Orbital Analysis for matched events on 20210904_033651.077_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 38.07° Bg -22.80° Vg 57.41km/s
mass 0.03810g, abs. mag -1.3
Path Details
------------
start 0.05° 51.78° 102.86km
end   0.02° 51.93° 93.14km

Orbit Details
-------------
Semimajor axis 5.08A.U., eccentricity 0.92, inclination 123.29°, Period 11.45Y, LA Sun 161.54°, last Perihelion 2010-05-05

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: 2459461.650591179263
Time: 2021-09-04 03:36:51.077888 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK002C
 Convergence angle = 5.56592 deg
 R.A. =  43.63529  Dec =  -6.85553 deg
Intersection 2 - Stations: UK000S and UK002F
 Convergence angle = 3.97389 deg
 R.A. =  47.92950  Dec =  -2.06847 deg
Intersection 3 - Stations: UK002C and UK002F
 Convergence angle = 1.67674 deg
 R.A. =  31.83904  Dec = -17.01169 deg

Best intersection: Stations UK000S and UK002C with Qconv = 5.57 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3176824.86 +/- 33.47 m
 Y =   2459319.94 +/- 1039.16 m
 Z =   5068818.91 +/- 634.31 m
 Vx =    42340.78 +/- 2862.57 m/s
 Vy =    39735.24 +/- 4204.55 m/s
 Vz =    -6879.22 +/- 3663.80 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.687634e+03, -1.213520e+04, -7.390966e+03, +3.195471e+03, -8.627398e+03, -1.551807e+03
-1.213520e+04, +3.387798e+05, +2.050380e+05, -3.976270e+05, +1.098166e+06, +9.136317e+05
-7.390966e+03, +2.050380e+05, +1.242971e+05, -2.375803e+05, +6.585831e+05, +5.476398e+05
+3.195471e+03, -3.976270e+05, -2.375803e+05, +7.324096e+05, -1.800273e+06, -1.606762e+06
-8.627398e+03, +1.098166e+06, +6.585831e+05, -1.800273e+06, +4.724444e+06, +4.130476e+06
-1.551807e+03, +9.136317e+05, +5.476398e+05, -1.606762e+06, +4.130476e+06, +3.671743e+06

Timing offsets (from input data):
    UK000S: -0.005384 s
    UK002C: -0.003006 s
    UK002F: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-04 03:36:51.077888 UTC
  Lon     = ++0.049482 +/- 0.0117 deg
  Lat     = +51.784055 +/- 0.0010 deg
  Lat geo = +51.599833 +/- 0.0010 deg
  Ht      =  102850.06 +/- 892.28 m

  JD dynamic   = 2459461.651391920168 
  LST apparent = 37.7450306964 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  43.18173 +/- 4.1371 deg
  Dec       =  -6.75651 +/- 3.7590 deg
  Azimuth   = 173.67986 +/- 4.7714 deg
  Elevation = +31.27399 +/- 3.6343 deg
  Vavg      =  57.00727 +/- 0.6456 km/s
  Vinit     =  58.47182 +/- 0.9323 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  43.46937 +/- 4.1371 deg
  Dec       =  -6.75323 +/- 3.7590 deg
  Azimuth   = 173.34624 +/- 4.7714 deg
  Elevation = +31.25717 +/- 3.6343 deg
  Vavg      =  57.03556 +/- 0.6456 km/s
  Vinit     =  58.50012 +/- 0.9323 km/s
Radiant (geocentric, J2000):
  R.A.   =  42.95571 +/- 4.1638 deg
  Dec    =  -7.43277 +/- 3.8211 deg
  Vg     =  57.40821 +/- 0.9486 km/s
  Vinf   =  58.47182 +/- 0.9323 km/s
  Zc     =  58.54291 +/- 3.6334 deg
  Zg     =  59.13245 +/- 3.6887 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  38.07342 +/- 5.6363 deg
  Bg     = -22.79610 +/- 2.2337 deg
  Vh     =  39.80636 +/- 2.3189 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   7.80596 +/- 8.4510 deg
  Bh     = -33.96819 +/- 1.1860 deg
  Vh_x   = -32.70741 +/- 1.6852 km/s
  Vh_y   =  -4.48383 +/- 5.1536 km/s
  Vh_z   =  22.24111 +/- 1.8380 km/s
Orbit:
  La Sun = 161.543350 +/- 0.0000 deg
  a      =   5.078755 +/- 154.7840 AU
  e      =   0.916594 +/- 0.0929
  i      = 123.293901 +/- 9.7515 deg
  peri   = 102.286401 +/- 3.8654 deg
  node   = 341.546534 +/- 0.0004 deg
  Pi     =  83.832934 +/- 3.8653 deg
  q      =   0.423598 +/- 0.0402 AU
  f      = 257.715910 +/- 3.8656 deg
  M      = 356.454272 +/- nan deg
  Q      =   9.733912 +/- 309.5688 AU
  n      =   0.086113 +/- 0.1073 deg/day
  T      =  11.445546 +/- 485214332.0186 years
  Last perihelion JD = 2455322.268144 (2010-05-05 18:26:07.642151) +/- 210686.0407 days
  Tj     =   0.591090 +/- 1.0577
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.154313e-03, -8.727661e-04, -2.932345e+03, -1.450366e-07, +1.070539e-03, -2.787821e-03
q   , -8.727661e-04, +1.163761e-03, +1.006689e+03, +1.583164e-07, -1.893494e-03, +2.731935e-03
Tp  , -2.932345e+03, +1.006689e+03, +2.869988e+10, +2.575802e-01, -1.699836e+02, +5.667326e+03
node, -1.450366e-07, +1.583164e-07, +2.575802e-01, +2.308896e-11, -2.393430e-07, +4.131844e-07
peri, +1.070539e-03, -1.893494e-03, -1.699836e+02, -2.393430e-07, +3.325692e-03, -3.928885e-03
i   , -2.787821e-03, +2.731935e-03, +5.667326e+03, +4.131844e-07, -3.928885e-03, +7.569611e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000098
 a2 = 46.755351

