Orbital Analysis for matched events on 20210929_234928.952_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 49.53° Bg 16.38° Vg 55.63km/s
mass 0.01783g, abs. mag -0.6
Path Details
------------
start 0.18° 49.74° 99.55km
end   0.09° 49.76° 87.71km

Orbit Details
-------------
Semimajor axis -9.86A.U., eccentricity 1.02, inclination 112.54°, Period 1000000000.00Y, LA Sun 186.75°, 

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: 2459487.492696208414
Time: 2021-09-29 23:49:28.952407 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002D and UK002N
 Convergence angle = 21.67209 deg
 R.A. =  42.88357  Dec = +35.17103 deg
Intersection 2 - Stations: UK002D and UK003N
 Convergence angle = 34.93533 deg
 R.A. =  42.79309  Dec = +33.90686 deg
Intersection 3 - Stations: UK002N and UK003N
 Convergence angle = 13.27613 deg
 R.A. =  41.30038  Dec = +32.29911 deg

Best intersection: Stations UK002D and UK003N with Qconv = 34.94 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4167647.74 +/- 182.39 m
 Y =    475548.70 +/- 113.72 m
 Z =   4919974.12 +/- 44.75 m
 Vx =    35173.78 +/- 1059.50 m/s
 Vy =    31557.23 +/- 715.54 m/s
 Vz =    31386.66 +/- 1162.59 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.705710e+04, +1.597230e+04, -6.078152e+03, +1.009213e+05, +6.770910e+04, -2.667020e+04
+1.597230e+04, +1.052248e+04, -3.500612e+03, +5.357610e+04, +4.387400e+04, -1.752787e+04
-6.078152e+03, -3.500612e+03, +2.320993e+03, -2.778468e+04, -2.084262e+04, +7.122072e+03
+1.009213e+05, +5.357610e+04, -2.778468e+04, +6.138234e+05, +3.341817e+05, -1.392698e+05
+6.770910e+04, +4.387400e+04, -2.084262e+04, +3.341817e+05, +2.678088e+05, -1.066899e+05
-2.667020e+04, -1.752787e+04, +7.122072e+03, -1.392698e+05, -1.066899e+05, +4.788949e+04

Timing offsets (from input data):
    UK002D: 0.000227 s
    UK002N: 0.000000 s
    UK003N: -0.000067 s

Reference point on the trajectory:
  Time: 2021-09-29 23:49:28.952407 UTC
  Lon     = ++0.185268 +/- 0.0013 deg
  Lat     = +49.736597 +/- 0.0015 deg
  Lat geo = +49.549621 +/- 0.0015 deg
  Ht      =   99640.75 +/- 104.74 m

  JD dynamic   = 2459487.493496949319 
  LST apparent = 6.5095708025 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  41.89784 +/- 0.4367 deg
  Dec       = +33.59191 +/- 0.8870 deg
  Azimuth   = 108.41627 +/- 1.6978 deg
  Elevation = +59.43997 +/- 0.4469 deg
  Vavg      =  54.48874 +/- 0.7160 km/s
  Vinit     =  56.72897 +/- 0.8084 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  42.19906 +/- 0.4367 deg
  Dec       = +33.49282 +/- 0.8870 deg
  Azimuth   = 108.22623 +/- 1.6978 deg
  Elevation = +59.18808 +/- 0.4469 deg
  Vavg      =  54.63693 +/- 0.7160 km/s
  Vinit     =  56.87716 +/- 0.8084 km/s
Radiant (geocentric, J2000):
  R.A.   =  41.83642 +/- 0.4467 deg
  Dec    = +33.29651 +/- 0.8897 deg
  Vg     =  55.63162 +/- 0.8254 km/s
  Vinf   =  56.72897 +/- 0.8084 km/s
  Zc     =  30.50143 +/- 0.4428 deg
  Zg     =  30.80656 +/- 0.4400 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  49.52817 +/- 0.5936 deg
  Bg     = +16.37526 +/- 0.7782 deg
  Vh     =  43.14420 +/- 0.8493 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  16.07566 +/- 0.3883 deg
  Bh     = +21.31998 +/- 1.1685 deg
  Vh_x   = -38.61999 +/- 1.0209 km/s
  Vh_y   = -11.12931 +/- 0.4940 km/s
  Vh_z   = -15.68620 +/- 0.4541 km/s
Orbit:
  La Sun = 186.751170 +/- nan deg
  a      =  -9.859974 +/- 14.1114 AU
  e      =   1.016405 +/- 0.0144
  i      = 112.544958 +/- 1.6754 deg
  peri   = 311.563693 +/- 0.4648 deg
  node   = 186.751467 +/- 0.0000 deg
  Pi     = 138.315160 +/- 0.4648 deg
  q      =   0.161756 +/- 0.0073 AU
  f      = 228.435215 +/- 0.4648 deg
  M      =        nan +/- nan deg
  Q      = -19.881703 +/- 28.2243 AU
  n      =   0.031834 +/- 0.0298 deg/day
  T      = 1000000000.000000 +/- 249443811.1042 years
  Last perihelion JD = NaN 
  Tj     =  -0.719786 +/- 0.4205
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.269004e-04, -6.225876e-05, -2.887044e+02, -3.925730e-09, +2.201783e-05, +1.993686e-04
q   , -6.225876e-05, +4.021165e-05, +1.411850e+02, +2.769878e-09, -3.676177e-05, -1.408246e-04
Tp  , -2.887044e+02, +1.411850e+02, +1.773850e+09, +1.452214e-02, -5.053624e+01, -7.324846e+02
node, -3.925730e-09, +2.769878e-09, +1.452214e-02, +2.294417e-13, -2.960011e-09, -1.163196e-08
peri, +2.201783e-05, -3.676177e-05, -5.053624e+01, -2.960011e-09, +7.354275e-05, +1.507273e-04
i   , +1.993686e-04, -1.408246e-04, -7.324846e+02, -1.163196e-08, +1.507273e-04, +5.897502e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000087
 a2 = 61.455874

