Orbital Analysis for matched events on 20211103_031452.713_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 123.57° Bg -3.10° Vg 63.52km/s
mass 0.00570g, abs. mag 0.5
best visual mag 1.1
Path Details
------------
start -0.04° 51.99° 113.68km
end   -0.14° 52.04° 104.50km

Orbit Details
-------------
Semimajor axis 1.42A.U., eccentricity 0.38, inclination 174.04°, Period 1.69Y, LA Sun 220.62°, last Perihelion 2020-04-06

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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: 2459521.635332326870
Time: 2021-11-03 03:14:52.713042 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK003S
 Convergence angle = 23.78240 deg
 R.A. = 128.15840  Dec = +19.46342 deg
Intersection 2 - Stations: UK002F and UK003X
 Convergence angle = 26.05169 deg
 R.A. = 125.10983  Dec = +14.28974 deg
Intersection 3 - Stations: UK002F and UK004P
 Convergence angle = 28.11842 deg
 R.A. = 127.86482  Dec = +18.97988 deg
Intersection 4 - Stations: UK003S and UK003X
 Convergence angle = 3.37539 deg
 R.A. =  88.57676  Dec = -12.67130 deg
Intersection 5 - Stations: UK003S and UK004P
 Convergence angle = 51.90017 deg
 R.A. = 127.87358  Dec = +19.26538 deg
Intersection 6 - Stations: UK003X and UK004P
 Convergence angle = 54.10562 deg
 R.A. = 127.77703  Dec = +16.06664 deg

Best intersection: Stations UK003X and UK004P with Qconv = 54.11 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    -89972.80 +/- 175.79 m
 Y =   4004701.09 +/- 31.39 m
 Z =   5091829.10 +/- 155.18 m
 Vx =   -35669.31 +/- 207.81 m/s
 Vy =    50469.59 +/- 2187.35 m/s
 Vz =    18392.88 +/- 1453.62 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.750981e+04, -5.207839e+03, -3.267961e+04, +3.244244e+05, -4.543240e+04, -3.183948e+05
-5.207839e+03, +1.132157e+03, +4.724115e+03, -4.147483e+04, +6.138994e+03, +4.412016e+04
-3.267961e+04, +4.724115e+03, +2.917871e+04, -2.768409e+05, +3.941143e+04, +2.769010e+05
+3.244244e+05, -4.147483e+04, -2.768409e+05, +3.126524e+06, -4.325436e+05, -2.991711e+06
-4.543240e+04, +6.138994e+03, +3.941143e+04, -4.325436e+05, +6.821274e+04, +4.068985e+05
-3.183948e+05, +4.412016e+04, +2.769010e+05, -2.991711e+06, +4.068985e+05, +2.969032e+06

Timing offsets (from input data):
    UK002C: 0.000000 s
    UK002F: -0.001293 s
    UK003S: 0.000000 s
    UK003X: -0.000163 s
    UK004P: 0.001355 s

Reference point on the trajectory:
  Time: 2021-11-03 03:14:52.713042 UTC
  Lon     = +-0.038620 +/- 0.0025 deg
  Lat     = +51.991674 +/- 0.0007 deg
  Lat geo = +51.808081 +/- 0.0007 deg
  Ht      =  113665.87 +/- 140.35 m