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 1.818e-06 s
  Stddev    = 1.35e-03 s

Begin point on the trajectory:
  Lon =     0.049495 +/- 0.0117 deg
  Lat =    51.783982 +/- 0.0010 deg
  Ht  = 102855.08 +/- 892.15 m
End point on the trajectory:
  Lon =     0.022538 +/- 0.0100 deg
  Lat =    51.925083 +/- 0.0030 deg
  Ht  = 93139.81 +/- 549.75 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.610891,  18.412021,    99580.72,    93513.49,          0.027123,     66.06,     65.48,             100.70, 0.9655,    True,    True, {"ff_name": "FF_UK000S_20210904_033647_142_0738560.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   101355.96,    93139.81,          0.010177,     20.84,     21.95,              85.93, 0.9950,    True,    True, {"ff_name": "FF_UK002C_20210904_033648_930_0739584.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.430869,  20.919583,   102855.08,    93318.37,          0.018886,     31.66,     32.80,              63.52, 0.8012,    True,    True, {"ff_name": "FF_UK002F_20210904_033648_580_0716544.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,     UK000S,       0,  0.109812, 2459461.650593722239, 137.07957,  48.37900,               48.74277,  29.90898,        48.75232,       29.90040,    137.07957,     +48.37900,     137.08049,      +48.36708,  3172261.57,  2455037.46,  5069560.32,      51.831429,       +0.040095,   99580.72,  195278.16,       0.00,             6301.82,    20.82,      0.00,           59313.05,     28.61,     28.87,          42.93,  +2.54,  +1.09
  1,     UK000S,       0,  0.150400, 2459461.650594192091, 138.10086,  48.36934,               48.20202,  29.41955,        48.19023,       29.43009,    138.10086,     +48.36934,     138.10111,      +48.38406,  3170572.12,  2453451.98,  5069834.81,      51.848980,       +0.036783,   98371.43,  195593.87,    2333.09,             8634.91,   -19.35,  57482.34,           59313.05,    -35.37,    -35.69,          52.99,  +1.95,  +0.49
  2,     UK000S,       0,  0.191044, 2459461.650594662409, 139.21931,  48.34958,               47.61448,  28.88162,        47.58045,       28.91188,    139.21931,     +48.34958,     139.22005,      +48.39205,  3168714.10,  2451708.30,  5070136.69,      51.868289,       +0.033154,   97042.18,  195973.37,    4898.99,            11200.80,   170.02,  63130.92,           59313.05,   -102.26,   -103.15,         152.88,  +1.57,  +0.11
  3,     UK000S,       0,  0.231596, 2459461.650595131796, 140.20641,  48.37733,               47.05764,  28.44327,        47.04718,       28.45252,    140.20641,     +48.37733,     140.20759,      +48.39036,  3167068.46,  2450163.92,  5070404.06,      51.885398,       +0.029916,   95865.47,  196336.03,    7171.58,            13473.40,    71.47,  56041.58,           59313.05,    -31.44,    -31.73,          46.93,  +1.11,  -0.36
  4,     UK000S,       0,  0.272076, 2459461.650595600717, 141.05750,  48.39409,               46.58192,  28.06358,        46.59124,       28.05538,    141.05750,     +48.39409,     141.05818,      +48.38248,  3165646.00,  2448829.00,  5070635.17,      51.900192,       +0.027092,   94848.78,  196669.13,    9135.98,            15437.79,  -331.08,  48527.50,           56962.85,     28.05,     28.31,          41.80,  +3.09,  +1.62
  5,     UK000S,       0,  0.312720, 2459461.650596071035, 142.16652,  48.31783,               46.03577,  27.50196,        46.00041,       27.53300,    142.16652,     +48.31783,     142.17033,      +48.36192,  3163776.82,  2447074.84,  5070938.86,      51.919638,       +0.023430,   93513.49,  197138.15,   11717.28,            18019.10,  -126.30,  63510.05,           57226.98,   -106.88,   -107.82,         158.85,  +2.59,  +1.12
