Orbital Analysis for matched events on 20211103_044348.704_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 140.01° Bg 43.82° Vg 48.54km/s
mass 0.01576g, abs. mag -0.2
best visual mag 0.1
Path Details
------------
start -2.87° 50.20° 93.73km
end   -2.91° 50.19° 87.26km

Orbit Details
-------------
Semimajor axis 1.45A.U., eccentricity 0.35, inclination 97.68°, Period 1.75Y, LA Sun 220.68°, last Perihelion 2021-10-05

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: 2459521.697091481648
Time: 2021-11-03 04:43:48.704014 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0025
 Convergence angle = 30.69748 deg
 R.A. = 165.45805  Dec = +55.02815 deg
Intersection 2 - Stations: UK000H and UK003E
 Convergence angle = 14.58511 deg
 R.A. = 169.80096  Dec = +54.75680 deg
Intersection 3 - Stations: UK000H and UK003Z
 Convergence angle = 2.89845 deg
 R.A. = 196.86775  Dec = +48.98733 deg
Intersection 4 - Stations: UK0025 and UK003E
 Convergence angle = 16.13785 deg
 R.A. = 161.98783  Dec = +53.97026 deg
Intersection 5 - Stations: UK0025 and UK003Z
 Convergence angle = 27.99083 deg
 R.A. = 162.22252  Dec = +54.04674 deg
Intersection 6 - Stations: UK003E and UK003Z
 Convergence angle = 11.85311 deg
 R.A. = 162.58597  Dec = +54.04962 deg

Best intersection: Stations UK000H and UK0025 with Qconv = 30.70 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -1470828.43 +/- 40.99 m
 Y =   3881125.48 +/- 60.84 m
 Z =   4949505.64 +/- 63.50 m
 Vx =   -27488.26 +/- 178.01 m/s
 Vy =     7661.25 +/- 529.01 m/s
 Vz =    40806.65 +/- 537.60 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.647066e+03, -1.247940e+03, -2.092154e+03, +5.563503e+03, -5.745192e+03, -3.961691e+03
-1.247940e+03, +4.101569e+03, -6.268048e+01, -1.111656e+04, +2.818865e+04, +1.242167e+03
-2.092154e+03, -6.268048e+01, +3.835432e+03, -2.893757e+03, -3.859860e+03, +7.362107e+03
+5.563503e+03, -1.111656e+04, -2.893757e+03, +7.137306e+04, -9.942818e+04, -5.460503e+04
-5.745192e+03, +2.818865e+04, -3.859860e+03, -9.942818e+04, +2.704418e+05, +3.511269e+04
-3.961691e+03, +1.242167e+03, +7.362107e+03, -5.460503e+04, +3.511269e+04, +8.501124e+04

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK0025: 0.000399 s
    UK003E: -0.000073 s
    UK003Z: -0.000021 s

Reference point on the trajectory:
  Time: 2021-11-03 04:43:48.704014 UTC
  Lon     = +-2.864640 +/- 0.0005 deg
  Lat     = +50.204625 +/- 0.0005 deg
  Lat geo = +50.018006 +/- 0.0005 deg
  Ht      =   93812.07 +/- 71.69 m

