Orbital Analysis for matched events on 20210929_231816.074_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 84.29° Bg 31.21° Vg 61.36km/s
mass 0.00255g, abs. mag 1.2
Path Details
------------
start -0.83° 50.21° 107.43km
end   -0.92° 50.16° 99.44km

Orbit Details
-------------
Semimajor axis 5.58A.U., eccentricity 0.84, inclination 124.08°, Period 13.18Y, LA Sun 186.73°, last Perihelion 2008-08-19

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: 2459487.471019375138
Time: 2021-09-29 23:18:16.074012 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK0009
 Convergence angle = 16.97445 deg
 R.A. =  75.52663  Dec = +53.14609 deg
Intersection 2 - Stations: UK0001 and UK002D
 Convergence angle = 2.58509 deg
 R.A. =  92.84046  Dec = +56.47964 deg
Intersection 3 - Stations: UK0001 and UK003N
 Convergence angle = 30.92149 deg
 R.A. =  78.85709  Dec = +54.03055 deg
Intersection 4 - Stations: UK0009 and UK002D
 Convergence angle = 19.52188 deg
 R.A. =  77.85827  Dec = +53.33055 deg
Intersection 5 - Stations: UK0009 and UK003N
 Convergence angle = 13.97248 deg
 R.A. =  83.22555  Dec = +53.57882 deg
Intersection 6 - Stations: UK002D and UK003N
 Convergence angle = 33.48125 deg
 R.A. =  79.99679  Dec = +53.92888 deg

Best intersection: Stations UK002D and UK003N with Qconv = 33.48 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4155563.37 +/- 139.61 m
 Y =   -168940.75 +/- 80.88 m
 Z =   4960176.77 +/- 66.02 m
 Vx =     5377.28 +/- 779.79 m/s
 Vy =    35616.39 +/- 312.34 m/s
 Vz =    50895.71 +/- 419.82 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.030234e+04, +1.049246e+04, +5.352282e+03, +1.033321e+05, +3.864317e+04, +4.618050e+03
+1.049246e+04, +6.822045e+03, +4.536495e+03, +5.411244e+04, +2.133799e+04, +2.677435e+03
+5.352282e+03, +4.536495e+03, +4.592768e+03, +2.771192e+04, +8.955283e+03, +2.935746e+03
+1.033321e+05, +5.411244e+04, +2.771192e+04, +6.476706e+05, +2.238423e+05, +2.662414e+04
+3.864317e+04, +2.133799e+04, +8.955283e+03, +2.238423e+05, +9.508865e+04, +6.291231e+03
+4.618050e+03, +2.677435e+03, +2.935746e+03, +2.662414e+04, +6.291231e+03, +5.791208e+03

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK0009: -0.000550 s
    UK002D: -0.000469 s
    UK003N: -0.001099 s

Reference point on the trajectory:
  Time: 2021-09-29 23:18:16.074012 UTC
  Lon     = +-0.827304 +/- 0.0012 deg
  Lat     = +50.207151 +/- 0.0008 deg
  Lat geo = +50.020928 +/- 0.0008 deg
  Ht      =  107466.74 +/- 123.01 m

