Orbital Analysis for matched events on 20210929_032909.072_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 67.25° Bg 5.68° Vg 59.85km/s
mass 0.07846g, abs. mag -1.5
Path Details
------------
start -4.00° 50.40° 102.38km
end   -4.03° 50.45° 89.23km

Orbit Details
-------------
Semimajor axis 2.31A.U., eccentricity 0.86, inclination 165.25°, Period 3.51Y, LA Sun 185.92°, last Perihelion 2018-05-09

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: 2459486.645243892446
Time: 2021-09-29 03:29:09.072307 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK003E
 Convergence angle = 16.25212 deg
 R.A. =  64.85535  Dec = +27.38322 deg

Best intersection: Stations UK000H and UK003E with Qconv = 16.25 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2290328.75 +/- 165.43 m
 Y =   3447630.67 +/- 20.55 m
 Z =   4970164.26 +/- 25.65 m
 Vx =    23131.66 +/- 1008.57 m/s
 Vy =    48854.93 +/- 795.89 m/s
 Vz =    27982.86 +/- 396.52 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.997366e+04, +1.383054e+03, +3.525539e+03, +1.740519e+05, +1.887762e+04, +2.665883e+04
+1.383054e+03, +4.068949e+02, +2.596730e+02, +6.838846e+03, +4.174993e+02, +7.826848e+02
+3.525539e+03, +2.596730e+02, +7.191447e+02, +1.977782e+04, +1.205867e+03, +4.221134e+03
+1.740519e+05, +6.838846e+03, +1.977782e+04, +1.172909e+06, +1.222590e+05, +1.764499e+05
+1.887762e+04, +4.174993e+02, +1.205867e+03, +1.222590e+05, +1.723737e+04, +1.310098e+04
+2.665883e+04, +7.826848e+02, +4.221134e+03, +1.764499e+05, +1.310098e+04, +3.621942e+04

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK000T: 0.000000 s
    UK0024: 0.000000 s
    UK003E: -0.000005 s

Reference point on the trajectory:
  Time: 2021-09-29 03:29:09.072307 UTC
  Lon     = +-4.003037 +/- 0.0019 deg
  Lat     = +50.399283 +/- 0.0006 deg
  Lat geo = +50.213144 +/- 0.0006 deg
  Ht      =  102407.26 +/- 79.94 m