  JD dynamic   = 2459521.636133067776 
  LST apparent = 91.2870360699 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 125.25070 +/- 1.0329 deg
  Dec       = +16.57354 +/- 0.9302 deg
  Azimuth   = 130.08758 +/- 1.8914 deg
  Elevation = +45.58199 +/- 0.3327 deg
  Vavg      =  61.60964 +/- 1.4928 km/s
  Vinit     =  64.48083 +/- 1.6143 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 125.47471 +/- 1.0329 deg
  Dec       = +16.53216 +/- 0.9302 deg
  Azimuth   = 129.84995 +/- 1.8914 deg
  Elevation = +45.44025 +/- 0.3327 deg
  Vavg      =  61.76652 +/- 1.4928 km/s
  Vinit     =  64.63770 +/- 1.6143 km/s
Radiant (geocentric, J2000):
  R.A.   = 125.12234 +/- 1.0282 deg
  Dec    = +16.33919 +/- 0.9496 deg
  Vg     =  63.51952 +/- 1.6366 km/s
  Vinf   =  64.48083 +/- 1.6143 km/s
  Zc     =  44.29996 +/- 0.3287 deg
  Zg     =  44.65029 +/- 0.3436 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 123.56604 +/- 0.7300 deg
  Bg     =  -3.10006 +/- 1.1494 deg
  Vh     =  34.10118 +/- 1.5391 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 116.58853 +/- 1.5504 deg
  Bh     =  -5.78119 +/- 2.1045 deg
  Vh_x   =  15.18538 +/- 1.6358 km/s
  Vh_y   = -30.33967 +/- 0.8774 km/s
  Vh_z   =   3.43500 +/- 1.3101 km/s
Orbit:
  La Sun = 220.621847 +/- -0.0000 deg
  a      =   1.418331 +/- 0.7603 AU
  e      =   0.378504 +/- 0.1095
  i      = 174.042401 +/- 1.5286 deg
  peri   =  53.556761 +/- 98.9612 deg
  node   =  40.615071 +/- 102.7983 deg
  Pi     =  94.171832 +/- 9.3849 deg
  q      =   0.881487 +/- 0.0231 AU
  f      = 306.434732 +/- 9.2191 deg
  M      = 335.740438 +/- 6.0780 deg
  Q      =   1.955174 +/- 1.5018 AU
  n      =   0.583496 +/- 0.1291 deg/day
  T      =   1.689145 +/- 1.8973 years
  Last perihelion JD = 2458946.241320 (2020-04-06 17:47:30.009339) +/- 699.0523 days
  Tj     =   2.708097 +/- 0.7182
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.292330e-02, +2.866722e-03, -6.881664e+01, -7.854635e+00, -9.001412e+00, +1.476252e-01
q   , +2.866722e-03, +7.172037e-04, -1.362956e+01, -1.529888e+00, -1.811193e+00, +4.428519e-02
Tp  , -6.881664e+01, -1.362956e+01, +4.226101e+05, +4.332588e+04, +4.887558e+04, -5.067782e+02
node, -7.854635e+00, -1.529888e+00, +4.332588e+04, +7.232184e+03, +7.858566e+03, -5.666434e+01
peri, -9.001412e+00, -1.811193e+00, +4.887558e+04, +7.858566e+03, +8.595641e+03, -7.364785e+01
i   , +1.476252e-01, +4.428519e-02, -5.067782e+02, -5.666434e+01, -7.364785e+01, +3.632669e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.539913
 a2 = 21.514930

Mean time residuals from time vs. length:
  Station with reference time: UK003S
  Avg. res. = 2.799e-06 s
  Stddev    = 1.67e-03 s

