Orbital Analysis for matched events on 20210813_221026.323_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 83.46° Bg 34.08° Vg 71.00km/s
mass 0.04657g, abs. mag -2.0
Path Details
------------
start 0.26° 48.22° 110.49km
end   0.08° 47.86° 95.12km

Orbit Details
-------------
Semimajor axis -0.73A.U., eccentricity 2.04, inclination 116.98°, Period 1000000000.00Y, LA Sun 141.08°, 

Full details below
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Detailed report below graphs

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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: 2459440.423915782943
Time: 2021-08-13 22:10:26.323646 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002D and UK0038
 Convergence angle = 4.27642 deg
 R.A. =  78.36408  Dec = +57.80228 deg

Best intersection: Stations UK002D and UK0038 with Qconv = 4.28 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1860202.93 +/- 867.47 m
 Y =  -3911558.71 +/- 748.82 m
 Z =   4815423.36 +/- 454.45 m
 Vx =     6634.50 +/- 5229.17 m/s
 Vy =    37758.67 +/- 3864.19 m/s
 Vz =    60778.99 +/- 2643.81 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK002D: 0.000000 s
    UK0038: -0.000740 s

Reference point on the trajectory:
  Time: 2021-08-13 22:10:26.323646 UTC
  Lon     = ++0.263771 +/- 0.0061 deg
  Lat     = +48.217408 +/- 0.0096 deg
  Lat geo = +48.029389 +/- 0.0096 deg
  Ht      =  110463.65 +/- 365.65 m

  JD dynamic   = 2459440.424716523848 
  LST apparent = 295.4341551115 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  80.03440 +/- 8.4257 deg
  Dec       = +57.75781 +/- 0.5660 deg
  Azimuth   =  19.19234 +/- 3.8383 deg
  Elevation = +19.93402 +/- 2.7156 deg
  Vavg      =  70.12791 +/- 2.9177 km/s
  Vinit     =  71.85972 +/- 2.6811 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  79.65145 +/- 8.4257 deg
  Dec       = +57.63401 +/- 0.5660 deg
  Azimuth   =  19.44495 +/- 3.8383 deg
  Elevation = +19.90566 +/- 2.7156 deg
  Vavg      =  70.22614 +/- 2.9177 km/s
  Vinit     =  71.95796 +/- 2.6811 km/s
Radiant (geocentric, J2000):
  R.A.   =  79.94320 +/- 8.3191 deg
  Dec    = +57.29371 +/- 0.5726 deg
  Vg     =  70.99815 +/- 2.7181 km/s
  Vinf   =  71.85972 +/- 2.6811 km/s
  Zc     =  70.24356 +/- 2.7207 deg
  Zg     =  70.72966 +/- 2.7116 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  83.45832 +/- 5.2624 deg
  Bg     = +34.08416 +/- 1.2443 deg
  Vh     =  54.45397 +/- 3.1852 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 108.06251 +/- 6.6360 deg
  Bh     = +46.94331 +/- 4.0911 deg
  Vh_x   =  11.52686 +/- 4.1299 km/s
  Vh_y   = -35.34479 +/- 3.9772 km/s
  Vh_z   = -39.78835 +/- 0.8751 km/s
Orbit:
  La Sun = 141.075741 +/- 0.0000 deg
  a      =  -0.730831 +/- 1.3843 AU
  e      =   2.038557 +/- 0.2566
  i      = 116.978227 +/- 0.8400 deg
  peri   = 128.766377 +/- 6.7338 deg
  node   = 141.073792 +/- 0.0001 deg
  Pi     = 269.840169 +/- 6.7338 deg
  q      =   0.759010 +/- 0.0599 AU
  f      =  51.229445 +/- 6.7338 deg
  M      =        nan +/- nan deg
  Q      =  -2.220672 +/- 2.8147 AU
  n      =   1.577534 +/- 0.4625 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -7.725015 +/- 1.8645
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000001
 a2 = 31.783033