  JD dynamic   = 2459521.697892222553 
  LST apparent = 110.7551833537 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 164.42631 +/- 0.8362 deg
  Dec       = +55.03506 +/- 0.2704 deg
  Azimuth   =  60.26918 +/- 0.7103 deg
  Elevation = +57.88142 +/- 0.4121 deg
  Vavg      =  48.42570 +/- 0.1085 km/s
  Vinit     =  49.79440 +/- 0.4898 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 164.78327 +/- 0.8362 deg
  Dec       = +54.80526 +/- 0.2704 deg
  Azimuth   =  60.59082 +/- 0.7103 deg
  Elevation = +57.62560 +/- 0.4121 deg
  Vavg      =  48.56615 +/- 0.1085 km/s
  Vinit     =  49.93485 +/- 0.4898 km/s
Radiant (geocentric, J2000):
  R.A.   = 164.81530 +/- 0.8588 deg
  Dec    = +55.04965 +/- 0.2686 deg
  Vg     =  48.53935 +/- 0.5025 km/s
  Vinf   =  49.79440 +/- 0.4898 km/s
  Zc     =  32.21150 +/- 0.4140 deg
  Zg     =  32.63380 +/- 0.4241 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 140.01346 +/- 0.4183 deg
  Bg     = +43.81553 +/- 0.4757 deg
  Vh     =  34.31251 +/- 0.3447 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 179.85398 +/- 4.0977 deg
  Bh     = +78.35112 +/- 0.5359 deg
  Vh_x   =   6.92814 +/- 0.3068 km/s
  Vh_y   =  -0.01766 +/- 0.5377 km/s
  Vh_z   = -33.60579 +/- 0.3195 km/s
Orbit:
  La Sun = 220.683711 +/- 0.0000 deg
  a      =   1.451792 +/- 0.0511 AU
  e      =   0.348237 +/- 0.0230
  i      =  97.676955 +/- 0.9805 deg
  peri   = 145.187867 +/- 2.5392 deg
  node   = 220.685821 +/- 0.0000 deg
  Pi     =   5.873688 +/- 2.5392 deg
  q      =   0.946225 +/- 0.0044 AU
  f      =  34.813059 +/- 2.5392 deg
  M      =  16.289705 +/- 2.3418 deg
  Q      =   1.957359 +/- 0.0995 AU
  n      =   0.563440 +/- 0.0330 deg/day
  T      =   1.749271 +/- 0.0906 years
  Last perihelion JD = 2459492.786721 (2021-10-05 06:52:52.723165) +/- 2.2498 days
  Tj     =   3.452439 +/- 0.1441
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.304541e-04, +2.791054e-05, +2.895222e-02, -2.808594e-08, +2.962358e-02, -1.677927e-03
q   , +2.791054e-05, +1.386228e-05, +5.967108e-03, +4.374713e-08, +7.106740e-03, +2.664404e-03
Tp  , +2.895222e-02, +5.967108e-03, +3.341854e+00, +1.370751e-05, +3.758845e+00, +8.362249e-01
node, -2.808594e-08, +4.374713e-08, +1.370751e-05, +2.360316e-10, +1.780228e-05, +1.436477e-05
peri, +2.962358e-02, +7.106740e-03, +3.758845e+00, +1.780228e-05, +4.276568e+00, +1.085475e+00
i   , -1.677927e-03, +2.664404e-03, +8.362249e-01, +1.436477e-05, +1.085475e+00, +8.742402e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.007981
 a2 = 65.479416

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 8.352e-07 s
  Stddev    = 9.14e-04 s

