Orbital Analysis for matched events on 20211015_044255.758_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 92.38° Bg -6.48° Vg 67.10km/s
mass 0.02542g, abs. mag -0.6
best visual mag 0.2
Path Details
------------
start -1.64° 54.76° 111.91km
end   -1.64° 54.86° 96.74km

Orbit Details
-------------
Semimajor axis 7.49A.U., eccentricity 0.91, inclination 167.10°, Period 20.49Y, LA Sun 201.76°, last Perihelion 2001-05-26

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: 2459502.696478681639
Time: 2021-10-15 04:42:55.758134 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000P and UK004B
 Convergence angle = 87.75592 deg
 R.A. =  93.29660  Dec = +17.24863 deg

Best intersection: Stations UK000P and UK004B with Qconv = 87.76 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -198551.46 +/- 42.04 m
 Y =   3747820.41 +/- 50.19 m
 Z =   5277387.58 +/- 41.32 m
 Vx =    -3158.65 +/- 253.68 m/s
 Vy =    64897.65 +/- 345.01 m/s
 Vz =    20108.85 +/- 273.60 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.911433e+03, -2.151177e+03, -1.473465e+03, +1.223218e+04, -9.422298e+03, -8.984021e+03
-2.151177e+03, +2.842284e+03, +1.713427e+03, -1.384537e+04, +1.061541e+04, +1.011541e+04
-1.473465e+03, +1.713427e+03, +1.815860e+03, -9.200686e+03, +7.598361e+03, +1.124858e+04
+1.223218e+04, -1.384537e+04, -9.200686e+03, +8.592039e+04, -6.512190e+04, -5.908232e+04
-9.422298e+03, +1.061541e+04, +7.598361e+03, -6.512190e+04, +4.985511e+04, +4.856461e+04
-8.984021e+03, +1.011541e+04, +1.124858e+04, -5.908232e+04, +4.856461e+04, +7.262970e+04

Timing offsets (from input data):
    UK000P: 0.000153 s
    UK002X: 0.000000 s
    UK004B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-10-15 04:42:55.758134 UTC
  Lon     = +-1.638889 +/- 0.0006 deg
  Lat     = +54.759449 +/- 0.0003 deg
  Lat geo = +54.581018 +/- 0.0003 deg
  Ht      =  111870.34 +/- 59.88 m

  JD dynamic   = 2459502.697279423010 
  LST apparent = 93.0325721468 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  92.78646 +/- 0.2380 deg
  Dec       = +17.19669 +/- 0.1662 deg
  Azimuth   = 180.38566 +/- 0.3744 deg
  Elevation = +52.43677 +/- 0.1658 deg
  Vavg      =  64.93979 +/- 0.1427 km/s
  Vinit     =  68.01506 +/- 0.2890 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  93.02779 +/- 0.2380 deg
  Dec       = +17.19684 +/- 0.1662 deg
  Azimuth   = 180.00749 +/- 0.3744 deg
  Elevation = +52.43739 +/- 0.1658 deg
  Vavg      =  64.93922 +/- 0.1427 km/s
  Vinit     =  68.01449 +/- 0.2890 km/s
Radiant (geocentric, J2000):
  R.A.   =  92.46927 +/- 0.2388 deg
  Dec    = +16.94085 +/- 0.1694 deg
  Vg     =  67.10401 +/- 0.2929 km/s
  Vinf   =  68.01506 +/- 0.2890 km/s
  Zc     =  37.38481 +/- 0.1658 deg
  Zg     =  37.64622 +/- 0.1687 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  92.37724 +/- 0.2273 deg
  Bg     =  -6.47647 +/- 0.1722 deg
  Vh     =  40.75255 +/- 0.2075 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  77.35202 +/- 0.4714 deg
  Bh     = -10.70238 +/- 0.2932 deg
  Vh_x   =  -8.76798 +/- 0.2808 km/s
  Vh_y   = -39.07196 +/- 0.2964 km/s
  Vh_z   =   7.56805 +/- 0.1780 km/s
Orbit:
  La Sun = 201.756452 +/- 0.0000 deg
  a      =   7.488333 +/- 2.4136 AU
  e      =   0.909966 +/- 0.0124
  i      = 167.097655 +/- 0.3932 deg
  peri   =  71.329006 +/- 1.4546 deg
  node   =  21.759417 +/- 0.0000 deg
  Pi     =  93.088423 +/- 1.4545 deg
  q      =   0.674205 +/- 0.0093 AU
  f      = 288.671984 +/- 1.4546 deg
  M      = 358.149876 +/- 0.3469 deg
  Q      =  14.302461 +/- 4.8185 AU
  n      =   0.048098 +/- 0.0088 deg/day
  T      =  20.491718 +/- 12.5913 years
  Last perihelion JD = 2452056.432674 (2001-05-26 22:23:03.064020) +/- 4599.5486 days
  Tj     =  -0.274752 +/- 0.1112
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.619717e-04, +1.186559e-04, -5.465860e+01, +3.987784e-07, -1.868268e-02, +4.595471e-03
q   , +1.186559e-04, +9.262557e-05, -3.950920e+01, +2.564249e-07, -1.441805e-02, +2.953762e-03
Tp  , -5.465860e+01, -3.950920e+01, +2.051025e+07, -1.340468e-01, +6.228715e+03, -1.531282e+03
node, +3.987784e-07, +2.564249e-07, -1.340468e-01, +1.219243e-09, -4.142747e-05, +1.407254e-05
peri, -1.868268e-02, -1.441805e-02, +6.228715e+03, -4.142747e-05, +2.248880e+00, -4.773106e-01
i   , +4.595471e-03, +2.953762e-03, -1.531282e+03, +1.407254e-05, -4.773106e-01, +1.626012e-01