Mean time residuals from time vs. length:
  Station with reference time: UK002D
  Avg. res. = 3.396e-06 s
  Stddev    = 1.84e-03 s

Begin point on the trajectory:
  Lon =     0.264087 +/- 0.0061 deg
  Lat =    48.218015 +/- 0.0096 deg
  Ht  = 110490.01 +/- 362.96 m
End point on the trajectory:
  Lon =     0.076241 +/- 0.0118 deg
  Lat =    47.859916 +/- 0.0235 deg
  Ht  = 95116.64 +/- 730.88 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
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000001,  31.785791,   110490.01,    95116.64,          0.011317,     81.28,      8.66,             117.01, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210813_221019_854_0180224.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.004905,  51.197712,   109017.05,   105223.83,          0.007286,     52.80,      9.74,             113.54, 1.0000,    True,   False, {"ff_name": "FF_UK0038_20210813_221021_733_0177408.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,     UK002D,       0,  0.000000, 2459440.423915782943, 318.23976, -21.02955,              156.09041,  14.39545,       156.09175,       14.39695,    318.23976,     -21.02955,     318.23798,      -21.02845,  1860210.07, -3911518.09,  4815488.74,      48.218015,       +0.264087,  110490.01,  397793.32,       0.00,               77.30,   150.94,      0.00,           73044.25,     -1.47,    -13.73,           7.16,  +3.63,  +0.63
  1,     UK002D,       0,  0.040232, 2459440.423916248605, 318.05144, -21.32001,              156.34582,  14.16321,       156.35700,       14.17569,    318.05144,     -21.32001,     318.03680,      -21.31090,  1859946.21, -3913019.81,  4813071.47,      48.195581,       +0.252239,  109516.12,  399412.98,    2857.96,             2780.66,   -36.75,  71037.05,           73044.25,    -12.31,   -114.60,          59.52,  +2.09,  -0.92
  2,     UK002D,       0,  0.080484, 2459440.423916714266, 317.81600, -21.63944,              156.65154,  13.91406,       156.65913,       13.92253,    317.81600,     -21.63944,     317.80627,      -21.63324,  1859642.11, -3914750.52,  4810285.60,      48.169716,       +0.238617,  108395.09,  401297.50,    6151.73,             6074.43,   364.52,  81828.62,           73044.25,     -8.39,    -78.21,          40.43,  +1.86,  -1.16
  3,     UK002D,       0,  0.120672, 2459440.423917179462, 317.62852, -21.88031,              156.89022,  13.72800,       156.89055,       13.72837,    317.62852,     -21.88031,     317.62858,      -21.88004,  1859407.17, -3916087.61,  4808133.32,      48.149726,       +0.228062,  107530.01,  402764.86,    8696.39,             8619.09,    21.28,  63319.05,           73044.25,     -0.36,     -3.40,           1.75,  +1.32,  -1.71
  4,     UK002D,       0,  0.160884, 2459440.423917645123, 317.43668, -22.14868,              157.13941,  13.51586,       157.14093,       13.51754,    317.43668,     -22.14868,     317.43535,      -22.14745,  1859150.43, -3917548.78,  4805781.33,      48.127874,       +0.216549,  106585.66,  404381.04,   11477.18,            11399.88,   -87.55,  69153.12,           71587.55,     -1.68,    -15.67,           8.04,  +1.09,  -1.94
  5,     UK002D,       0,  0.201088, 2459440.423918110318, 317.24483, -22.40616,              157.38465,  13.31362,       157.38370,       13.31256,    317.24483,     -22.40616,     317.24694,      -22.40694,  1858899.10, -3918979.18,  4803478.85,      48.106475,       +0.205280,  105662.20,  405975.38,   14199.43,            14122.13,  -254.35,  67710.94,           70617.63,      1.06,      9.91,           5.06,  +1.03,  -2.01
