Orbital Analysis for matched events on 20210810_221206.864_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 311.89° Bg 67.44° Vg 22.43km/s
mass 0.18357g, abs. mag -0.9
Path Details
------------
start 2.53° 52.98° 91.50km
end   2.53° 52.99° 79.67km

Orbit Details
-------------
Semimajor axis 2.75A.U., eccentricity 0.66, inclination 34.32°, Period 4.56Y, LA Sun 138.20°, last Perihelion 2017-02-14

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: 2459437.425079445820
Time: 2021-08-10 22:12:06.904272 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK0032
 Convergence angle = 38.51781 deg
 R.A. = 292.98632  Dec = +47.36247 deg

Best intersection: Stations UK000C and UK0032 with Qconv = 38.52 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1660213.50 +/- 437.74 m
 Y =  -3533771.23 +/- 58.60 m
 Z =   5142660.62 +/- 191.50 m
 Vx =     6450.95 +/- 1183.16 m/s
 Vy =   -15620.79 +/- 217.44 m/s
 Vz =    18461.68 +/- 456.45 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.819499e+05, +2.037883e+04, +7.905971e+04, +4.604886e+05, +7.819418e+04, +1.788982e+05
+2.037883e+04, +3.510826e+03, +8.680307e+03, +5.347410e+04, +1.068418e+04, +2.268877e+04
+7.905971e+04, +8.680307e+03, +3.593874e+04, +1.977085e+05, +3.508809e+04, +7.871868e+04
+4.604886e+05, +5.347410e+04, +1.977085e+05, +1.202238e+06, +2.077296e+05, +4.661734e+05
+7.819418e+04, +1.068418e+04, +3.508809e+04, +2.077296e+05, +4.235009e+04, +8.518869e+04
+1.788982e+05, +2.268877e+04, +7.871868e+04, +4.661734e+05, +8.518869e+04, +1.889513e+05

Timing offsets (from input data):
    UK000C: -0.001541 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 22:12:06.904272 UTC
  Lon     = ++2.531027 +/- 0.0061 deg
  Lat     = +52.976562 +/- 0.0003 deg
  Lat geo = +52.794026 +/- 0.0003 deg
  Ht      =   92251.23 +/- 238.46 m

  JD dynamic   = 2459437.425880651455 
  LST apparent = 295.1647725147 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 292.43927 +/- 3.8735 deg
  Dec       = +47.52802 +/- 0.5516 deg
  Azimuth   = 198.79523 +/- 11.9295 deg
  Elevation = +84.28064 +/- 2.0807 deg
  Vavg      =  25.25653 +/- 0.2850 km/s
  Vinit     =  25.02913 +/- 0.3941 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 293.40408 +/- 3.8735 deg
  Dec       = +47.54684 +/- 0.5516 deg
  Azimuth   = 192.39440 +/- 11.9295 deg
  Elevation = +84.45531 +/- 2.0807 deg
  Vavg      =  25.24901 +/- 0.2850 km/s
  Vinit     =  25.02161 +/- 0.3941 km/s
Radiant (geocentric, J2000):
  R.A.   = 292.14939 +/- 4.0857 deg
  Dec    = +47.19190 +/- 0.6085 deg
  Vg     =  22.42755 +/- 0.4435 km/s
  Vinf   =  25.02913 +/- 0.3941 km/s
  Zc     =   5.54687 +/- 2.1049 deg
  Zg     =   5.85118 +/- 2.2509 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 311.88806 +/- 7.6892 deg
  Bg     = +67.43543 +/- 0.3292 deg
  Vh     =  37.78497 +/- 0.4581 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 244.45330 +/- 1.3938 deg
  Bh     = +33.23972 +/- 1.0724 deg
  Vh_x   =  13.62858 +/- 1.0676 km/s
  Vh_y   =  28.51309 +/- 0.3043 km/s
  Vh_z   = -20.71157 +/- 0.3852 km/s
Orbit:
  La Sun = 138.196758 +/- 0.0000 deg
  a      =   2.748564 +/- 0.5122 AU
  e      =   0.656838 +/- 0.0355
  i      =  34.319276 +/- 1.2364 deg
  peri   = 214.422273 +/- 3.3614 deg
  node   = 138.202452 +/- 0.0003 deg
  Pi     = 352.624725 +/- 3.3611 deg
  q      =   0.943202 +/- 0.0103 AU
  f      = 325.570927 +/- 3.3612 deg
  M      = 354.354151 +/- 1.0841 deg
  Q      =   4.553925 +/- 1.0145 AU
  n      =   0.216295 +/- 0.0317 deg/day
  T      =   4.556793 +/- 1.4802 years
  Last perihelion JD = 2457799.130736 (2017-02-14 15:08:15.577276) +/- 543.1643 days
  Tj     =   2.798608 +/- 0.1800
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.229438e-03, +3.551537e-04, -1.754323e+01, +1.770302e-07, -2.023011e-03, -7.437774e-04
q   , +3.551537e-04, +1.051196e-04, -5.022600e+00, +5.133689e-08, -5.958340e-04, -2.162287e-04
Tp  , -1.754323e+01, -5.022600e+00, +2.627266e+05, -2.550704e-03, +2.883681e+01, +1.060774e+01
node, +1.770302e-07, +5.133689e-08, -2.550704e-03, +2.586358e-11, -2.925900e-07, -1.085323e-07
peri, -2.023011e-03, -5.958340e-04, +2.883681e+01, -2.925900e-07, +3.383338e-03, +1.230209e-03
i   , -7.437774e-04, -2.162287e-04, +1.060774e+01, -1.085323e-07, +1.230209e-03, +4.564479e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.308142
 a2 = 10.392527

