Orbital Analysis for matched events on 20211103_050730.940_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 157.58° Bg 13.25° Vg 65.03km/s
mass 0.00527g, abs. mag 1.3
best visual mag 1.3
Path Details
------------
start -0.69° 51.21° 111.99km
end   -0.86° 51.25° 100.08km

Orbit Details
-------------
Semimajor axis 12.01A.U., eccentricity 0.96, inclination 150.58°, Period 41.64Y, LA Sun 220.70°, last Perihelion 2021-09-24

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: 2459521.713552555069
Time: 2021-11-03 05:07:30.940758 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002B
 Convergence angle = 80.79050 deg
 R.A. = 164.72254  Dec = +20.93712 deg

Best intersection: Stations UK000F and UK002B with Qconv = 80.79 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -1967007.17 +/- 34.16 m
 Y =   3567588.53 +/- 24.31 m
 Z =   5035608.19 +/- 39.78 m
 Vx =   -59310.77 +/- 226.05 m/s
 Vy =    16375.90 +/- 227.96 m/s
 Vz =    23779.11 +/- 236.48 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.593104e+02, -2.941791e+02, -7.655038e+02, -6.467912e+02, +9.860583e+01, -1.128817e+03
-2.941791e+02, +7.377579e+02, +2.541451e+02, -5.003856e+03, +4.804774e+03, +2.377250e+03
-7.655038e+02, +2.541451e+02, +1.110924e+03, +2.046157e+03, -9.218503e+02, +2.531115e+03
-6.467912e+02, -5.003856e+03, +2.046157e+03, +6.801950e+04, -5.893643e+04, -1.797171e+04
+9.860583e+01, +4.804774e+03, -9.218503e+02, -5.893643e+04, +5.274503e+04, +2.024002e+04
-1.128817e+03, +2.377250e+03, +2.531115e+03, -1.797171e+04, +2.024002e+04, +2.204082e+04

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK000F: 0.000143 s
    UK002B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 05:07:30.940758 UTC
  Lon     = +-0.691677 +/- 0.0004 deg
  Lat     = +51.211182 +/- 0.0002 deg
  Lat geo = +51.026380 +/- 0.0002 deg
  Ht      =  111969.96 +/- 45.43 m

  JD dynamic   = 2459521.714353295974 
  LST apparent = 118.8703574121 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 164.56500 +/- 0.1418 deg
  Dec       = +21.12971 +/- 0.1164 deg
  Azimuth   = 112.90308 +/- 0.1977 deg
  Elevation = +43.56102 +/- 0.1025 deg
  Vavg      =  64.07137 +/- 0.1261 km/s
  Vinit     =  65.96502 +/- 0.3090 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 164.75755 +/- 0.1418 deg
  Dec       = +21.06324 +/- 0.1164 deg
  Azimuth   = 112.76529 +/- 0.1977 deg
  Elevation = +43.39763 +/- 0.1025 deg
  Vavg      =  64.27004 +/- 0.1261 km/s
  Vinit     =  66.16369 +/- 0.3090 km/s
Radiant (geocentric, J2000):
  R.A.   = 164.50712 +/- 0.1448 deg
  Dec    = +20.97114 +/- 0.1164 deg
  Vg     =  65.02545 +/- 0.3134 km/s
  Vinf   =  65.96502 +/- 0.3090 km/s
  Zc     =  46.36730 +/- 0.1025 deg
  Zg     =  46.71931 +/- 0.1050 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 157.58279 +/- 0.1229 deg
  Bg     = +13.24759 +/- 0.1323 deg
  Vh     =  41.40741 +/- 0.2409 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 177.54686 +/- 0.3390 deg
  Bh     = +21.09225 +/- 0.2293 deg
  Vh_x   =  38.59779 +/- 0.2573 km/s
  Vh_y   =  -1.65359 +/- 0.2456 km/s
  Vh_z   = -14.90131 +/- 0.1167 km/s
Orbit:
  La Sun = 220.700200 +/- 0.0000 deg
  a      =  12.013155 +/- 135.4593 AU
  e      =   0.956561 +/- 0.0119
  i      = 150.580965 +/- 0.3944 deg
  peri   =  91.748307 +/- 1.1657 deg
  node   = 220.703729 +/- 0.0000 deg
  Pi     = 312.452035 +/- 1.1658 deg
  q      =   0.521836 +/- 0.0072 AU
  f      =  88.253404 +/- 1.1657 deg
  M      =   0.929672 +/- nan deg
  Q      =  23.504473 +/- 270.9156 AU
  n      =   0.023671 +/- 0.0061 deg/day
  T      =  41.637652 +/- nan years
  Last perihelion JD = 2459482.439814 (2021-09-24 22:33:19.909276) +/- 0.2954 days
  Tj     =  -0.338413 +/- 0.1286
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.545042e-04, +9.252739e-05, +4.052978e-03, +2.587378e-07, +1.511536e-02, +4.079506e-03
q   , +9.252739e-05, +5.909056e-05, +2.445047e-03, +1.342108e-07, +9.471852e-03, +2.116329e-03
Tp  , +4.052978e-03, +2.445047e-03, +1.064111e-01, +6.683419e-06, +3.985629e-01, +1.053925e-01
node, +2.587378e-07, +1.342108e-07, +6.683419e-06, +5.612620e-10, +2.293730e-05, +8.838835e-06
peri, +1.511536e-02, +9.471852e-03, +3.985629e-01, +2.293730e-05, +1.526727e+00, +3.617251e-01
i   , +4.079506e-03, +2.116329e-03, +1.053925e-01, +8.838835e-06, +3.617251e-01, +1.392308e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 2.469708
 a2 = 19.758609