  6,     UK002D,       0,  0.241296, 2459440.423918575514, 317.03902, -22.67485,              157.64465,  13.10322,       157.63865,       13.09657,    317.03902,     -22.67485,     317.04799,      -22.67978,  1858632.44, -3920496.82,  4801035.96,      48.083762,       +0.193342,  104683.52,  407680.31,   17087.69,            17010.39,  -255.42,  71833.06,           70401.31,      6.68,     62.61,          31.86,  +0.87,  -2.18
  7,     UK002D,       0,  0.281516, 2459440.423919041175, 316.84181, -22.95234,              157.89796,  12.88160,       157.89521,       12.87856,    316.84181,     -22.95234,     316.84664,      -22.95459,  1858361.30, -3922039.91,  4798552.09,      48.060661,       +0.181213,  103689.58,  409427.56,   20024.39,            19947.09,  -208.92,  73015.93,           70529.08,      3.08,     28.79,          14.58,  +0.71,  -2.35
  8,     UK002D,       0,  0.321708, 2459440.423919506371, 316.66375, -23.19719,              158.12424,  12.68642,       158.12279,       12.68481,    316.66375,     -23.19719,     316.66703,      -23.19839,  1858118.63, -3923421.02,  4796328.95,      48.039977,       +0.170345,  102800.95,  411002.50,   22652.84,            22575.54,  -468.66,  65397.21,           70246.78,      1.63,     15.30,           7.72,  +0.57,  -2.50
  9,     UK002D,       0,  0.361936, 2459440.423919972032, 316.40992, -23.49126,              158.43118,  12.46049,       158.41105,       12.43825,    316.40992,     -23.49126,     316.43826,      -23.50787,  1857807.49, -3925191.78,  4793478.62,      48.013448,       +0.156467,  101663.02,  413038.69,   26022.83,            25945.53,    10.55,  83772.17,           70841.08,     22.60,    212.79,         106.86,  +0.41,  -2.67
 10,     UK002D,       0,  0.402164, 2459440.423920437694, 316.24353, -23.77860,              158.65564,  12.22024,       158.65992,       12.22497,    316.24353,     -23.77860,     316.23950,      -23.77506,  1857536.13, -3926736.20,  4790992.61,      47.990301,       +0.144349,  100671.77,  414828.32,   28962.06,            28884.76,    59.02,  73064.48,           71266.36,     -4.86,    -45.44,          22.72,  +0.57,  -2.52
 11,     UK002D,       0,  0.442348, 2459440.423920902889, 316.05317, -24.01518,              158.88797,  12.03406,       158.88548,       12.03131,    316.05317,     -24.01518,     316.05835,      -24.01725,  1857287.91, -3928148.89,  4788718.65,      47.969121,       +0.133257,   99766.08,  416476.42,   31650.60,            31573.30,  -140.06,  66905.56,           71344.09,      2.84,     26.59,          13.24,  +0.48,  -2.62
 12,     UK002D,       0,  0.482552, 2459440.423921368085, 315.86146, -24.27726,              159.12699,  11.82287,       159.12721,       11.82312,    315.86146,     -24.27726,     315.86318,      -24.27708,  1857019.12, -3929678.61,  4786256.30,      47.946178,       +0.121266,   98786.49,  418273.61,   34561.85,            34484.56,  -117.85,  72412.16,           71426.27,     -0.25,     -2.37,           1.17,  +0.41,  -2.70
 13,     UK002D,       0,  0.522768, 2459440.423921833280, 315.66708, -24.54985,              159.36999,  11.60147,       159.37607,       11.60817,    315.66708,     -24.54985,     315.66112,      -24.54479,  1856739.46, -3931270.25,  4783694.29,      47.922298,       +0.108804,   97768.46,  420157.00,   37590.95,            37513.65,    21.34,  75320.73,           71589.21,     -7.00,    -65.41,          32.29,  +0.47,  -2.65