Begin point on the trajectory:
  Lon =    -0.038461 +/- 0.0024 deg
  Lat =    51.991591 +/- 0.0007 deg
  Ht  = 113680.71 +/- 133.60 m
End point on the trajectory:
  Lon =    -0.138033 +/- 0.0033 deg
  Lat =    52.042802 +/- 0.0004 deg
  Ht  = 104500.87 +/- 230.87 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
    UK002C,    True,    -1.801980,    51.351940,  130.00, 3471.534724,   1.582997,   110854.79,   106123.36,          0.019852,       nan,       nan,              47.22, 0.0000,    True,    True, {"ff_name": "FF_UK002C_20211103_031447_486_0900608.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,  33.533363,   0.000000,   111873.32,   104500.87,          0.031391,     38.50,     64.98,              28.51, 0.2278,    True,    True, {"ff_name": "FF_UK002F_20211103_031452_351_0881408.fits"}
    UK003S,   False,    -2.379340,    51.361330,  169.00,  37.278658,   0.000000,   113680.71,   106071.03,          0.021924,     12.33,     77.69,              45.54, 0.5095,    True,    True, {"ff_name": "FF_UK003S_20211103_031447_623_0898048.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.000000,   0.000000,   112750.38,   106048.58,          0.046460,     11.09,    158.94,              36.62, 0.3559,    True,    True, {"ff_name": "FF_UK003X_20211103_031446_947_0898304.fits"}
    UK004P,   False,     0.265814,    50.757198,   61.00,   0.000000,   0.000000,   111131.87,   106120.04,          0.033541,     91.63,     52.34,              85.19, 0.9930,    True,    True, {"ff_name": "FF_UK004P_20211103_031449_718_0912640.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,     UK002C,       1,  0.114380, 2459521.635333650745, 175.22861,  47.48276,               58.01888,  37.39182,        58.00276,       37.41230,    175.22861,     +47.48276,     175.21709,      +47.50552,   -87795.31,  4001620.09,  5090706.28,      52.007342,       -0.069270,  110854.79,  179666.81,       0.00,             3936.34, -3694.01,      0.00,           56802.36,    -71.36,     25.38,          86.95,  +6.19,  +4.92
  1,     UK002C,       1,  0.154416, 2459521.635334114078, 175.64370,  47.59929,               57.68508,  37.24477,        57.67809,       37.25361,    175.64370,     +47.59929,     175.63922,      +47.60915,   -87124.82,  4000671.40,  5090360.54,      52.012167,       -0.078737,  109989.42,  178901.73,    1212.06,             5148.40, -5063.51,  30274.28,           56802.36,    -30.72,     10.94,          37.60,  +2.57,  +1.31
  2,     UK002C,       1,  0.194520, 2459521.635334578343, 176.65871,  47.85554,               56.90015,  36.87134,        56.90516,       36.86509,    176.65871,     +47.85554,     176.66305,      +47.84850,   -85533.09,  3998419.20,  5089539.76,      52.023625,       -0.101000,  107935.52,  177116.51,    4089.51,             8025.85, -4772.00,  71749.63,           56802.36,     21.63,     -7.71,          26.74,  +1.66,  +0.42
  3,     UK002C,       1,  0.234608, 2459521.635335042141, 177.57750,  48.08364,               56.19695,  36.53581,        56.21648,       36.51167,    177.57750,     +48.08364,     177.59173,      +48.05625,   -84128.30,  3996431.53,  5088815.39,      52.033740,       -0.120689,  106123.36,  175564.32,    6628.99,            10565.33, -4817.42,  63347.75,           56802.36,     83.07,    -29.68,         103.64,  +3.81,  +2.59
  0,     UK002F,       0,  0.034988, 2459521.635332746897, 146.67648,  42.62151,               80.78053,  51.48171,        80.77063,       51.52846,    146.67648,     +42.62151,     146.62869,      +42.65281,   -88584.35,  4002736.52,  5091113.15,      52.001664,       -0.058005,  111873.32,  142021.99,       0.00,             2509.96,    -1.11,      0.00,           64710.20,   -100.65,     59.41,         169.74,  +1.42,  +0.66