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 2.680e-05 s
  Stddev    = 5.18e-03 s

Begin point on the trajectory:
  Lon =     2.531382 +/- 0.0056 deg
  Lat =    52.977193 +/- 0.0003 deg
  Ht  = 91500.39 +/- 210.63 m
End point on the trajectory:
  Lon =     2.534981 +/- 0.0023 deg
  Lat =    52.987149 +/- 0.0002 deg
  Ht  = 79668.49 +/- 43.84 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,  25.351322,   0.000000,    86943.53,    79705.47,          0.033231,    154.45,     89.05,              80.18, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210810_221202_942_0176128.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,    91500.39,    79668.49,          0.014455,     42.28,     24.13,              67.63, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210810_221207_146_0173056.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,     UK000C,       0,  0.234276, 2459437.425082315691,  47.24476,  37.29333,               48.11842,  15.04448,        48.15592,       15.04252,     47.24476,     +37.29333,      47.21034,      +37.27053,  1658838.72, -3530442.25,  5138726.21,      52.981023,       +2.532674,   86943.53,  308354.71,       0.00,             5334.02,  -222.90,      0.00,           26212.59,     97.47,    169.12,         130.57,  +2.90,  +0.45
  1,     UK000C,       0,  0.274464, 2459437.425082780886,  47.39535,  37.09840,               48.13573,  14.81621,        48.14181,       14.81589,     47.39535,     +37.09840,      47.39080,      +37.09471,  1658515.47, -3529659.51,  5137801.12,      52.982073,       +2.533098,   85695.51,  308070.82,    1254.18,             6588.20,    25.41,  31207.78,           26212.59,     15.81,     27.43,          21.20,  +1.68,  -0.76
  2,     UK000C,       0,  0.314644, 2459437.425083246082,  47.55558,  36.91425,               48.13941,  14.59200,        48.12792,       14.59260,     47.55558,     +36.91425,      47.56781,      +36.92122,  1658197.55, -3528889.67,  5136891.27,      52.983106,       +2.533513,   84468.04,  307796.19,    2487.69,             7821.71,   253.25,  30699.55,           26212.59,    -29.88,    -51.82,          40.09,  +2.47,  +0.03
  3,     UK000C,       0,  0.354732, 2459437.425083709881,  47.70442,  36.86812,               48.06719,  14.48517,        48.12036,       14.48239,     47.70442,     +36.86812,      47.65567,      +36.83590,  1658040.49, -3528509.36,  5136441.79,      52.983617,       +2.533633,   83861.58,  307657.99,    3097.06,             8431.08,  -140.75,  15200.89,           26212.59,    138.22,    239.86,         185.60,  +3.14,  +0.70
  4,     UK000C,       0,  0.394904, 2459437.425084175076,  47.81085,  36.66856,               48.11534,  14.27323,        48.10731,       14.27365,     47.81085,     +36.66856,      47.82015,      +36.67342,  1657744.01, -3527791.44,  5135593.30,      52.984581,       +2.534009,   82716.86,  307407.71,    4247.38,             9581.41,     4.11,  28634.98,           25747.21,    -20.87,    -36.21,          28.04,  +1.99,  -0.45
  5,     UK000C,       0,  0.435028, 2459437.425084639341,  47.93590,  36.55106,               48.10135,  14.11929,        48.09733,       14.11950,     47.93590,     +36.55106,      47.94158,      +36.55349,  1657525.20, -3527261.60,  5134967.11,      52.985292,       +2.534243,   81871.98,  307223.42,    5096.34,            10430.36,  -151.21,  21158.21,           24959.15,    -10.45,    -18.12,          14.04,  +3.98,  +1.54
