Orbital Analysis for matched events on 20211103_001448.017_UK

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Summary for Event
-----------------
shower ID 630 TAR
Lg 52.91° Bg 1.90° Vg 29.30km/s
mass 0.05940g, abs. mag 0.7
best visual mag 1.7
Path Details
------------
start -1.48° 54.62° 92.29km
end   -1.50° 54.70° 78.55km

Orbit Details
-------------
Semimajor axis 2.33A.U., eccentricity 0.86, inclination 2.34°, Period 3.56Y, LA Sun 220.50°, last Perihelion 2018-05-25

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: 2459521.510277982801
Time: 2021-11-03 00:14:48.017714 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Y and UK004B
 Convergence angle = 31.45156 deg
 R.A. =  51.08257  Dec = +21.00171 deg

Best intersection: Stations UK000Y and UK004B with Qconv = 31.45 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2668630.50 +/- 58.52 m
 Y =   2641312.90 +/- 62.25 m
 Z =   5252326.44 +/- 98.37 m
 Vx =    18662.42 +/- 93.61 m/s
 Vy =    22390.94 +/- 211.66 m/s
 Vz =    11512.36 +/- 328.56 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.657063e+03, +1.431088e+03, +2.961193e+03, +3.368768e+03, -7.155387e+03, +7.584840e+03
+1.431088e+03, +4.177005e+03, -3.382611e+03, +8.445078e+02, +6.816956e+03, -1.276284e+04
+2.961193e+03, -3.382611e+03, +1.035826e+04, +2.488522e+03, -1.841473e+04, +2.839494e+04
+3.368768e+03, +8.445078e+02, +2.488522e+03, +5.537951e+03, -8.959269e+03, +7.729952e+03
-7.155387e+03, +6.816956e+03, -1.841473e+04, -8.959269e+03, +4.761012e+04, -6.774093e+04
+7.584840e+03, -1.276284e+04, +2.839494e+04, +7.729952e+03, -6.774093e+04, +1.032444e+05

Timing offsets (from input data):
    UK000Y: 0.000000 s
    UK004B: 0.000197 s

Reference point on the trajectory:
  Time: 2021-11-03 00:14:48.017714 UTC
  Lon     = +-1.477597 +/- 0.0007 deg
  Lat     = +54.619320 +/- 0.0007 deg
  Lat geo = +54.440045 +/- 0.0007 deg
  Ht      =   92385.71 +/- 88.78 m

  JD dynamic   = 2459521.511078723706 
  LST apparent = 44.7052380360 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  50.18945 +/- 0.3322 deg
  Dec       = +21.55175 +/- 0.6223 deg
  Azimuth   = 170.68888 +/- 0.4462 deg
  Elevation = +56.67447 +/- 0.6474 deg
  Vavg      =  29.68499 +/- 0.0278 km/s
  Vinit     =  31.33966 +/- 0.0265 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.72468 +/- 0.3322 deg
  Dec       = +21.53334 +/- 0.6223 deg
  Azimuth   = 169.79214 +/- 0.4462 deg
  Elevation = +56.60363 +/- 0.6474 deg
  Vavg      =  29.71051 +/- 0.0278 km/s
  Vinit     =  31.36519 +/- 0.0265 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.99913 +/- 0.3403 deg
  Dec    = +20.33474 +/- 0.6429 deg
  Vg     =  29.30364 +/- 0.0283 km/s
  Vinf   =  31.33966 +/- 0.0265 km/s
  Zc     =  33.14863 +/- 0.6476 deg
  Zg     =  34.29363 +/- 0.6693 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  52.90991 +/- 0.1903 deg
  Bg     =  +1.89856 +/- 0.6932 deg
  Vh     =  37.51693 +/- 0.0692 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   1.23669 +/- 0.1173 deg
  Bh     =  +1.48306 +/- 0.5426 deg
  Vh_x   = -37.49563 +/- 0.0701 km/s
  Vh_y   =  -0.80944 +/- 0.0752 km/s
  Vh_z   =  -0.97099 +/- 0.3547 km/s
Orbit:
  La Sun = 220.496586 +/- 0.0000 deg
  a      =   2.329819 +/- 0.0310 AU
  e      =   0.855136 +/- 0.0009
  i      =   2.343429 +/- 0.7024 deg
  peri   = 295.572844 +/- 30.6628 deg
  node   = 220.482310 +/- 30.6614 deg
  Pi     = 156.055155 +/- 0.4229 deg
  q      =   0.337507 +/- 0.0028 AU
  f      = 244.442091 +/- 0.4229 deg
  M      = 348.486159 +/- 0.2383 deg
  Q      =   4.322132 +/- 0.0594 AU
  n      =   0.277154 +/- 0.0057 deg/day
  T      =   3.556182 +/- 0.0705 years
  Last perihelion JD = 2458264.136067 (2018-05-25 15:15:56.192118) +/- 25.7619 days
  Tj     =   2.926897 +/- 0.0276
Shower association:
  IAU No.  =  630
  IAU code =  TAR

