Orbital Analysis for matched events on 20211103_205148.274_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 46.19° Bg 42.93° Vg 29.64km/s
mass 0.08815g, abs. mag -0.1
best visual mag 1.4
Path Details
------------
start -1.22° 53.53° 94.15km
end   -1.28° 53.52° 81.11km

Orbit Details
-------------
Semimajor axis 9.01A.U., eccentricity 0.92, inclination 35.59°, Period 27.06Y, LA Sun 221.36°, last Perihelion 1994-11-19

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: 2459522.369308732450
Time: 2021-11-03 20:51:48.327591 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002X and UK0042
 Convergence angle = 81.12869 deg
 R.A. =  21.94823  Dec = +56.20317 deg

Best intersection: Stations UK002X and UK0042 with Qconv = 81.13 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3840795.45 +/- 65.48 m
 Y =   -332247.05 +/- 50.60 m
 Z =   5181668.30 +/- 106.99 m
 Vx =    16072.50 +/- 257.07 m/s
 Vy =     6583.20 +/- 197.39 m/s
 Vz =    26468.19 +/- 258.25 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.161131e+03, +1.752485e+03, +2.587154e+03, +7.942229e+03, +2.181432e+03, -5.087456e+02
+1.752485e+03, +2.581767e+03, +7.756109e+01, +6.411447e+03, +8.111617e+03, +6.621562e+02
+2.587154e+03, +7.756109e+01, +1.249254e+04, -8.259136e+03, -8.394765e+03, +1.289315e+04
+7.942229e+03, +6.411447e+03, -8.259136e+03, +4.412133e+04, +2.508344e+04, -1.398299e+04
+2.181432e+03, +8.111617e+03, -8.394765e+03, +2.508344e+04, +3.578768e+04, -3.148734e+03
-5.087456e+02, +6.621562e+02, +1.289315e+04, -1.398299e+04, -3.148734e+03, +2.693501e+04

Timing offsets (from input data):
    UK002X: -0.000625 s
    UK0042: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 20:51:48.327591 UTC
  Lon     = +-1.224864 +/- 0.0008 deg
  Lat     = +53.532359 +/- 0.0006 deg
  Lat geo = +53.350910 +/- 0.0006 deg
  Ht      =   94069.60 +/- 106.13 m

  JD dynamic   = 2459522.370110088028 
  LST apparent = 355.0559506369 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  22.27370 +/- 0.4428 deg
  Dec       = +56.72706 +/- 0.4473 deg
  Azimuth   =  67.37467 +/- 1.6401 deg
  Elevation = +74.22565 +/- 0.2365 deg
  Vavg      =  31.01375 +/- 0.0728 km/s
  Vinit     =  31.65800 +/- 0.1485 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  23.09228 +/- 0.4428 deg
  Dec       = +56.53024 +/- 0.4473 deg
  Azimuth   =  68.07356 +/- 1.6401 deg
  Elevation = +73.77358 +/- 0.2365 deg
  Vavg      =  31.08546 +/- 0.0728 km/s
  Vinit     =  31.72971 +/- 0.1485 km/s
Radiant (geocentric, J2000):
  R.A.   =  22.87616 +/- 0.4484 deg
  Dec    = +56.61849 +/- 0.4623 deg
  Vg     =  29.64452 +/- 0.1584 km/s
  Vinf   =  31.65800 +/- 0.1485 km/s
  Zc     =  15.84501 +/- 0.2352 deg
  Zg     =  16.36878 +/- 0.2406 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  46.18631 +/- 0.3591 deg
  Bg     = +42.92616 +/- 0.4526 deg
  Vh     =  41.11283 +/- 0.1368 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 349.38786 +/- 0.3063 deg
  Bh     = +29.41134 +/- 0.2945 deg
  Vh_x   = -35.20151 +/- 0.2100 km/s
  Vh_y   =   6.59551 +/- 0.1724 km/s
  Vh_z   = -20.18953 +/- 0.1628 km/s
Orbit:
  La Sun = 221.357209 +/- 0.0000 deg
  a      =   9.013000 +/- 1.5759 AU
  e      =   0.922990 +/- 0.0090
  i      =  35.591009 +/- 0.2965 deg
  peri   = 248.011971 +/- 0.5127 deg
  node   = 221.356485 +/- 0.0000 deg
  Pi     = 109.368456 +/- 0.5127 deg
  q      =   0.694088 +/- 0.0043 AU
  f      = 291.988340 +/- 0.5127 deg
  M      = 358.645942 +/- 0.2161 deg
  Q      =  17.331913 +/- 3.1530 AU
  n      =   0.036425 +/- 0.0057 deg/day
  T      =  27.058561 +/- 8.0071 years
  Last perihelion JD = 2449676.232257 (1994-11-19 17:34:27.012660) +/- 2924.7766 days
  Tj     =   1.401061 +/- 0.0643
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +7.905983e-05, -1.297013e-05, -2.501237e+01, -5.621683e-09, -5.824273e-06, -7.598770e-04
q   , -1.297013e-05, +1.880718e-05, +3.505223e+00, +3.233137e-09, -2.150839e-03, +4.037051e-04
Tp  , -2.501237e+01, +3.505223e+00, +8.342342e+06, +2.388696e-03, +7.849787e+01, +3.134431e+02
node, -5.621683e-09, +3.233137e-09, +2.388696e-03, +7.028701e-12, -3.010694e-07, +8.290358e-07
peri, -5.824273e-06, -2.150839e-03, +7.849787e+01, -3.010694e-07, +2.776091e-01, -3.633677e-02
i   , -7.598770e-04, +4.037051e-04, +3.134431e+02, +8.290358e-07, -3.633677e-02, +9.825661e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.495778
 a2 = 12.188572