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 7.216e-06 s
  Stddev    = 2.69e-03 s

Begin point on the trajectory:
  Lon =    -0.691366 +/- 0.0003 deg
  Lat =    51.211100 +/- 0.0002 deg
  Ht  = 111992.80 +/- 35.71 m
End point on the trajectory:
  Lon =    -0.855368 +/- 0.0002 deg
  Lat =    51.254166 +/- 0.0003 deg
  Ht  = 100081.21 +/- 40.93 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
    UK0001,    True,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   112893.94,   100350.76,          0.032975,       nan,       nan,              34.07, 0.0000,    True,    True, {"ff_name": "FF_UK0001_20211103_050722_096_1061120.fits"}
    UK000F,   False,    -1.306160,    51.883100,   80.00,   3.208526,  18.465778,   110600.87,   100081.21,          0.012681,     10.37,     27.18,              26.24, 1.0000,    True,    True, {"ff_name": "FF_UK000F_20211103_050724_731_1073920.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.003329,  48.880278,   111992.80,   101371.24,          0.016276,     30.92,     16.93,              42.01, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20211103_050723_136_1071616.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,     UK0001,       1, -0.013398, 2459521.713552400004, 180.91232,  52.06403,               62.75746,  51.91590,        62.75506,       51.93524,    180.91232,     +52.06403,     180.88452,      +52.07327, -1968212.60,  3567921.35,  5036091.47,      51.207842,       -0.679038,  112893.94,  142603.53,       0.00,             1340.67,  2230.93,     -0.00,           68530.11,    -32.26,     35.91,          69.83,  +5.58,  +4.81
  1,     UK0001,       1,  0.026510, 2459521.713552861940, 181.48537,  52.66665,               61.63541,  51.83984,        61.62929,       51.88072,    181.48537,     +52.66665,     181.42622,      +52.68650, -1965441.30,  3567156.19,  5034980.39,      51.215520,       -0.708142,  110769.90,  140035.10,    3082.22,             1741.55,    -0.72,  77233.11,           68530.11,    -67.09,     74.60,         147.78,  +2.83,  +2.10
  2,     UK0001,       1,  0.066386, 2459521.713553323410, 181.90849,  53.20077,               60.67830,  51.81848,        60.67690,       51.82673,    181.90849,     +53.20077,     181.89667,      +53.20483, -1963169.46,  3566528.92,  5034069.56,      51.221813,       -0.732052,  109029.23,  137944.39,    5608.94,             4268.27,  -104.42,  63364.34,           68530.11,    -13.35,     14.88,          29.89,  +2.13,  +1.43
  3,     UK0001,       1,  0.106298, 2459521.713553785346, 182.46787,  53.75002,               59.65083,  51.72738,        59.64470,       51.75917,    182.46787,     +53.75002,     182.42127,      +53.76587, -1960775.57,  3565867.96,  5033109.79,      51.228442,       -0.757259,  107195.58,  135758.04,    8271.41,             6930.74,   -74.74,  66708.68,           68530.11,    -50.69,     56.42,         115.24,  +1.77,  +1.11
  4,     UK0001,       1,  0.146190, 2459521.713554247282, 183.05428,  54.34487,               58.55143,  51.63927,        58.54329,       51.67670,    183.05428,     +54.34487,     182.99884,      +54.36385, -1958294.72,  3565182.99,  5032115.16,      51.235310,       -0.783398,  105295.92,  133511.08,   11030.59,             9689.92,    52.96,  69166.11,           68302.94,    -58.83,     65.48,         135.99,  +1.62,  +0.99
  5,     UK0001,       1,  0.186070, 2459521.713554708753, 183.61669,  54.92694,               57.48557,  51.55913,        57.47885,       51.58712,    183.61669,     +54.92694,     183.57506,      +54.94135, -1955965.47,  3564539.88,  5031181.30,      51.241757,       -0.807970,  103512.88,  131419.10,   13621.17,            12280.50,    12.86,  64959.50,           67760.61,    -43.37,     48.31,         101.89,  +1.36,  +0.77
