Orbital Analysis for matched events on 20210816_232913.901_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 38.60° Bg 3.53° Vg 68.66km/s
mass 0.02262g, abs. mag -0.0
Path Details
------------
start 1.29° 53.03° 112.57km
end   0.93° 53.03° 102.23km

Orbit Details
-------------
Semimajor axis 19.05A.U., eccentricity 0.96, inclination 173.43°, Period 83.17Y, LA Sun 144.01°, last Perihelion 1938-07-19

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: 2459443.478633124847
Time: 2021-08-16 23:29:13.914298 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 46.40245 deg
 R.A. =  35.04701  Dec = +18.13736 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 46.40 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2960615.15 +/- 40.93 m
 Y =  -2557382.43 +/- 10.44 m
 Z =   5162548.74 +/- 25.02 m
 Vx =    54127.84 +/- 191.56 m/s
 Vy =    37905.08 +/- 185.31 m/s
 Vz =    21702.68 +/- 110.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.793127e+03, +3.091658e+02, +1.044675e+03, +5.873148e+03, +2.398846e+02, +3.598086e+03
+3.091658e+02, +1.185688e+02, +1.271203e+02, +4.830570e+02, -9.479608e+01, +2.404177e+02
+1.044675e+03, +1.271203e+02, +6.773524e+02, +3.876103e+03, +2.797919e+02, +2.463707e+03
+5.873148e+03, +4.830570e+02, +3.876103e+03, +3.332479e+04, +7.274837e+03, +1.966172e+04
+2.398846e+02, -9.479608e+01, +2.797919e+02, +7.274837e+03, +5.270540e+03, +4.250211e+03
+3.598086e+03, +2.404177e+02, +2.463707e+03, +1.966172e+04, +4.250211e+03, +1.207310e+04

Timing offsets (from input data):
    UK002K: 0.000000 s
    UK0032: -0.000114 s

Reference point on the trajectory:
  Time: 2021-08-16 23:29:13.914298 UTC
  Lon     = ++1.299948 +/- 0.0005 deg
  Lat     = +53.026746 +/- 0.0001 deg
  Lat geo = +52.844882 +/- 0.0001 deg
  Ht      =  112876.30 +/- 35.93 m

  JD dynamic   = 2459443.479434008244 
  LST apparent = 319.1795124477 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  35.00310 +/- 0.0736 deg
  Dec       = +18.18165 +/- 0.0428 deg
  Azimuth   =  89.88952 +/- 0.0369 deg
  Elevation = +22.90661 +/- 0.0749 deg
  Vavg      =  67.54720 +/- 0.1378 km/s
  Vinit     =  69.55303 +/- 0.1975 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  35.06343 +/- 0.0736 deg
  Dec       = +18.11081 +/- 0.0428 deg
  Azimuth   =  89.89001 +/- 0.0369 deg
  Elevation = +22.81549 +/- 0.0749 deg
  Vavg      =  67.81007 +/- 0.1378 km/s
  Vinit     =  69.81590 +/- 0.1975 km/s
Radiant (geocentric, J2000):
  R.A.   =  35.03063 +/- 0.0753 deg
  Dec    = +17.70512 +/- 0.0451 deg
  Vg     =  68.66261 +/- 0.2000 km/s
  Vinf   =  69.55303 +/- 0.1975 km/s
  Zc     =  67.09386 +/- 0.0750 deg
  Zg     =  67.58335 +/- 0.0780 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  38.59814 +/- 0.0556 deg
  Bg     =  +3.52739 +/- 0.0640 deg
  Vh     =  41.30152 +/- 0.2074 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  27.16793 +/- 0.0704 deg
  Bh     =  +5.87085 +/- 0.0956 deg
  Vh_x   = -36.55208 +/- 0.1819 km/s
  Vh_y   = -18.75936 +/- 0.0981 km/s
  Vh_z   =  -4.22459 +/- 0.0873 km/s
Orbit:
  La Sun = 144.010769 +/- nan deg
  a      =  19.053416 +/- 24.4803 AU
  e      =   0.957820 +/- 0.0155
  i      = 173.427813 +/- 0.1091 deg
  peri   = 234.627755 +/- 0.4918 deg
  node   = 143.979815 +/- 0.0005 deg
  Pi     =  18.607570 +/- 0.4915 deg
  q      =   0.803669 +/- 0.0019 AU
  f      = 305.340518 +/- 0.4922 deg
  M      = 359.602340 +/- 0.1985 deg
  Q      =  37.303163 +/- 48.9589 AU
  n      =   0.011851 +/- 0.0058 deg/day
  T      =  83.168701 +/- 278.5843 years
  Last perihelion JD = 2429099.137870 (1938-07-19 15:18:32.000003) +/- 101755.0143 days
  Tj     =  -0.819335 +/- 0.1060
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.491827e-04, +2.585255e-05, -1.201297e+03, +1.230911e-07, -1.312795e-04, -2.594467e-05
q   , +2.585255e-05, +3.579139e-06, -1.775497e+02, +8.876184e-09, -1.580142e-05, -1.865383e-06
Tp  , -1.201297e+03, -1.775497e+02, +9.994632e+09, -2.756256e-01, +7.606697e+02, +5.768589e+01
node, +1.230911e-07, +8.876184e-09, -2.756256e-01, +8.699296e-11, -5.543017e-08, -1.837547e-08
peri, -1.312795e-04, -1.580142e-05, +7.606697e+02, -5.543017e-08, +7.447003e-05, +1.166900e-05
i   , -2.594467e-05, -1.865383e-06, +5.768589e+01, -1.837547e-08, +1.166900e-05, +3.882310e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.002204
 a2 = 30.892258