Mean time residuals from time vs. length:
  Station with reference time: UK0042
  Avg. res. = 3.303e-05 s
  Stddev    = 5.75e-03 s

Begin point on the trajectory:
  Lon =    -1.224564 +/- 0.0008 deg
  Lat =    53.532434 +/- 0.0005 deg
  Ht  = 94147.10 +/- 14.73 m
End point on the trajectory:
  Lon =    -1.276812 +/- 0.0005 deg
  Lat =    53.519850 +/- 0.0004 deg
  Ht  = 81106.06 +/- 13.58 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
    UK002X,   False,    -3.059440,    54.994170,   18.00,   0.244204,  17.394028,    94147.10,    81981.78,          0.011566,     29.56,     33.63,              62.16, 1.0000,    True,    True, {"ff_name": "FF_UK002X_20211103_205151_598_0334336.fits"}
    UK0042,   False,    -4.169906,    52.265619,  152.00,   1.704149,  11.633428,    94120.93,    81106.06,          0.023540,     89.33,     56.78,              52.21, 1.0000,    True,    True, {"ff_name": "FF_UK0042_20211103_205142_758_0314368.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,     UK002X,       0,  0.010525, 2459522.369309347123,  26.79917,  -4.94864,              142.92986,  23.92224,       142.94310,       23.92606,     26.79917,      -4.94864,      26.78667,       -4.94926,  3840836.34,  -332230.30,  5181735.63,      53.532434,       -1.224564,   94147.10,  224099.17,       0.00,               80.53,     0.09,      0.00,           33433.55,    -37.29,    -32.76,          45.69,  +5.32,  +3.57
  1,     UK002X,       0,  0.050805, 2459522.369309813716,  26.78323,  -5.31232,              143.08384,  23.58660,       143.06457,       23.58105,     26.78323,      -5.31232,      26.80219,       -5.31142,  3840022.32,  -332563.72,  5180395.11,      53.530949,       -1.230713,   92604.10,  223339.69,    1603.36,             1522.83,   167.21,  39805.39,           33433.55,     54.19,     47.68,          66.66,  +3.23,  +1.49
  2,     UK002X,       0,  0.090981, 2459522.369310278445,  26.82892,  -5.51596,              143.11413,  23.37979,       143.13431,       23.38560,     26.82892,      -5.51596,      26.81000,       -5.51692,  3839563.00,  -332751.85,  5179638.70,      53.530110,       -1.234257,   91733.43,  222912.54,    2508.09,             2427.56,  -199.96,  22519.04,           33433.55,    -56.74,    -49.85,          69.89,  +3.14,  +1.40
  3,     UK002X,       0,  0.131281, 2459522.369310745038,  26.83355,  -5.89897,              143.25339,  23.01878,       143.26140,       23.02109,     26.83355,      -5.89897,      26.82652,       -5.89935,  3838712.57,  -333100.19,  5178238.20,      53.528557,       -1.240677,   90121.42,  222134.30,    4183.19,             4102.66,   199.33,  41565.78,           33433.55,    -22.50,    -19.78,          27.82,  +2.72,  +0.99
  4,     UK002X,       0,  0.171465, 2459522.369311210234,  26.84103,  -6.13188,              143.33299,  22.79759,       143.33943,       22.79945,     26.84103,      -6.13188,      26.83567,       -6.13218,  3838197.83,  -333311.02,  5177390.53,      53.527616,       -1.244631,   89145.70,  221665.77,    5197.07,             5116.54,   -58.94,  25230.89,           32246.28,    -18.08,    -15.90,          22.40,  +2.85,  +1.12
  5,     UK002X,       0,  0.211725, 2459522.369311675895,  26.84501,  -6.46268,              143.45232,  22.48564,       143.44867,       22.48458,     26.84501,      -6.46268,      26.84963,       -6.46251,  3837471.10,  -333608.68,  5176193.75,      53.526288,       -1.250145,   87768.17,  221012.98,    6628.51,             6547.98,    97.95,  35554.89,           32379.78,     10.26,      9.02,          12.75,  +2.49,  +0.77