  0,     UK002C,       0,  0.051627, 2459461.650592576247, 116.69669,  40.24064,               67.75746,  35.50136,        67.75911,       35.49931,    116.69669,     +40.24064,     116.69757,      +40.23828,  3174740.18,  2457363.54,  5069157.61,      51.805691,       +0.045112,  101355.96,  171722.66,       0.00,             2878.90,     0.07,      0.00,           58069.56,      5.33,      5.06,           8.83,  +2.85,  +1.68
  1,     UK002C,       0,  0.091819, 2459461.650593041442, 117.60325,  40.42403,               67.03356,  35.09866,        67.02688,       35.10685,    117.60325,     +40.42403,     117.59999,      +40.43353,  3173176.01,  2455895.62,  5069411.75,      51.821932,       +0.042040,  100235.51,  171426.71,    2160.09,             5039.00,  -189.94,  53744.33,           58069.56,    -21.37,    -20.28,          35.45,  +2.45,  +1.28
  2,     UK002C,       0,  0.132043, 2459461.650593507104, 118.72068,  40.66265,               66.13470,  34.61497,        66.13368,       34.61620,    118.72068,     +40.66265,     118.72052,      +40.66409,  3171253.38,  2454091.31,  5069724.12,      51.841902,       +0.038298,   98859.00,  171101.65,    4815.20,             7694.11,   113.20,  66008.14,           58069.56,     -3.22,     -3.06,           5.35,  +1.44,  +0.27
  3,     UK002C,       0,  0.172227, 2459461.650593972299, 119.60805,  40.83362,               65.44157,  34.22225,        65.43824,       34.22624,    119.60805,     +40.83362,     119.60700,      +40.83832,  3169746.13,  2452676.82,  5069969.01,      51.857563,       +0.035325,   97780.41,  170873.36,    6896.68,             9775.59,  -154.95,  51798.68,           58069.56,    -10.48,     -9.95,          17.44,  +1.17,  +0.01
  4,     UK002C,       0,  0.212439, 2459461.650594437495, 120.68144,  41.04316,               64.60469,  33.75332,        64.60762,       33.74985,    120.68144,     +41.04316,     120.68341,      +41.03904,  3167931.49,  2450973.84,  5070263.84,      51.876425,       +0.031776,   96482.50,  170633.64,    9402.67,            12281.57,    -0.23,  62319.35,           58557.60,      9.14,      8.68,          15.24,  +1.01,  -0.15
  5,     UK002C,       0,  0.252643, 2459461.650594902691, 121.65276,  41.21111,               63.87040,  33.31871,        63.87070,       33.31835,    121.65276,     +41.21111,     121.65372,      +41.21068,  3166308.86,  2449451.07,  5070527.47,      51.893297,       +0.028582,   95322.51,  170449.30,   11643.49,            14522.39,  -110.21,  55736.30,           58293.98,      0.94,      0.89,           1.57,  +0.93,  -0.23
  6,     UK002C,       0,  0.292855, 2459461.650595368352, 122.75892,  41.41693,               63.02492,  32.83832,        63.03988,       32.82098,    122.75892,     +41.41693,     122.76585,      +41.39598,  3164463.19,  2447718.97,  5070827.34,      51.912496,       +0.024967,   94003.75,  170276.48,   14192.33,            17071.23,    87.36,  63384.95,           58745.41,     46.15,     43.82,          77.09,  +1.47,  +0.31
  7,     UK002C,       0,  0.333035, 2459461.650595833082, 123.50193,  41.49802,               62.50938,  32.48018,        62.49891,       32.49223,    123.50193,     +41.49802,     123.49913,      +41.51266,  3163253.59,  2446583.80,  5071023.87,      51.925083,       +0.022538,   93139.81,  170180.82,   15862.77,            18741.67,  -591.60,  41574.00,           57503.47,    -32.18,    -30.55,          53.79,  +4.13,  +2.98
  0,     UK002F,       0,  0.000000, 2459461.650591179263,  89.55168,  31.95432,               96.18103,  46.91925,        96.19760,       46.87234,     89.55168,     +31.95432,      89.58194,      +31.91373,  3176831.86,  2459326.51,  5068817.77,      51.783982,       +0.049495,  102855.08,  139853.15,       0.00,                9.67,   149.56,      0.00,           58157.45,     84.75,     81.81,         173.73,  +3.48,  +2.75
