Orbital Analysis for matched events on 20210904_200919.583_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 79.02° Bg 58.29° Vg 48.75km/s
mass 0.10947g, abs. mag -1.7
Path Details
------------
start -4.53° 49.41° 107.75km
end   -4.57° 49.25° 89.88km

Orbit Details
-------------
Semimajor axis 57.52A.U., eccentricity 0.98, inclination 84.35°, Period 436.21Y, LA Sun 162.21°, last Perihelion 2021-08-30

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: 2459462.339809990954
Time: 2021-09-04 20:09:19.583218 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0024 and UK003K
 Convergence angle = 25.35549 deg
 R.A. =  49.49437  Dec = +80.74885 deg

Best intersection: Stations UK0024 and UK003K with Qconv = 25.36 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    876512.19 +/- 26.09 m
 Y =  -4135961.54 +/- 197.35 m
 Z =   4902423.03 +/- 17.81 m
 Vx =     4921.76 +/- 157.39 m/s
 Vy =     6232.61 +/- 965.28 m/s
 Vz =    49366.46 +/- 338.90 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.756356e+02, -4.494135e+03, +3.119114e+02, +3.026824e+03, -2.243686e+04, -1.279669e+03
-4.494135e+03, +3.602318e+04, -2.425359e+03, -2.062532e+04, +1.690160e+05, +6.041471e+03
+3.119114e+02, -2.425359e+03, +2.970585e+02, +1.565893e+03, -1.377541e+04, -7.626026e+02
+3.026824e+03, -2.062532e+04, +1.565893e+03, +1.462457e+04, -1.109206e+05, -6.489416e+03
-2.243686e+04, +1.690160e+05, -1.377541e+04, -1.109206e+05, +8.986825e+05, +4.495849e+04
-1.279669e+03, +6.041471e+03, -7.626026e+02, -6.489416e+03, +4.495849e+04, +5.165678e+03

Timing offsets (from input data):
    UK0024: -0.000145 s
    UK003K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-04 20:09:19.583218 UTC
  Lon     = +-4.528287 +/- 0.0003 deg
  Lat     = +49.412797 +/- 0.0013 deg
  Lat geo = +49.225723 +/- 0.0012 deg
  Ht      =  107755.28 +/- 139.71 m

  JD dynamic   = 2459462.340610731859 
  LST apparent = 281.9653545445 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  51.70259 +/- 3.6503 deg
  Dec       = +80.86109 +/- 0.8743 deg
  Azimuth   =   9.63486 +/- 0.0783 deg
  Elevation = +43.13489 +/- 1.0991 deg
  Vavg      =  49.94760 +/- 0.2436 km/s
  Vinit     =  50.00117 +/- 0.1977 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.32218 +/- 3.6503 deg
  Dec       = +80.59040 +/- 0.8743 deg
  Azimuth   =  10.11146 +/- 0.0783 deg
  Elevation = +43.09351 +/- 1.0991 deg
  Vavg      =  49.98619 +/- 0.2436 km/s
  Vinit     =  50.03976 +/- 0.1977 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.44162 +/- 3.3875 deg
  Dec    = +80.32208 +/- 0.8990 deg
  Vg     =  48.75423 +/- 0.2027 km/s
  Vinf   =  50.00117 +/- 0.1977 km/s
  Zc     =  47.04955 +/- 1.0992 deg
  Zg     =  47.67942 +/- 1.1106 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  79.01755 +/- 0.5563 deg
  Bg     = +58.29069 +/- 1.0698 deg
  Vh     =  41.76233 +/- 0.3643 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 219.69097 +/- 11.7787 deg
  Bh     = +83.31257 +/- 0.2191 deg
  Vh_x   =   3.74234 +/- 0.1155 km/s
  Vh_y   =   3.10596 +/- 0.9059 km/s
  Vh_z   = -41.47819 +/- 0.3509 km/s
Orbit:
  La Sun = 162.211489 +/- 0.0000 deg
  a      =  57.517089 +/- 14.6581 AU
  e      =   0.982537 +/- 0.0337
  i      =  84.353751 +/- 1.1282 deg
  peri   = 172.760342 +/- 1.3983 deg
  node   = 162.211202 +/- 0.0001 deg
  Pi     = 334.971544 +/- 1.3983 deg
  q      =   1.004396 +/- 0.0019 AU
  f      =   7.236820 +/- 1.3983 deg
  M      =   0.011892 +/- 0.1311 deg
  Q      = 114.029782 +/- 29.3147 AU
  n      =   0.002259 +/- 0.0135 deg/day
  T      = 436.210370 +/- 121.7147 years
  Last perihelion JD = 2459457.077570 (2021-08-30 13:51:42.021946) +/- 1.0820 days
  Tj     =   0.212198 +/- 0.1515
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.055881e-03, +5.907031e-05, +3.355828e-02, +3.016308e-08, +7.572991e-04, -6.101088e-04
q   , +5.907031e-05, +3.386284e-06, +1.915763e-03, +1.722381e-09, +4.325942e-05, -3.483898e-05
Tp  , +3.355828e-02, +1.915763e-03, +1.088228e+00, +9.786609e-07, +2.458724e-02, -1.979357e-02
node, +3.016308e-08, +1.722381e-09, +9.786609e-07, +8.827440e-13, +2.211321e-08, -1.785325e-08
peri, +7.572991e-04, +4.325942e-05, +2.458724e-02, +2.211321e-08, +5.556062e-04, -4.472340e-04
i   , -6.101088e-04, -3.483898e-05, -1.979357e-02, -1.785325e-08, -4.472340e-04, +3.610783e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.116417
 a2 = 15.563379

