 deg
  Dec       = +28.97882 +/- 0.3777 deg
  Azimuth   =  80.68210 +/- 0.1327 deg
  Elevation = +30.72157 +/- 0.4737 deg
  Vavg      =  69.32525 +/- 0.2520 km/s
  Vinit     =  69.54705 +/- 0.2456 km/s
Radiant (geocentric, J2000):
  R.A.   = 147.75401 +/- 0.3545 deg
  Dec    = +28.90159 +/- 0.3792 deg
  Vg     =  68.40020 +/- 0.2488 km/s
  Vinf   =  69.29383 +/- 0.2456 km/s
  Zc     =  59.18421 +/- 0.4735 deg
  Zg     =  59.60656 +/- 0.4745 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 140.02238 +/- 0.4285 deg
  Bg     = +14.93009 +/- 0.2611 deg
  Vh     =  40.68657 +/- 0.2374 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 147.06304 +/- 0.7185 deg
  Bh     = +25.66668 +/- 0.5287 deg
  Vh_x   =  30.77768 +/- 0.5582 km/s
  Vh_y   = -19.93914 +/- 0.1715 km/s
  Vh_z   = -17.62278 +/- 0.2381 km/s
Orbit:
  La Sun = 220.583096 +/- -0.0000 deg
  a      =   6.673255 +/- 0.6311 AU
  e      =   0.861830 +/- 0.0210
  i      = 153.383143 +/- 0.4670 deg
  peri   = 147.930878 +/- 1.1269 deg
  node   = 220.586174 +/- 0.0000 deg
  Pi     =   8.517053 +/- 1.1269 deg
  q      =   0.922041 +/- 0.0052 AU
  f      =  32.071105 +/- 1.1269 deg
  M      =   1.268540 +/- 0.2472 deg
  Q      =  12.424469 +/- 1.2673 AU
  n      =   0.057174 +/- 0.0138 deg/day
  T      =  17.238807 +/- 2.2249 years
  Last perihelion JD = 2459499.410030 (2021-10-11 21:50:26.620397) +/- 0.5779 days
  Tj     =  -0.247068 +/- 0.1189
Shower association:
  IAU No.  =  480
  IAU code =  TCA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.848086e-04, -1.197079e-04, -1.292826e-02, +6.981703e-07, -2.550792e-02, +9.497352e-03
q   , -1.197079e-04, +2.996284e-05, +3.271619e-03, -1.784097e-07, +6.417134e-03, -2.431043e-03
Tp  , -1.292826e-02, +3.271619e-03, +3.611683e-01, -1.974922e-05, +7.044335e-01, -2.696134e-01
node, +6.981703e-07, -1.784097e-07, -1.974922e-05, +1.248340e-09, -3.844581e-05, +1.708243e-05
peri, -2.550792e-02, +6.417134e-03, +7.044335e-01, -3.844581e-05, +1.377949e+00, -5.243615e-01
i   , +9.497352e-03, -2.431043e-03, -2.696134e-01, +1.708243e-05, -5.243615e-01, +2.338422e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 9.964091
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK0024
  Avg. res. = 7.167e-06 s
  Stddev    = 2.68e-03 s

Begin point on the trajectory:
  Lon =    -5.432389 +/- 0.0016 deg
  Lat =    50.966071 +/- 0.0002 deg
  Ht  = 113284.70 +/- 77.57 m
End point on the trajectory:
  Lon =    -5.732567 +/- 0.0013 deg
  Lat =    50.934570 +/- 0.0002 deg
  Ht  = 100413.31 +/- 63.03 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
    UK001K,   False,    -3.557111,    51.483925,   37.50,   0.000000,   0.000000,   112083.52,   100413.31,          0.018288,     48.74,     36.27,             108.14, 1.0000,    True,    True, {"ff_name": "FF_UK001K_20211103_021901_858_0798464.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   113284.70,   100620.07,          0.010792,     38.98,      9.42,             113.88, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20211103_021901_855_0809728.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,     UK001K,       1,  0.002240, 2459521.596646844409,  24.18642,  16.37224,              246.95907,  37.42002,       247.00499,       37.42892,     24.18642,     +16.37224,      24.16149,      +16.40116,  1270809.88,  3894203.60,  5019141.14,      50.965904,       -5.434003,  113215.27,  183531.41,       0.00,              130.85,   244.69,      0.00,           68641.08,    -71.81,    -96.43,         135.13,  +5.42,  +4.10
  1,     UK001K,       0,  0.042716, 2459521.596647312865,  23.64915,  15.97400,              247.17986,  36.79245,       247.19859,       36.79607,     23.64915,     +15.97400,      23.63907,      +15.98585,  1272441.05,  3893173.43,  5018067.56,      50.963176,       -5.460335,  112083.52,  184271.97,    2207.84,             2338.68,  -352.21,  54546.82,           68641.08,    -29.61,    -39.80,          55.52,  +2.75,  +1.42