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 8.092e-07 s
  Stddev    = 9.00e-04 s

Begin point on the trajectory:
  Lon =     1.289437 +/- 0.0004 deg
  Lat =    53.026734 +/- 0.0001 deg
  Ht  = 112573.09 +/- 34.07 m
End point on the trajectory:
  Lon =     0.927120 +/- 0.0002 deg
  Lat =    53.025736 +/- 0.0001 deg
  Ht  = 102232.35 +/- 24.43 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,   0.000000,  67.889785,   111933.44,   102578.16,          0.004592,     12.88,      1.39,              30.11, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210816_232908_600_0304128.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000518,  33.732710,   112573.09,   102232.35,          0.008470,     18.92,      2.44,              29.15, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210816_232909_453_0309760.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,       1,  0.000000, 2459443.478633124847,   3.28199,  19.35011,              116.16547,  41.10935,       116.19683,       41.07058,      3.28199,     +19.35011,       3.28455,      +19.30477,  2960609.40, -2557386.45,  5162546.43,      53.026746,       +1.299900,  112873.43,  169830.77,       0.00,                7.39,   358.17,      0.00,           66693.54,    -14.47,   -133.80,         163.45,  +4.02,  +2.87
  1,     UK002K,       0,  0.039852, 2459443.478633586317,   2.84426,  19.29316,              116.66153,  41.29531,       116.66877,       41.28624,      2.84426,     +19.29316,       2.84507,      +19.28260,  2958729.31, -2558703.06,  5161792.60,      53.026704,       +1.267138,  111933.44,  167735.83,    2415.88,             2423.26,     2.21,  60621.20,           66693.54,     -3.33,    -30.77,          38.06,  +2.12,  +1.00
  2,     UK002K,       0,  0.079652, 2459443.478634046856,   2.32898,  19.25800,              117.22465,  41.53920,       117.22663,       41.53669,      2.32898,     +19.25800,       2.32950,      +19.25509,  2956579.54, -2560208.51,  5160930.65,      53.026644,       +1.229689,  110859.55,  165352.56,    5178.28,             5185.66,    -3.60,  69407.02,           66693.54,     -0.90,     -8.36,          10.49,  +1.70,  +0.61
  3,     UK002K,       0,  0.119444, 2459443.478634507395,   1.80080,  19.22254,              117.80499,  41.78817,       117.80305,       41.79064,      1.80080,     +19.22254,       1.80110,      +19.22540,  2954437.89, -2561708.28,  5160071.95,      53.026574,       +1.192368,  109790.68,  162990.50,    7930.24,             7937.63,   -19.28,  69158.81,           66693.54,      0.88,      8.10,          10.31,  +1.45,  +0.39
  4,     UK002K,       0,  0.159220, 2459443.478634967469,   1.24649,  19.19077,              118.41385,  42.05231,       118.41262,       42.05390,      1.24649,     +19.19077,       1.24703,      +19.19260,  2952255.70, -2563236.45,  5159196.99,      53.026489,       +1.154332,  108702.58,  160596.98,   10734.32,            10741.71,    18.25,  70496.63,           67790.38,      0.55,      5.11,           6.60,  +1.57,  +0.54
  5,     UK002K,       0,  0.198996, 2459443.478635428008,   0.68228,  19.15419,              119.04091,  42.31583,       119.03871,       42.31872,      0.68228,     +19.15419,       0.68287,      +19.15749,  2950097.75, -2564747.64,  5158331.76,      53.026394,       +1.116705,  107627.56,  158243.58,   13507.23,            13514.62,    24.62,  69713.28,           68378.48,      0.98,      9.10,          11.93,  +1.30,  +0.30