Mean time residuals from time vs. length:
  Station with reference time: UK003K
  Avg. res. = 1.626e-06 s
  Stddev    = 1.27e-03 s

Begin point on the trajectory:
  Lon =    -4.528310 +/- 0.0003 deg
  Lat =    49.412708 +/- 0.0013 deg
  Ht  = 107745.69 +/- 136.06 m
End point on the trajectory:
  Lon =    -4.573803 +/- 0.0004 deg
  Lat =    49.245766 +/- 0.0025 deg
  Ht  = 89880.42 +/- 187.41 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
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   106351.00,    98048.87,          0.021776,     65.54,     57.66,             105.28, 1.0000,    True,   False, {"ff_name": "FF_UK0024_20210904_200915_253_0068608.fits"}
    UK003K,   False,    -4.388944,    50.464439,  133.00,   0.147050,  15.110716,   107745.69,    89880.42,          0.005912,     15.89,      4.92,              94.96, 1.0000,    True,    True, {"ff_name": "FF_UK003K_20210904_200911_880_0061184.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,     UK0024,       0,  0.037495, 2459462.339810425881, 252.47174,  -6.22284,              215.13945,  26.94722,       215.14024,       26.94699,    252.47174,      -6.22284,     252.47115,       -6.22279,   876309.99, -4136217.59,  4900394.93,      49.399727,       -4.531844,  106351.00,  227507.51,       0.00,             2054.17,   -31.74,      0.00,           50381.72,      1.96,     -2.23,           2.69,  +3.62,  +1.84
  1,     UK0024,       0,  0.118071, 2459462.339811358135, 252.37183,  -7.20294,              214.84375,  25.99833,       214.80596,       26.00934,    252.37183,      -7.20294,     252.40825,       -7.20502,   875910.32, -4136723.72,  4896386.12,      49.373876,       -4.538899,  103576.24,  228587.34,    4060.36,             6114.52,    -0.28,  50391.62,           50381.72,    -94.14,    106.90,         128.53,  +1.24,  -0.56
  2,     UK0024,       0,  0.158311, 2459462.339811824262, 252.38042,  -7.68632,              214.64028,  25.55094,       214.64423,       25.54979,    252.38042,      -7.68632,     252.37731,       -7.68610,   875713.14, -4136973.41,  4894408.40,      49.361114,       -4.542382,  102207.80,  229144.80,    6063.50,             8117.67,    -9.18,  49779.98,           50381.72,      9.88,    -11.23,          13.47,  +1.12,  -0.68
  3,     UK0024,       0,  0.198591, 2459462.339812290389, 252.34672,  -8.17919,              214.47767,  25.07932,       214.47969,       25.07873,    252.34672,      -8.17919,     252.34561,       -8.17908,   875510.08, -4137230.55,  4892371.65,      49.347965,       -4.545964,  100798.85,  229735.59,    8126.44,            10180.61,    39.71,  51214.94,           50381.72,      5.10,     -5.80,           6.93,  +0.70,  -1.11
  4,     UK0024,       0,  0.238831, 2459462.339812756050, 252.34428,  -8.64760,              214.29418,  24.64149,       214.32519,       24.63249,    252.34428,      -8.64760,     252.31540,       -8.64586,   875316.82, -4137475.28,  4890433.21,      49.335445,       -4.549380,   99458.22,  230313.91,   10089.80,            12143.97,    -8.98,  48791.17,           50194.45,     78.52,    -89.35,         106.53,  +0.45,  -1.36
