Orbital Analysis for matched events on 20210813_220833.228_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 64.52° Bg 22.39° Vg 65.62km/s
mass 0.03703g, abs. mag -0.3
Path Details
------------
start 1.28° 53.11° 112.48km
end   0.99° 52.91° 102.19km

Orbit Details
-------------
Semimajor axis 14.78A.U., eccentricity 0.94, inclination 139.83°, Period 56.85Y, LA Sun 141.07°, last Perihelion 2021-07-17

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: 2459440.422606809996
Time: 2021-08-13 22:08:33.228384 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 16.32010 deg
 R.A. =  56.74108  Dec = +43.37793 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 16.32 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1710482.13 +/- 76.78 m
 Y =  -3509900.67 +/- 15.75 m
 Z =   5167860.43 +/- 55.95 m
 Vx =    26278.01 +/- 222.10 m/s
 Vy =    40487.73 +/- 218.16 m/s
 Vz =    45815.57 +/- 110.74 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.182117e+03, -7.539319e+02, +4.957119e+03, +1.818797e+04, -7.305480e+03, +8.033976e+03
-7.539319e+02, +2.705918e+02, -3.518701e+02, -2.876547e+03, +1.192405e+03, -1.119619e+03
+4.957119e+03, -3.518701e+02, +3.716550e+03, +1.173656e+04, -4.910910e+03, +5.653036e+03
+1.818797e+04, -2.876547e+03, +1.173656e+04, +5.738903e+04, -2.316590e+04, +2.556916e+04
-7.305480e+03, +1.192405e+03, -4.910910e+03, -2.316590e+04, +1.014321e+04, -1.079152e+04
+8.033976e+03, -1.119619e+03, +5.653036e+03, +2.556916e+04, -1.079152e+04, +1.249004e+04

Timing offsets (from input data):
    UK002K: -0.000281 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 22:08:33.228384 UTC
  Lon     = ++1.283529 +/- 0.0010 deg
  Lat     = +53.109370 +/- 0.0002 deg
  Lat geo = +52.927644 +/- 0.0002 deg
  Ht      =  112487.41 +/- 67.79 m

  JD dynamic   = 2459440.423407550901 
  LST apparent = 295.9813926418 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  57.01497 +/- 0.2781 deg
  Dec       = +43.50690 +/- 0.0447 deg
  Azimuth   =  41.10382 +/- 0.1595 deg
  Elevation = +19.03499 +/- 0.1419 deg
  Vavg      =  64.21785 +/- 0.1418 km/s
  Vinit     =  66.54966 +/- 0.1062 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  56.84160 +/- 0.2781 deg
  Dec       = +43.36255 +/- 0.0447 deg
  Azimuth   =  41.29863 +/- 0.1595 deg
  Elevation = +18.98247 +/- 0.1419 deg
  Vavg      =  64.39517 +/- 0.1418 km/s
  Vinit     =  66.72698 +/- 0.1062 km/s
Radiant (geocentric, J2000):
  R.A.   =  57.07451 +/- 0.2785 deg
  Dec    = +42.95760 +/- 0.0473 deg
  Vg     =  65.61844 +/- 0.1077 km/s
  Vinf   =  66.54966 +/- 0.1062 km/s
  Zc     =  71.10198 +/- 0.1423 deg
  Zg     =  71.67896 +/- 0.1455 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.51779 +/- 0.2044 deg
  Bg     = +22.38889 +/- 0.0896 deg
  Vh     =  41.12632 +/- 0.0963 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  76.04451 +/- 0.3933 deg
  Bh     = +37.42564 +/- 0.1361 deg
  Vh_x   =  -7.87659 +/- 0.2214 km/s
  Vh_y   = -31.69615 +/- 0.0455 km/s
  Vh_z   = -24.99375 +/- 0.1345 km/s
Orbit:
  La Sun = 141.074484 +/- nan deg
  a      =  14.784351 +/- 3.6331 AU
  e      =   0.939426 +/- 0.0079
  i      = 139.828832 +/- 0.0631 deg
  peri   = 139.504576 +/- 0.8559 deg
  node   = 141.070060 +/- 0.0000 deg
  Pi     = 280.574636 +/- 0.8559 deg
  q      =   0.895549 +/- 0.0042 AU
  f      =  40.489556 +/- 0.8559 deg
  M      =   0.471569 +/- 0.0862 deg
  Q      =  28.673153 +/- 7.2624 AU
  n      =   0.017338 +/- 0.0030 deg/day
  T      =  56.846541 +/- 25.1092 years
  Last perihelion JD = 2459413.224946 (2021-07-17 17:23:55.361731) +/- 0.5304 days
  Tj     =  -0.530851 +/- 0.0498
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.868996e-05, +3.647288e-05, +4.635714e-03, +1.146797e-09, +1.301824e-04, -7.253314e-06
q   , +3.647288e-05, +2.057593e-05, +2.581035e-03, +6.061392e-10, +7.296674e-05, -3.833260e-06
Tp  , +4.635714e-03, +2.581035e-03, +3.246813e-01, +7.705177e-08, +9.165703e-03, -4.872945e-04
node, +1.146797e-09, +6.061392e-10, +7.705177e-08, +3.373008e-14, +2.163278e-09, -2.133419e-10
peri, +1.301824e-04, +7.296674e-05, +9.165703e-03, +2.163278e-09, +2.589344e-04, -1.368091e-05
i   , -7.253314e-06, -3.833260e-06, -4.872945e-04, -2.133419e-10, -1.368091e-05, +1.349384e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.632416
 a2 = 12.829849