 14,     UK002D,       0,  0.562940, 2459440.423922298476, 315.45683, -24.77726,              159.61512,  11.42675,       159.60219,       11.41253,    315.45683,     -24.77726,     315.47648,      -24.78802,  1856482.93, -3932730.21,  4781344.24,      47.900386,       +0.097366,   96835.73,  421896.02,   40369.45,            40292.15,   -86.92,  69164.96,           71634.58,     14.83,    139.44,          68.56,  +0.41,  -2.72
 15,     UK002D,       0,  0.603136, 2459440.423922763672, 315.28380, -25.02712,              159.83136,  11.22156,       159.82741,       11.21722,    315.28380,     -25.02712,     315.29160,      -25.03041,  1856224.93, -3934198.57,  4778980.67,      47.878340,       +0.085869,   95898.70,  423656.28,   43163.92,            43086.62,  -180.92,  69521.16,           71618.34,      4.56,     42.75,          20.93,  +0.55,  -2.59
 16,     UK002D,       0,  0.643288, 2459440.423923228402, 315.12026, -25.22216,              160.02503,  11.06711,       160.01417,       11.05519,    315.12026,     -25.22216,     315.13751,      -25.23123,  1856009.39, -3935425.28,  4777006.07,      47.859916,       +0.076241,   95116.64,  425134.74,   45498.52,            45421.22,  -731.63,  58143.93,           71343.41,     12.55,    118.00,          57.57,  +3.09,  -0.05
  0,     UK0038,       0,  0.060501, 2459440.423916491214, 323.23059, -20.57749,              150.83636,  13.26517,       150.83789,       13.26714,    323.23059,     -20.57749,     323.22866,      -20.57611,  1859810.87, -3913790.02,  4811831.68,      48.184072,       +0.246163,  109017.05,  418504.31,       0.00,             4246.48,   -27.49,      0.00,           70982.51,     -3.27,    -17.72,           8.88,  +3.08,  -0.03
  1,     UK0038,       0,  0.100677, 2459440.423916956410, 323.00027, -20.87918,              151.14597,  13.04947,       151.14203,       13.04440,    323.00027,     -20.87918,     323.00634,      -20.88274,  1859517.49, -3915459.76,  4809143.96,      48.159113,       +0.233019,  107936.12,  420167.90,    3177.73,             7424.21,   263.20,  79095.17,           70982.51,      8.45,     45.91,          22.91,  +1.87,  -1.25
  2,     UK0038,       0,  0.140845, 2459440.423917421140, 322.82328, -21.15061,              151.39604,  12.84557,       151.40218,       12.85345,    322.82328,     -21.15061,     322.81509,      -21.14506,  1859264.45, -3916899.86,  4806825.87,      48.137580,       +0.221667,  107004.93,  421615.96,    5918.43,            10164.91,   117.44,  68231.03,           70982.51,    -13.20,    -71.57,          35.61,  +1.34,  -1.78
  3,     UK0038,       0,  0.180997, 2459440.423917885870, 322.63597, -21.40355,              151.64848,  12.66166,       151.65370,       12.66836,    322.63597,     -21.40355,     322.62925,      -21.39882,  1859017.81, -3918303.59,  4804566.34,      48.116583,       +0.210603,  106098.24,  423039.65,    8589.90,            12836.38,   -96.40,  66533.92,           70982.51,    -11.27,    -61.11,          30.30,  +1.24,  -1.89
  4,     UK0038,       0,  0.221141, 2459440.423918350600, 322.45575, -21.64598,              151.89022,  12.48500,       151.89462,       12.49064,    322.45575,     -21.64598,     322.45038,      -21.64199,  1858779.69, -3919658.74,  4802384.99,      48.096306,       +0.199922,  105223.83,  424425.36,   11168.94,            15415.42,  -402.10,  64244.60,           69099.17,     -9.51,    -51.60,          25.50,  +0.99,  -2.15

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.