  JD dynamic   = 2459486.646044633351 
  LST apparent = 56.4031313859 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  64.66354 +/- 0.9114 deg
  Dec       = +27.36968 +/- 0.1446 deg
  Azimuth   = 161.62499 +/- 2.0124 deg
  Elevation = +66.12490 +/- 0.1136 deg
  Vavg      =  58.45538 +/- 0.5073 km/s
  Vinit     =  60.86804 +/- 0.5653 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  64.97989 +/- 0.9114 deg
  Dec       = +27.35057 +/- 0.1446 deg
  Azimuth   = 160.96142 +/- 2.0124 deg
  Elevation = +66.04163 +/- 0.1136 deg
  Vavg      =  58.49462 +/- 0.5073 km/s
  Vinit     =  60.90729 +/- 0.5653 km/s
Radiant (geocentric, J2000):
  R.A.   =  64.38119 +/- 0.9172 deg
  Dec    = +27.11970 +/- 0.1441 deg
  Vg     =  59.84704 +/- 0.5748 km/s
  Vinf   =  60.86804 +/- 0.5653 km/s
  Zc     =  23.69852 +/- 0.1144 deg
  Zg     =  23.90186 +/- 0.1172 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.24789 +/- 0.8274 deg
  Bg     =  +5.68288 +/- 0.1090 deg
  Vh     =  37.23689 +/- 0.8733 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  43.70171 +/- 0.8642 deg
  Bh     =  +9.16102 +/- 0.1658 deg
  Vh_x   = -26.57690 +/- 1.0253 km/s
  Vh_y   = -25.39896 +/- 0.1706 km/s
  Vh_z   =  -5.92847 +/- 0.1462 km/s
Orbit:
  La Sun = 185.918764 +/- nan deg
  a      =   2.307436 +/- 0.7726 AU
  e      =   0.856780 +/- 0.0254
  i      = 165.253365 +/- 0.3289 deg
  peri   = 296.887081 +/- 1.1067 deg
  node   = 185.918212 +/- 0.0001 deg
  Pi     = 122.805292 +/- 1.1066 deg
  q      =   0.330470 +/- 0.0023 AU
  f      = 243.110427 +/- 1.1067 deg
  M      = 348.193312 +/- 2.8119 deg
  Q      =   4.284401 +/- 1.5472 AU
  n      =   0.281197 +/- 0.0644 deg/day
  T      =   3.505057 +/- 2.1454 years
  Last perihelion JD = 2458248.389130 (2018-05-09 21:20:20.815668) +/- 784.5176 days
  Tj     =   1.591307 +/- 0.3951
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.164239e-04, -5.792469e-05, -2.087025e+01, +1.714967e-08, -5.398083e-04, -1.005382e-04
q   , -5.792469e-05, +5.663292e-06, +1.730320e+00, -1.125519e-09, +4.120612e-05, +6.614811e-06
Tp  , -2.087025e+01, +1.730320e+00, +6.663298e+05, -4.999569e-04, +1.548415e+01, +2.943428e+00
node, +1.714967e-08, -1.125519e-09, -4.999569e-04, +1.066458e-12, -1.360948e-08, -6.299656e-09
peri, -5.398083e-04, +4.120612e-05, +1.548415e+01, -1.360948e-08, +4.131600e-04, +7.972387e-05
i   , -1.005382e-04, +6.614811e-06, +2.943428e+00, -6.299656e-09, +7.972387e-05, +3.722771e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000001
 a2 = 80.754909

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 4.819e-06 s
  Stddev    = 2.20e-03 s