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 2.519e-06 s
  Stddev    = 1.59e-03 s

Begin point on the trajectory:
  Lon =     1.283440 +/- 0.0010 deg
  Lat =    53.109308 +/- 0.0000 deg
  Ht  = 112484.24 +/- 69.52 m
End point on the trajectory:
  Lon =     0.992630 +/- 0.0005 deg
  Lat =    52.908898 +/- 0.0002 deg
  Ht  = 102194.91 +/- 44.18 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   2.567790,  11.843347,   112161.57,   102194.91,          0.006313,     16.11,      7.31,              64.34, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_220828_344_0172544.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.615232,  15.006088,   112484.24,   102521.26,          0.008953,     16.71,     13.62,              45.17, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210813_220828_412_0178432.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,     UK002K,       0,  0.011994, 2459440.422607002314, 341.53315,  21.56156,              112.99184,  42.14161,       112.99113,       42.13222,    341.53315,     +21.56156,     341.53955,      +21.55428,  1710087.58, -3510508.57,  5167172.54,      53.103084,       +1.274348,  112161.57,  165416.08,       0.00,              999.21,   347.29,      0.00,           64611.07,    -11.22,     24.72,          33.85,  +2.12,  +1.03
  1,     UK002K,       0,  0.052082, 2459440.422607466113, 340.92515,  21.09465,              113.97935,  42.09437,       113.97890,       42.08944,    340.92515,     +21.09465,     340.92868,      +21.09083,  1709171.88, -3511919.43,  5165576.02,      53.088492,       +1.253040,  111405.88,  164443.12,    2319.03,             3318.24,    -1.53,  57848.44,           64611.07,     -5.86,     12.92,          17.79,  +1.61,  +0.53
  2,     UK002K,       0,  0.092190, 2459440.422607930377, 340.18576,  20.51403,              115.19102,  42.02018,       115.19152,       42.02469,    340.18576,     +20.51403,     340.18301,      +20.51750,  1708059.80, -3513632.86,  5163637.12,      53.070760,       +1.227212,  110489.10,  163299.84,    5135.39,             6134.60,   145.66,  70219.55,           64611.07,      5.33,    -11.74,          16.28,  +1.20,  +0.14
  3,     UK002K,       0,  0.132274, 2459440.422608394641, 339.49589,  19.99132,              116.30741,  41.96018,       116.30662,       41.95397,    339.49589,     +19.99132,     339.50065,      +19.98655,  1707048.55, -3515190.94,  5161874.00,      53.054627,       +1.203721,  109656.38,  162295.17,    7696.41,             8695.62,    39.11,  63891.33,           64611.07,     -7.29,     16.07,          22.42,  +1.13,  +0.08
  4,     UK002K,       0,  0.172386, 2459440.422608858906, 338.79458,  19.42370,              117.47008,  41.86278,       117.47089,       41.86834,    338.79458,     +19.42370,     338.79142,      +19.42797,  1706003.04, -3516801.80,  5160051.17,      53.037938,       +1.179453,  108796.38,  161293.12,   10344.18,            11343.39,    17.44,  66009.39,           65005.88,      6.51,    -14.34,          20.14,  +0.91,  -0.13
  5,     UK002K,       0,  0.212462, 2459440.422609322704, 338.14528,  18.92619,              118.52531,  41.78983,       118.52385,       41.78082,    338.14528,     +18.92619,     338.15233,      +18.91928,  1705066.08, -3518245.43,  5158417.58,      53.022973,       +1.157698,  108026.46,  160426.34,   12717.07,            13716.27,  -276.72,  59209.59,           64291.08,    -10.51,     23.14,          32.68,  +1.15,  +0.12
  6,     UK002K,       0,  0.252590, 2459440.422609786969, 337.34955,  18.26466,              119.85606,  41.64904,       119.85717,       41.65513,    337.34955,     +18.26466,     337.34633,      +18.26932,  1703889.20, -3520058.70,  5156365.69,      53.004167,       +1.130428,  107060.51,  159383.12,   15697.54,            16696.75,    33.24,  74274.13,           65106.26,      7.07,    -15.57,          22.13,  +0.84,  -0.17
