Orbital Analysis for matched events on 20210929_034936.222_UK

Summary for Event
-----------------
shower ID 556 PTA
Lg 56.31° Bg 8.06° Vg 56.19km/s
mass 0.01964g, abs. mag -0.9
Path Details
------------
start -0.90° 53.40° 96.80km
end   -0.87° 53.43° 88.11km

Orbit Details
-------------
Semimajor axis 3.65A.U., eccentricity 0.96, inclination 149.04°, Period 6.97Y, LA Sun 185.93°, last Perihelion 2014-11-12

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: 2459486.659447020851
Time: 2021-09-29 03:49:36.222602 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003G and UK003R
 Convergence angle = 8.48193 deg
 R.A. =  56.45067  Dec = +44.25959 deg
Intersection 2 - Stations: UK003G and UK003X
 Convergence angle = 11.53744 deg
 R.A. =  53.49364  Dec = +30.15725 deg
Intersection 3 - Stations: UK003R and UK003X
 Convergence angle = 3.91625 deg
 R.A. =  42.91218  Dec =  -0.45096 deg

Best intersection: Stations UK003G and UK003X with Qconv = 11.54 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1657196.69 +/- 158.20 m
 Y =   3496039.65 +/- 104.75 m
 Z =   5174783.67 +/- 299.38 m
 Vx =    31080.50 +/- 1549.64 m/s
 Vy =    40209.03 +/- 1061.59 m/s
 Vz =    26428.71 +/- 2589.06 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.667221e+04, +1.693900e+04, -4.788543e+04, +2.184254e+05, +1.389506e+05, -4.005657e+05
+1.693900e+04, +1.166394e+04, -2.960981e+04, +1.348342e+05, +8.905114e+04, -2.516077e+05
-4.788543e+04, -2.960981e+04, +9.573200e+04, -3.808491e+05, -2.442522e+05, +7.054335e+05
+2.184254e+05, +1.348342e+05, -3.808491e+05, +2.207841e+06, +1.356279e+06, -3.939513e+06
+1.389506e+05, +8.905114e+04, -2.442522e+05, +1.356279e+06, +8.661111e+05, -2.466529e+06
-4.005657e+05, -2.516077e+05, +7.054335e+05, -3.939513e+06, -2.466529e+06, +7.099874e+06

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK003B: 0.000000 s
    UK003G: 0.000141 s
    UK003R: 0.000208 s
    UK003X: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 03:49:36.222602 UTC
  Lon     = +-0.895235 +/- 0.0015 deg
  Lat     = +53.398005 +/- 0.0027 deg
  Lat geo = +53.216374 +/- 0.0027 deg
  Ht      =   96746.62 +/- 156.50 m

  JD dynamic   = 2459486.660247761756 
  LST apparent = 64.6380593722 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  52.29694 +/- 0.7645 deg
  Dec       = +27.47607 +/- 3.0160 deg
  Azimuth   = 204.26328 +/- 1.0471 deg
  Elevation = +62.51934 +/- 3.0593 deg
  Vavg      =  55.78019 +/- 0.1093 km/s
  Vinit     =  57.28211 +/- 0.1359 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  52.60803 +/- 0.7645 deg
  Dec       = +27.50358 +/- 3.0160 deg
  Azimuth   = 203.70332 +/- 1.0471 deg
  Elevation = +62.62119 +/- 3.0593 deg
  Vavg      =  55.72737 +/- 0.1093 km/s
  Vinit     =  57.22928 +/- 0.1359 km/s
Radiant (geocentric, J2000):
  R.A.   =  51.88565 +/- 0.7605 deg
  Dec    = +27.14540 +/- 3.0482 deg
  Vg     =  56.19484 +/- 0.1385 km/s
  Vinf   =  57.28211 +/- 0.1359 km/s
  Zc     =  27.31517 +/- 3.0581 deg
  Zg     =  27.58196 +/- 3.0891 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  56.30862 +/- 1.3931 deg
  Bg     =  +8.05557 +/- 2.8043 deg
  Vh     =  39.08974 +/- 0.2624 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  25.98559 +/- 1.3860 deg
  Bh     = +11.62537 +/- 4.3487 deg
  Vh_x   = -34.41712 +/- 1.4146 km/s
  Vh_y   = -16.77564 +/- 0.2357 km/s