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +9.150630e-07, +1.828429e-06, -2.271817e-02, +1.560198e-02, -1.591003e-02, -1.892814e-04
q   , +1.828429e-06, +8.125860e-06, -7.072453e-02, +8.090178e-02, -8.214222e-02, +9.232364e-04
Tp  , -2.271817e-02, -7.072453e-02, +7.075777e+02, -6.623595e+02, +6.735464e+02, -2.735271e+00
node, +1.560198e-02, +8.090178e-02, -6.623595e+02, +2.124892e+03, -2.137133e+03, +6.453046e-01
peri, -1.591003e-02, -8.214222e-02, +6.735464e+02, -2.137133e+03, +2.149564e+03, -7.630994e-01
i   , -1.892814e-04, +9.232364e-04, -2.735271e+00, +6.453046e-01, -7.630994e-01, +5.307602e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 9.758467
 a2 = 7.391707

Mean time residuals from time vs. length:
  Station with reference time: UK000Y
  Avg. res. = 5.565e-05 s
  Stddev    = 7.46e-03 s

Begin point on the trajectory:
  Lon =    -1.477761 +/- 0.0008 deg
  Lat =    54.619897 +/- 0.0007 deg
  Ht  = 92285.18 +/- 51.32 m
End point on the trajectory:
  Lon =    -1.502499 +/- 0.0008 deg
  Lat =    54.698986 +/- 0.0008 deg
  Ht  = 78554.22 +/- 54.68 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
    UK000Y,   False,    -1.740490,    53.069201,  230.00,   2.136502,  10.831899,    92285.18,    79385.60,          0.025809,     71.75,     53.31,              94.79, 1.0000,    True,    True, {"ff_name": "FF_UK000Y_20211103_001443_208_0635648.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,  21.307770,   5.681735,    90640.81,    78554.22,          0.016209,     39.69,     26.45,              89.11, 1.0000,    True,    True, {"ff_name": "FF_UK004B_20211103_001447_478_0646144.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,     UK000Y,       0,  0.000000, 2459521.510277982801, 213.06082,  63.59122,                5.65336,  26.99787,         5.61543,       27.00279,    213.06082,     +63.59122,     213.13435,      +63.60058,  2668558.85,  2641226.94,  5252282.24,      54.619897,       -1.477761,   92285.18,  197477.40,       0.00,              120.32,   449.32,      0.00,           25376.51,    -70.18,    -94.49,         122.94,  +3.38,  +1.90
  1,     UK000Y,       0,  0.040228, 2459521.510278448462, 213.23786,  63.33912,                5.60275,  26.73755,         5.56939,       26.74187,    213.23786,     +63.33912,     213.30227,      +63.34729,  2668016.04,  2640575.68,  5251947.39,      54.624274,       -1.479165,   91523.54,  197538.97,     911.54,             1031.86,   100.13,  22659.32,           25376.51,    -61.87,    -83.30,         108.35,  +4.19,  +2.71
  2,     UK000Y,       0,  0.080524, 2459521.510278915055, 213.50503,  63.02393,                5.51456,  26.40944,         5.51208,       26.40976,    213.50503,     +63.02393,     213.50982,      +63.02454,  2667324.76,  2639746.28,  5251520.95,      54.629849,       -1.480910,   90553.62,  197623.71,    2072.41,             2192.73,    -1.86,  28808.59,           25376.51,     -4.62,     -6.22,           8.09,  +2.19,  +0.71
  3,     UK000Y,       0,  0.120764, 2459521.510279380716, 213.67115,  62.76093,                5.46783,  26.13899,         5.46501,       26.13935,    213.67115,     +62.76093,     213.67673,      +62.76161,  2666761.42,  2639070.40,  5251173.45,      54.634394,       -1.482363,   89763.25,  197697.60,    3018.42,             3138.74,  -316.96,  23509.21,           25376.51,     -5.28,     -7.11,           9.24,  +5.08,  +3.60
  4,     UK000Y,       0,  0.161192, 2459521.510279848706, 213.94635,  62.28765,                5.39262,  25.65367,         5.38400,       25.65478,    213.94635,     +62.28765,     213.96299,      +62.28970,  2665751.14,  2637858.28,  5250550.23,      54.642547,       -1.484837,   88345.93,  197842.16,    4714.97,             4835.29,   112.59,  41964.77,           28635.91,    -16.16,    -21.75,          28.25,  +3.94,  +2.46
  5,     UK000Y,       0,  0.201496, 2459521.510280315299, 214.18115,  61.95953,                5.31546,  25.31475,         5.32629,       25.31335,    214.18115,     +61.95953,     214.16135,      +61.95698,  2665038.33,  2637003.06,  5250110.52,      54.648302,       -1.486634,   87345.98,  197952.57,    5911.98,             6032.30,    46.49,  29699.56,           29716.96,     20.37,     27.41,          35.59,  +2.80,  +1.32