  7,     UK002K,       0,  0.292674, 2459440.422610250767, 336.66861,  17.72710,              120.97293,  41.54519,       120.97155,       41.53830,    336.66861,     +17.72710,     336.67457,      +17.72183,  1702913.79, -3521561.56,  5154665.07,      52.988571,       +1.107810,  106260.81,  158554.72,   18167.79,            19167.00,  -164.08,  61626.98,           65156.00,     -7.97,     17.56,          25.08,  +0.89,  -0.11
  8,     UK002K,       0,  0.332778, 2459440.422610715032, 335.92613,  17.11756,              122.20601,  41.40438,       122.20412,       41.39573,    335.92613,     +17.11756,     335.93350,      +17.11096,  1701841.89, -3523213.09,  5152796.22,      52.971422,       +1.082983,  105382.97,  157684.91,   20882.40,            21881.61,  -118.37,  67689.27,           65348.13,     -9.98,     21.97,          31.57,  +0.86,  -0.13
  9,     UK002K,       0,  0.372890, 2459440.422611179296, 335.22210,  16.51595,              123.38957,  41.24289,       123.39022,       41.24559,    335.22210,     +16.51595,     335.22172,      +16.51801,  1700816.71, -3524792.62,  5151008.83,      52.955013,       +1.059243,  104544.33,  156892.37,   23478.68,            24477.89,  -191.54,  64725.65,           65411.97,      3.11,     -6.85,           9.89,  +0.95,  -0.03
 10,     UK002K,       0,  0.412978, 2459440.422611643560, 334.53637,  15.95084,              124.52556,  41.09596,       124.52407,       41.09012,    334.53637,     +15.95084,     334.54213,      +15.94639,  1699841.66, -3526294.93,  5149308.82,      52.939397,       +1.036667,  103747.53,  156174.74,   25948.04,            26947.24,  -390.02,  61598.37,           65273.49,     -6.69,     14.73,          21.37,  +1.30,  +0.33
 11,     UK002K,       0,  0.453094, 2459440.422612107825, 333.83141,  15.33749,              125.71233,  40.90918,       125.71367,       40.91409,    333.83141,     +15.33749,     333.82979,      +15.34123,  1698822.74, -3527864.83,  5147532.34,      52.923069,       +1.013093,  102915.77,  155463.75,   28528.48,            29527.69,  -479.29,  64324.51,           65157.08,      5.63,    -12.39,          18.05,  +1.99,  +1.03
 12,     UK002K,       0,  0.493178, 2459440.422612571623, 333.20832,  14.80930,              126.74910,  40.74937,       126.74940,       40.75041,    333.20832,     +14.80930,     333.20960,      +14.81009,  1697938.79, -3529226.78,  5145991.18,      52.908898,       +0.992630,  102194.91,  154878.39,   30767.10,            31766.31,  -908.24,  55848.26,           64779.97,      1.19,     -2.62,           3.83,  +3.07,  +2.12
  0,     UK0032,       0,  0.000000, 2459440.422606809996, 352.82016,  43.13817,               80.46125,  51.06054,        80.44382,       51.07894,    352.82016,     +43.13817,     352.80829,      +43.15777,  1710478.30, -3509906.58,  5167853.75,      53.109308,       +1.283440,  112484.24,  143762.93,       0.00,                9.71,   155.98,      0.00,           64921.04,     33.92,    -41.65,          77.07,  +2.73,  +1.94
  1,     UK0032,       0,  0.039728, 2459440.422607270069, 351.88148,  42.87290,               81.44463,  51.46417,        81.45419,       51.45386,    351.88148,     +42.87290,     351.88826,      +42.86204,  1709471.44, -3511457.89,  5166098.29,      53.093266,       +1.260026,  111653.01,  141979.91,    2549.90,             2559.61,    61.99,  64183.95,           64921.04,    -18.66,     22.87,          42.87,  +2.11,  +1.35
  2,     UK0032,       0,  0.079500, 2459440.422607730143, 350.98345,  42.55501,               82.48174,  51.81366,        82.47719,       51.81869,    350.98345,     +42.55501,     350.98041,      +42.56025,  1708492.73, -3512965.83,  5164391.92,      53.077664,       +1.237272,  110845.87,  140269.49,    5028.50,             5038.21,  -106.22,  62320.27,           64921.04,      8.92,    -10.94,          20.76,  +1.59,  +0.86
  3,     UK0032,       0,  0.119220, 2459440.422608189750, 349.96175,  42.20466,               83.66310,  52.21833,        83.65991,       52.22196,    349.96175,     +42.20466,     349.95978,      +42.20837,  1707408.47, -3514636.40,  5162501.53,      53.060370,       +1.212095,  109952.65,  138402.78,    7774.40,             7784.11,    -3.67,  69131.39,           64921.04,      6.29,     -7.71,          14.82,  +1.35,  +0.64