  5,     UK0024,       0,  0.279107, 2459462.339813222177, 252.30898,  -9.13567,              214.13744,  24.17346,       214.16461,       24.16557,    252.30898,      -9.13567,     252.28385,       -9.13414,   875113.61, -4137732.62,  4888394.93,      49.322275,       -4.552963,   98048.87,  230938.19,   12154.28,            14208.45,    41.66,  51258.53,           50247.95,     69.22,    -78.74,          93.64,  +0.65,  -1.17
  0,     UK003K,       0,  0.000000, 2459462.339809990954, 278.40606,   2.30466,              184.95542,  41.73842,       184.94141,       41.73778,    278.40606,      +2.30466,     278.41647,       +2.30344,   876510.81, -4135963.29,  4902409.18,      49.412708,       -4.528310,  107745.69,  159994.66,       0.00,               14.02,  -197.09,      0.00,           50584.66,     -8.64,     27.94,          37.70,  +2.45,  +1.43
  1,     UK003K,       0,  0.040684, 2459462.339810461737, 278.32024,   1.49688,              185.00995,  40.92713,       185.01309,       40.92727,    278.32024,      +1.49688,     278.31805,       +1.49715,   876286.91, -4136246.82,  4900163.47,      49.398235,       -4.532244,  106190.76,  160168.77,    2274.58,             2288.60,    43.24,  55908.57,           50584.66,      1.96,     -6.34,           8.55,  +0.68,  -0.34
  2,     UK003K,       0,  0.081300, 2459462.339810932055, 278.22194,   0.77917,              185.08620,  40.20504,       185.07615,       40.20458,    278.22194,      +0.77917,     278.22992,       +0.77828,   876086.85, -4136500.17,  4898156.78,      49.385297,       -4.535778,  104801.67,  160351.60,    4307.08,             4321.10,    44.89,  50041.70,           50584.66,     -6.36,     20.56,          27.68,  +0.46,  -0.57
  3,     UK003K,       0,  0.121864, 2459462.339811401442, 278.13861,   0.12149,              185.14595,  39.54370,       185.13316,       39.54311,    278.13861,      +0.12149,     278.14893,       +0.12035,   875903.32, -4136732.58,  4896315.92,      49.373423,       -4.539033,  103527.66,  160541.85,    6171.60,             6185.62,  -118.83,  45964.96,           50584.66,     -8.18,     26.45,          35.57,  +0.22,  -0.81
  4,     UK003K,       0,  0.162504, 2459462.339811871760, 278.05169,  -0.63639,              185.20176,  38.78207,       185.19658,       38.78184,    278.05169,      -0.63639,     278.05638,       -0.63686,   875691.52, -4137000.78,  4894191.54,      49.359714,       -4.542763,  102057.77,  160787.91,    8323.29,             8337.32,     0.81,  52945.23,           50577.33,     -3.35,     10.84,          14.55,  +0.19,  -0.84
  5,     UK003K,       0,  0.203108, 2459462.339812341612, 277.97168,  -1.34906,              185.25095,  38.06597,       185.25529,       38.06616,    277.97168,      -1.34906,     277.96912,       -1.34866,   875491.80, -4137253.70,  4892188.26,      49.346781,       -4.546289,  100672.01,  161046.02,   10352.33,            10366.36,    -0.40,  49971.42,           50488.71,      2.85,     -9.21,          12.34,  +0.09,  -0.94
  6,     UK003K,       0,  0.243716, 2459462.339812811930, 277.87927,  -2.06355,              185.31454,  37.34728,       185.31309,       37.34722,    277.87927,      -2.06355,     277.88144,       -2.06368,   875290.49, -4137508.63,  4890169.09,      49.333739,       -4.549842,   99275.58,  161331.60,   12397.46,            12411.48,    14.28,  50362.62,           50443.55,     -0.96,      3.11,           4.17,  +0.18,  -0.86