Mean time residuals from time vs. length:
  Station with reference time: UK002N
  Avg. res. = 2.572e-06 s
  Stddev    = 1.60e-03 s

Begin point on the trajectory:
  Lon =     0.184578 +/- 0.0012 deg
  Lat =    49.736746 +/- 0.0015 deg
  Ht  = 99550.53 +/- 90.84 m
End point on the trajectory:
  Lon =     0.092640 +/- 0.0007 deg
  Lat =    49.756312 +/- 0.0011 deg
  Ht  = 87705.20 +/- 53.76 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
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,    99018.37,    87734.88,          0.016433,     60.59,     35.54,              44.18, 0.4856,    True,    True, {"ff_name": "FF_UK002D_20210929_234920_098_0490496.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,    99550.53,    88115.16,          0.017465,     59.87,     15.77,              47.60, 0.5452,    True,    True, {"ff_name": "FF_UK002N_20210929_234923_363_0497152.fits"}
    UK003N,   False,    -0.162561,    51.236425,  111.00,   0.000002,  77.594228,    99053.28,    87705.20,          0.023113,     77.21,      6.81,              52.28, 0.6257,    True,    True, {"ff_name": "FF_UK003N_20210929_234928_304_0501248.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,     UK002D,       0,  0.005993, 2459487.492696275935,  40.48530,  -8.89034,              141.17783,  22.25475,       141.18815,       22.25922,     40.48530,      -8.89034,      40.47463,       -8.89002,  4167199.59,   475146.63,  4919574.21,      49.737625,       +0.180481,   99018.37,  250134.10,       0.00,              722.79,   378.95,      0.00,           56395.22,    -23.32,    -39.73,          37.99,  +5.32,  +3.33
  1,     UK002D,       0,  0.046213, 2459487.492696741596,  40.48864,  -9.14525,              141.28352,  22.01937,       141.30697,       22.02952,     40.48864,      -9.14525,      40.46453,       -9.14452,  4166185.40,   474236.71,  4918669.22,      49.739951,       +0.169529,   97609.95,  248923.86,    1635.71,             2358.50,  -266.98,  40669.10,           56395.22,    -52.77,    -89.87,          86.36,  +3.45,  +1.47
  2,     UK002D,       0,  0.086609, 2459487.492697209120,  40.46221,  -9.60081,              141.50314,  21.61115,       141.51704,       21.61716,     40.46221,      -9.60081,      40.44810,       -9.60038,  4164392.26,   472627.95,  4917069.14,      49.744063,       +0.150281,   95120.06,  246801.47,    4527.72,             5250.51,   333.40,  71591.47,           56395.22,    -31.08,    -52.95,          51.32,  +2.49,  +0.53
  3,     UK002D,       0,  0.126893, 2459487.492697675247,  40.42655,  -9.93376,              141.67871,  21.31892,       141.67068,       21.31545,     40.42655,      -9.93376,      40.43542,       -9.93402,  4163099.35,   471467.97,  4915915.44,      49.747028,       +0.136345,   93324.95,  245279.12,    6612.95,             7335.74,   133.37,  51763.33,           56395.22,     17.86,     30.45,          29.69,  +2.63,  +0.68
  4,     UK002D,       0,  0.167181, 2459487.492698141374,  40.43708, -10.26418,              141.80766,  21.01099,       141.82195,       21.01717,     40.43708,     -10.26418,      40.42282,      -10.26373,  4161837.23,   470335.63,  4914789.22,      49.749922,       +0.122727,   91572.76,  243801.01,    8648.51,             9371.30,  -116.57,  50525.20,           55265.83,    -31.66,    -53.96,          52.93,  +2.44,  +0.50