  Vh_z   =  -7.87704 +/- 2.6986 km/s
Orbit:
  La Sun = 185.932711 +/- nan deg
  a      =   3.649872 +/- 0.2270 AU
  e      =   0.962994 +/- 0.0188
  i      = 149.035345 +/- 5.3880 deg
  peri   = 319.781110 +/- 6.2321 deg
  node   = 185.933482 +/- 0.0002 deg
  Pi     = 145.714592 +/- 6.2319 deg
  q      =   0.135067 +/- 0.0488 AU
  f      = 220.217536 +/- 6.2322 deg
  M      = 355.167207 +/- 0.9253 deg
  Q      =   7.164678 +/- 0.4837 AU
  n      =   0.141347 +/- 0.0191 deg/day
  T      =   6.972960 +/- 0.6075 years
  Last perihelion JD = 2456973.933152 (2014-11-12 10:23:44.369730) +/- 223.0316 days
  Tj     =   1.038787 +/- 0.1105
Shower association:
  IAU No.  =  556
  IAU code =  PTA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.767800e-04, -9.641681e-04, -3.168428e+00, -5.405269e-08, +2.149190e-03, +1.877532e-03
q   , -9.641681e-04, +2.537985e-03, +6.812503e+00, +1.365740e-07, -5.659257e-03, -4.831602e-03
Tp  , -3.168428e+00, +6.812503e+00, +5.403068e+04, +5.109400e-04, -1.520345e+01, -1.573418e+01
node, -5.405269e-08, +1.365740e-07, +5.109400e-04, +8.028937e-12, -3.049763e-07, -2.735823e-07
peri, +2.149190e-03, -5.659257e-03, -1.520345e+01, -3.049763e-07, +1.262115e-02, +1.078362e-02
i   , +1.877532e-03, -4.831602e-03, -1.573418e+01, -2.735823e-07, +1.078362e-02, +9.476496e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK003X
  Avg. res. = 7.753e-06 s
  Stddev    = 2.78e-03 s

Begin point on the trajectory:
  Lon =    -0.895419 +/- 0.0015 deg
  Lat =    53.397762 +/- 0.0027 deg
  Ht  = 96802.40 +/- 146.33 m
End point on the trajectory:
  Lon =    -0.868536 +/- 0.0012 deg
  Lat =    53.434282 +/- 0.0021 deg
  Ht  = 88112.01 +/- 99.16 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
    UK001L,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    94590.89,    88992.93,          0.134072,       nan,       nan,              83.18, 0.0000,    True,    True, {"ff_name": "FF_UK001L_20210929_034934_923_0828160.fits"}
    UK003B,    True,    -1.072290,    52.276980,  129.00,   0.000000,   0.000000,    97689.69,    88232.21,          0.025517,       nan,       nan,              74.97, 0.0000,    True,    True, {"ff_name": "FF_UK003B_20210929_034934_108_0851200.fits"}
    UK003G,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,    96303.04,    88112.01,          0.008192,     27.50,     24.41,              90.47, 0.9999,    True,    True, {"ff_name": "FF_UK003G_20210929_034930_434_0847360.fits"}
    UK003R,   False,    -2.379340,    51.361330,  169.00,   0.000000,   0.000000,    94674.30,    89215.42,          0.019517,     71.75,     56.66,              91.63, 0.9992,    True,    True, {"ff_name": "FF_UK003R_20210929_034929_699_0450816.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,  32.119460,   0.000000,    96802.40,    88253.59,          0.012834,     42.63,     31.90,              88.81, 0.9996,    True,    True, {"ff_name": "FF_UK003X_20210929_034925_832_0843008.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,     UK001L,       1,  0.027898, 2459486.659447343554, 224.24081,  64.96121,                9.41726,  27.85927,         9.29754,       27.84687,    224.24081,     +64.96121,     224.49090,      +64.97426,  1655879.71,  3494335.87,  5173663.80,      53.407046,       -0.888532,   94590.89,  197300.09,       0.00,             2427.21,   474.20,      0.00,           52570.55,   -250.33,   -268.36,         383.67,  +2.27,  +0.79