  6,     UK000Y,       0,  0.241776, 2459521.510280781426, 214.27012,  61.63054,                5.31212,  24.98309,         5.27150,       24.98835,    214.27012,     +61.63054,     214.34650,      +61.64005,  2664359.10,  2636188.13,  5249691.52,      54.653787,       -1.488354,   86393.17,  198064.41,    7052.62,             7172.94,   -75.24,  28317.59,           29952.85,    -76.68,   -103.22,         133.91,  +2.18,  +0.70
  7,     UK000Y,       0,  0.282100, 2459521.510281248018, 214.52246,  61.27974,                5.22481,  24.62072,         5.21062,       24.62255,    214.52246,     +61.27974,     214.54954,      +61.28302,  2663593.74,  2635269.85,  5249219.39,      54.659970,       -1.490273,   85319.61,  198198.35,    8337.89,             8458.21,   -53.71,  31873.55,           30211.28,    -26.87,    -36.16,          46.89,  +2.89,  +1.40
  8,     UK000Y,       0,  0.322396, 2459521.510281714611, 214.77490,  60.96264,                5.13083,  24.29194,         5.15510,       24.28881,    214.77490,     +60.96264,     214.73136,      +60.95707,  2662894.53,  2634430.96,  5248788.07,      54.665620,       -1.492041,   84338.90,  198327.84,    9512.05,             9632.37,  -142.41,  29138.57,           30260.35,     46.11,     62.06,          80.41,  +2.20,  +0.71
  9,     UK000Y,       0,  0.362756, 2459521.510282181669, 214.90142,  60.54749,                5.11347,  23.87251,         5.08763,       23.87585,    214.90142,     +60.54749,     214.94965,      +60.55338,  2662028.20,  2633391.54,  5248253.65,      54.672623,       -1.494193,   83123.86,  198498.04,   10966.88,            11087.20,    47.55,  36046.26,           30601.39,    -49.31,    -66.37,          85.92,  +3.26,  +1.77
 10,     UK000Y,       0,  0.403024, 2459521.510282647796, 215.11032,  60.25935,                5.03530,  23.57494,         5.03776,       23.57462,    215.11032,     +60.25935,     215.10722,      +60.25879,  2661395.25,  2632632.14,  5247863.20,      54.677740,       -1.495811,   82236.17,  198628.78,   12029.79,            12150.11,  -151.53,  26395.79,           30596.38,      4.71,      6.34,           8.21,  +3.29,  +1.80
 11,     UK000Y,       0,  0.443332, 2459521.510283114389, 215.34805,  59.92584,                4.94495,  23.23084,         4.98092,       23.22621,    215.34805,     +59.92584,     215.28494,      +59.91780,  2660662.18,  2631752.61,  5247410.99,      54.683670,       -1.497660,   81208.13,  198787.35,   13260.82,            13381.14,  -183.73,  30540.68,           30591.35,     69.06,     92.94,         120.15,  +3.20,  +1.71
 12,     UK000Y,       0,  0.483528, 2459521.510283579584, 215.39174,  59.69409,                4.94714,  22.99806,         4.94277,       22.99863,    215.39174,     +59.69409,     215.40126,      +59.69506,  2660182.65,  2631177.27,  5247115.17,      54.687549,       -1.498928,   80535.60,  198894.81,   14066.10,            14186.42,  -638.18,  20033.86,           30241.33,     -8.42,    -11.33,          14.64,  +5.99,  +4.50
 13,     UK000Y,       0,  0.523876, 2459521.510284046177, 215.69990,  59.32777,                4.81846,  22.61785,         4.88033,       22.60989,    215.69990,     +59.32777,     215.59193,      +59.31416,  2659362.52,  2630193.29,  5246609.26,      54.694186,       -1.500978,   79385.60,  199086.70,   15443.33,            15563.65,  -525.44,  34133.85,           30132.54,    119.52,    160.82,         207.59,  +3.43,  +1.93
  0,     UK004B,       0,  0.073715, 2459521.510278885253, 282.80532,  59.45117,              329.86649,  31.87858,       329.84669,       31.87509,    282.80532,     +59.45117,     282.82807,      +59.43846,  2667386.90,  2639820.84,  5251559.29,      54.629348,       -1.480757,   90640.81,  168584.52,       0.00,             2088.38,   107.17,      0.00,           29673.05,    -28.04,    -42.05,          61.84,  +2.04,  +0.91