  5,     UK002D,       0,  0.207509, 2459487.492698608432,  40.40525, -10.64433,              141.99786,  20.67350,       141.99552,       20.67248,     40.40525,     -10.64433,      40.40855,      -10.64441,  4160398.57,   469044.89,  4913505.45,      49.753222,       +0.107217,   89575.65,  242127.04,   10968.82,            11691.61,   -84.03,  57535.81,           55267.51,      5.16,      8.80,           8.69,  +1.78,  -0.14
  6,     UK002D,       0,  0.247813, 2459487.492699074559,  40.36686, -10.99918,              142.18294,  20.36158,       142.15713,       20.35041,     40.36686,     -10.99918,      40.39501,      -11.00002,  4159072.41,   467855.08,  4912322.07,      49.756263,       +0.092897,   87734.88,  240593.06,   13107.68,            13830.47,  -231.57,  53068.35,           55032.51,     56.58,     96.57,          95.95,  +2.04,  +0.13
  0,     UK002N,       0,  0.000000, 2459487.492696208414,  24.50400,  -8.84852,              158.79851,  27.70706,       158.78278,       27.69778,     24.50400,      -8.84852,      24.51985,       -8.85436,  4167582.78,   475490.42,  4919916.15,      49.736746,       +0.184578,   99550.53,  208394.75,       0.00,              104.77,   100.92,      0.00,           56310.04,     15.50,     58.87,          60.25,  +3.45,  +1.86
  1,     UK002N,       0,  0.040292, 2459487.492696675006,  24.34529,  -9.25229,              159.07430,  27.34960,       159.05571,       27.33865,     24.34529,      -9.25229,      24.36425,       -9.25921,  4166228.61,   474275.49,  4918707.78,      49.739852,       +0.170013,   97669.97,  206867.32,    2184.03,             2288.80,    -0.77,  54205.10,           56310.04,     18.21,     69.18,          71.33,  +1.84,  +0.26
  2,     UK002N,       0,  0.080624, 2459487.492697141599,  24.17734,  -9.71084,              159.37166,  26.94009,       159.36054,       26.93355,     24.17734,      -9.71084,      24.18893,       -9.71499,  4164727.19,   472928.44,  4917368.02,      49.743295,       +0.153870,   95585.11,  205188.22,    4605.56,             4710.32,   132.76,  60039.76,           56310.04,     10.83,     41.11,          42.74,  +1.32,  -0.24
  3,     UK002N,       0,  0.120924, 2459487.492697608192,  24.02542, -10.12511,              159.63823,  26.56948,       159.63436,       26.56721,     24.02542,     -10.12511,      24.02985,      -10.12656,  4163391.95,   471730.49,  4916176.54,      49.746357,       +0.139485,   93731.19,  203707.22,    6759.06,             6863.83,     0.09,  53436.92,           56310.04,      3.75,     14.24,          14.91,  +1.58,  +0.03
  4,     UK002N,       0,  0.161228, 2459487.492698074784,  23.83991, -10.55325,              159.94198,  26.19190,       159.92141,       26.17984,     23.83991,     -10.55325,      23.86157,      -10.56099,  4162002.91,   470484.27,  4914937.05,      49.749543,       +0.124517,   91802.76,  202179.66,    8999.34,             9104.10,   -46.04,  55584.40,           56002.05,     19.80,     75.27,          79.41,  +1.59,  +0.06
  5,     UK002N,       0,  0.201584, 2459487.492698541842,  23.69295, -11.03043,              160.21395,  25.75744,       160.22628,       25.76465,     23.69295,     -11.03043,      23.68114,      -11.02578,  4160539.23,   469171.09,  4913630.97,      49.752899,       +0.108742,   89770.91,  200584.83,   11359.98,            11464.75,    25.25,  58495.47,           56270.68,    -11.81,    -44.81,          47.65,  +1.25,  -0.26
