Orbital Analysis for matched events on 20211103_002503.284_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 77.89° Bg 54.95° Vg 38.14km/s
mass 0.01612g, abs. mag 1.3
best visual mag 1.8
Path Details
------------
start 1.30° 51.17° 98.97km
end   1.29° 51.13° 87.95km

Orbit Details
-------------
Semimajor axis 4.13A.U., eccentricity 0.81, inclination 61.82°, Period 8.38Y, LA Sun 220.50°, last Perihelion 2013-07-23

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: 2459521.517399126664
Time: 2021-11-03 00:25:03.327191 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0004 and UK0045
 Convergence angle = 25.60455 deg
 R.A. =  59.15698  Dec = +76.49322 deg

Best intersection: Stations UK0004 and UK0045 with Qconv = 25.60 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2612872.52 +/- 58.54 m
 Y =   3120016.96 +/- 165.35 m
 Z =   5024608.80 +/- 209.98 m
 Vx =     4914.49 +/- 499.42 m/s
 Vy =     7811.47 +/- 696.90 m/s
 Vz =    38639.52 +/- 720.02 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.223052e+03, -6.896830e+03, -9.616508e+03, +1.481748e+04, -2.454277e+04, -2.705209e+04
-6.896830e+03, +2.159582e+04, +2.782914e+04, -3.830210e+04, +8.687620e+04, +8.129540e+04
-9.616508e+03, +2.782914e+04, +3.740424e+04, -5.206844e+04, +1.104511e+05, +1.064917e+05
+1.481748e+04, -3.830210e+04, -5.206844e+04, +9.584040e+04, -1.747923e+05, -1.723845e+05
-2.454277e+04, +8.687620e+04, +1.104511e+05, -1.747923e+05, +4.020595e+05, +3.636467e+05
-2.705209e+04, +8.129540e+04, +1.064917e+05, -1.723845e+05, +3.636467e+05, +3.493525e+05

Timing offsets (from input data):
    UK0004: 0.000121 s
    UK0045: -0.002693 s

Reference point on the trajectory:
  Time: 2021-11-03 00:25:03.327191 UTC
  Lon     = ++1.301711 +/- 0.0021 deg
  Lat     = +51.180019 +/- 0.0006 deg
  Lat geo = +50.994851 +/- 0.0006 deg
  Ht      =  100690.96 +/- 220.99 m

