Orbital Analysis for matched events on 20210813_010612.596_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 11.46° Bg 18.15° Vg 57.31km/s
mass 0.01495g, abs. mag 0.2
Path Details
------------
start 1.91° 52.96° 108.45km
end   1.82° 53.03° 95.27km

Orbit Details
-------------
Semimajor axis 11.45A.U., eccentricity 0.97, inclination 126.19°, Period 38.74Y, LA Sun 140.23°, last Perihelion 1982-12-24

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: 2459439.545979129616
Time: 2021-08-13 01:06:12.596799 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 32.94763 deg
 R.A. =   3.62875  Dec = +21.61516 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 32.95 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3682888.12 +/- 106.47 m
 Y =  -1329283.66 +/- 83.83 m
 Z =   5154587.26 +/- 74.23 m
 Vx =    54197.86 +/- 713.40 m/s
 Vy =     2996.39 +/- 442.39 m/s
 Vz =    21477.85 +/- 388.34 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.179229e+04, +9.667881e+03, +7.279016e+03, +4.076931e+04, +3.795226e+04, +2.362987e+04
+9.667881e+03, +8.319793e+03, +6.181504e+03, +3.695661e+04, +3.455040e+04, +2.234684e+04
+7.279016e+03, +6.181504e+03, +4.663764e+03, +2.649285e+04, +2.465386e+04, +1.597791e+04
+4.076931e+04, +3.695661e+04, +2.649285e+04, +2.060372e+05, +1.971903e+05, +1.308337e+05
+3.795226e+04, +3.455040e+04, +2.465386e+04, +1.971903e+05, +1.891396e+05, +1.255651e+05
+2.362987e+04, +2.234684e+04, +1.597791e+04, +1.308337e+05, +1.255651e+05, +8.586163e+04

Timing offsets (from input data):
    UK002K: 0.000021 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 01:06:12.596799 UTC
  Lon     = ++1.905838 +/- 0.0017 deg
  Lat     = +52.961702 +/- 0.0002 deg
  Lat geo = +52.779596 +/- 0.0002 deg
  Ht      =  108457.60 +/- 101.62 m

  JD dynamic   = 2459439.546779870521 
  LST apparent = 340.1537065220 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =   3.16444 +/- 0.4355 deg
  Dec       = +21.58780 +/- 0.1460 deg
  Azimuth   = 141.77929 +/- 0.7126 deg
  Elevation = +54.01999 +/- 0.0857 deg
  Vavg      =  58.40443 +/- 0.6535 km/s
  Vinit     =  58.37537 +/- 0.6802 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =   3.44127 +/- 0.4355 deg
  Dec       = +21.54734 +/- 0.1460 deg
  Azimuth   = 141.40647 +/- 0.7126 deg
  Elevation = +53.87936 +/- 0.0857 deg
  Vavg      =  58.50882 +/- 0.6535 km/s
  Vinit     =  58.47976 +/- 0.6802 km/s
Radiant (geocentric, J2000):
  R.A.   =   3.03268 +/- 0.4345 deg
  Dec    = +21.15567 +/- 0.1527 deg
  Vg     =  57.31083 +/- 0.6922 km/s
  Vinf   =  58.37537 +/- 0.6802 km/s
  Zc     =  35.83709 +/- 0.0865 deg
  Zg     =  36.17805 +/- 0.0829 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  11.46126 +/- 0.4461 deg
  Bg     = +18.14972 +/- 0.0839 deg
  Vh     =  40.90983 +/- 0.4210 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 341.01292 +/- 1.0704 deg
  Bh     = +25.87405 +/- 0.1063 deg
  Vh_x   = -34.80615 +/- 0.5672 km/s
  Vh_y   =  11.97594 +/- 0.5658 km/s
  Vh_z   = -17.85282 +/- 0.1818 km/s
Orbit:
  La Sun = 140.232649 +/- 0.0000 deg
  a      =  11.448866 +/- 788.5276 AU
  e      =   0.974964 +/- 0.0128
  i      = 126.187018 +/- 1.2583 deg
  peri   = 296.908045 +/- 2.3756 deg
  node   = 140.231240 +/- 0.0001 deg
  Pi     =  77.139285 +/- 2.3757 deg
  q      =   0.286635 +/- 0.0152 AU
  f      = 243.087661 +/- 2.3755 deg
  M      = 359.037898 +/- nan deg
  Q      =  22.611097 +/- 1577.0568 AU
  n      =   0.025443 +/- 0.0087 deg/day
  T      =  38.738637 +/- 498887496.9877 years
  Last perihelion JD = 2445327.827788 (1982-12-24 07:52:00.868112) +/- 92637.2414 days
  Tj     =   0.065111 +/- 0.2300
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.297593e-05, +9.590185e-05, -6.251564e+02, -1.626439e-08, -2.594428e-04, +1.677739e-04
q   , +9.590185e-05, +1.471470e-04, -9.341393e+02, -2.477789e-08, -3.976557e-04, +2.557734e-04
Tp  , -6.251564e+02, -9.341393e+02, +1.001935e+10, +1.552372e-01, +2.521138e+03, -1.589902e+03
node, -1.626439e-08, -2.477789e-08, +1.552372e-01, +4.242562e-12, +6.705572e-08, -4.377808e-08
peri, -2.594428e-04, -3.976557e-04, +2.521138e+03, +6.705572e-08, +1.074862e-03, -6.921694e-04
i   , +1.677739e-04, +2.557734e-04, -1.589902e+03, -4.377808e-08, -6.921694e-04, +4.518004e-04