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: UK004B
  Avg. res. = 1.731e-05 s
  Stddev    = 4.16e-03 s

Begin point on the trajectory:
  Lon =    -1.638892 +/- 0.0006 deg
  Lat =    54.759195 +/- 0.0002 deg
  Ht  = 111907.70 +/- 51.46 m
End point on the trajectory:
  Lon =    -1.638875 +/- 0.0006 deg
  Lat =    54.862499 +/- 0.0001 deg
  Ht  = 96737.89 +/- 45.07 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
    UK000P,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   111907.70,    96737.89,          0.011439,      9.41,     26.24,              43.74, 1.0000,    True,    True, {"ff_name": "FF_UK000P_20211015_044249_923_0976640.fits"}
    UK002X,    True,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   111922.44,    97271.10,          0.068562,       nan,       nan,              43.74, 0.0000,    True,    True, {"ff_name": "FF_UK002X_20211015_044250_508_0590848.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,   0.000000,   0.000000,   109222.46,    99149.33,          0.011611,     37.01,     14.03,              87.63, 1.0000,    True,    True, {"ff_name": "FF_UK004B_20211015_044249_014_0989952.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,     UK000P,       0,  0.000188, 2459502.696478682104, 139.26342,  31.24082,              105.41610,  49.04424,       105.42506,       49.03520,    139.26342,     +31.24082,     139.26502,      +31.23012,  -198553.65,  3747865.38,  5277401.51,      54.759195,       -1.638892,  111907.70,  147223.75,       0.00,               47.13,   202.96,      0.00,           66637.91,     26.09,      9.35,          38.83,  +1.81,  +0.97
  1,     UK000P,       0,  0.040804, 2459502.696479152422, 140.16880,  31.32868,              104.43499,  48.60926,       104.43609,       48.60817,    140.16880,     +31.32868,     140.16915,      +31.32738,  -198421.95,  3745159.41,  5276563.05,      54.774463,       -1.638884,  109659.92,  145200.31,    2835.95,             2788.82,   182.15,  69823.59,           66637.91,      3.12,      1.12,           4.70,  +0.87,  +0.06
  2,     UK000P,       0,  0.081376, 2459502.696479621809, 141.01391,  31.41284,              103.52815,  48.20263,       103.52837,       48.20241,    141.01391,     +31.41284,     141.01429,      +31.41257,  -198302.24,  3742699.85,  5275800.95,      54.788350,       -1.638892,  107617.20,  143384.38,    5413.66,             5366.53,     0.35,  63534.12,           66637.91,      0.63,      0.22,           0.96,  +0.64,  -0.14
  3,     UK000P,       0,  0.122008, 2459502.696480092127, 141.94042,  31.49361,              102.55711,  47.74587,       102.55225,       47.75051,    141.94042,     +31.49361,     141.94025,      +31.49925,  -198174.71,  3740079.60,  5274989.05,      54.803154,       -1.638889,  105441.44,  141476.29,    8159.78,             8112.65,   -17.12,  67585.01,           66637.91,    -13.18,     -4.73,          20.42,  +0.47,  -0.28
  4,     UK000P,       0,  0.162688, 2459502.696480562910, 142.93332,  31.56082,              101.54859,  47.23945,       101.52812,       47.25862,    142.93332,     +31.56082,     142.93142,      +31.58440,  -198042.14,  3737355.78,  5274145.06,      54.818553,       -1.638879,  103180.11,  139522.69,   11014.44,            10967.31,    70.70,  70173.76,           67337.77,    -54.28,    -19.48,          85.25,  +0.32,  -0.40
  5,     UK000P,       0,  0.203344, 2459502.696481033228, 143.89466,  31.64380,              100.56730,  46.76048,       100.55335,       46.77332,    143.89466,     +31.64380,     143.89392,      +31.65975,  -197917.02,  3734785.09,  5273348.52,      54.833096,       -1.638879,  101046.34,  137707.39,   13708.61,            13661.48,    -0.35,  66267.44,           67384.45,    -36.20,    -12.99,          57.61,  +0.31,  -0.38