  JD dynamic   = 2459521.518200361170 
  LST apparent = 50.0553554194 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  57.82445 +/- 4.2877 deg
  Dec       = +76.56689 +/- 0.3157 deg
  Azimuth   =   4.17327 +/- 2.1991 deg
  Elevation = +64.43506 +/- 0.3002 deg
  Vavg      =  37.77553 +/- 0.6590 km/s
  Vinit     =  39.72636 +/- 0.6898 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  59.64142 +/- 4.2877 deg
  Dec       = +76.50409 +/- 0.3157 deg
  Azimuth   =   5.16112 +/- 2.1991 deg
  Elevation = +64.40365 +/- 0.3002 deg
  Vavg      =  37.78596 +/- 0.6590 km/s
  Vinit     =  39.73679 +/- 0.6898 km/s
Radiant (geocentric, J2000):
  R.A.   =  57.56313 +/- 4.5566 deg
  Dec    = +77.02415 +/- 0.3354 deg
  Vg     =  38.14308 +/- 0.7206 km/s
  Vinf   =  39.72636 +/- 0.6898 km/s
  Zc     =  25.74962 +/- 0.3002 deg
  Zg     =  26.28216 +/- 0.3251 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  77.89332 +/- 1.3455 deg
  Bg     = +54.95364 +/- 0.7137 deg
  Vh     =  39.66430 +/- 0.0759 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 357.34142 +/- 1.9133 deg
  Bh     = +51.93325 +/- 0.7368 deg
  Vh_x   = -24.42985 +/- 0.2881 km/s
  Vh_y   =   1.13439 +/- 0.8678 km/s
  Vh_z   = -31.22742 +/- 0.3548 km/s
Orbit:
  La Sun = 220.503719 +/- 0.0000 deg
  a      =   4.125488 +/- 0.1042 AU
  e      =   0.813901 +/- 0.0065
  i      =  61.820265 +/- 1.4416 deg
  peri   = 240.269851 +/- 1.1176 deg
  node   = 220.504072 +/- 0.0000 deg
  Pi     = 100.773922 +/- 1.1177 deg
  q      =   0.767748 +/- 0.0080 AU
  f      = 299.731017 +/- 1.1176 deg
  M      = 355.696010 +/- 0.1769 deg
  Q      =   7.483228 +/- 0.2124 AU
  n      =   0.117623 +/- 0.0050 deg/day
  T      =   8.379414 +/- 0.3097 years
  Last perihelion JD = 2456497.475320 (2013-07-23 23:24:27.618446) +/- 113.0328 days
  Tj     =   1.750063 +/- 0.0518
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.729891e-05, -2.631173e-05, -6.779408e-01, +9.338546e-08, +3.155032e-03, +5.191218e-03
q   , -2.631173e-05, +6.064451e-05, +2.406300e-01, -1.747432e-07, -8.582742e-03, -9.734812e-03
Tp  , -6.779408e-01, +2.406300e-01, +1.369091e+04, -1.075216e-03, -2.140689e+01, -5.975181e+01
node, +9.338546e-08, -1.747432e-07, -1.075216e-03, +6.062593e-10, +2.435960e-05, +3.377630e-05
peri, +3.155032e-03, -8.582742e-03, -2.140689e+01, +2.435960e-05, +1.227269e+00, +1.357115e+00
i   , +5.191218e-03, -9.734812e-03, -5.975181e+01, +3.377630e-05, +1.357115e+00, +1.882236e+00

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: UK0045
  Avg. res. = 1.496e-06 s
  Stddev    = 1.22e-03 s