  JD dynamic   = 2459487.471820116043 
  LST apparent = 357.6719727425 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  81.41445 +/- 1.1349 deg
  Dec       = +54.71211 +/- 0.3062 deg
  Azimuth   =  50.46040 +/- 0.8019 deg
  Elevation = +41.87312 +/- 0.4306 deg
  Vavg      =  59.48735 +/- 0.1833 km/s
  Vinit     =  62.35235 +/- 0.2756 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  81.46660 +/- 1.1349 deg
  Dec       = +54.48661 +/- 0.3062 deg
  Azimuth   =  50.69746 +/- 0.8019 deg
  Elevation = +41.72982 +/- 0.4306 deg
  Vavg      =  59.66200 +/- 0.1833 km/s
  Vinit     =  62.52700 +/- 0.2756 km/s
Radiant (geocentric, J2000):
  R.A.   =  81.57666 +/- 1.1452 deg
  Dec    = +54.47993 +/- 0.3029 deg
  Vg     =  61.35684 +/- 0.2801 km/s
  Vinf   =  62.35235 +/- 0.2756 km/s
  Zc     =  48.24559 +/- 0.4325 deg
  Zg     =  48.65852 +/- 0.4399 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  84.28921 +/- 0.8084 deg
  Bg     = +31.20909 +/- 0.2518 deg
  Vh     =  40.15571 +/- 0.3027 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  68.00337 +/- 1.3764 deg
  Bh     = +52.35328 +/- 0.7023 deg
  Vh_x   =  -9.18655 +/- 0.7865 km/s
  Vh_y   = -22.74135 +/- 0.2852 km/s
  Vh_z   = -31.79497 +/- 0.1151 km/s
Orbit:
  La Sun = 186.729873 +/- nan deg
  a      =   5.580878 +/- 1.6080 AU
  e      =   0.837516 +/- 0.0261
  i      = 124.076933 +/- 0.3287 deg
  peri   = 217.591737 +/- 1.6560 deg
  node   = 186.729613 +/- 0.0000 deg
  Pi     =  44.321350 +/- 1.6560 deg
  q      =   0.906801 +/- 0.0105 AU
  f      = 322.406908 +/- 1.6560 deg
  M      = 358.056392 +/- 0.3794 deg
  Q      =  10.254955 +/- 3.2259 AU
  n      =   0.074757 +/- 0.0152 deg/day
  T      =  13.184219 +/- 6.8437 years
  Last perihelion JD = 2454697.850872 (2008-08-19 08:25:15.379281) +/- 2499.1145 days
  Tj     =   0.298434 +/- 0.1492
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.096454e-04, -2.759535e-04, -6.487412e+01, -3.617919e-09, +7.549328e-04, +1.255865e-04
q   , -2.759535e-04, +1.139227e-04, +2.516484e+01, +1.485493e-09, -3.143015e-04, -5.155079e-05
Tp  , -6.487412e+01, +2.516484e+01, +6.403610e+06, +3.123788e-04, -6.829834e+01, -1.083650e+01
node, -3.617919e-09, +1.485493e-09, +3.123788e-04, +2.902923e-14, -4.137006e-09, -1.007998e-09
peri, +7.549328e-04, -3.143015e-04, -6.829834e+01, -4.137006e-09, +8.689364e-04, +1.435703e-04
i   , +1.255865e-04, -5.155079e-05, -1.083650e+01, -1.007998e-09, +1.435703e-04, +3.500155e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK0001
  Avg. res. = 2.902e-06 s
  Stddev    = 1.70e-03 s