  1,     UK001L,       1,  0.068286, 2459486.659447811078, 224.31050,  64.45361,                9.52078,  27.35914,         9.36067,       27.34257,    224.31050,     +64.45361,     224.64047,      +64.47090,  1654929.85,  3493107.03,  5172856.11,      53.413570,       -0.883777,   93037.73,  197225.11,    1750.62,             4177.83,   -88.69,  43345.04,           52570.55,   -336.12,   -360.45,         515.43,  +0.13,  -1.34
  2,     UK001L,       1,  0.108830, 2459486.659448280465, 224.51055,  63.77660,                9.60401,  26.68056,         9.44591,       26.66420,    224.51055,     +63.77660,     224.83071,      +63.79334,  1653653.36,  3491455.62,  5171770.66,      53.422342,       -0.877324,   90950.71,  197149.35,    4103.23,             6530.44,   -58.52,  58026.07,           52570.55,   -333.75,   -357.89,         511.98,  +0.01,  -1.46
  3,     UK001L,       1,  0.149342, 2459486.659448749386, 224.69134,  63.14096,                9.68045,  26.04349,         9.52480,       26.02737,    224.69134,     +63.14096,     225.00159,      +63.15716,  1652455.83,  3489906.37,  5170752.37,      53.430576,       -0.871274,   88992.93,  197103.63,    6310.30,             8737.52,  -172.06,  54479.56,           52570.55,   -330.31,   -354.18,         506.81,  +0.65,  -0.82
  0,     UK003B,       1, -0.696805, 2459486.659438956063, 228.14543,  74.47447,                5.41876,  37.22453,         5.40992,       37.22345,    228.14543,     +74.47447,     228.16907,      +74.47493,  1657773.45,  3496785.81,  5175274.11,      53.394048,       -0.895308,   97689.69,  159224.62,       0.00,             1062.99, 40622.50,     -0.00,           53422.77,    -13.65,    -14.34,          25.64,  +4.52,  +3.51
  1,     UK003B,       1, -0.656041, 2459486.659439427778, 228.42473,  73.56069,                5.56771,  36.31532,         5.57710,       36.31647,    228.42473,     +73.56069,     228.39500,      +73.56022,  1656363.57,  3494961.84,  5174075.24,      53.403724,       -0.888181,   95384.47,  158704.38,    2598.45,             1535.45, 38759.91,  63743.64,           53422.77,     14.62,     15.35,          27.55,  +2.39,  +1.39
  2,     UK003B,       1, -0.615545, 2459486.659439896699, 228.61064,  72.97468,                5.65355,  35.73098,         5.68057,       35.73428,    228.61064,     +72.97468,     228.53246,      +72.97338,  1655463.32,  3493797.18,  5173309.73,      53.409905,       -0.883686,   93912.62,  158393.22,    4257.64,             3194.65, 38099.41,  40971.78,           53422.77,     42.28,     44.40,          79.84,  +0.45,  -0.55
  3,     UK003B,       1, -0.574817, 2459486.659440367948, 228.79953,  72.11187,                5.80082,  34.87470,         5.83219,       34.87853,    228.79953,     +72.11187,     228.71254,      +72.11042,  1654146.65,  3492093.79,  5172190.12,      53.418951,       -0.877028,   91760.11,  157968.78,    6684.29,             5621.30, 38193.08,  59581.99,           53422.77,     49.48,     51.96,          93.68,  +0.34,  -0.65
  4,     UK003B,       1, -0.534101, 2459486.659440839197, 228.98388,  71.27275,                5.93469,  34.04087,         5.97652,       34.04597,    228.98388,     +71.27275,     228.87269,      +71.27090,  1652872.38,  3490445.26,  5171106.57,      53.427711,       -0.870583,   89677.09,  157592.39,    9032.80,             7969.81, 38209.29,  57680.20,           54478.50,     66.46,     69.78,         126.12,  +0.44,  -0.55