Begin point on the trajectory:
  Lon =    -4.003097 +/- 0.0018 deg
  Lat =    50.399398 +/- 0.0006 deg
  Ht  = 102376.20 +/- 81.51 m
End point on the trajectory:
  Lon =    -4.029611 +/- 0.0012 deg
  Lat =    50.448362 +/- 0.0004 deg
  Ht  = 89229.57 +/- 53.96 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.006190,  44.362848,   102376.20,    89473.30,          0.008319,     27.88,      2.47,              59.84, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210929_032907_650_0816640.fits"}
    UK000T,    True,    -3.557111,    51.483925,   37.50, 8551.366271,   1.690285,   113037.35,   101532.97,          0.522141,       nan,       nan,              31.62, 0.0000,    True,    True, {"ff_name": "FF_UK000T_20210929_032900_168_0790528.fits"}
    UK0024,    True,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   103387.11,    90108.99,          0.033000,       nan,       nan,              39.40, 0.0000,    True,    True, {"ff_name": "FF_UK0024_20210929_032906_895_0810496.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   102225.50,    89229.57,          0.008834,     30.84,     11.09,              55.93, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20210929_032901_707_0815616.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,     UK000H,       0,  0.000000, 2459486.645243892446,   0.91760,  13.74764,              252.91184,  30.78826,       252.92533,       30.79434,      0.91760,     +13.74764,       0.91214,      +13.75960,  2290315.84,  3447603.41,  4970148.64,      50.399398,       -4.003097,  102376.20,  195681.09,       0.00,               33.97,   322.58,      0.00,           58183.58,     -3.96,    -44.50,          47.09,  +2.30,  +0.84
  1,     UK000H,       0,  0.040240, 2459486.645244358107,   0.40343,  13.54715,              253.22175,  30.32069,       253.21505,       30.31767,      0.40343,     +13.54715,       0.40633,      +13.54119,  2289521.67,  3445926.09,  4969187.92,      50.406502,       -4.006958,  100465.28,  194673.65,    2089.76,             2123.73,   -36.99,  51932.42,           58183.58,      1.95,     22.07,          23.47,  +0.71,  -0.74
  2,     UK000H,       0,  0.080552, 2459486.645244824700, 359.79473,  13.27475,              253.56167,  29.73915,       253.56221,       29.73939,    359.79473,     +13.27475,     359.79484,      +13.27524,  2288569.83,  3443915.75,  4968036.45,      50.415022,       -4.011556,   98175.11,  193487.12,    4594.43,             4628.40,    13.96,  62132.04,           58183.58,     -0.16,     -1.80,           1.93,  +0.46,  -0.97
  3,     UK000H,       0,  0.120840, 2459486.645245290827, 359.20514,  13.02113,              253.89658,  29.18335,       253.89279,       29.18165,    359.20514,     +13.02113,     359.20722,      +13.01774,  2287664.09,  3442002.81,  4966940.76,      50.423135,       -4.015944,   95996.02,  192382.04,    6977.75,             7011.72,   -54.97,  59157.06,           58183.58,      1.10,     12.45,          13.40,  +0.52,  -0.90
  4,     UK000H,       0,  0.161160, 2459486.645245757885, 358.55404,  12.73980,              254.26367,  28.56798,       254.25427,       28.56377,    358.55404,     +12.73980,     358.55865,      +12.73136,  2286673.81,  3439911.29,  4965742.79,      50.432011,       -4.020732,   93613.65,  191199.60,    9583.56,             9617.53,    96.65,  64628.34,           59702.65,      2.73,     30.81,          33.37,  +0.37,  -1.04
  5,     UK000H,       0,  0.201444, 2459486.645246224012, 357.97989,  12.48866,              254.58364,  28.02243,       254.57046,       28.01654,    357.97989,     +12.48866,     357.98629,      +12.47680,  2285808.33,  3438083.36,  4964695.80,      50.439773,       -4.024941,   91531.66,  190190.68,   11860.96,            11894.93,   -77.96,  56533.61,           59683.76,      3.81,     43.13,          46.96,  +0.57,  -0.83
  6,     UK000H,       0,  0.241736, 2459486.645246690139, 357.41486,  12.22061,              254.88246,  27.46875,       254.88318,       27.46908,    357.41486,     +12.22061,     357.41556,      +12.22126,  2284952.62,  3436276.08,  4963660.64,      50.447453,       -4.029108,   89473.30,  189214.94,   14112.64,            14146.61,  -278.78,  55883.93,           59269.90,     -0.21,     -2.35,           2.57,  +1.56,  +0.18