Begin point on the trajectory:
  Lon =    -0.827751 +/- 0.0011 deg
  Lat =    50.206914 +/- 0.0007 deg
  Ht  = 107429.04 +/- 116.36 m
End point on the trajectory:
  Lon =    -0.923390 +/- 0.0004 deg
  Lat =    50.156595 +/- 0.0004 deg
  Ht  = 99436.92 +/- 55.42 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,   False,    -1.778230,    50.857470,   24.00,   0.000566,  67.503199,   107429.04,    99436.92,          0.022710,     41.69,     38.87,              58.16, 0.7216,    True,    True, {"ff_name": "FF_UK0001_20210929_231811_172_0444928.fits"}
    UK0009,   False,    -0.848117,    51.261084,   92.00,   0.018518,  52.723232,   103865.42,    99588.41,          0.018554,     46.23,     22.65,              83.25, 0.9862,    True,    True, {"ff_name": "FF_UK0009_20210929_231812_194_0306688.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,  50.442519,   0.000000,   106474.62,    99718.05,          0.007364,     16.06,     16.43,              73.04, 0.9149,    True,    True, {"ff_name": "FF_UK002D_20210929_231815_020_0443904.fits"}
    UK003N,   False,    -0.162561,    51.236425,  111.00,  44.959891,   6.074622,   106169.46,    99548.07,          0.016559,     46.71,      9.92,              92.72, 0.9977,    True,    True, {"ff_name": "FF_UK003N_20210929_231812_906_0454400.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,       0,  0.000000, 2459487.471019375138,  25.78947,  14.44134,              136.68599,  46.69615,       136.67323,       46.68069,     25.78947,     +14.44134,      25.80469,      +14.43142,  4155558.50,  -168973.02,  4960130.67,      50.206914,       -0.827751,  107429.04,  146554.59,       0.00,               56.48,    25.96,      0.00,           62404.94,     31.00,     33.22,          63.96,  +5.12,  +4.29
  1,     UK0001,       0,  0.039732, 2459487.471019835211,  25.31961,  13.79006,              137.69827,  46.31359,       137.67664,       46.28796,     25.31961,     +13.79006,      25.34516,      +13.77355,  4155355.54,  -170317.35,  4958209.62,      50.197047,       -0.846536,  105858.35,  145340.60,    2353.47,             2409.96,   -97.95,  59233.70,           62404.94,     51.33,     55.03,         106.80,  +3.34,  +2.53
  2,     UK0001,       0,  0.079456, 2459487.471020294819,  24.82015,  13.00781,              138.81692,  45.81801,       138.82027,       45.82189,     24.82015,     +13.00781,      24.81662,      +13.01032,  4155124.52,  -171847.46,  4956023.09,      50.185807,       -0.867896,  104071.16,  143994.21,    5032.19,             5088.68,   103.89,  67433.22,           62404.94,     -7.76,     -8.31,          16.29,  +2.31,  +1.52
  3,     UK0001,       0,  0.119148, 2459487.471020753961,  24.31543,  12.35405,              139.84953,  45.43282,       139.81980,       45.39913,     24.31543,     +12.35405,      24.34973,      +12.33212,  4154923.01,  -173182.18,  4954115.79,      50.175993,       -0.886550,  102512.69,  142849.94,    7368.83,             7425.31,   -34.37,  58869.20,           62404.94,     67.38,     72.29,         142.69,  +1.70,  +0.93
  4,     UK0001,       0,  0.158876, 2459487.471021214034,  23.83337,  11.60546,              140.89650,  44.94465,       140.88474,       44.93159,     23.83337,     +11.60546,      23.84722,      +11.59692,  4154708.37,  -174603.86,  4952084.21,      50.165532,       -0.906411,  100853.16,  141663.90,    9857.72,             9914.20,   -22.61,  62648.33,           62267.90,     26.12,     28.00,          55.75,  +1.79,  +1.03
  5,     UK0001,       0,  0.198628, 2459487.471021674108,  23.40534,  10.96352,              141.80086,  44.52563,       141.79456,       44.51876,     23.40534,     +10.96352,      23.41315,      +10.95901,  4154525.14,  -175817.46,  4950349.98,      50.156595,       -0.923390,   99436.92,  140677.80,   11982.33,            12038.81,  -376.63,  53446.52,           60967.37,     13.74,     14.73,          29.54,  +2.33,  +1.59
  0,     UK0009,       0,  0.081900, 2459487.471020321827, 357.08798,   1.38809,              180.73632,  40.12474,       180.75950,       40.13703,    357.08798,      +1.38809,     357.07069,       +1.40053,  4155097.93,  -172023.65,  4955771.33,      50.184512,       -0.870346,  103865.42,  159210.01,       0.00,             5397.11,   259.93,      0.00,           53699.36,    -26.41,    -53.80,          77.64,  +4.51,  +3.50
  1,     UK0009,       0,  0.121276, 2459487.471020777710, 356.54575,   0.65952,              181.43028,  39.38981,       181.43255,       39.39100,    356.54575,      +0.65952,     356.54452,       +0.66075,  4154880.57,  -173463.33,  4953714.03,      50.173925,       -0.890453,  102184.47,  159036.32,    2520.40,             7917.51,   325.14,  64008.47,           53699.36,     -2.60,     -5.30,           7.66,  +3.44,  +2.43
  2,     UK0009,       0,  0.160808, 2459487.471021235455, 356.13942,   0.08227,              181.94005,  38.80517,       181.94685,       38.80874,    356.13942,      +0.08227,     356.13488,       +0.08595,  4154711.99,  -174579.92,  4952118.42,      50.165708,       -0.906087,  100881.10,  158929.20,    4475.18,             9872.28,  -184.99,  49448.01,           53699.36,     -7.80,    -15.90,          22.98,  +1.72,  +0.71