  4,     UK0032,       0,  0.158952, 2459440.422608649824, 348.96786,  41.84707,               84.85161,  52.60220,        84.84677,       52.60789,    348.96786,     +41.84707,     348.96465,      +41.85282,  1706367.23, -3516240.68,  5160686.13,      53.043752,       +1.187922,  109095.84,  136638.04,   10411.36,            10421.07,   -10.86,  66368.71,           65544.57,      9.66,    -11.84,          23.07,  +0.93,  +0.25
  5,     UK0032,       0,  0.198668, 2459440.422609109432, 347.94617,  41.47954,               86.09176,  52.99648,        86.09406,       52.99369,    347.94617,     +41.47954,     347.94882,      +41.47676,  1705319.37, -3517855.17,  5158859.18,      53.027019,       +1.163610,  108234.52,  134891.11,   13065.10,            13074.81,    -0.20,  66817.96,           65904.56,     -4.64,      5.69,          11.22,  +0.98,  +0.33
  6,     UK0032,       0,  0.238396, 2459440.422609569505, 346.94359,  41.08647,               87.37090,  53.36316,        87.36749,       53.36745,    346.94359,     +41.08647,     346.94160,      +41.09069,  1704294.54, -3519434.17,  5157072.41,      53.010646,       +1.139839,  107393.07,  133211.68,   15660.49,            15670.21,   -48.70,  65329.00,           65971.52,      6.99,     -8.57,          17.12,  +0.78,  +0.16
  7,     UK0032,       0,  0.278108, 2459440.422610029113, 345.88180,  40.65755,               88.76402,  53.74222,        88.75629,       53.75239,    345.88180,     +40.65755,     345.87592,      +40.66736,  1703224.31, -3521083.12,  5155206.47,      52.993537,       +1.115036,  106515.31,  131490.21,   18370.88,            18380.59,    18.86,  68250.92,           66189.26,     16.17,    -19.82,          40.13,  +0.82,  +0.23
  8,     UK0032,       0,  0.317824, 2459440.422610488720, 344.90066,  40.26752,               90.06312,  54.09435,        90.06318,       54.09427,    344.90066,     +40.26752,     344.90197,      +40.26744,  1702258.56, -3522571.10,  5153522.68,      52.978090,       +1.092649,  105724.09,  129965.33,   20816.67,            20826.38,  -178.43,  61582.00,           65983.87,     -0.13,      0.15,           0.32,  +0.70,  +0.13
  9,     UK0032,       0,  0.357524, 2459440.422610948328, 343.83379,  39.81811,               91.53264,  54.45891,        91.53490,       54.45566,    343.83379,     +39.81811,     343.83747,      +39.81507,  1701214.85, -3524179.20,  5151702.97,      52.961386,       +1.068480,  104869.91,  128350.19,   23459.90,            23469.61,  -177.22,  66580.27,           65911.80,     -4.96,      6.08,          12.61,  +0.69,  +0.15
 10,     UK0032,       0,  0.397228, 2459440.422611407470, 342.78372,  39.35738,               93.02783,  54.80258,        93.03047,       54.79858,    342.78372,     +39.35738,     342.78810,      +39.35368,  1700197.62, -3525746.48,  5149929.45,      52.945098,       +1.044932,  104038.33,  126809.38,   26036.04,            26045.75,  -243.36,  64883.68,           65825.78,     -5.99,      7.34,          15.42,  +0.89,  +0.37
 11,     UK0032,       0,  0.436940, 2459440.422611867078, 341.74055,  38.87110,               94.57590,  55.12144,        94.57231,       55.12724,    341.74055,     +38.87110,     341.73824,      +38.87638,  1699190.57, -3527298.09,  5148173.66,      52.928965,       +1.021629,  103215.95,  125317.69,   28586.42,            28596.13,  -335.81,  64221.73,           65714.48,      8.51,    -10.42,          22.15,  +1.38,  +0.89
 12,     UK0032,       0,  0.476668, 2459440.422612327151, 340.83235,  38.46639,               95.91856,  55.40663,        95.92479,       55.39599,    340.83235,     +38.46639,     340.84175,      +38.45683,  1698339.08, -3528610.03,  5146689.09,      52.915316,       +1.001908,  102521.26,  124082.54,   30742.85,            30752.56,  -823.27,  54279.81,           65270.18,    -15.35,     18.79,          40.34,  +2.09,  +1.62

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.