  1,     UK004B,       0,  0.114067, 2459521.510279352311, 282.23773,  59.14259,              329.93131,  31.45886,       329.94355,       31.46102,    282.23773,     +59.14259,     282.22375,      +59.15041,  2666647.66,  2638933.92,  5251103.27,      54.635312,       -1.482612,   89603.67,  168557.43,    1241.39,             3329.77,    83.94,  30764.05,           29673.05,     17.41,     26.11,          38.41,  +2.15,  +1.02
  2,     UK004B,       0,  0.154411, 2459521.510279819369, 281.64296,  58.87735,              330.04468,  31.06550,       330.03549,       31.06387,    281.64296,     +58.87735,     281.65398,      +58.87150,  2665939.00,  2638083.67,  5250666.12,      54.641031,       -1.484398,   88609.46,  168540.25,    2431.44,             4519.82,     9.63,  29497.67,           29673.05,    -13.13,    -19.69,          28.96,  +1.95,  +0.82
  3,     UK004B,       0,  0.194747, 2459521.510280285962, 281.07149,  58.61526,              330.15390,  30.68103,       330.12447,       30.67584,    281.07149,     +58.61526,     281.10633,      +58.59661,  2665246.86,  2637253.25,  5250239.16,      54.646618,       -1.486147,   87638.50,  168531.69,    3593.74,             5682.12,   -92.19,  28815.36,           29673.05,    -42.17,    -63.24,          93.04,  +2.46,  +1.33
  4,     UK004B,       0,  0.315855, 2459521.510281687602, 279.30766,  57.67457,              330.43966,  29.38101,       330.41842,       29.37727,    279.30766,     +57.67457,     279.33377,      +57.66129,  2662930.66,  2634474.30,  5248810.35,      54.665328,       -1.491949,   84389.58,  168559.74,    7483.33,             9571.71,     1.91,  32116.69,           30840.68,    -30.82,    -46.22,          67.98,  +2.36,  +1.23
  5,     UK004B,       0,  0.356099, 2459521.510282153729, 278.98554,  57.42039,              330.44643,  29.07369,       330.48337,       29.08022,    278.98554,     +57.42039,     278.94301,      +57.44344,  2662401.32,  2633839.21,  5248483.82,      54.669606,       -1.493329,   83647.12,  168580.24,    8372.24,            10460.62,  -370.41,  22087.95,           30107.09,     53.73,     80.63,         118.56,  +2.44,  +1.31
  6,     UK004B,       0,  0.396467, 2459521.510282620788, 278.39081,  57.13154,              330.57666,  28.65681,       330.57692,       28.65685,    278.39081,     +57.13154,     278.39185,      +57.13171,  2661646.03,  2632933.02,  5248017.90,      54.675713,       -1.495227,   82587.84,  168615.59,    9640.60,            11728.97,  -367.17,  31419.90,           29961.40,      0.39,      0.58,           0.85,  +2.02,  +0.89
  7,     UK004B,       0,  0.436851, 2459521.510283088312, 277.80930,  56.79722,              330.67800,  28.20478,       330.67631,       28.20448,    277.80930,     +56.79722,     277.81284,      +56.79617,  2660838.60,  2631964.27,  5247519.81,      54.682243,       -1.497246,   81455.51,  168663.61,   10996.51,            13084.89,  -276.88,  33575.52,           30095.68,     -2.49,     -3.73,           5.48,  +1.96,  +0.82
  8,     UK004B,       0,  0.477199, 2459521.510283555370, 277.29263,  56.48883,              330.76652,  27.79283,       330.76570,       27.79269,    277.29263,     +56.48883,     277.29529,      +56.48833,  2660103.40,  2631082.18,  5247066.29,      54.688191,       -1.499101,   80424.52,  168717.23,   12231.13,            14319.51,  -306.75,  30599.33,           30187.29,     -1.21,     -1.81,           2.66,  +1.74,  +0.60
  9,     UK004B,       0,  0.517591, 2459521.510284022894, 276.71624,  56.14691,              330.87244,  27.33428,       330.86512,       27.33299,    276.71624,     +56.14691,     276.72687,      +56.14243,  2659282.01,  2630096.69,  5246559.59,      54.694838,       -1.501155,   79272.76,  168787.25,   13610.48,            15698.86,  -193.27,  34149.05,           30389.02,    -10.84,    -16.26,          23.87,  +1.97,  +0.83
 10,     UK004B,       0,  0.557839, 2459521.510284488555, 276.35594,  55.93545,              330.94311,  27.04920,       330.92533,       27.04606,    276.35594,     +55.93545,     276.37930,      +55.92460,  2658769.61,  2629481.93,  5246243.51,      54.698986,       -1.502499,   78554.22,  168838.39,   14470.94,            16559.32,  -594.17,  21379.05,           30218.10,    -26.38,    -39.58,          58.11,  +3.21,  +2.07

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.