  1,     UK002F,       0,  0.075120, 2459521.635333211161, 147.09691,  43.04572,               79.93919,  51.46257,        79.93936,       51.46179,    147.09691,     +43.04572,     147.09803,      +43.04519,   -87247.61,  4000845.13,  5090423.86,      52.011284,       -0.076708,  110147.97,  139967.45,    2416.47,             4926.43,  -172.38,  60213.12,           64710.20,      1.66,     -0.99,           2.85,  +1.18,  +0.45
  2,     UK002F,       0,  0.115320, 2459521.635333676357, 147.67009,  43.52946,               78.92292,  51.38197,        78.92554,       51.37150,    147.67009,     +43.52946,     147.68141,      +43.52234,   -85662.90,  3998602.87,  5089606.70,      52.022691,       -0.098872,  108103.11,  137548.59,    5281.23,             7791.19,   100.25,  71262.59,           64710.20,     21.89,    -12.98,          38.16,  +1.07,  +0.38
  3,     UK002F,       0,  0.155484, 2459521.635334141552, 148.16558,  43.95980,               78.03263,  51.31764,        78.04114,       51.28588,    148.16558,     +43.95980,     148.19921,      +43.93804,   -84319.66,  3996702.29,  5088914.06,      52.032362,       -0.117704,  106370.32,  135511.07,    7709.44,            10219.40,   -61.35,  60457.44,           64710.20,     65.47,    -38.91,         115.92,  +1.40,  +0.74
  4,     UK002F,       0,  0.195684, 2459521.635334606748, 148.74327,  44.42465,               77.04948,  51.22122,        77.06068,       51.18244,    148.74327,     +44.42465,     148.78453,      +44.39783,   -82870.12,  3994651.29,  5088166.60,      52.042802,       -0.138033,  104500.87,  133327.77,   10329.84,            12839.80,   -33.08,  65184.07,           64598.31,     78.84,    -46.89,         141.90,  +2.77,  +2.15
  0,     UK003S,       0,  0.000000, 2459521.635332326870, 174.91113,  39.02552,               65.66507,  31.73334,        65.66795,       31.72972,    174.91113,     +39.02552,     174.91240,      +39.02127,   -89984.30,  4004717.36,  5091835.03,      51.991591,       -0.038461,  113680.71,  211116.53,       0.00,               20.78,  -234.23,      0.00,           66826.58,     15.89,     -2.53,          15.72,  +5.70,  +4.08
  1,     UK003S,       0,  0.040276, 2459521.635332792997, 175.64780,  39.14349,               65.10611,  31.39562,        65.09998,       31.40327,    175.64780,     +39.14349,     175.64537,      +39.15253,   -88412.01,  4002492.68,  5091024.28,      52.002904,       -0.060410,  111650.85,  209237.86,    2842.29,             2821.50,   -30.54,  70570.26,           66826.58,    -33.41,      5.31,          33.34,  +2.87,  +1.27
  2,     UK003S,       0,  0.080536, 2459521.635333259124, 176.36079,  39.25958,               64.56497,  31.07211,        64.55437,       31.08525,    176.36079,     +39.25958,     176.35681,      +39.27520,   -86917.64,  4000378.24,  5090253.71,      52.013659,       -0.081303,  109722.14,  207472.33,    5543.73,             5522.94,    74.90,  67099.85,           66826.58,    -57.12,      9.08,          57.50,  +2.19,  +0.61
  3,     UK003S,       0,  0.120796, 2459521.635333724786, 177.04343,  39.35440,               64.06203,  30.75307,        64.03927,       30.78108,    177.04343,     +39.35440,     177.03500,      +39.38786,   -85520.88,  3998401.93,  5089533.47,      52.023713,       -0.100862,  107919.89,  205840.06,    8068.70,             8047.91,     3.87,  62716.55,           66826.58,   -121.23,     19.22,         122.99,  +2.13,  +0.56
  4,     UK003S,       0,  0.161044, 2459521.635334190913, 177.75121,  39.47202,               63.52548,  30.43755,        63.50570,       30.46174,    177.75121,     +39.47202,     177.74443,      +39.50106,   -84087.63,  3996373.97,  5088794.41,      52.034033,       -0.120948,  106071.03,  204184.42,   10659.65,            10638.87,    -0.40,  64374.76,           65934.55,   -104.18,     16.53,         106.56,  +3.47,  +1.92