Begin point on the trajectory:
  Lon =     1.300869 +/- 0.0017 deg
  Lat =    51.172760 +/- 0.0002 deg
  Ht  = 98972.06 +/- 101.10 m
End point on the trajectory:
  Lon =     1.294111 +/- 0.0017 deg
  Lat =    51.126128 +/- 0.0002 deg
  Ht  = 87953.21 +/- 75.03 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
    UK0004,   False,     0.265784,    50.757315,   55.00,   0.000000,   0.000000,    97578.57,    87976.86,          0.012113,     25.37,      6.20,              32.28, 1.0000,    True,    True, {"ff_name": "FF_UK0004_20211103_002455_424_0658432.fits"}
    UK0045,   False,    -0.162580,    51.236418,  112.00,   0.000000,   0.000000,    98972.06,    87953.21,          0.020215,     47.73,      9.63,              51.46, 1.0000,    True,    True, {"ff_name": "FF_UK0045_20211103_002500_523_0656896.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,     UK0004,       1,  0.000138, 2459521.517399126664, 119.69258,  54.17187,               56.69795,  48.63172,        56.73632,       48.65413,    119.69258,     +54.17187,     119.63941,      +54.15859,  2612869.17,  3120011.65,  5024582.51,      51.179916,       +1.301877,  100666.58,  133221.98,       0.00,               27.03,  -227.22,      0.00,           41192.69,     18.79,     76.40,         121.82,  +5.49,  +4.87
  1,     UK0004,       0,  0.080678, 2459521.517400058918, 120.13986,  53.43934,               57.51597,  48.07416,        57.50802,       48.06955,    120.13986,     +53.43934,     120.15108,      +53.44205,  2612445.68,  3119338.52,  5021252.88,      51.166873,       +1.300027,   97578.57,  130301.75,    3423.29,             3450.32,    -3.48,  42504.27,           41192.69,     -3.80,    -15.53,          25.31,  +2.72,  +2.15
  2,     UK0004,       0,  0.120954, 2459521.517400525045, 120.40743,  53.09925,               57.86271,  47.77872,        57.87439,       47.78547,    120.40743,     +53.09925,     120.39200,      +53.09529,  2612247.60,  3119023.68,  5019695.52,      51.160768,       +1.299151,   96134.33,  128943.95,    5024.45,             5051.48,    -2.35,  39754.64,           41192.69,      5.55,     22.62,          37.26,  +2.16,  +1.61
  3,     UK0004,       0,  0.161226, 2459521.517400991172, 120.64539,  52.74241,               58.23721,  47.48850,        58.24553,       47.49328,    120.64539,     +52.74241,     120.63477,      +52.73961,  2612048.95,  3118707.92,  5018133.61,      51.154642,       +1.298272,   94685.92,  127587.87,    6630.29,             6657.32,     3.64,  39874.90,           41192.69,      3.91,     15.96,          26.57,  +2.36,  +1.83
  4,     UK0004,       0,  0.201498, 2459521.517401457299, 120.86532,  52.38691,               58.61116,  47.20555,        58.60788,       47.20367,    120.86532,     +52.38691,     120.87058,      +52.38800,  2611856.81,  3118402.52,  5016622.95,      51.148714,       +1.297416,   93285.08,  126281.63,    8183.45,             8210.48,   -43.07,  38566.68,           40646.01,     -1.53,     -6.25,          10.51,  +1.79,  +1.28
  5,     UK0004,       0,  0.241790, 2459521.517401923425, 121.12786,  52.01782,               58.97848,  46.89017,        58.98769,       46.89542,    121.12786,     +52.01782,     121.11650,      +52.01477,  2611657.45,  3118085.64,  5015055.49,      51.142561,       +1.296535,   91831.65,  124932.51,    9795.00,             9822.02,   -32.17,  39996.70,           40372.96,      4.26,     17.36,          29.52,  +1.75,  +1.27
  6,     UK0004,       0,  0.282082, 2459521.517402390018, 121.34107,  51.62164,               59.39489,  46.58538,        59.37644,       46.57490,    121.34107,     +51.62164,     121.36687,      +51.62772,  2611455.45,  3117764.56,  5013467.28,      51.136324,       +1.295644,   90359.03,  123572.05,   11427.88,            11454.90,     0.05,  40526.10,           40272.93,     -8.42,    -34.48,          59.24,  +2.01,  +1.55
  7,     UK0004,       0,  0.322386, 2459521.517402856145, 121.60410,  51.23606,               59.76912,  46.25521,        59.76251,       46.25147,    121.60410,     +51.23606,     121.61421,      +51.23822,  2611256.79,  3117448.80,  5011905.34,      51.130187,       +1.294764,   88910.83,  122240.47,   13033.75,            13060.78,     4.80,  39844.15,           40195.48,     -2.99,    -12.23,          21.25,  +2.88,  +2.44
  8,     UK0004,       0,  0.362578, 2459521.517403321341, 121.73622,  50.97492,               60.03904,  46.05493,        60.01210,       46.03970,    121.73622,     +50.97492,     121.77340,      +50.98370,  2611128.67,  3117245.16,  5010898.04,      51.126228,       +1.294138,   87976.86,  121382.71,   14069.38,            14096.41,  -556.26,  25767.01,           39297.57,    -12.11,    -49.63,          86.81,  +5.11,  +4.69