  6,     UK0001,       1,  0.225986, 2459521.713555170689, 184.19958,  55.44072,               56.52010,  51.44288,        56.50592,       51.49690,    184.19958,     +55.44072,     184.11786,      +55.46899, -1953892.12,  3563967.42,  5030350.05,      51.247494,       -0.829878,  101926.17,  129571.70,   15927.13,            14586.46,  -314.25,  57770.23,           66495.86,    -82.76,     92.06,         197.07,  +1.53,  +0.97
  7,     UK0001,       1,  0.265846, 2459521.713555632159, 184.71370,  55.99620,               55.52102,  51.37888,        55.51604,       51.39647,    184.71370,     +55.99620,     184.68757,      +56.00553, -1951833.00,  3563398.89,  5029524.50,      51.253191,       -0.851653,  100350.76,  127751.97,   18217.27,            16876.60,  -653.47,  57454.56,           65216.26,    -26.59,     29.65,          64.31,  +3.56,  +3.03
  0,     UK000F,       0,  0.030093, 2459521.713552901521, 136.68145,  16.61056,              150.65852,  51.82167,       150.65678,       51.83611,    136.68145,     +16.61056,     136.67789,      +16.62460, -1965220.71,  3567095.28,  5034891.95,      51.216131,       -0.710461,  110600.87,  139833.64,       0.00,             1986.88,     8.25,      0.00,           68263.49,    -33.03,    -12.56,          52.12,  +3.12,  +2.39
  1,     UK000F,       0,  0.070049, 2459521.713553363923, 136.24469,  16.51040,              151.35283,  51.85720,       151.35169,       51.86796,    136.24469,     +16.51040,     136.24222,      +16.52085, -1963172.94,  3566529.88,  5034070.95,      51.221803,       -0.732030,  109031.89,  137799.94,    2277.52,             4264.41,  -349.93,  57000.75,           68263.49,    -24.23,     -9.22,          38.81,  +2.67,  +1.97
  2,     UK000F,       0,  0.109985, 2459521.713553826325, 135.66024,  16.37857,              152.28282,  51.90198,       152.28268,       51.90367,    135.66024,     +16.37857,     135.66026,      +16.38021, -1960518.84,  3565797.08,  5033006.86,      51.229153,       -0.759960,  106998.97,  135177.01,    5229.39,             7216.27,   -32.44,  73914.85,           68263.49,     -3.74,     -1.42,           6.10,  +2.36,  +1.71
  3,     UK000F,       0,  0.149929, 2459521.713554288726, 135.07167,  16.23495,              153.22663,  51.93105,       153.22654,       51.93238,    135.07167,     +16.23495,     135.07194,      +16.23624, -1957933.09,  3565083.15,  5031970.17,      51.236311,       -0.787200,  105019.06,  132635.16,    8105.24,            10092.12,   208.51,  71997.15,           68263.49,     -2.88,     -1.10,           4.80,  +2.91,  +2.30
  4,     UK000F,       0,  0.189885, 2459521.713554751128, 134.65018,  16.13218,              153.90347,  51.94840,       153.90345,       51.94881,    134.65018,     +16.13218,     134.65087,      +16.13257, -1956145.47,  3564589.58,  5031253.47,      51.241259,       -0.806099,  103650.64,  130885.18,   10093.42,            12080.31,  -439.01,  49759.29,           65123.34,     -0.86,     -0.33,           1.45,  +2.59,  +2.01
  5,     UK000F,       0,  0.229801, 2459521.713555213064, 133.97174,  15.99162,              154.98354,  51.99400,       154.98430,       51.96606,    133.97174,     +15.99162,     133.98012,      +15.96459, -1953377.98,  3563825.47,  5030143.92,      51.248917,       -0.835287,  101532.78,  128191.82,   13171.40,            15158.28,     5.91,  77111.33,           65937.52,     58.42,     22.32,         100.62,  +2.30,  +1.76