  6,     UK000P,       0,  0.243996, 2459502.696481504012, 144.85609,  31.72821,               99.59656,  46.28060,        99.59687,       46.28033,    144.85609,     +31.72821,     144.85714,      +31.72787,  -197795.18,  3732281.72,  5272572.84,      54.847268,       -1.638883,   98968.82,  135967.43,   16332.24,            16285.11,  -141.68,  64538.67,           67096.01,      0.77,      0.28,           1.25,  +0.79,  +0.12
  7,     UK000P,       0,  0.284724, 2459502.696481975261, 145.91917,  31.80333,               98.55410,  45.73441,        98.56198,       45.72739,    145.91917,     +31.80333,     145.92105,      +31.79443,  -197664.31,  3729592.97,  5271739.71,      54.862499,       -1.638875,   96737.89,  134131.20,   19150.15,            19103.02,   -93.89,  69188.48,           67150.67,     19.66,      7.04,          32.12,  +1.65,  +1.01
  0,     UK002X,       1, -0.002280, 2459502.696478655562, 139.24668,  31.31334,              105.36110,  49.10879,       105.43142,       49.03777,    139.24668,     +31.31334,     139.25934,      +31.22939,  -198554.52,  3747883.13,  5277407.01,      54.759095,       -1.638884,  111922.44,  147237.45,       0.00,               65.73,   389.36,     -0.00,           66652.98,    204.91,     73.01,         304.74,  +2.96,  +2.12
  1,     UK002X,       1,  0.037880, 2459502.696479120292, 140.00563,  31.36340,              104.56110,  48.72626,       104.60515,       48.68253,    140.00563,     +31.36340,     140.01320,      +31.31127,  -198444.34,  3745619.44,  5276705.60,      54.771867,       -1.638903,  110042.02,  145541.68,    2372.42,             2306.69,  -101.16,  59074.27,           66652.98,    125.61,     44.86,         189.03,  +1.35,  +0.54
  2,     UK002X,       1,  0.078040, 2459502.696479585022, 140.99345,  31.47666,              103.48533,  48.26234,       103.54114,       48.20805,    140.99345,     +31.47666,     141.00241,      +31.41128,  -198303.93,  3742734.57,  5275811.70,      54.788154,       -1.638881,  107646.03,  143410.30,    5395.88,             5330.15,   190.81,  75285.23,           66652.98,    155.11,     55.34,         236.86,  +0.69,  -0.09
  3,     UK002X,       1,  0.118196, 2459502.696480049752, 141.84223,  31.55124,              102.59472,  47.84431,       102.64644,       47.79483,    141.84223,     +31.55124,     141.85011,      +31.49112,  -198186.96,  3740331.36,  5275067.06,      54.801731,       -1.638890,  105650.47,  141658.38,    7914.53,             7848.80,   -21.75,  62721.60,           66652.98,    140.75,     50.23,         217.59,  +0.60,  -0.16
  4,     UK002X,       1,  0.158364, 2459502.696480514482, 142.80540,  31.64189,              101.59044,  47.37225,       101.64869,       47.31753,    142.80540,     +31.64189,     142.81363,      +31.57472,  -198057.68,  3737675.14,  5274244.01,      54.816747,       -1.638883,  103445.23,  139750.04,   10698.34,            10632.61,    30.03,  69304.17,           67077.98,    155.01,     55.29,         242.91,  +0.36,  -0.37
  5,     UK002X,       1,  0.198532, 2459502.696480979677, 143.75205,  31.72388,              100.62259,  46.90087,       100.68730,       46.84108,    143.75205,     +31.72388,     143.76049,      +31.64979,  -197934.15,  3735137.04,  5273457.57,      54.831105,       -1.638883,  101338.44,  137954.05,   13358.36,            13292.63,   -41.98,  66222.47,           67077.15,    168.68,     60.13,         267.75,  +0.25,  -0.45