  0,     UK0045,       1,  0.000000, 2459521.517399153206, 105.99916,  30.93135,               93.04514,  43.63665,        93.05243,       43.64019,    105.99916,     +30.93135,     105.99194,      +30.92993,  2612812.68,  3119921.86,  5024138.39,      51.178177,       +1.301666,  100254.67,  143896.00,       0.00,              483.64,   234.88,      0.00,           37655.48,     -3.16,     15.65,          22.88,  +5.91,  +5.12
  1,     UK0045,       0,  0.040364, 2459521.517399620265, 106.09514,  30.50035,               93.39885,  43.28077,        93.39063,       43.27679,    106.09514,     +30.50035,     106.10344,      +30.50195,  2612636.79,  3119642.28,  5022755.44,      51.172760,       +1.300869,   98972.06,  142991.88,    1421.85,             1905.50,    53.22,  35225.75,           37655.48,      3.56,    -17.59,          25.89,  +2.91,  +2.13
  2,     UK0045,       0,  0.080716, 2459521.517400087323, 106.18504,  30.07586,               93.74622,  42.93164,        93.71926,       42.91860,    106.18504,     +30.07586,     106.21205,      +30.08110,  2612465.97,  3119370.77,  5021412.39,      51.167498,       +1.300089,   97726.50,  142121.71,    2802.67,             3286.32,  -169.00,  34219.38,           37655.48,     11.65,    -57.52,          85.18,  +3.00,  +2.24
  3,     UK0045,       0,  0.121200, 2459521.517400555778, 106.37049,  29.52479,               94.13388,  42.43326,        94.14940,       42.44074,    106.37049,     +29.52479,     106.35567,      +29.52177,  2612242.41,  3119015.43,  5019654.69,      51.160607,       +1.299121,   96096.46,  140997.85,    4609.82,             5093.46,    29.87,  44638.52,           37655.48,     -6.65,     32.98,          49.22,  +2.35,  +1.60
  4,     UK0045,       0,  0.161596, 2459521.517401023302, 106.46829,  29.05218,               94.51038,  42.04220,        94.50497,       42.03960,    106.46829,     +29.05218,     106.47431,      +29.05324,  2612057.74,  3118721.90,  5018202.76,      51.154913,       +1.298292,   94750.04,  140078.77,    6102.59,             6586.23,   -82.15,  36953.36,           38100.18,      2.32,    -11.48,          17.25,  +2.48,  +1.75
  5,     UK0045,       0,  0.202060, 2459521.517401491757, 106.62952,  28.51845,               94.88706,  41.56681,        94.90799,       41.57683,    106.62952,     +28.51845,     106.60972,      +28.51440,  2611848.45,  3118389.24,  5016557.23,      51.148456,       +1.297374,   93224.15,  139050.34,    7794.40,             8278.04,     2.18,  41810.35,           38758.05,     -8.92,     44.22,          66.92,  +2.03,  +1.31
  6,     UK0045,       0,  0.242500, 2459521.517401959747, 106.73660,  27.99054,               95.29621,  41.12721,        95.29399,       41.12615,    106.73660,     +27.99054,     106.73981,      +27.99097,  2611648.07,  3118070.73,  5014981.72,      51.142272,       +1.296488,   91763.25,  138077.56,    9414.22,             9897.86,    15.46,  40054.87,           39131.87,      0.95,     -4.68,           7.13,  +2.30,  +1.60
  7,     UK0045,       0,  0.282944, 2459521.517402428202, 106.90175,  27.49060,               95.62469,  40.66933,        95.66350,       40.68780,    106.90175,     +27.49060,     106.86469,      +27.48308,  2611456.29,  3117765.90,  5013473.90,      51.136350,       +1.295633,   90365.16,  137157.62,   10964.46,            11448.10,   -40.99,  38330.46,           39220.72,    -16.43,     81.55,         125.10,  +2.34,  +1.65
  8,     UK0045,       0,  0.323408, 2459521.517402896192, 107.03101,  26.94453,               96.01942,  40.19908,        96.05467,       40.21582,    107.03101,     +26.94453,     106.99763,      +26.93771,  2611253.25,  3117443.18,  5011877.55,      51.130078,       +1.294737,   88885.06,  136196.67,   12605.71,            13089.35,    -7.23,  40560.74,           39351.61,    -14.89,     73.88,         114.13,  +2.79,  +2.12
  9,     UK0045,       0,  0.363692, 2459521.517403362785, 107.06029,  26.58737,               96.32028,  39.92481,        96.30125,       39.91579,    107.06029,     +26.58737,     107.08055,      +26.59105,  2611125.42,  3117240.00,  5010872.54,      51.126128,       +1.294111,   87953.21,  135595.05,   13638.99,            14122.63,  -574.29,  25649.98,           38673.70,      8.07,    -39.79,          61.76,  +5.33,  +4.67

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.