Orbital Analysis for matched events on 20211103_013819.368_UK

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Summary for Event
-----------------
shower ID 630 TAR
Lg 53.70° Bg 3.84° Vg 28.36km/s
mass 0.01769g, abs. mag 2.0
best visual mag 2.1
Path Details
------------
start -0.67° 51.42° 96.25km
end   -0.62° 51.48° 83.10km

Orbit Details
-------------
Semimajor axis 2.00A.U., eccentricity 0.83, inclination 4.61°, Period 2.82Y, LA Sun 220.55°, last Perihelion 2019-02-19

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: 2459521.568279724568
Time: 2021-11-03 01:38:19.368203 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002C
 Convergence angle = 28.99592 deg
 R.A. =  50.86592  Dec = +23.58263 deg

Best intersection: Stations UK000F and UK002C with Qconv = 29.00 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1615962.46 +/- 139.64 m
 Y =   3708432.12 +/- 211.41 m
 Z =   5038418.46 +/- 141.11 m
 Vx =    17574.45 +/- 1161.97 m/s
 Vy =    21704.77 +/- 1009.29 m/s
 Vz =    12161.80 +/- 630.56 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.401892e+04, -1.179021e+04, -9.132000e+03, +1.594333e+04, -7.928812e+04, -4.987078e+04
-1.179021e+04, +3.227618e+04, +2.047656e+04, -1.972297e+04, +1.136875e+05, +6.850107e+04
-9.132000e+03, +2.047656e+04, +1.518801e+04, -1.414334e+04, +7.807067e+04, +5.293118e+04
+1.594333e+04, -1.972297e+04, -1.414334e+04, +2.575146e+04, -1.144102e+05, -7.088546e+04
-7.928812e+04, +1.136875e+05, +7.807067e+04, -1.144102e+05, +5.958605e+05, +3.654314e+05
-4.987078e+04, +6.850107e+04, +5.293118e+04, -7.088546e+04, +3.654314e+05, +2.436457e+05

Timing offsets (from input data):
    UK000F: -0.003201 s
    UK002C: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 01:38:19.368203 UTC
  Lon     = +-0.665966 +/- 0.0028 deg
  Lat     = +51.424840 +/- 0.0005 deg
  Lat geo = +51.239893 +/- 0.0005 deg
  Ht      =   96227.29 +/- 203.62 m

  JD dynamic   = 2459521.569080465473 
  LST apparent = 66.4546645125 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  51.00276 +/- 1.6094 deg
  Dec       = +23.53187 +/- 0.6077 deg
  Azimuth   = 208.93214 +/- 2.3557 deg
  Elevation = +59.67317 +/- 1.0512 deg
  Vavg      =  30.00099 +/- 0.6627 km/s
  Vinit     =  30.46093 +/- 0.8366 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  51.58769 +/- 1.6094 deg
  Dec       = +23.58994 +/- 0.6077 deg
  Azimuth   = 207.96151 +/- 2.3557 deg
  Elevation = +59.90184 +/- 1.0512 deg
  Vavg      =  29.93028 +/- 0.6627 km/s
  Vinit     =  30.39022 +/- 0.8366 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.28864 +/- 1.6729 deg
  Dec    = +22.41535 +/- 0.7001 deg
  Vg     =  28.36357 +/- 0.8992 km/s
  Vinf   =  30.46093 +/- 0.8366 km/s
  Zc     =  30.16509 +/- 1.0549 deg
  Zg     =  31.26613 +/- 1.1624 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  53.70264 +/- 1.6688 deg
  Bg     =  +3.84146 +/- 0.3370 deg
  Vh     =  36.65947 +/- 0.1411 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   0.43068 +/- 1.8690 deg
  Bh     =  +2.97148 +/- 0.3383 deg
  Vh_x   = -36.60914 +/- 0.1370 km/s
  Vh_y   =  -0.27519 +/- 1.1985 km/s
  Vh_z   =  -1.90038 +/- 0.2123 km/s
Orbit:
  La Sun = 220.554682 +/- -0.0000 deg
  a      =   1.996220 +/- 0.0487 AU
  e      =   0.829805 +/- 0.0118
  i      =   4.606010 +/- 0.6729 deg
  peri   = 296.753460 +/- 3.6154 deg
  node   = 220.545272 +/- 0.0017 deg
  Pi     = 157.298732 +/- 3.6169 deg
  q      =   0.339747 +/- 0.0305 AU
  f      = 243.257156 +/- 3.6169 deg
  M      = 345.126325 +/- 0.4021 deg
  Q      =   3.652694 +/- 0.0747 AU
  n      =   0.349455 +/- 0.0121 deg/day
  T      =   2.820417 +/- 0.1044 years
  Last perihelion JD = 2458533.956187 (2019-02-19 10:56:54.537209) +/- 37.6558 days
  Tj     =   3.296070 +/- 0.0414
Shower association:
  IAU No.  =  630
  IAU code =  TAR