  6,     UK002X,       1,  0.238728, 2459502.696481444873, 144.80475,  31.79518,               99.57924,  46.35963,        99.64124,       46.30336,    144.80475,     +31.79518,     144.81219,      +31.72468,  -197800.82,  3732397.71,  5272608.78,      54.846611,       -1.638870,   99065.08,  136048.01,   16229.27,            16163.54,    95.00,  71422.79,           67542.89,    158.14,     56.38,         254.54,  +0.72,  +0.05
  7,     UK002X,       1,  0.278892, 2459502.696481909603, 145.65692,  31.84714,               98.75023,  45.91576,        98.81014,       45.86212,    145.65692,     +31.84714,     145.66365,      +31.77936,  -197695.59,  3730235.66,  5271938.85,      54.858857,       -1.638894,   97271.10,  134566.27,   18495.18,            18429.45,  -370.85,  56416.44,           66809.69,    150.31,     53.59,         244.61,  +1.77,  +1.13
  0,     UK004B,       1,  0.000000, 2459502.696478681639, 334.73486,  61.05201,              329.40366,  34.18622,       329.40233,       34.18584,    334.73486,     +61.05201,     334.73615,      +61.05102,  -198549.22,  3747774.41,  5277373.32,      54.759708,       -1.638886,  111832.12,  195393.62,       0.00,               48.21,   216.80,      0.00,           64614.48,     -1.41,      3.72,           4.19,  +4.57,  +3.12
  1,     UK004B,       0,  0.040836, 2459502.696479154285, 333.05738,  60.53984,              329.79899,  33.27844,       329.77225,       33.27090,    333.05738,     +60.53984,     333.08430,      +60.52026,  -198396.31,  3744632.72,  5276399.85,      54.777436,       -1.638850,  109222.46,  195290.19,    3292.61,             3340.82,   731.94,  80629.99,           64614.48,    -28.53,     75.18,          84.93,  +2.87,  +1.42
  2,     UK004B,       0,  0.081316, 2459502.696479622740, 332.14478,  60.21135,              329.99187,  32.74437,       329.98110,       32.74133,    332.14478,     +60.21135,     332.15607,      +60.20350,  -198308.02,  3742818.57,  5275837.73,      54.787679,       -1.638900,  107715.79,  195257.69,    5193.89,             5242.11,  -120.02,  46968.54,           64614.48,    -11.54,     30.45,          34.40,  +1.44,  -0.01
  3,     UK004B,       0,  0.122060, 2459502.696480094455, 330.76070,  59.70225,              330.29734,  31.92419,       330.29995,       31.92493,    330.76070,     +59.70225,     330.75849,      +59.70414,  -198171.96,  3740023.15,  5274971.56,      54.803473,       -1.638886,  105394.56,  195241.31,    8123.60,             8171.82,    38.48,  71905.29,           64614.48,      2.82,     -7.46,           8.42,  +0.68,  -0.77
  4,     UK004B,       0,  0.162756, 2459502.696480565704, 329.48442,  59.21670,              330.59015,  31.15345,       330.59509,       31.15484,    329.48442,     +59.21670,     329.47986,      +59.22026,  -198043.74,  3737388.81,  5274155.29,      54.818366,       -1.638882,  103207.53,  195266.36,   10884.48,            10932.70,    31.42,  67841.54,           65403.69,      5.38,    -14.20,          16.04,  +0.49,  -0.96
  5,     UK004B,       0,  0.203392, 2459502.696481036022, 328.33958,  58.77745,              330.86847,  30.45811,       330.85852,       30.45531,    328.33958,     +58.77745,     328.35114,      +58.77034,  -197927.33,  3734997.03,  5273414.19,      54.831897,       -1.638894,  101222.23,  195323.32,   13391.15,            13439.36,  -225.77,  61685.89,           65098.43,    -10.90,     28.76,          32.48,  +0.56,  -0.89
  6,     UK004B,       0,  0.244048, 2459502.696481506340, 327.21203,  58.28497,              331.12149,  29.72254,       331.12956,       29.72482,    327.21203,     +58.28497,     327.20423,      +58.29070,  -197805.76,  3732499.26,  5272640.24,      54.846036,       -1.638899,   99149.33,  195416.89,   16008.90,            16057.12,  -373.24,  64387.92,           64913.30,      8.90,    -23.52,          26.54,  +1.54,  +0.09

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.