  6,     UK002N,       0,  0.241864, 2459487.492699007969,  23.55416, -11.41891,              160.45383,  25.40724,       160.47740,       25.42101,     23.55416,     -11.41891,      23.53093,      -11.41001,  4159346.39,   468100.89,  4912566.56,      49.755635,       +0.095846,   88115.16,  199295.78,   13283.82,            13388.59,  -335.95,  47761.69,           55455.70,    -22.49,    -85.26,          91.26,  +1.52,  +0.02
  0,     UK003N,       0,  0.011976, 2459487.492696348112,  13.57867,  -8.93975,              171.57644,  29.48264,       171.55453,       29.46866,     13.57867,      -8.93975,      13.59924,       -8.95190,  4167224.73,   475169.18,  4919596.65,      49.737567,       +0.180722,   99053.28,  196525.96,       0.00,              682.25,    -0.99,      0.00,           57601.62,      7.08,     80.82,          85.15,  +3.82,  +2.35
  1,     UK003N,       0,  0.052436, 2459487.492696816102,  13.33881,  -9.42244,              171.89714,  29.02354,       171.91935,       29.03766,     13.33881,      -9.42244,      13.31812,       -9.41011,  4165760.87,   473855.84,  4918290.40,      49.740924,       +0.164987,   97020.44,  195025.70,    2360.94,             3043.19,    64.70,  58352.45,           57601.62,     -7.20,    -81.41,          86.44,  +2.97,  +1.52
  2,     UK003N,       0,  0.092844, 2459487.492697284091,  13.05971,  -9.83340,              172.25112,  28.63825,       172.25327,       28.63961,     13.05971,      -9.83340,      13.05805,       -9.83221,  4164431.31,   472662.99,  4917103.99,      49.743973,       +0.150669,   95174.28,  193677.93,    4505.27,             5187.52,   -83.27,  53067.07,           57601.62,     -0.69,     -7.82,           8.36,  +4.06,  +2.62
  3,     UK003N,       0,  0.133340, 2459487.492697752547,  12.72839, -10.33175,              172.66795,  28.16887,       172.65172,       28.15858,     12.72839,     -10.33175,      12.74427,      -10.34083,  4162852.42,   471246.43,  4915695.10,      49.747594,       +0.133686,   92982.14,  192096.64,    7051.74,             7733.99,   165.90,  62881.96,           57601.62,      5.16,     58.86,          63.44,  +2.82,  +1.40
  4,     UK003N,       0,  0.173764, 2459487.492698220536,  12.51716, -10.77935,              172.94270,  27.73925,       172.97800,       27.76155,     12.51716,     -10.77935,      12.48438,      -10.75957,  4161571.04,   470096.81,  4914551.69,      49.750533,       +0.119861,   91203.23,  190828.52,    9118.37,             9800.62,   -60.68,  51123.84,           56684.42,    -11.27,   -127.33,         138.17,  +2.30,  +0.90
  5,     UK003N,       0,  0.214232, 2459487.492698688991,  12.20986, -11.25372,              173.32261,  27.28927,       173.34847,       27.30558,     12.20986,     -11.25372,      12.18613,      -11.23916,  4160123.10,   468797.74,  4913259.64,      49.753854,       +0.104250,   89193.28,  189412.79,   11453.64,            12135.89,   -21.12,  57706.63,           56568.42,     -8.20,    -92.81,         101.46,  +1.36,  -0.03
  6,     UK003N,       0,  0.254576, 2459487.492699156050,  11.96371, -11.60101,              173.62132,  26.96042,       173.62542,       26.96300,     11.96371,     -11.60101,      11.96084,      -11.59869,  4159051.03,   467835.90,  4912303.00,      49.756312,       +0.092640,   87705.20,  188376.14,   13182.70,            13864.95,  -580.74,  42857.75,           55062.12,     -1.29,    -14.65,          16.10,  +4.52,  +3.14

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.