  6,     UK002K,       0,  0.238768, 2459443.478635888547,   0.13048,  19.12579,              119.65279,  42.57793,       119.65557,       42.57424,      0.13048,     +19.12579,       0.13180,      +19.12158,  2948049.62, -2566181.91,  5157510.56,      53.026293,       +1.080972,  106608.17,  156022.67,   16139.02,            16146.41,  -109.85,  66171.95,           68352.37,     -1.24,    -11.44,          15.21,  +1.17,  +0.20
  7,     UK002K,       0,  0.278520, 2459443.478636348620, 359.50673,  19.08228,              120.35788,  42.86246,       120.36014,       42.85940,    359.50673,     +19.08228,     359.50817,      +19.07882,  2945797.65, -2567758.94,  5156607.63,      53.026169,       +1.041687,  105488.35,  153596.80,   19032.76,            19040.15,    19.01,  72794.75,           68711.27,     -1.00,     -9.25,          12.50,  +1.29,  +0.36
  8,     UK002K,       0,  0.318284, 2459443.478636808693, 358.90849,  19.03486,              121.04330,  43.12826,       121.04264,       43.12916,    358.90849,     +19.03486,     358.90974,      +19.03588,  2943701.06, -2569227.16,  5155766.99,      53.026043,       +1.005090,  104446.75,  151352.95,   21726.83,            21734.22,   -52.62,  67751.58,           68814.89,      0.29,      2.68,           3.67,  +1.32,  +0.42
  9,     UK002K,       0,  0.358028, 2459443.478637268767, 358.27424,  18.98413,              121.77568,  43.40714,       121.77308,       43.41076,    358.27424,     +18.98413,     358.27538,      +18.98820,  2941542.72, -2570738.62,  5154901.60,      53.025901,       +0.967407,  103375.47,  149059.19,   24500.24,            24507.63,   -43.53,  69781.82,           68920.33,      1.14,     10.56,          14.70,  +1.55,  +0.68
 10,     UK002K,       0,  0.397828, 2459443.478637729306, 357.78739,  18.95499,              122.33444,  43.62770,       122.33728,       43.62368,    357.78739,     +18.95499,     357.78946,      +18.95049,  2939935.15, -2571864.39,  5154257.04,      53.025787,       +0.939290,  102578.16,  147359.96,   26565.94,            26573.33,  -746.04,  51901.99,           68203.93,     -1.25,    -11.54,          16.25,  +3.96,  +3.12
  0,     UK0032,       0,  0.012177, 2459443.478633267339,  12.80528,  40.27397,               86.39792,  51.25674,        86.39264,       51.25647,     12.80528,     +40.27397,      12.80828,      +40.27641,  2960008.84, -2557807.01,  5162305.64,      53.026734,       +1.289437,  112573.09,  143527.62,       0.00,              779.09,   282.93,      0.00,           66352.45,      1.06,      8.25,          11.95,  +3.14,  +2.36
  1,     UK0032,       0,  0.051753, 2459443.478633725084,  12.32330,  40.60538,               86.33934,  51.74976,        86.32861,       51.74922,     12.32330,     +40.60538,      12.32943,      +40.61031,  2958077.91, -2559159.22,  5161531.42,      53.026687,       +1.255792,  111607.94,  141360.20,    2481.20,             3260.29,    11.50,  62694.59,           66352.45,      2.11,     16.32,          24.01,  +1.95,  +1.20
  2,     UK0032,       0,  0.091269, 2459443.478634182364,  11.79045,  40.99111,               86.24068,  52.30457,        86.25462,       52.30528,     11.79045,     +40.99111,      11.78325,      +40.98476,  2955966.11, -2560638.10,  5160684.69,      53.026625,       +1.218999,  110553.29,  139002.83,    5194.82,             5973.91,   -23.34,  68671.50,           66352.45,     -2.66,    -20.59,          30.80,  +1.44,  +0.72