  1,     UK002F,       0,  0.040364, 2459461.650591646321,  90.27481,  32.30279,               95.19563,  46.71499,        95.19899,       46.70594,     90.27481,     +32.30279,      90.28039,      +32.29490,  3175384.53,  2457968.24,  5069052.92,      51.799003,       +0.046643,  101817.68,  138818.14,    1998.73,             1989.07,  -231.20,  49517.74,           58157.45,     16.29,     15.72,          33.64,  +1.89,  +1.18
  2,     UK002F,       0,  0.080812, 2459461.650592114776,  91.19457,  32.79636,               93.90002,  46.48639,        93.90465,       46.47471,     91.19457,     +32.79636,      91.20200,      +32.78607,  3173526.57,  2456224.62,  5069354.79,      51.818292,       +0.043026,  100486.59,  137522.95,    4564.54,             4554.87,   -30.46,  63434.68,           58157.45,     20.91,     20.18,          43.59,  +0.90,  +0.21
  3,     UK002F,       0,  0.121256, 2459461.650592582766,  92.09450,  33.25137,               92.67398,  46.24035,        92.67428,       46.23963,     92.09450,     +33.25137,      92.09497,      +33.25072,  3171777.05,  2454582.75,  5069639.04,      51.836462,       +0.039606,   99233.84,  136335.83,    6980.60,             6970.93,    20.77,  59738.40,           58157.45,      1.29,      1.24,           2.71,  +0.75,  +0.08
  4,     UK002F,       0,  0.161688, 2459461.650593050756,  92.99376,  33.71547,               91.45051,  45.99800,        91.45348,       45.99125,     92.99376,     +33.71547,      92.99828,      +33.70942,  3170055.35,  2452967.00,  5069918.77,      51.854350,       +0.036234,   98001.66,  135199.47,    9358.23,             9348.56,    34.27,  58805.74,           58621.11,     11.98,     11.56,          25.41,  +0.35,  -0.30
  5,     UK002F,       0,  0.202124, 2459461.650593518745,  93.88328,  34.13781,               90.29096,  45.73128,        90.28704,       45.73977,     93.88328,     +34.13781,      93.87817,      +34.14550,  3168421.95,  2451434.12,  5070184.15,      51.871326,       +0.033022,   96833.23,  134151.06,   11613.93,            11604.26,   -74.40,  55784.41,           58348.19,    -15.03,    -14.50,          32.11,  +0.16,  -0.48
  6,     UK002F,       0,  0.242568, 2459461.650593986735,  94.82217,  34.61913,               89.04122,  45.47127,        89.04819,       45.45684,     94.82217,     +34.61913,      94.83189,      +34.60592,  3166698.00,  2449816.26,  5070464.25,      51.889250,       +0.029639,   95600.65,  133077.55,   13994.67,            13985.00,   -58.50,  58864.95,           58306.13,     25.47,     24.58,          54.86,  +0.27,  -0.35
  7,     UK002F,       0,  0.283024, 2459461.650594455190,  95.75999,  35.05107,               87.85740,  45.17744,        87.86091,       45.17047,     95.75999,     +35.05107,      95.76509,      +35.04462,  3165054.73,  2448274.11,  5070731.23,      51.906342,       +0.026402,   94426.32,  132085.75,   16263.99,            16254.33,  -154.71,  56093.74,           58104.12,     12.27,     11.84,          26.63,  +0.75,  +0.15
  8,     UK002F,       0,  0.323448, 2459461.650594922714,  96.65807,  35.47139,               86.72789,  44.89927,        86.73535,       44.88504,     96.65807,     +35.47139,      96.66790,      +35.45808,  3163503.62,  2446818.45,  5070983.25,      51.922481,       +0.023334,   93318.37,  131178.30,   18406.05,            18396.39,  -376.31,  52989.80,           57669.00,     25.01,     24.14,          54.66,  +1.44,  +0.85

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.