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: UK0032
  Avg. res. = 4.828e-06 s
  Stddev    = 2.20e-03 s

Begin point on the trajectory:
  Lon =     1.905817 +/- 0.0016 deg
  Lat =    52.961718 +/- 0.0001 deg
  Ht  = 108454.48 +/- 90.52 m
End point on the trajectory:
  Lon =     1.817594 +/- 0.0012 deg
  Lat =    53.028323 +/- 0.0001 deg
  Ht  = 95265.37 +/- 60.50 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   107193.05,    95684.72,          0.014810,     46.66,     19.64,              27.28, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_010610_891_0435456.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.161267,  28.515042,   108454.48,    95265.37,          0.006400,     18.34,      1.77,              34.63, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210813_010607_091_0441344.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,     UK002K,       0,  0.020550, 2459439.545979371294,  32.09220,  13.95081,              111.67793,  32.07678,       111.69995,       32.06339,     32.09220,     +13.95081,      32.08432,      +13.92918,  3681437.21, -1329363.88,  5154012.28,      52.968076,       +1.897436,  107193.05,  197782.67,       0.00,             1562.74,     2.45,      0.00,           57490.51,     30.76,    -73.08,          82.69,  +3.27,  +1.79
  1,     UK002K,       0,  0.060758, 2459439.545979836490,  32.40652,  13.84766,              111.45154,  31.81826,       111.47945,       31.80132,     32.40652,     +13.84766,      32.39663,      +13.82022,  3679284.57, -1329482.89,  5153159.22,      52.977537,       +1.884921,  105317.14,  195740.06,    2318.57,             3881.31,   -26.14,  57664.29,           57490.51,     38.61,    -91.78,         104.92,  +2.32,  +0.86
  2,     UK002K,       0,  0.101006, 2459439.545980302151,  32.73718,  13.69658,              111.24264,  31.51109,       111.23893,       31.51334,     32.73718,     +13.69658,      32.73896,      +13.70023,  3676974.17, -1329610.62,  5152243.64,      52.987695,       +1.871487,  103304.05,  193555.41,    4807.05,             6369.79,   112.85,  61828.68,           57490.51,     -5.09,     12.07,          13.96,  +1.90,  +0.47
  3,     UK002K,       0,  0.141198, 2459439.545980767347,  33.02668,  13.59296,              111.04119,  31.26551,       111.03603,       31.26863,     33.02668,     +13.59296,      33.02917,      +13.59804,  3675051.56, -1329716.92,  5151481.74,      52.996152,       +1.860269,  101629.07,  191741.69,    6877.85,             8440.60,  -162.57,  51522.81,           57490.51,     -7.03,     16.66,          19.46,  +1.99,  +0.58
  4,     UK002K,       0,  0.181446, 2459439.545981233474,  33.39087,  13.46024,              110.79017,  30.95437,       110.78159,       30.95955,     33.39087,     +13.46024,      33.39480,      +13.46869,  3672680.49, -1329848.00,  5150542.11,      53.006586,       +1.846459,   99563.71,  189514.35,    9431.69,            10994.43,    41.78,  63452.52,           58232.03,    -11.57,     27.40,          32.37,  +1.86,  +0.47
  5,     UK002K,       0,  0.221662, 2459439.545981698669,  33.71707,  13.34786,              110.56178,  30.68079,       110.55648,       30.68398,     33.71707,     +13.34786,      33.71996,      +13.35308,  3670613.92, -1329962.26,  5149723.16,      53.015684,       +1.834389,   97763.86,  187578.81,   11657.54,            13220.29,   -79.99,  55347.48,           58031.82,     -7.08,     16.78,          20.02,  +1.97,  +0.60
  6,     UK002K,       0,  0.261918, 2459439.545982164796,  34.10237,  13.21451,              110.29338,  30.35685,       110.29198,       30.35769,     34.10237,     +13.21451,      34.10398,      +13.21589,  3668226.31, -1330094.26,  5148776.99,      53.026201,       +1.820455,   95684.72,  185352.20,   14229.19,            15791.93,   141.69,  63882.26,           58587.70,     -1.85,      4.38,           5.29,  +2.78,  +1.44