  0,     UK003X,       0,  0.006797, 2459521.635332407430, 165.47070,  33.54869,               76.80112,  33.65352,        76.81287,       33.63746,    165.47070,     +33.54869,     165.47660,      +33.53053,   -89263.74,  4003697.81,  5091463.47,      51.996775,       -0.048469,  112750.38,  199471.38,       0.00,             1281.81,   588.51,      0.00,           59598.93,     65.31,     -4.69,          67.71,  +4.82,  +3.32
  1,     UK003X,       0,  0.047117, 2459521.635332874022, 165.94266,  33.55564,               76.46957,  33.37363,        76.42071,       33.43984,    165.94266,     +33.55564,     165.91915,      +33.63085,   -88123.96,  4002085.10,  5090875.75,      52.004977,       -0.064433,  111279.04,  197884.80,    2060.42,             3342.23,    49.07,  51101.70,           59598.93,   -267.93,     18.56,         279.94,  +4.42,  +2.94
  2,     UK003X,       0,  0.087437, 2459521.635333340615, 166.48663,  33.71806,               75.95501,  33.15827,        75.93159,       33.18980,    166.48663,     +33.71806,     166.47585,      +33.75401,   -86719.75,  4000098.25,  5090151.67,      52.015083,       -0.084078,  109466.78,  195944.65,    4598.86,             5880.66,   -12.36,  62957.27,           59598.93,   -126.66,      8.92,         133.66,  +1.96,  +0.50
  3,     UK003X,       0,  0.127797, 2459521.635333807673, 167.06502,  33.83327,               75.45942,  32.89040,        75.42991,       32.92983,    167.06502,     +33.83327,     167.05186,      +33.87843,   -85299.52,  3998088.72,  5089419.33,      52.025307,       -0.103967,  107634.31,  193996.68,    7166.27,             8448.07,   -47.40,  63612.69,           59598.93,   -157.26,     11.05,         167.62,  +1.72,  +0.28
  4,     UK003X,       0,  0.168097, 2459521.635334274266, 167.56880,  33.95794,               75.00832,  32.67460,        74.98983,       32.69917,    167.56880,     +33.95794,     167.56110,      +33.98617,   -84070.23,  3996349.35,  5088785.44,      52.034159,       -0.121220,  106048.58,  192321.19,    9388.52,            10670.32,  -423.73,  55142.67,           59221.87,    -97.37,      6.89,         104.70,  +4.52,  +3.10
  0,     UK004P,       0,  0.045748, 2459521.635332840495, 301.38438,  75.07592,              350.73428,  37.37002,       350.68805,       37.38874,    301.38438,     +75.07592,     301.54435,      +75.07853,   -88009.94,  4001923.78,  5090816.95,      52.005797,       -0.066001,  111131.87,  180313.42,       0.00,             3548.34,   343.45,      0.00,           58529.22,    -64.47,    112.60,         148.42,  +4.26,  +2.98
  1,     UK004P,       0,  0.086240, 2459521.635333309416, 301.68331,  74.36484,              350.29105,  36.74815,       350.27999,       36.75261,    301.68331,     +74.36484,     301.72044,      +74.36543,   -86769.29,  4000168.34,  5090177.21,      52.014726,       -0.083380,  109530.70,  180263.15,    2242.77,             5791.12,   -24.73,  55388.09,           58529.22,    -15.50,     27.12,          35.74,  +1.90,  +0.62
  2,     UK004P,       0,  0.126812, 2459521.635333778802, 302.08628,  73.52395,              349.74994,  36.02031,       349.80628,       35.99765,    302.08628,     +73.52395,     301.90760,      +73.52118,   -85300.77,  3998090.49,  5089419.97,      52.025298,       -0.103939,  107635.93,  180239.58,    4897.47,             8445.81,    13.84,  65431.65,           58529.22,     79.32,   -139.10,         183.25,  +2.19,  +0.91
  3,     UK004P,       0,  0.167316, 2459521.635334247723, 302.08156,  72.84562,              349.42123,  35.39670,       349.43279,       35.39206,    302.08156,     +72.84562,     302.04668,      +72.84506,   -84125.63,  3996427.74,  5088814.01,      52.033760,       -0.120440,  106120.04,  180249.35,    7021.82,            10570.17,  -473.53,  52448.09,           58529.22,     16.39,    -28.70,          37.83,  +5.32,  +4.04

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.