  2,     UK001K,       0,  0.083404, 2459521.596647783648,  22.89142,  15.39683,              247.47888,  35.89395,       247.46896,       35.89203,     22.89142,     +15.39683,      22.89727,      +15.39050,  1274795.62,  3891686.40,  5016517.88,      50.959227,       -5.498281,  110450.83,  185378.67,    5394.81,             5525.65,    15.33,  78327.00,           68641.08,     15.93,     21.44,          29.72,  +1.49,  +0.15
  3,     UK001K,       0,  0.124016, 2459521.596648253500,  22.24012,  14.87485,              247.71633,  35.10000,       247.70163,       35.09717,     22.24012,     +14.87485,      22.24888,      +14.86541,  1276887.94,  3890364.99,  5015140.79,      50.955705,       -5.532030,  109000.93,  186403.58,    8226.81,             8357.66,    33.18,  69733.30,           68641.08,     23.97,     32.26,          44.47,  +0.99,  -0.36
  4,     UK001K,       0,  0.164612, 2459521.596648723353,  21.61457,  14.36185,              247.93569,  34.32731,       247.92328,       34.32492,     21.61457,     +14.36185,      21.62229,      +14.35382,  1278942.19,  3889067.62,  5013788.77,      50.952236,       -5.565178,  107578.28,  187446.46,   11007.30,            11138.15,     0.61,  68491.58,           69043.18,     20.54,     27.64,          37.90,  +0.56,  -0.80
  5,     UK001K,       0,  0.205176, 2459521.596649193205,  21.03829,  13.87449,              248.12710,  33.60298,       248.12681,       33.60292,     21.03829,     +13.87449,      21.03931,      +13.87430,  1280882.76,  3887842.05,  5012511.56,      50.948950,       -5.596510,  106235.15,  188464.78,   13633.91,            13764.76,  -183.61,  64752.39,           68545.70,      0.48,      0.65,           0.88,  +0.29,  -1.09
  6,     UK001K,       0,  0.245796, 2459521.596649663057,  20.40526,  13.33926,              248.33745,  32.80672,       248.34663,       32.80849,     20.40526,     +13.33926,      20.40100,      +13.34527,  1283042.51,  3886478.05,  5011090.09,      50.945281,       -5.631371,  104741.24,  189633.74,   16557.19,            16688.03,   -75.05,  71966.32,           68734.64,    -15.64,    -21.02,          28.50,  +0.07,  -1.32
  7,     UK001K,       0,  0.286448, 2459521.596650133841,  19.76973,  12.76852,              248.52518,  31.97973,       248.56935,       31.98825,     19.76973,     +12.76852,      19.74523,      +12.79764,  1285300.27,  3885052.16,  5009604.12,      50.941432,       -5.667818,  103180.56,  190895.88,   19613.13,            19743.98,   163.96,  75173.31,           69350.67,    -76.44,   -102.66,         138.30,  +0.01,  -1.39
  8,     UK001K,       0,  0.327028, 2459521.596650603227,  19.16170,  12.27545,              248.74188,  31.23048,       248.77014,       31.23592,     19.16170,     +12.27545,      19.14648,      +12.29418,  1287396.84,  3883728.07,  5008224.24,      50.937847,       -5.701684,  101732.23,  192104.92,   22450.89,            22581.74,   189.77,  69929.97,           69676.63,    -49.58,    -66.63,          89.17,  -0.10,  -1.52
  9,     UK001K,       0,  0.367552, 2459521.596651072614,  18.61915,  11.82702,              248.92907,  30.55460,       248.94832,       30.55830,     18.61915,     +11.82702,      18.60931,      +11.83984,  1289307.19,  3882521.58,  5006966.92,      50.934570,       -5.732567,  100413.31,  193237.37,   25036.61,            25167.45,   -32.57,  63807.07,           69523.07,    -34.18,    -45.95,          61.14,  +1.77,  +0.34
  0,     UK0024,       0,  0.000000, 2459521.596646817867,   3.05082,  26.68493,              274.17593,  31.91032,       274.19607,       31.90701,      3.05082,     +26.68493,       3.03462,      +26.69461,  1270709.84,  3894266.78,  5019206.98,      50.966071,       -5.432389,  113284.70,  209581.66,       0.00,                4.57,   273.65,      0.00,           65353.65,    -14.96,    -61.91,          62.69,  +3.81,  +2.20
  1,     UK0024,       0,  0.040548, 2459521.596647287253,   2.64382,  26.15587,              274.04385,  31.27780,       274.05304,       31.27628,      2.64382,     +26.15587,       2.63657,      +26.16030,  1272626.11,  3893056.56,  5017945.77,      50.962866,       -5.463294,  111955.16,  210690.79,    2593.73,             2589.16,    48.52,  63966.87,           65353.65,     -6.91,    -28.60,          28.80,  +2.63,  +1.01