  5,     UK003B,       1, -0.493601, 2459486.659441307653, 229.09507,  70.68842,                6.02948,  33.46075,         6.07387,       33.46616,    229.09507,     +70.68842,     228.97998,      +70.68651,  1651988.44,  3489301.71,  5170354.93,      53.433791,       -0.866159,   88232.21,  157351.00,   10661.92,             9598.93, 37518.48,  40225.15,           52752.00,     70.90,     74.43,         134.75,  +4.74,  +3.76
  0,     UK003G,       0,  0.002478, 2459486.659447047859, 217.33752,  57.46355,               14.83349,  20.94893,        14.82508,       20.94838,    217.33752,     +57.46355,     217.35178,      +57.46536,  1656926.82,  3495690.52,  5174554.19,      53.399858,       -0.893848,   96303.04,  256590.18,       0.00,              497.37,     0.51,      0.00,           58398.39,    -23.42,    -26.38,          28.36,  +2.19,  +0.14
  1,     UK003G,       0,  0.042970, 2459486.659447516315, 217.56553,  56.95994,               14.86652,  20.43133,        14.86132,       20.43099,    217.56553,     +56.95994,     217.57445,      +56.96105,  1655661.73,  3494053.86,  5173478.44,      53.408543,       -0.887464,   94234.40,  256765.75,    2331.60,             2828.97,    12.64,  57581.64,           58398.39,    -14.54,    -16.39,          17.60,  +1.22,  -0.83
  2,     UK003G,       0,  0.083454, 2459486.659447984770, 217.79677,  56.46374,               14.89168,  19.91970,        14.89684,       19.92004,    217.79677,     +56.46374,     217.78854,      +56.46266,  1654410.59,  3492435.26,  5172414.57,      53.417137,       -0.881147,   92188.75,  256960.00,    4637.46,             5134.84,    -0.51,  56957.46,           58398.39,     14.48,     16.31,          17.50,  +0.41,  -1.64
  3,     UK003G,       0,  0.123974, 2459486.659448454157, 218.00282,  55.92661,               14.93995,  19.37235,        14.93487,       19.37202,    218.00282,     +55.92661,     218.01170,      +55.92766,  1653066.54,  3490696.45,  5171271.67,      53.426376,       -0.874340,   89991.36,  257191.72,    7114.59,             7611.97,   155.55,  61133.53,           58398.39,    -14.31,    -16.12,          17.29,  +0.70,  -1.35
  4,     UK003G,       0,  0.164418, 2459486.659448922146, 218.22184,  55.47379,               14.95176,  18.90315,        14.96678,       18.90414,    218.22184,     +55.47379,     218.19800,      +55.47070,  1651916.94,  3489209.21,  5170294.14,      53.434282,       -0.868536,   88112.01,  257408.20,    9233.32,             9730.69,   -42.44,  52386.70,           57423.26,     42.49,     47.85,          51.28,  +4.42,  +2.37
  0,     UK003R,       0,  0.025251, 2459486.659447310492, 204.43675,  53.22140,               23.40915,  19.50770,        23.44412,       19.50761,    204.43675,     +53.22140,     204.38682,      +53.20766,  1655930.71,  3494401.85,  5173707.17,      53.406696,       -0.888784,   94674.30,  268218.26,       0.00,             2333.22,   531.82,      0.00,           51596.60,     95.64,    121.08,         118.66,  +5.38,  +3.24