  3,     UK0032,       0,  0.130785, 2459443.478634640109,  11.22270,  41.35675,               86.18421,  52.86595,        86.17815,       52.86564,     11.22270,     +41.35675,      11.22649,      +41.35949,  2953908.00, -2562079.36,  5159859.49,      53.026554,       +1.183126,  109526.37,  136718.32,    7839.44,             8618.53,  -127.18,  66925.28,           66352.45,      1.12,      8.69,          13.22,  +1.39,  +0.71
  4,     UK0032,       0,  0.170233, 2459443.478635096457,  10.57881,  41.77260,               86.10639,  53.50065,        86.08916,       53.49978,     10.57881,     +41.77260,      10.58860,      +41.78034,  2951657.24, -2563655.54,  5158957.04,      53.026464,       +1.143898,  108404.35,  134236.20,   10731.61,            11510.71,    21.27,  73316.05,           67876.74,      3.08,     23.89,          37.02,  +1.04,  +0.40
  5,     UK0032,       0,  0.209701, 2459443.478635553271,   9.96024,  42.18983,               85.99432,  54.11801,        85.99976,       54.11828,      9.96024,     +42.18983,       9.95830,      +42.18741,  2949539.68, -2565138.44,  5158108.00,      53.026368,       +1.106970,  107349.71,  131916.23,   13452.63,            14231.72,    -2.83,  68942.38,           68464.89,     -0.94,     -7.30,          11.52,  +0.98,  +0.38
  6,     UK0032,       0,  0.249157, 2459443.478636010084,   9.29955,  42.59346,               85.91835,  54.74972,        85.90576,       54.74909,      9.29955,     +42.59346,       9.30700,      +42.59902,  2947453.79, -2566599.17,  5157271.66,      53.026262,       +1.070579,  106311.78,  129646.51,   16132.95,            16912.04,   -66.80,  67931.81,           68618.09,      2.11,     16.36,          26.25,  +0.92,  +0.36
  7,     UK0032,       0,  0.288573, 2459443.478636465967,   8.59957,  43.03778,               85.79812,  55.42524,        85.80165,       55.42542,      8.59957,     +43.03778,       8.59902,      +43.03624,  2945294.60, -2568111.23,  5156405.93,      53.026140,       +1.032905,  105238.34,  127314.53,   18907.47,            19686.56,   -33.78,  70390.66,           68829.35,     -0.57,     -4.43,           7.24,  +1.08,  +0.56
  8,     UK0032,       0,  0.327981, 2459443.478636922315,   7.85195,  43.46280,               85.72333,  56.11473,        85.69203,       56.11316,      7.85195,     +43.46280,       7.86862,      +43.47636,  2943176.87, -2569594.25,  5155556.82,      53.026009,       +0.995938,  104186.48,  125045.20,   21628.70,            22407.79,   -53.50,  69052.77,           68942.87,      4.90,     37.93,          63.08,  +1.05,  +0.56
  9,     UK0032,       0,  0.367377, 2459443.478637378197,   7.09678,  43.91281,               85.59811,  56.81894,        85.57556,       56.81780,      7.09678,     +43.91281,       7.10910,      +43.92247,  2941083.51, -2571060.20,  5154717.48,      53.025869,       +0.959384,  103147.66,  122820.40,   24318.62,            25097.71,  -103.69,  68279.03,           68964.58,      3.40,     26.36,          44.63,  +1.48,  +1.03
 10,     UK0032,       0,  0.406825, 2459443.478637835011,   6.40087,  44.32247,               85.47202,  57.46139,        85.46533,       57.46105,      6.40087,     +44.32247,       6.40570,      +44.32531,  2939237.52, -2572352.92,  5153977.33,      53.025736,       +0.927120,  102232.35,  120873.84,   26690.67,            27469.76,  -475.36,  60131.10,           68575.18,      0.98,      7.56,          13.01,  +3.05,  +2.64

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.