  6,     UK000C,       0,  0.475208, 2459437.425085104536,  48.04754,  36.34979,               48.14607,  13.90321,        48.08408,       13.90644,     48.04754,     +36.34979,      48.10820,      +36.38723,  1657223.45, -3526530.92,  5134103.54,      52.986274,       +2.534629,   80706.89,  306976.14,    6267.11,            11601.13,    13.89,  29138.17,           25125.70,   -161.28,   -279.63,         216.90,  +0.94,  -1.50
  7,     UK000C,       0,  0.515352, 2459437.425085568801,  48.21831,  36.22452,               48.10496,  13.72142,        48.07251,       13.72312,     48.21831,     +36.22452,      48.25122,      +36.24410,  1656964.10, -3525902.91,  5133361.32,      52.987118,       +2.534937,   79705.47,  306765.84,    7273.36,            12607.38,    15.38,  25066.12,           25190.12,    -84.42,   -146.40,         113.63,  +2.73,  +0.30
  0,     UK0032,       1,  0.000000, 2459437.425079445820,   5.84987,  21.91660,               89.28377,  27.32858,        89.26054,       27.33079,      5.84987,     +21.91660,       5.86525,      +21.93168,  1660225.86, -3533801.17,  5142696.00,      52.976522,       +2.531172,   92298.96,  195923.30,       0.00,               47.97,   354.78,      0.00,           22965.76,    -35.17,    -61.64,          74.71,  +5.20,  +3.74
  1,     UK0032,       0,  0.040168, 2459437.425079910550,   6.02669,  21.78756,               89.23742,  27.12392,        89.23552,       27.12411,      6.02669,     +21.78756,       6.02811,      +21.78880,  1660019.01, -3533300.29,  5142104.03,      52.977193,       +2.531382,   91500.39,  195550.07,     802.56,              754.59,    56.04,  19980.03,           22965.76,     -2.87,     -5.04,           6.12,  +2.99,  +1.53
  2,     UK0032,       0,  0.080380, 2459437.425080376212,   6.20128,  21.59743,               89.23697,  26.87398,        89.20574,       26.87696,      6.20128,     +21.59743,       6.22239,      +21.61773,  1659773.00, -3532704.58,  5141399.98,      52.977991,       +2.531664,   90550.61,  195111.44,    1757.06,             1709.10,     4.07,  23736.81,           22965.76,    -47.28,    -82.88,         100.87,  +3.09,  +1.64
  3,     UK0032,       0,  0.120592, 2459437.425080841407,   6.42843,  21.43908,               89.17130,  26.61651,        89.17446,       26.61621,      6.42843,     +21.43908,       6.42683,      +21.43702,  1659514.74, -3532079.20,  5140660.86,      52.978829,       +2.531969,   89553.52,  194655.43,    2759.11,             2711.14,    -0.35,  24919.17,           22965.76,      4.78,      8.38,          10.23,  +2.19,  +0.74
  4,     UK0032,       0,  0.160804, 2459437.425081307068,   6.62014,  21.25773,               89.15003,  26.36273,        89.14426,       26.36328,      6.62014,     +21.25773,       6.62466,      +21.26149,  1659265.31, -3531475.21,  5139947.03,      52.979638,       +2.532257,   88590.52,  194218.55,    3726.88,             3678.91,   -39.06,  24066.56,           23407.06,     -8.73,    -15.30,          18.71,  +2.15,  +0.71
  5,     UK0032,       0,  0.201024, 2459437.425081772264,   6.82275,  21.07478,               89.12081,  26.10104,        89.11317,       26.10177,      6.82275,     +21.07478,       6.82870,      +21.07976,  1659008.63, -3530853.68,  5139212.47,      52.980472,       +2.532559,   87599.55,  193773.31,    4722.75,             4674.78,   -49.86,  24760.58,           23726.55,    -11.56,    -20.26,          24.83,  +2.03,  +0.59