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +8.482958e-05, -2.136154e-04, +1.816161e-01, +1.082223e-05, +2.511872e-02, +4.661794e-03
q   , -2.136154e-04, +5.683836e-04, -5.887559e-01, -2.812058e-05, -6.743918e-02, -1.191025e-02
Tp  , +1.816161e-01, -5.887559e-01, +9.563872e+02, +2.691202e-02, +7.184111e+01, +1.076221e+01
node, +1.082223e-05, -2.812058e-05, +2.691202e-02, +1.861715e-06, +3.320985e-03, +7.742698e-04
peri, +2.511872e-02, -6.743918e-02, +7.184111e+01, +3.320985e-03, +8.013202e+00, +1.403625e+00
i   , +4.661794e-03, -1.191025e-02, +1.076221e+01, +7.742698e-04, +1.403625e+00, +3.309812e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.006457
 a2 = 20.327613

Mean time residuals from time vs. length:
  Station with reference time: UK002C
  Avg. res. = 6.061e-06 s
  Stddev    = 2.46e-03 s

Begin point on the trajectory:
  Lon =    -0.666044 +/- 0.0028 deg
  Lat =    51.424752 +/- 0.0003 deg
  Ht  = 96246.83 +/- 195.44 m
End point on the trajectory:
  Lon =    -0.615313 +/- 0.0018 deg
  Lat =    51.484462 +/- 0.0007 deg
  Ht  = 83102.54 +/- 241.25 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.014709,  18.281905,    92441.11,    83102.54,          0.029949,     56.90,      4.08,              36.80, 1.0000,    True,    True, {"ff_name": "FF_UK000F_20211103_013819_557_0760832.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000838,  25.247490,    96246.83,    83684.04,          0.045929,     96.26,     25.71,              61.63, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20211103_013814_566_0755968.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,     UK000F,       0,  0.145122, 2459521.568281477783,  91.55218,  21.44985,              137.03052,  53.63181,       137.03205,       53.63064,     91.55218,     +21.44985,      91.55251,      +21.44840,  1613431.53,  3705306.38,  5036667.01,      51.442014,       -0.651407,   92441.11,  114262.05,       0.00,             4386.73,    12.43,      0.00,           30510.57,     -0.21,      2.95,           5.33,  +2.31,  +2.02
  1,     UK000F,       0,  0.185302, 2459521.568281942979,  91.89571,  21.34223,              136.63324,  53.39081,       136.58942,       53.42382,     91.89571,     +21.34223,      91.90535,      +21.38351,  1612792.13,  3704516.71,  5036224.54,      51.446356,       -0.647732,   91484.66,  113378.87,    1108.25,             5494.97,  -103.25,  27582.01,           30510.57,      5.97,    -83.08,         151.53,  +2.47,  +2.20
  2,     UK000F,       0,  0.225450, 2459521.568282407708,  92.31820,  21.30103,              136.07933,  53.17419,       136.07383,       53.17829,     92.31820,     +21.30103,      92.32028,      +21.30619,  1612053.56,  3703604.56,  5035713.43,      51.451372,       -0.643459,   90379.93,  112364.36,    2388.37,             6775.10,   -46.07,  31885.24,           30510.57,      0.73,    -10.30,          18.95,  +2.33,  +2.08
  3,     UK000F,       0,  0.265650, 2459521.568282872904,  92.72961,  21.18906,              135.59948,  52.89792,       135.55887,       52.92797,     92.72961,     +21.18906,      92.73909,      +21.22703,  1611320.48,  3702699.19,  5035206.13,      51.456353,       -0.639217,   89283.47,  111362.70,    3658.98,             8045.71,     0.01,  31607.15,           30510.57,      5.39,    -75.15,         139.56,  +2.21,  +1.98
  4,     UK000F,       0,  0.305822, 2459521.568283337634,  93.14252,  21.11408,              135.09363,  52.65242,       135.05722,       52.67914,     93.14252,     +21.11408,      93.15137,      +21.14802,  1610610.41,  3701822.24,  5034714.75,      51.461179,       -0.635110,   88221.46,  110397.53,    4889.71,             9276.44,     7.06,  30636.42,           30691.26,      4.77,    -66.61,         124.77,  +2.28,  +2.07
  5,     UK000F,       0,  0.345990, 2459521.568283802830,  93.57283,  21.04547,              134.56371,  52.40345,       134.54271,       52.41873,     93.57283,     +21.04547,      93.57869,      +21.06498,  1609886.65,  3700928.39,  5034213.90,      51.466099,       -0.630919,   87139.03,  109419.25,    6144.16,            10530.89,    37.97,  31230.25,           30819.87,      2.71,    -37.97,          71.75,  +2.15,  +1.95