  0,     UK000T,       1,  1.124973, 2459486.645256912801,  45.98731,   3.01702,              194.36867,  40.68588,       193.76309,       40.46431,     45.98731,      +3.01702,      46.41362,       +2.72831,  2294748.36,  3456965.04,  4975510.75,      50.359824,       -3.987248,  113037.35,  172090.31,       0.00,            11629.63, -56556.65,      0.00,           58843.66,   1170.39,    990.83,        1837.98,  +4.85,  +3.67
  1,     UK000T,       1,  1.165397, 2459486.645257380791,  45.77145,   2.72655,              194.58925,  40.36535,       193.96730,       40.13788,     45.77145,      +2.72655,      46.21082,       +2.42880,  2293941.38,  3455260.66,  4974534.53,      50.367019,       -3.991150,  111094.56,  170260.20,    2123.47,             9506.16, -61140.65,  52530.01,           58843.66,   1193.46,   1011.07,        1894.91,  +1.73,  +0.57
  2,     UK000T,       1,  1.205905, 2459486.645257849712,  45.53591,   2.37360,              194.82024,  39.97962,       194.20367,       39.75448,     45.53591,      +2.37360,      45.97354,       +2.07732,  2293016.00,  3453306.24,  4973415.08,      50.375276,       -3.995605,  108866.93,  168169.86,    4558.48,             7071.15, -66041.30,  60111.64,           58843.66,   1173.80,    994.12,        1886.62,  +0.82,  -0.31
  3,     UK000T,       1,  1.246473, 2459486.645258319099,  45.29650,   1.97986,              195.04518,  39.55257,       194.45670,       39.33828,     45.29650,      +1.97986,      45.71661,       +1.69619,  2292037.94,  3451240.54,  4972231.90,      50.384008,       -4.000309,  106512.64,  165970.67,    7132.12,             4497.51, -71084.23,  63440.22,           58843.66,   1111.25,    939.90,        1808.75,  +0.59,  -0.51
  4,     UK000T,       1,  1.287005, 2459486.645258788485,  45.01134,   1.61409,              195.33160,  39.14518,       194.70873,       38.91832,     45.01134,      +1.61409,      45.45773,       +1.31209,  2291077.84,  3449212.78,  4971070.45,      50.392586,       -4.004934,  104201.73,  163822.55,    9658.50,             1971.13, -76077.71,  62330.45,           60043.92,   1165.91,    987.58,        1923.79,  +0.58,  -0.49
  5,     UK000T,       1,  1.327665, 2459486.645259258803,  44.70445,   1.15754,              195.62280,  38.64398,       195.00347,       38.41882,     44.70445,      +1.15754,      45.15091,       +0.85576,  2289968.96,  3446870.78,  4969729.02,      50.402501,       -4.010257,  101532.97,  161354.94,   12576.37,              946.74, -79577.00,  71762.76,           62067.08,   1148.19,    972.31,        1923.30,  +0.22,  -0.82
  0,     UK0024,       1, -0.015330, 2459486.645243715029,  21.99601,  19.17455,              234.58689,  47.75196,       234.62883,       47.77316,     21.99601,     +19.17455,      21.98314,      +19.20768,  2290735.96,  3448490.71,  4970656.87,      50.395642,       -4.001081,  103387.11,  138608.60,       0.00,             1071.52,  2293.23,     -0.00,           60089.42,    -12.07,    -84.46,         126.97,  +1.92,  +1.21
  1,     UK0024,       1,  0.025210, 2459486.645244184416,  21.36179,  18.95065,              235.14926,  47.23709,       235.19646,       47.26081,     21.36179,     +18.95065,      21.34729,      +18.98804,  2289835.87,  3446589.69,  4969568.01,      50.403691,       -4.005434,  101221.30,  136805.25,    2368.47,             1296.95,    51.08,  58422.98,           60089.42,    -13.47,    -94.24,         143.53,  +0.65,  -0.03
  2,     UK0024,       1,  0.065778, 2459486.645244653802,  20.69145,  18.72005,              235.74076,  46.69601,       235.78344,       46.71734,     20.69145,     +18.72005,      20.67834,      +18.75398,  2288911.11,  3444636.55,  4968449.31,      50.411967,       -4.009906,   98996.23,  134970.50,    4801.87,             3730.35,    15.18,  59983.30,           60089.42,    -12.07,    -84.47,         130.40,  +0.27,  -0.38
  3,     UK0024,       1,  0.106386, 2459486.645245123655,  19.98797,  18.45756,              236.33676,  46.10899,       236.39362,       46.13726,     19.98797,     +18.45756,      19.97032,      +18.50293,  2287955.95,  3442619.23,  4967293.84,      50.420520,       -4.014524,   96698.19,  133095.43,    7315.24,             6243.72,    56.82,  61893.45,           60089.42,    -15.96,   -111.53,         174.60,  +0.44,  -0.18