  6,     UK002X,       0,  0.251941, 2459522.369312141556,  26.86274,  -6.73070,              143.53400,  22.22788,       143.53753,       22.22890,     26.86274,      -6.73070,      26.86053,       -6.73086,  3836883.91,  -333849.20,  5175226.76,      53.525213,       -1.254634,   86655.12,  220489.78,    7785.11,             7704.58,   -18.61,  28759.71,           32039.80,     -9.89,     -8.70,          12.32,  +1.87,  +0.15
  7,     UK002X,       0,  0.292173, 2459522.369312607218,  26.86695,  -7.02860,              143.64003,  21.94661,       143.63540,       21.94528,     26.86695,      -7.02860,      26.87288,       -7.02838,  3836236.09,  -334114.54,  5174159.94,      53.524028,       -1.259571,   85427.18,  219918.83,    9061.11,             8980.58,   -16.27,  31716.10,           31871.15,     12.95,     11.40,          16.18,  +2.08,  +0.37
  8,     UK002X,       0,  0.332397, 2459522.369313072879,  26.88278,  -7.30522,              143.72616,  21.68134,       143.72631,       21.68139,     26.88278,      -7.30522,      26.88420,       -7.30522,  3835636.31,  -334360.20,  5173172.22,      53.522929,       -1.264156,   84290.28,  219395.09,   10242.49,            10161.96,  -108.30,  29370.09,           31625.75,     -0.42,     -0.37,           0.53,  +2.07,  +0.36
  9,     UK002X,       0,  0.372613, 2459522.369313538074,  26.91471,  -7.57365,              143.79288,  21.41827,       143.81456,       21.42450,     26.91471,      -7.57365,      26.89517,       -7.57469,  3835055.26,  -334598.20,  5172215.34,      53.521865,       -1.268603,   83188.87,  218892.43,   11386.99,            11306.46,  -236.96,  28458.84,           31328.15,    -60.60,    -53.27,          76.03,  +1.44,  -0.26
 10,     UK002X,       0,  0.412845, 2459522.369314003736,  26.90693,  -7.87134,              143.90976,  21.14111,       143.91113,       21.14150,     26.90693,      -7.87134,      26.90748,       -7.87140,  3834418.44,  -334859.03,  5171166.64,      53.520697,       -1.273463,   81981.78,  218347.70,   12641.32,            12560.79,  -256.29,  31177.49,           31158.96,     -3.82,     -3.36,           4.80,  +1.61,  -0.09
 11,     UK002X,       1,  0.453013, 2459522.369314468931,  26.93262,  -8.07716,              143.95934,  20.93895,       143.97896,       20.94459,     26.93262,      -8.07716,      26.91534,       -8.07811,  3833976.83,  -335039.92,  5170439.38,      53.519887,       -1.276886,   81144.64,  217971.56,   13511.18,            13430.65,  -658.07,  21655.42,           30696.46,    -54.78,    -48.17,          69.03,  +5.88,  +4.19
  0,     UK0042,       0,  0.000000, 2459522.369308732450,  99.42002,  37.75269,               53.39303,  19.89117,        53.40917,       19.89012,     99.42002,     +37.75269,      99.40580,      +37.74243,  3840822.53,  -332235.96,  5181712.88,      53.532409,       -1.224444,   94120.93,  262377.14,       0.00,               53.33,   306.08,      0.00,           28801.26,    -37.38,     58.81,          54.78,  +4.93,  +2.84
  1,     UK0042,       0,  0.080344, 2459522.369309662376,  99.78332,  37.42073,               53.37166,  19.45222,        53.37401,       19.45207,     99.78332,     +37.42073,      99.78158,      +37.41924,  3839539.37,  -332761.53,  5179599.78,      53.530067,       -1.234208,   91688.65,  260829.85,    2527.44,             2474.11,   183.33,  31457.69,           28801.26,     -5.42,      8.53,           7.99,  +4.28,  +2.20
  2,     UK0042,       0,  0.120476, 2459522.369310126640,  99.92705,  37.29133,               53.36118,  19.27989,        53.35991,       19.27997,     99.92705,     +37.29133,      99.92868,      +37.29213,  3839038.89,  -332966.53,  5178775.59,      53.529153,       -1.238055,   90739.95,  260228.63,    3513.24,             3459.91,  -101.37,  24563.93,           28801.26,      2.94,     -4.62,           4.34,  +4.22,  +2.14