  7,     UK003K,       0,  0.284304, 2459462.339813281316, 277.79052,  -2.75504,              185.37400,  36.65175,       185.36812,       36.65149,    277.79052,      -2.75504,     277.79640,       -2.75559,   875094.98, -4137756.21,  4888208.09,      49.321068,       -4.553297,   97919.69,  161633.30,   14383.68,            14397.70,   -28.95,  48936.08,           50299.20,     -3.94,     12.73,          17.01,  +0.03,  -1.01
  8,     UK003K,       0,  0.324924, 2459462.339813751634, 277.71206,  -3.49190,              185.41621,  35.91152,       185.42518,       35.91192,    277.71206,      -3.49190,     277.70618,       -3.49106,   874886.32, -4138020.44,  4886115.18,      49.307538,       -4.556973,   96472.95,  161981.52,   16503.50,            16517.52,    59.83,  52186.64,           50357.67,      6.08,    -19.64,          26.18,  +0.24,  -0.81
  9,     UK003K,       0,  0.365504, 2459462.339814221486, 277.61478,  -4.16951,              185.48483,  35.22928,       185.47732,       35.22894,    277.61478,      -4.16951,     277.62244,       -4.17022,   874692.80, -4138265.50,  4884174.16,      49.294985,       -4.560394,   95131.51,  162328.63,   18469.47,            18483.49,    -3.25,  48446.79,           50283.29,     -5.16,     16.64,          22.14,  +0.17,  -0.88
 10,     UK003K,       0,  0.406068, 2459462.339814690873, 277.54350,  -4.84136,              185.52116,  34.55434,       185.52798,       34.55464,    277.54350,      -4.84136,     277.53959,       -4.84070,   874500.91, -4138508.49,  4882249.47,      49.282532,       -4.563787,   93801.65,  162695.58,   20418.90,            20432.92,   -82.06,  48058.25,           50141.71,      4.73,    -15.26,          20.25,  +0.50,  -0.56
 11,     UK003K,       0,  0.446640, 2459462.339815160260, 277.45032,  -5.51615,              185.58270,  33.87509,       185.57816,       33.87489,    277.45032,      -5.51615,     277.45595,       -5.51659,   874306.57, -4138754.60,  4880300.14,      49.269914,       -4.567221,   92455.07,  163090.16,   22393.30,            22407.32,  -136.31,  48664.09,           50003.23,     -3.18,     10.27,          13.59,  +0.57,  -0.49
 12,     UK003K,       0,  0.487184, 2459462.339815629646, 277.37650,  -6.16631,              185.62191,  33.22162,       185.62580,       33.22179,    277.37650,      -6.16631,     277.37528,       -6.16593,   874118.94, -4138992.21,  4878418.16,      49.257727,       -4.570543,   91155.30,  163492.89,   24299.48,            24313.50,  -257.38,  47015.04,           49821.18,      2.75,     -8.86,          11.71,  +0.90,  -0.17
 13,     UK003K,       0,  0.527716, 2459462.339816098567, 277.29834,  -6.80027,              185.66664,  32.58402,       185.67171,       32.58425,    277.29834,      -6.80027,     277.29627,       -6.79978,   873934.86, -4139225.31,  4876571.82,      49.245766,       -4.573803,   89880.42,  163908.62,   26169.56,            26183.58,  -413.95,  46138.22,           49601.70,      3.62,    -11.69,          15.40,  +2.65,  +1.58

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.