  4,     UK0024,       1,  0.147014, 2459486.645245593973,  19.23848,  18.21519,              236.99244,  45.51233,       237.01957,       45.52575,     19.23848,     +18.21519,      19.23035,      +18.23692,  2286982.50,  3440563.27,  4966116.23,      50.429243,       -4.019232,   94356.28,  131206.34,    9876.75,             8805.24,   145.39,  63048.02,           60858.94,     -7.51,    -52.74,          83.75,  +0.27,  -0.32
  5,     UK0024,       1,  0.187638, 2459486.645246064290,  18.51562,  17.95338,              237.59397,  44.91137,       237.61933,       44.92385,     18.51562,     +17.95338,      18.50811,      +17.97378,  2286055.98,  3438606.43,  4964995.40,      50.437551,       -4.023726,   92127.42,  129430.18,   12314.77,            11243.25,   110.70,  60014.12,           60957.77,     -6.97,    -48.91,          78.73,  +0.76,  +0.20
  6,     UK0024,       1,  0.228214, 2459486.645246533677,  17.84131,  17.71712,              238.15411,  44.35552,       238.16598,       44.36134,     17.84131,     +17.71712,      17.83833,      +17.72671,  2285216.90,  3436834.24,  4963980.34,      50.445080,       -4.027816,   90108.99,  127841.16,   14522.73,            13451.21,  -151.12,  54415.35,           60292.40,     -3.23,    -22.73,          37.05,  +1.42,  +0.89
  0,     UK003E,       0,  0.005909, 2459486.645243960898,  10.80112,   3.17256,              236.52084,  27.52065,       236.50394,       27.51281,     10.80112,      +3.17256,      10.80985,       +3.15805,  2290253.22,  3447471.13,  4970072.88,      50.399959,       -4.003413,  102225.50,  214956.02,       0.00,              198.77,   127.71,      0.00,           60188.88,     21.48,     59.72,          60.90,  +0.73,  -0.93
  1,     UK003E,       0,  0.046369, 2459486.645244429354,  10.35096,   2.89093,              236.78657,  27.04566,       236.78090,       27.04303,     10.35096,      +2.89093,      10.35409,       +2.88605,  2289357.80,  3445579.98,  4968989.67,      50.407969,       -4.007746,  100070.99,  213681.86,    2356.18,             2554.95,    21.17,  58234.81,           60188.88,      7.20,     19.99,          20.51,  +0.14,  -1.51
  2,     UK003E,       0,  0.086829, 2459486.645244897343,   9.89481,   2.61700,              237.06058,  26.57363,       237.05620,       26.57160,      9.89481,      +2.61700,       9.89745,       +2.61322,  2288470.78,  3443706.56,  4967916.63,      50.415909,       -4.012044,   97936.81,  212437.97,    4690.25,             4889.02,  -107.48,  57688.41,           60188.88,      5.54,     15.39,          15.88,  +0.12,  -1.52
  3,     UK003E,       0,  0.127361, 2459486.645245366730,   9.37366,   2.29598,              237.36653,  26.02688,       237.37001,       26.02849,      9.37366,      +2.29598,       9.37237,       +2.29899,  2287462.40,  3441576.83,  4966696.77,      50.424942,       -4.016912,   95510.79,  211045.19,    7343.68,             7542.44,    78.84,  65464.87,           60188.88,     -4.39,    -12.19,          12.66,  +0.04,  -1.58
  4,     UK003E,       0,  0.167837, 2459486.645245835185,   8.89213,   2.02134,              237.65984,  25.53983,       237.65181,       25.53612,      8.89213,      +2.02134,       8.89703,       +2.01437,  2286560.80,  3439672.62,  4965606.09,      50.433024,       -4.021287,   93341.81,  209821.43,    9716.11,             9914.88,   -12.41,  58613.48,           60318.66,     10.09,     28.04,          29.30,  -0.11,  -1.72
  5,     UK003E,       0,  0.208357, 2459486.645246304106,   8.37100,   1.71250,              237.96807,  25.00227,       237.95714,       24.99723,      8.37100,      +1.71250,       8.37760,       +1.70298,  2285586.72,  3437615.32,  4964427.72,      50.441761,       -4.026005,   90998.59,  208520.85,   12279.29,            12478.06,    84.39,  63257.06,           60775.89,     13.69,     38.06,          40.01,  +0.12,  -1.48
  6,     UK003E,       0,  0.248765, 2459486.645246771630,   7.98100,   1.46312,              238.18647,  24.58410,       238.18887,       24.58521,      7.98100,      +1.46312,       7.98078,       +1.46521,  2284851.30,  3436062.09,  4963538.07,      50.448362,       -4.029611,   89229.57,  207556.71,   14214.46,            14413.22,  -440.00,  47890.62,           59561.50,     -3.00,     -8.33,           8.80,  +2.11,  +0.52

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.