  6,     UK000F,       0,  0.386154, 2459521.568284267560,  93.98265,  20.97870,              134.06440,  52.16362,       134.05782,       52.16838,     93.98265,     +20.97870,      93.98567,      +20.98480,  1609207.81,  3700090.01,  5033744.13,      51.470715,       -0.626996,   86123.81,  108506.48,    7320.76,            11707.49,    -8.87,  29294.83,           30702.45,      0.84,    -11.77,          22.44,  +2.38,  +2.20
  7,     UK000F,       0,  0.426318, 2459521.568284732290,  94.38377,  20.91285,              133.58008,  51.92710,       133.58822,       51.92127,     94.38377,     +20.91285,      94.38385,      +20.90533,  1608553.48,  3699281.90,  5033291.32,      51.475166,       -0.623219,   85145.27,  107631.25,    8454.89,            12841.61,   -98.18,  28237.32,           30448.14,     -1.02,     14.41,          27.69,  +2.60,  +2.44
  8,     UK000F,       0,  0.466510, 2459521.568285197485,  94.85274,  20.82916,              133.02400,  51.64305,       133.04376,       51.62901,     94.85274,     +20.82916,      94.85047,      +20.81094,  1607800.45,  3698351.89,  5032770.21,      51.480290,       -0.618844,   84019.20,  106630.77,    9760.08,            14146.81,   -17.27,  32473.88,           30464.57,     -2.45,     34.61,          67.12,  +3.00,  +2.86
  9,     UK000F,       0,  0.506734, 2459521.568285663147,  95.21923,  20.67328,              132.66348,  51.34077,       132.59958,       51.38582,     95.21923,     +20.67328,      95.23529,      +20.73204,  1607187.45,  3697594.83,  5032346.01,      51.484462,       -0.615313,   83102.54,  105820.16,   10822.55,            15209.28,  -180.06,  26414.01,           30251.68,      7.99,   -110.85,         216.63,  +4.25,  +4.13
 10,     UK000F,       1,  0.546862, 2459521.568286127411,  95.63044,  20.64642,              132.14770,  51.12989,       132.14444,       51.13217,     95.63044,     +20.64642,      95.63346,      +20.64941,  1606562.42,  3696822.90,  5031913.48,      51.488717,       -0.611706,   82167.92,  104998.32,   11905.89,            16292.62,  -319.05,  26997.07,           29987.85,      0.40,     -5.60,          11.03,  +6.05,  +5.94
  0,     UK002C,       0,  0.000000, 2459521.568279724568, 121.97612,  39.99564,               83.53285,  49.90232,        83.70681,       49.84147,    121.97612,     +39.99564,     121.95449,      +39.86916,  1615975.52,  3708448.26,  5038427.50,      51.424752,       -0.666044,   96246.83,  125105.49,       0.00,               22.64,    68.88,      0.00,           30579.15,     71.95,    269.08,         459.23,  +5.85,  +5.36
  1,     UK002C,       0,  0.040456, 2459521.568280193023, 122.72937,  39.78519,               83.27069,  49.31118,        83.26381,       49.31358,    122.72937,     +39.78519,     122.73046,      +39.79023,  1615109.56,  3707378.78,  5037828.24,      51.430626,       -0.661019,   94951.32,  124375.93,    1500.93,             1478.29,   292.20,  37100.31,           30579.15,     -2.83,    -10.67,          18.31,  +3.52,  +3.05
  2,     UK002C,       0,  0.080552, 2459521.568280656822, 123.02244,  39.83707,               83.00304,  49.16008,        83.10508,       49.12453,    123.02244,     +39.83707,     123.00879,      +39.76221,  1614798.26,  3706994.32,  5037612.81,      51.432738,       -0.659318,   94485.61,  124112.20,    2040.48,             2017.84,  -389.61,  13456.55,           30579.15,     42.23,    158.29,         272.26,  +5.07,  +4.60
  3,     UK002C,       0,  0.121092, 2459521.568281126209, 123.99903,  39.64763,               82.55961,  48.44281,        82.55580,       48.44414,    123.99903,     +39.64763,     124.00010,      +39.65045,  1613708.05,  3705647.89,  5036858.37,      51.440137,       -0.652941,   92854.76,  123221.71,    3930.09,             3907.44,   265.11,  46610.80,           30579.15,     -1.58,     -5.93,          10.27,  +4.52,  +4.07