  0,     UK0032,       0,  0.000000, 2459439.545979129616,  41.94745,  30.04922,               90.33303,  39.08939,        90.32927,       39.09291,     41.94745,     +30.04922,      41.94704,      +30.05378,  3682884.55, -1329283.86,  5154585.84,      52.961718,       +1.905817,  108454.48,  169858.58,       0.00,                3.85,  -356.81,      0.00,           60693.99,      1.30,     13.48,          16.44,  +3.54,  +2.39
  1,     UK0032,       0,  0.040304, 2459439.545979596209,  42.61906,  30.10728,               89.74464,  38.72676,        89.75192,       38.72000,     42.61906,     +30.10728,      42.61995,      +30.09847,  3680163.92, -1329434.27,  5153507.70,      52.973672,       +1.890053,  106083.41,  167480.07,    2930.33,             2934.18,   220.75,  72705.62,           60693.99,     -2.48,    -25.70,          31.80,  +2.52,  +1.40
  2,     UK0032,       0,  0.080552, 2459439.545980061870,  43.12143,  30.11736,               89.33647,  38.43157,        89.32601,       38.44122,     43.12143,     +30.11736,      43.12080,      +30.12999,  3678187.19, -1329543.56,  5152724.35,      52.982361,       +1.878540,  104360.93,  165760.68,    5059.42,             5063.27,     0.35,  52899.32,           60693.99,      3.50,     36.45,          45.56,  +1.67,  +0.57
  3,     UK0032,       0,  0.120808, 2459439.545980527997,  43.69233,  30.16614,               88.84168,  38.12293,        88.84392,       38.12088,     43.69233,     +30.16614,      43.69303,      +30.16344,  3675980.01, -1329665.59,  5151849.67,      52.992067,       +1.865693,  102437.91,  163853.36,    7436.73,             7440.58,    27.70,  59054.76,           60693.99,     -0.74,     -7.71,           9.75,  +1.80,  +0.73
  4,     UK0032,       0,  0.161052, 2459439.545980993658,  44.21864,  30.19188,               88.40465,  37.82464,        88.40440,       37.82487,     44.21864,     +30.19188,      44.21930,      +30.19218,  3673994.85, -1329775.34,  5151062.98,      53.000801,       +1.854109,  100708.57,  162147.73,    9574.90,             9578.75,  -183.38,  53130.22,           58758.32,      0.08,      0.86,           1.10,  +1.74,  +0.69
  5,     UK0032,       0,  0.201348, 2459439.545981460251,  44.85757,  30.22594,               87.87417,  37.46463,        87.87587,       37.46309,     44.85757,     +30.22594,      44.85853,      +30.22389,  3671640.97, -1329905.47,  5150130.17,      53.011162,       +1.840391,   98658.32,  160140.53,   12110.23,            12114.08,    -0.35,  62917.53,           58799.71,     -0.55,     -5.71,           7.39,  +1.76,  +0.74
  6,     UK0032,       0,  0.241608, 2459439.545981925912,  45.42642,  30.25530,               87.40501,  37.14353,        87.40962,       37.13937,     45.42642,     +30.25530,      45.42773,      +30.24975,  3669593.68, -1330018.66,  5149318.86,      53.020178,       +1.828426,   96875.38,  158406.05,   14315.32,            14319.17,  -145.45,  54771.26,           58382.90,     -1.48,    -15.28,          19.98,  +2.05,  +1.05
  7,     UK0032,       0,  0.281848, 2459439.545982391573,  45.95121,  30.27671,               86.97897,  36.84333,        86.98322,       36.83952,     45.95121,     +30.27671,      45.95264,      +30.27160,  3667744.74, -1330120.88,  5148586.15,      53.028323,       +1.817594,   95265.37,  156848.98,   16306.77,            16310.63,  -503.02,  49489.48,           57468.62,     -1.35,    -13.93,          18.41,  +3.07,  +2.09

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.