  3,     UK0042,       0,  0.160648, 2459522.369310591836, 100.13761,  37.17569,               53.29692,  19.08548,        53.34397,       19.08240,    100.13761,     +37.17569,     100.09670,      +37.14587,  3838467.49,  -333200.57,  5177834.61,      53.528109,       -1.242424,   89656.84,  259546.34,    4638.72,             4585.39,  -247.65,  28016.63,           28801.26,   -108.18,    170.49,         160.46,  +3.90,  +1.83
  4,     UK0042,       0,  0.200844, 2459522.369311057031, 100.33860,  36.97646,               53.29277,  18.82977,        53.32393,       18.82774,    100.33860,     +36.97646,     100.31187,      +36.95674,  3837735.94,  -333500.21,  5176629.89,      53.526772,       -1.247973,   88270.18,  258679.81,    6079.65,             6026.32,   -79.25,  35847.57,           29644.94,    -71.54,    112.68,         106.43,  +2.38,  +0.32
  5,     UK0042,       0,  0.241024, 2459522.369311522227, 100.51790,  36.77769,               53.30190,  18.58480,        53.30476,       18.58462,    100.51790,     +36.77769,     100.51637,      +36.77588,  3837042.00,  -333784.44,  5175487.11,      53.525503,       -1.253247,   86954.80,  257862.16,    7446.51,             7393.18,    15.59,  34018.33,           30451.64,     -6.56,     10.33,           9.79,  +3.02,  +0.96
  6,     UK0042,       0,  0.281200, 2459522.369311986957, 100.68190,  36.57475,               53.32315,  18.34381,        53.28599,       18.34621,    100.68190,     +36.57475,     100.71601,      +36.59821,  3836365.70,  -334061.45,  5174373.38,      53.524265,       -1.258393,   85672.86,  257069.61,    8778.62,             8725.29,    75.81,  33156.91,           31031.91,     85.21,   -133.81,         127.28,  +2.69,  +0.64
  7,     UK0042,       0,  0.321376, 2459522.369312452152, 100.88127,  36.42783,               53.28393,  18.12961,        53.26889,       18.13059,    100.88127,     +36.42783,     100.89595,      +36.43732,  3835757.38,  -334310.61,  5173371.60,      53.523151,       -1.263040,   84519.77,  256359.67,    9976.82,             9923.49,     2.12,  29823.92,           31212.45,     34.40,    -54.08,          51.57,  +1.92,  -0.12
  8,     UK0042,       0,  0.361532, 2459522.369312916882, 101.05609,  36.29456,               53.25187,  17.93817,        53.25349,       17.93806,    101.05609,     +36.29456,     101.05615,      +36.29354,  3835216.85,  -334532.01,  5172481.45,      53.522161,       -1.267189,   83495.17,  255730.95,   11041.51,            10988.18,  -204.45,  26513.79,           31022.80,     -3.71,      5.84,           5.58,  +2.01,  -0.03
  9,     UK0042,       0,  0.401716, 2459522.369313382078, 101.26011,  36.13314,               53.21758,  17.70994,        53.23548,       17.70877,    101.26011,     +36.13314,     101.24589,      +36.12186,  3834576.89,  -334794.14,  5171427.56,      53.520988,       -1.272071,   82282.11,  254991.97,   12302.04,            12248.71,  -216.06,  31368.93,           30938.22,    -40.78,     64.21,          61.53,  +1.95,  -0.08
 10,     UK0042,       0,  0.441872, 2459522.369313846808, 101.39553,  35.93106,               53.25475,  17.48284,        53.21792,       17.48522,    101.39553,     +35.93106,     101.43012,      +35.95423,  3833956.44,  -335048.27,  5170405.82,      53.519850,       -1.276812,   81106.06,  254279.21,   13524.13,            13470.80,  -265.24,  30433.44,           30868.97,     83.90,   -131.81,         126.74,  +3.26,  +1.23

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.