  4,     UK002C,       0,  0.161304, 2459521.568281591404, 124.49426,  39.65416,               82.21094,  48.14013,        82.29170,       48.11216,    124.49426,     +39.65416,     124.48244,      +39.59419,  1613179.88,  3704995.59,  5036492.87,      51.443723,       -0.649936,   92064.68,  122794.41,    4845.54,             4822.90,   -44.33,  22765.70,           30063.14,     33.53,    125.77,         218.65,  +3.39,  +2.94
  5,     UK002C,       0,  0.201644, 2459521.568282058463, 125.08957,  39.52012,               81.96321,  47.69194,        81.96380,       47.69173,    125.08957,     +39.52012,     125.09032,      +39.51968,  1612519.11,  3704179.53,  5036035.61,      51.448210,       -0.646133,   91076.29,  122269.27,    5990.81,             5968.17,  -127.85,  28390.55,           29676.54,      0.25,      0.92,           1.61,  +3.33,  +2.89
  6,     UK002C,       0,  0.242020, 2459521.568282525521, 125.84578,  39.44231,               81.53850,  47.17794,        81.56515,       47.16876,    125.84578,     +39.44231,     125.84223,      +39.42231,  1611708.37,  3703178.24,  5035474.56,      51.453717,       -0.641425,   89863.64,  121638.29,    7396.04,             7373.40,    47.48,  34803.50,           30088.53,     11.09,     41.66,          73.11,  +2.34,  +1.91
  7,     UK002C,       0,  0.282364, 2459521.568282992579, 126.49604,  39.34669,               81.20777,  46.71893,        81.22448,       46.71318,    126.49604,     +39.34669,     126.49423,      +39.33409,  1611009.67,  3702315.34,  5034991.05,      51.458465,       -0.637389,   88818.61,  121103.79,    8607.07,             8584.42,    29.59,  30017.45,           30254.20,      6.96,     26.17,          46.13,  +2.60,  +2.18
  8,     UK002C,       0,  0.322692, 2459521.568283459637, 127.12552,  39.25132,               80.89104,  46.27301,        80.89924,       46.27020,    127.12552,     +39.25132,     127.12534,      +39.24511,  1610337.29,  3701484.94,  5034525.75,      51.463035,       -0.633510,   87812.99,  120598.31,    9772.46,             9749.82,   -33.44,  28897.90,           30241.07,      3.42,     12.86,          22.76,  +2.35,  +1.94
  9,     UK002C,       0,  0.363104, 2459521.568283927161, 127.91437,  39.13819,               80.48698,  45.71824,        80.49999,       45.71379,    127.91437,     +39.13819,     127.91333,      +39.12827,  1609503.94,  3700455.74,  5033949.06,      51.468701,       -0.628658,   86566.70,  119986.44,   11216.86,            11194.22,   179.97,  35741.95,           30535.09,      5.45,     20.48,          36.42,  +2.73,  +2.33
 10,     UK002C,       0,  0.403368, 2459521.568284393288, 128.43445,  39.07542,               80.20741,  45.35984,        80.24116,       45.34830,    128.43445,     +39.07542,     128.42928,      +39.04958,  1608960.12,  3699784.11,  5033572.73,      51.472400,       -0.625548,   85753.39,  119591.99,   12159.44,            12136.80,  -103.93,  23409.90,           30372.09,     14.17,     53.20,          94.96,  +2.79,  +2.40
 11,     UK002C,       0,  0.443756, 2459521.568284860812, 129.11830,  38.92388,               79.91723,  44.84655,        79.89781,       44.85318,    129.11830,     +38.92388,     129.12426,      +38.93882,  1608232.37,  3698885.32,  5033069.11,      51.477351,       -0.621329,   84665.09,  119076.46,   13420.81,            13398.17,   -72.81,  31231.43,           30311.14,     -8.16,    -30.69,          55.00,  +4.87,  +4.49
 12,     UK002C,       0,  0.484080, 2459521.568285327405, 129.75379,  38.84244,               79.58098,  44.40602,        79.59073,       44.40270,    129.75379,     +38.84244,     129.75367,      +38.83491,  1607576.32,  3698075.09,  5032615.12,      51.481815,       -0.617539,   83684.04,  118620.44,   14557.91,            14535.27,  -164.02,  28198.98,           30204.70,      4.11,     15.43,          27.77,  +3.12,  +2.75

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.