Begin point on the trajectory:
  Lon =    -2.865227 +/- 0.0002 deg
  Lat =    50.204410 +/- 0.0005 deg
  Ht  = 93734.08 +/- 31.69 m
End point on the trajectory:
  Lon =    -2.914665 +/- 0.0002 deg
  Lat =    50.186521 +/- 0.0003 deg
  Ht  = 87259.83 +/- 19.17 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,    93734.08,    87259.83,          0.015009,      7.50,     36.22,              79.46, 0.9666,    True,    True, {"ff_name": "FF_UK000H_20211103_044345_475_1033984.fits"}
    UK0025,   False,    -2.949750,    50.877380,   82.00,   0.000000,   0.000000,    92759.07,    87764.88,          0.003954,      4.83,      6.66,              58.16, 0.7217,    True,    True, {"ff_name": "FF_UK0025_20211103_044347_605_1027072.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,    93513.07,    88358.18,          0.023518,     26.13,     67.33,              85.52, 0.9939,    True,    True, {"ff_name": "FF_UK003E_20211103_044345_514_1034752.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   0.000000,   0.000000,    92658.82,    87715.57,          0.016783,     10.18,     44.73,              83.63, 0.9877,    True,    True, {"ff_name": "FF_UK003Z_20211103_044347_492_1035264.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,     UK000H,       0,  0.000000, 2459521.697091481648,  77.51744,  10.47749,              227.11113,  40.81902,       227.11260,       40.81917,     77.51744,     +10.47749,      77.51651,      +10.47815, -1470777.60,  3881111.32,  4949430.18,      50.204410,       -2.865227,   93734.08,  141998.98,       0.00,               92.08,   171.12,      0.00,           49095.76,     -2.73,      0.57,           4.05,  +3.37,  +2.61
  1,     UK000H,       0,  0.040556, 2459521.697091951035,  77.09253,   9.92897,              227.25697,  40.13825,       227.23448,       40.13601,     77.09253,      +9.92897,      77.10703,       +9.91890, -1469824.74,  3880845.74,  4948015.64,      50.200377,       -2.876399,   92272.21,  141706.16,    1726.09,             1818.17,  -122.25,  42560.66,           49095.76,     41.99,     -8.70,          62.41,  +0.91,  +0.15
  2,     UK000H,       0,  0.081296, 2459521.697092422750,  76.56492,   9.18916,              227.40102,  39.24062,       227.38952,       39.23948,     76.56492,      +9.18916,      76.57266,       +9.18396, -1468579.25,  3880498.61,  4946166.70,      50.195100,       -2.890956,   90361.58,  141352.43,    3982.26,             4074.34,   105.29,  55379.75,           49095.76,     21.68,     -4.49,          32.31,  +0.71,  -0.04
  3,     UK000H,       0,  0.121920, 2459521.697092892602,  76.10216,   8.56621,              227.54234,  38.47577,       227.51944,       38.47349,     76.10216,      +8.56621,      76.11758,       +8.55575, -1467520.51,  3880203.53,  4944594.98,      50.190610,       -2.903359,   88737.58,  141080.55,    5900.16,             5992.24,     0.34,  47210.88,           49095.76,     43.58,     -9.03,          65.07,  +1.14,  +0.39
  4,     UK000H,       0,  0.162488, 2459521.697093362454,  75.68543,   7.99337,              227.66172,  37.77620,       227.63608,       37.77365,     75.68543,      +7.99337,      75.70295,       +7.98157, -1466557.03,  3879935.00,  4943164.69,      50.186521,       -2.914665,   87259.83,  140856.12,    7645.47,             7737.56,  -274.40,  43022.04,           47904.71,     49.18,    -10.19,          73.55,  +3.79,  +3.05
  0,     UK0025,       0,  0.028249, 2459521.697091810405, 113.39885,  11.27841,              175.80504,  50.33800,       175.81298,       50.34142,    113.39885,     +11.27841,     113.39365,      +11.28158, -1470142.09,  3880934.19,  4948486.75,      50.201720,       -2.872684,   92759.07,  119793.87,       0.00,             1243.30,   -84.32,      0.00,           48775.72,    -10.34,      7.50,          22.00,  +1.44,  +1.05
  1,     UK0025,       0,  0.068677, 2459521.697092278395, 112.90598,  10.51067,              176.60752,  49.59153,       176.60182,       49.58909,    112.90598,     +10.51067,     112.91012,      +10.50838, -1468936.68,  3880598.23,  4946697.30,      50.196615,       -2.886775,   90909.86,  118686.37,    2183.58,             3426.88,    86.17,  54011.52,           48775.72,      7.42,     -5.38,          15.94,  +0.82,  +0.45