  1,     UK003R,       0,  0.065539, 2459486.659447776619, 204.63666,  52.88088,               23.44220,  19.14794,        23.44070,       19.14794,    204.63666,     +52.88088,     204.63907,      +52.88146,  1655011.02,  3493212.03,  5172925.12,      53.413012,       -0.884185,   93170.44,  268388.70,    1695.03,             4028.25,   -80.93,  42072.77,           51596.60,     -4.12,     -5.22,           5.11,  +1.81,  -0.33
  2,     UK003R,       0,  0.105947, 2459486.659448244609, 204.96783,  52.42237,               23.44693,  18.64737,        23.43687,       18.64740,    204.96783,     +52.42237,     204.98253,      +52.42628,  1653729.40,  3491553.99,  5171835.32,      53.421819,       -0.877706,   91075.03,  268645.58,    4057.08,             6390.30,   -33.54,  58455.11,           51596.60,    -27.69,    -35.08,          34.32,  +1.25,  -0.90
  3,     UK003R,       0,  0.146307, 2459486.659448711667, 205.25309,  52.01482,               23.45278,  18.20397,        23.43325,       18.20402,    205.25309,     +52.01482,     205.28126,      +52.02236,  1652591.93,  3490082.45,  5170868.10,      53.429640,       -0.871968,   89215.42,  268890.22,    6153.45,             8486.67,  -249.07,  51941.78,           51596.60,    -53.96,    -68.36,          66.80,  +2.41,  +0.26
  0,     UK003X,       0,  0.000000, 2459486.659447020851, 196.94386,  54.66303,               26.99892,  23.07804,        26.99147,       23.07826,    196.94386,     +54.66303,     196.95404,      +54.66656,  1657232.22,  3496085.61,  5174813.88,      53.397762,       -0.895419,   96802.40,  237231.92,       0.00,               65.48,  -289.46,      0.00,           61602.70,    -17.02,    -22.75,          24.70,  +5.13,  +3.25
  1,     UK003X,       0,  0.040564, 2459486.659447490238, 197.53532,  54.10490,               26.96425,  22.42297,        26.96660,       22.42291,    197.53532,     +54.10490,     197.53230,      +54.10380,  1655755.90,  3494175.70,  5173558.52,      53.407896,       -0.887943,   94388.39,  237357.16,    2720.89,             2655.40,   -23.14,  67076.35,           61602.70,      5.39,      7.19,           7.81,  +1.57,  -0.31
  2,     UK003X,       0,  0.081060, 2459486.659447959159, 198.05590,  53.60634,               26.92919,  21.83835,        26.94432,       21.83791,    198.05590,     +53.60634,     198.03574,      +53.59931,  1654436.49,  3492468.77,  5172436.59,      53.416959,       -0.881272,   92231.11,  237494.84,    5152.58,             5087.10,    88.87,  60047.89,           61602.70,     34.91,     46.62,          50.58,  +0.58,  -1.30
  3,     UK003X,       0,  0.121544, 2459486.659448427614, 198.52245,  53.11314,               26.91445,  21.27215,        26.92286,       21.27191,    198.52245,     +53.11314,     198.51161,      +53.10927,  1653158.32,  3490815.18,  5171349.71,      53.425745,       -0.874807,   90141.41,  237651.68,    7508.30,             7442.81,   125.57,  58188.76,           61602.70,     19.50,     26.04,          28.24,  +0.66,  -1.22
  4,     UK003X,       0,  0.161980, 2459486.659448895603, 198.89881,  52.65460,               26.92760,  20.76060,        26.90340,       20.76130,    198.89881,     +52.65460,     198.93203,      +52.66569,  1652003.56,  3489321.26,  5170367.79,      53.433687,       -0.868977,   88253.59,  237812.84,    9636.55,             9571.06,   -62.44,  52632.54,           59418.96,    -56.32,    -75.26,          81.53,  +2.68,  +0.80

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.