  3,     UK0009,       0,  0.200300, 2459487.471021692269, 355.70311,  -0.46800,              182.48061,  38.24453,       182.44942,       38.22821,    355.70311,      -0.46800,     355.72800,       -0.48497,  4154544.75,  -175687.63,  4950535.51,      50.157552,       -0.921598,   99588.41,  158846.79,    6414.41,            11811.51,  -708.18,  49104.37,           53699.36,     35.88,     73.30,         105.97,  +5.46,  +4.46
  0,     UK002D,       0,  0.023809, 2459487.471019652672,  19.44735,   0.23085,              151.68393,  35.38646,       151.68665,       35.38904,     19.44735,      +0.23085,      19.44457,       +0.23266,  4155435.18,  -169789.85,  4958963.41,      50.200920,       -0.839164,  106474.62,  180737.05,       0.00,             1486.49,   -28.61,      0.00,           64461.14,     -7.67,     -7.49,          12.24,  +3.58,  +2.29
  1,     UK002D,       0,  0.064241, 2459487.471020120662,  19.10978,  -0.29651,              152.26811,  34.98136,       152.26809,       34.98134,     19.10978,      -0.29651,      19.11008,       -0.29653,  4155259.12,  -170955.99,  4957297.00,      50.192357,       -0.855485,  105112.33,  180182.27,    2041.52,             3528.01,  -508.12,  50492.71,           64461.14,      0.06,      0.06,           0.10,  +3.28,  +2.00
  2,     UK002D,       0,  0.104929, 2459487.471020591911,  18.56743,  -1.13895,              153.19289,  34.32935,       153.18498,       34.32198,     18.56743,      -1.13895,      18.57621,       -1.14417,  4154979.27,  -172809.55,  4954648.27,      50.178734,       -0.881330,  102947.74,  179347.61,    5286.48,             6772.97,   199.85,  79752.32,           64461.14,     22.03,     21.53,          35.43,  +2.50,  +1.23
  3,     UK002D,       0,  0.145445, 2459487.471021060832,  18.19063,  -1.76500,              153.84026,  33.83302,       153.84517,       33.83756,     18.19063,      -1.76500,      18.18606,       -1.76176,  4154776.94,  -174149.67,  4952733.25,      50.168875,       -0.900063,  101383.28,  178777.38,    7632.57,             9119.06,    19.68,  57905.26,           64461.14,    -13.63,    -13.32,          21.99,  +1.93,  +0.67
  4,     UK002D,       0,  0.185977, 2459487.471021529753,  17.75764,  -2.41752,              154.55309,  33.32281,       154.54407,       33.31453,     17.75764,      -2.41752,      17.76792,       -2.42346,  4154561.52,  -175576.54,  4950694.25,      50.158370,       -0.920000,   99718.05,  178202.64,   10130.56,            11617.04,    -9.60,  61629.94,           63750.69,     24.90,     24.35,          40.32,  +2.78,  +1.53
  0,     UK003N,       0,  0.030648, 2459487.471019739285, 340.86762,   2.92988,              202.86892,  39.51692,       202.86393,       39.51547,    340.86762,      +2.92988,     340.87114,       +2.92754,  4155395.74,  -170051.04,  4958590.17,      50.199002,       -0.842813,  106169.46,  164726.40,       0.00,             1943.74,     2.24,      0.00,           63107.76,      2.46,     11.56,          14.80,  +4.30,  +3.22
  1,     UK003N,       0,  0.071296, 2459487.471020209603, 340.44365,   2.27308,              203.19071,  38.77632,       203.22030,       38.78489,    340.44365,      +2.27308,     340.42370,       +2.28708,  4155202.09,  -171333.73,  4956757.22,      50.189582,       -0.860749,  104671.14,  164888.70,    2245.55,             4189.29,  -286.71,  55243.77,           63107.76,    -14.74,    -69.26,          88.58,  +4.34,  +3.25
  2,     UK003N,       0,  0.112108, 2459487.471020681784, 339.86869,   1.46676,              203.64419,  37.85233,       203.66059,       37.85706,    339.86869,      +1.46676,     339.85782,       +1.47460,  4154955.87,  -172964.57,  4954426.75,      50.177594,       -0.883509,  102766.74,  165138.18,    5100.62,             7044.36,    23.63,  69956.55,           63107.76,     -8.27,    -38.87,          49.63,  +2.80,  +1.71
  3,     UK003N,       0,  0.152816, 2459487.471021153033, 339.36190,   0.75949,              204.03614,  37.03983,       204.03886,       37.04061,    339.36190,      +0.75949,     339.36064,       +0.76080,  4154738.91,  -174401.57,  4952373.29,      50.167021,       -0.903586,  101089.27,  165399.18,    7616.31,             9560.05,     1.08,  61798.47,           63107.76,     -1.38,     -6.51,           8.30,  +1.95,  +0.86
  4,     UK003N,       0,  0.193464, 2459487.471021623351, 338.88488,   0.12023,              204.40616,  36.29948,       204.37868,       36.29158,    338.88488,      +0.12023,     338.90504,       +0.10686,  4154539.52,  -175722.21,  4950486.10,      50.157297,       -0.922052,   99548.07,  165672.86,    9928.31,            11872.05,  -221.42,  56878.51,           61962.03,     14.09,     66.53,          84.67,  +2.88,  +1.78

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.