  2,     UK0025,       0,  0.109089, 2459521.697092745919, 112.45967,   9.78194,              177.31788,  48.87814,       177.32017,       48.87911,    112.45967,      +9.78194,     112.45856,       +9.78287, -1467826.47,  3880288.80,  4945049.18,      50.191908,       -2.899771,   89206.87,  117693.11,    4194.70,             5438.00,    85.00,  49765.47,           48775.72,     -2.98,      2.16,           6.46,  +1.17,  +0.82
  3,     UK0025,       0,  0.149441, 2459521.697093212977, 112.07166,   9.15771,              177.92115,  48.26428,       177.92311,       48.26511,    112.07166,      +9.15771,     112.07094,       +9.15850, -1466886.33,  3880026.78,  4943653.53,      50.187919,       -2.910805,   87764.88,  116872.55,    5897.74,             7141.04,  -221.26,  42204.60,           48775.72,     -2.55,      1.85,           5.56,  +3.42,  +3.08
  0,     UK003E,       0,  0.007706, 2459521.697091568261,  85.82286,  -2.95265,              210.83579,  31.35756,       210.87129,       31.36601,     85.82286,      -2.95265,      85.79686,       -2.93493, -1470633.55,  3881071.17,  4949216.33,      50.203801,       -2.866922,   93513.07,  176058.42,       0.00,              353.03,    48.37,      0.00,           50118.83,    -90.13,     34.99,         113.27,  +2.86,  +1.63
  1,     UK003E,       0,  0.048246, 2459521.697092037648,  85.46318,  -3.46429,              211.04067,  30.75761,       211.06987,       30.76456,     85.46318,      -3.46429,      85.44183,       -3.44962, -1469574.73,  3880776.06,  4947644.50,      50.199318,       -2.879318,   91888.66,  175938.11,    1918.03,             2271.06,   -52.27,  47312.11,           50118.83,    -74.54,     28.93,          93.74,  +0.79,  -0.44
  2,     UK003E,       0,  0.088830, 2459521.697092507500,  85.07011,  -4.01526,              211.26417,  30.10933,       211.28166,       30.11348,     85.07011,      -4.01526,      85.05750,       -4.00642, -1468430.47,  3880457.15,  4945945.83,      50.194469,       -2.892706,   90133.35,  175831.23,    3990.83,             4343.86,    -0.32,  51074.25,           50118.83,    -44.89,     17.41,          56.48,  +0.80,  -0.43
  3,     UK003E,       0,  0.129422, 2459521.697092977352,  84.68162,  -4.57975,              211.47410,  29.44939,       211.49323,       29.45393,     84.68162,      -4.57975,      84.66786,       -4.57000, -1467273.15,  3880134.59,  4944227.77,      50.189561,       -2.906249,   88358.18,  175747.99,    6087.30,             6440.33,    74.89,  51647.31,           50118.83,    -49.39,     19.15,          62.17,  +1.90,  +0.68
  0,     UK003Z,       0,  0.029742, 2459521.697091825306,  77.06256,   5.09482,              224.56070,  35.65366,       224.58923,       35.65725,     77.06256,      +5.09482,      77.04342,       +5.10832, -1470076.75,  3880915.98,  4948389.75,      50.201444,       -2.873444,   92658.82,  156699.46,       0.00,             1361.67,   -40.30,      0.00,           48573.05,    -62.56,     14.23,          84.45,  +1.01,  +0.03
  1,     UK003Z,       0,  0.070326, 2459521.697092295159,  76.62947,   4.48661,              224.70404,  34.91713,       224.73186,       34.92063,     76.62947,      +4.48661,      76.61082,       +4.49988, -1468950.14,  3880601.98,  4946717.29,      50.196672,       -2.886625,   90930.52,  156517.39,    2040.82,             3402.49,   -20.34,  50286.31,           48573.05,    -61.47,     13.99,          83.08,  +0.07,  -0.90
  2,     UK003Z,       0,  0.110962, 2459521.697092765477,  76.14932,   3.84230,              224.87716,  34.12712,       224.88225,       34.12776,     76.14932,      +3.84230,      76.14629,       +3.84475, -1467740.28,  3880264.78,  4944921.24,      50.191542,       -2.900774,   89074.68,  156350.94,    4232.46,             5594.13,   147.86,  53933.42,           48573.05,    -11.34,      2.58,          15.34,  +0.39,  -0.58
  3,     UK003Z,       0,  0.151426, 2459521.697093233932,  75.80023,   3.36682,              224.99783,  33.54624,       224.99182,       33.54548,     75.80023,      +3.36682,      75.80501,       +3.36391, -1466854.18,  3880017.82,  4943605.81,      50.187783,       -2.911184,   87715.57,  156250.35,    5837.61,             7199.28,  -261.87,  39668.62,           48573.05,     13.47,     -3.06,          18.23,  +2.70,  +1.73

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.