  2,     UK0024,       0,  0.081104, 2459521.596647756640,   2.23935,  25.60940,              273.90119,  30.63275,       273.90882,       30.63150,      2.23935,     +25.60940,       2.23350,      +25.61308,  1274606.10,  3891806.09,  5016642.61,      50.959545,       -5.495231,  110582.20,  211863.97,    5273.70,             5269.13,   -81.79,  66080.81,           65353.65,     -5.80,    -24.03,          24.07,  +2.30,  +0.67
  3,     UK0024,       0,  0.121648, 2459521.596648226026,   1.86143,  25.06083,              273.74243,  30.00123,       273.76879,       29.99689,      1.86143,     +25.06083,       1.84049,      +25.07358,  1276576.22,  3890561.85,  5015345.96,      50.956230,       -5.527017,  109216.88,  213058.64,    7940.31,             7935.74,  -224.63,  65770.72,           65353.65,    -20.30,    -83.98,          83.65,  +2.12,  +0.48
  4,     UK0024,       0,  0.162268, 2459521.596648695879,   1.40514,  24.45895,              273.60571,  29.28025,       273.61254,       29.27913,      1.40514,     +24.45895,       1.40024,      +24.46226,  1278832.00,  3889137.21,  5013861.29,      50.952423,       -5.563399,  107654.57,  214457.89,   10993.57,            10989.00,    13.92,  75166.50,           67385.55,     -5.33,    -22.07,          21.83,  +1.75,  +0.09
  5,     UK0024,       0,  0.202796, 2459521.596649165265,   1.02746,  23.93627,              273.47805,  28.66429,       273.48043,       28.66390,      1.02746,     +23.93627,       1.02636,      +23.93742,  1280788.36,  3887901.67,  5012573.69,      50.949110,       -5.594983,  106300.48,  215700.65,   13641.55,            13636.98,  -146.45,  65336.99,           67673.11,     -1.87,     -7.76,           7.63,  +1.76,  +0.09
  6,     UK0024,       0,  0.243376, 2459521.596649634652,   0.61436,  23.35838,              273.33877,  27.98450,       273.33640,       27.98489,      0.61436,     +23.35838,       0.61732,      +23.35723,  1282974.46,  3886521.03,  5011134.88,      50.945397,       -5.630267,  104788.30,  217118.19,   16600.50,            16595.93,     0.55,  72916.31,           68337.85,      1.89,      7.83,           7.65,  +1.44,  -0.24
  7,     UK0024,       0,  0.283932, 2459521.596650104038,   0.23551,  22.79068,              273.18667,  27.33211,       273.19926,       27.33004,      0.23551,     +22.79068,       0.22630,      +22.79681,  1285109.86,  3885172.41,  5009729.44,      50.941758,       -5.664747,  103312.14,  218533.17,   19490.82,            19486.25,    80.59,  71267.40,           68858.87,    -10.18,    -42.16,          40.94,  +1.44,  -0.26
  8,     UK0024,       0,  0.324520, 2459521.596650573891, 359.81274,  22.21068,              273.06337,  26.64155,       273.05703,       26.64259,    359.81274,     +22.21068,     359.81935,      +22.20759,  1287381.91,  3883737.49,  5008234.07,      50.937873,       -5.701434,  101742.55,  220070.00,   22566.10,            22561.53,   343.38,  75768.23,           69562.95,      5.19,     21.52,          20.74,  +1.18,  -0.53
  9,     UK0024,       0,  0.364932, 2459521.596651041415, 359.53001,  21.79128,              272.95985,  26.15573,       272.95750,       26.15611,    359.53001,     +21.79128,     359.53348,      +21.79013,  1289007.63,  3882710.76,  5007164.08,      50.935085,       -5.727739,  100620.07,  221192.49,   24766.56,            24761.99,  -256.46,  54450.73,           69100.29,      1.94,      8.03,           7.70,  +2.28,  +0.56
 10,     UK0024,       1,  0.405540, 2459521.596651511732, 359.12860,  21.16116,              272.79116,  25.43913,       272.81155,       25.43578,    359.12860,     +21.16116,     359.11331,      +21.17114,  1291447.80,  3881169.67,  5005558.06,      50.930887,       -5.767150,   98936.35,  222902.56,   28069.39,            28064.82,   232.48,  81334.49,           69404.47,    -17.11,    -70.78,          67.39,  +5.46,  +3.72

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.