  6,     UK0032,       0,  0.241244, 2459437.425082237925,   7.04428,  20.90293,               89.06820,  25.83632,        89.08161,       25.83505,      7.04428,     +20.90293,       7.03628,      +20.89417,  1658748.08, -3530222.76,  5138466.80,      52.981318,       +2.532868,   86593.58,  193325.66,    5733.67,             5685.71,   -45.61,  25134.94,           23991.59,     20.30,     35.57,          43.70,  +1.67,  +0.24
  7,     UK0032,       0,  0.281488, 2459437.425082703587,   7.28010,  20.69887,               89.02685,  25.53824,        89.04645,       25.53637,      7.28010,     +20.69887,       7.26809,      +20.68605,  1658457.91, -3529520.13,  5137636.39,      52.982260,       +2.533232,   85473.27,  192833.31,    6859.50,             6811.53,    72.94,  27974.87,           24434.26,     29.68,     52.01,          64.05,  +1.54,  +0.11
  8,     UK0032,       0,  0.321692, 2459437.425083169248,   7.44988,  20.51572,               89.02251,  25.29580,        89.01829,       25.29620,      7.44988,     +20.51572,       7.45407,      +20.51848,  1658225.35, -3528957.00,  5136970.84,      52.983016,       +2.533490,   84575.36,  192440.52,    7761.80,             7713.83,   -31.02,  22443.16,           24508.05,     -6.39,    -11.20,          13.83,  +1.50,  +0.08
  9,     UK0032,       0,  0.361916, 2459437.425083634444,   7.69011,  20.34716,               88.95152,  25.02200,        88.98590,       25.01872,      7.69011,     +20.34716,       7.66839,      +20.32464,  1657958.07, -3528309.78,  5136205.92,      52.983885,       +2.533812,   83543.37,  191994.86,    8798.83,             8750.86,    -0.77,  25781.39,           24615.09,     52.04,     91.17,         112.78,  +1.77,  +0.35
 10,     UK0032,       0,  0.402148, 2459437.425084100105,   7.88530,  20.13880,               88.94403,  24.74469,        88.95395,       24.74374,      7.88530,     +20.13880,       7.88025,      +20.13230,  1657694.40, -3527671.31,  5135451.33,      52.984742,       +2.534127,   82525.31,  191559.55,    9821.86,             9773.89,    15.29,  25428.17,           24710.44,     15.02,     26.32,          32.63,  +2.11,  +0.70
 11,     UK0032,       0,  0.442368, 2459437.425084565766,   8.08989,  19.94704,               88.91686,  24.47431,        88.92272,       24.47376,      8.08989,     +19.94704,       8.08776,      +19.94320,  1657436.64, -3527047.15,  5134713.66,      52.985580,       +2.534432,   81530.06,  191138.10,   10821.94,            10773.97,     8.70,  24865.32,           24771.41,      8.86,     15.53,          19.29,  +2.37,  +0.96
 12,     UK0032,       0,  0.482572, 2459437.425085030962,   8.27317,  19.77089,               88.89522,  24.22864,        88.89448,       24.22871,      8.27317,     +19.77089,       8.27569,      +19.77138,  1657203.54, -3526482.71,  5134046.56,      52.986339,       +2.534692,   80629.99,  190759.70,   11726.35,            11678.38,   -93.16,  22495.52,           24733.25,     -1.12,     -1.97,           2.45,  +1.64,  +0.24
 13,     UK0032,       0,  0.522788, 2459437.425085496623,   8.48697,  19.59863,               88.84628,  23.96748,        88.86430,       23.96576,      8.48697,     +19.59863,       8.47687,      +19.58678,  1656954.53, -3525879.74,  5133333.93,      52.987149,       +2.534981,   79668.49,  190360.08,   12692.48,            12644.52,  -133.60,  24023.62,           24688.99,     27.27,     47.77,          59.60,  +4.36,  +2.96

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.