  6,     UK000F,       0,  0.269777, 2459521.713555675931, 133.50070,  15.84774,              155.75474,  51.97655,       155.75478,       51.97284,    133.50070,     +15.84774,     133.50282,      +15.84416, -1951480.63,  3563301.60,  5029383.23,      51.254166,       -0.855368,  100081.21,  126354.71,   15281.62,            17268.50,  -520.89,  52787.15,           64818.21,      7.64,      2.91,          13.36,  +3.51,  +3.00
  0,     UK002B,       0,  0.000000, 2459521.713552555069, 171.57319,  62.50818,               46.87318,  59.49354,        46.87814,       59.47360,    171.57319,     +62.50818,     171.61608,      +62.50473, -1967036.97,  3567596.76,  5035620.14,      51.211100,       -0.691366,  111992.80,  129599.77,       0.00,               33.15,    39.62,      0.00,           65687.14,     21.83,    -39.87,          72.34,  +2.56,  +2.00
  1,     UK002B,       0,  0.039940, 2459521.713553017471, 171.91386,  63.29027,               45.32506,  59.36758,        45.32497,       59.36788,    171.91386,     +63.29027,     171.91339,      +63.29032, -1964644.62,  3566936.22,  5034660.98,      51.217727,       -0.716522,  110159.43,  127619.79,    2660.76,             2627.61,    -0.56,  66618.88,           65687.14,     -0.32,      0.58,           1.06,  +2.16,  +1.63
  2,     UK002B,       0,  0.079848, 2459521.713553479407, 172.15090,  64.03770,               43.85641,  59.27672,        43.86501,       59.25126,    172.15090,     +64.03770,     172.20929,      +64.03304, -1962447.88,  3566329.69,  5033780.26,      51.223811,       -0.739654,  108476.46,  125823.76,    5103.96,             5070.81,  -189.90,  61220.84,           65687.14,     27.24,    -49.79,          93.04,  +2.16,  +1.66
  3,     UK002B,       0,  0.119784, 2459521.713553941343, 172.57460,  64.91738,               42.13898,  59.09451,        42.14049,       59.09061,    172.57460,     +64.91738,     172.58432,      +64.91664, -1959909.02,  3565628.71,  5032762.37,      51.230841,       -0.766384,  106531.97,  123776.65,    7927.66,             7894.51,    -0.58,  70705.53,           65687.14,      4.13,     -7.54,          14.32,  +1.69,  +1.23
  4,     UK002B,       0,  0.159700, 2459521.713554403279, 172.94257,  65.78298,               40.46370,  58.92483,        40.46945,       58.91166,    172.94257,     +65.78298,     172.97553,      +65.78038, -1957503.16,  3564964.44,  5031797.80,      51.237501,       -0.791746,  104689.92,  121865.54,   10603.44,            10570.29,    42.15,  67035.36,           66309.84,     13.78,    -25.19,          48.59,  +1.31,  +0.88
  5,     UK002B,       0,  0.199648, 2459521.713554865681, 173.40578,  66.61706,               38.86709,  58.70751,        38.86228,       58.71747,    173.40578,     +66.61706,     173.38125,      +66.61911, -1955234.44,  3564338.04,  5030888.22,      51.243780,       -0.815691,  102953.38,  120090.22,   13126.70,            13093.55,   -69.77,  63163.54,           66038.03,    -10.34,     18.88,          36.98,  +1.65,  +1.25
  6,     UK002B,       0,  0.239592, 2459521.713555328082, 173.84125,  67.40005,               37.38329,  58.49666,        37.37218,       58.51777,    173.84125,     +67.40005,     173.78651,      +67.40457, -1953166.88,  3563767.18,  5030059.28,      51.249501,       -0.837544,  101371.24,  118495.89,   15426.22,            15393.08,  -405.15,  57568.82,           65033.14,    -21.76,     39.70,          78.80,  +2.05,  +1.68

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.