Orbital Analysis for matched events on 20211015_050051.568_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 112.93° Bg -27.40° Vg 64.98km/s
mass 0.81473g, abs. mag -1.2
best visual mag 0.3
Path Details
------------
start -1.62° 52.24° 111.21km
end   -1.70° 52.42° 98.70km

Orbit Details
-------------
Semimajor axis 7.98A.U., eccentricity 0.88, inclination 132.94°, Period 22.55Y, LA Sun 201.77°, last Perihelion 2021-10-13

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: 2459502.708930193912
Time: 2021-10-15 05:00:51.568754 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002Z and UK003X
 Convergence angle = 77.61896 deg
 R.A. = 110.25545  Dec =  -5.08778 deg

Best intersection: Stations UK002Z and UK003X with Qconv = 77.62 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -523097.26 +/- 111.91 m
 Y =   3947076.38 +/- 347.69 m
 Z =   5107483.63 +/- 30.12 m
 Vx =   -23027.53 +/- 374.93 m/s
 Vy =    61479.21 +/- 871.10 m/s
 Vz =    -5919.64 +/- 86.52 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.696836e+03, +1.619035e+04, +7.950461e+02, +3.124048e+04, +3.293112e+04, +2.617128e+03
+1.619035e+04, +4.208033e+04, +9.083536e+02, +7.226311e+04, +7.698228e+04, +4.600778e+03
+7.950461e+02, +9.083536e+02, +6.541433e+02, +1.591020e+03, +2.048826e+03, +2.472727e+03
+3.124048e+04, +7.226311e+04, +1.591020e+03, +1.373112e+05, +1.292814e+05, +5.213414e+03
+3.293112e+04, +7.698228e+04, +2.048826e+03, +1.292814e+05, +1.739350e+05, +1.252607e+04
+2.617128e+03, +4.600778e+03, +2.472727e+03, +5.213414e+03, +1.252607e+04, +1.134798e+04

Timing offsets (from input data):
    UK000S: 0.000000 s
    UK002Z: 0.000000 s
    UK003X: -0.000628 s

Reference point on the trajectory:
  Time: 2021-10-15 05:00:51.568754 UTC
  Lon     = +-1.616988 +/- 0.0022 deg
  Lat     = +52.244717 +/- 0.0023 deg
  Lat geo = +52.061460 +/- 0.0023 deg
  Ht      =  111206.31 +/- 211.09 m

  JD dynamic   = 2459502.709730934817 
  LST apparent = 97.5492898246 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 110.53384 +/- 0.5729 deg
  Dec       =  -5.15238 +/- 0.1297 deg
  Azimuth   = 164.77606 +/- 0.6506 deg
  Elevation = +31.54855 +/- 0.1874 deg
  Vavg      =  60.93690 +/- 0.4482 km/s
  Vinit     =  65.91663 +/- 0.6924 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 110.78051 +/- 0.5729 deg
  Dec       =  -5.14725 +/- 0.1297 deg
  Azimuth   = 164.49071 +/- 0.6506 deg
  Elevation = +31.51359 +/- 0.1874 deg
  Vavg      =  61.00248 +/- 0.4482 km/s
  Vinit     =  65.98221 +/- 0.6924 km/s
Radiant (geocentric, J2000):
  R.A.   = 110.34068 +/- 0.5775 deg
  Dec    =  -5.56281 +/- 0.1358 deg
  Vg     =  64.97620 +/- 0.7020 km/s
  Vinf   =  65.91663 +/- 0.6924 km/s
  Zc     =  58.27464 +/- 0.1878 deg
  Zg     =  58.73359 +/- 0.1971 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 112.93366 +/- 0.6527 deg
  Bg     = -27.39557 +/- 0.1142 deg
  Vh     =  40.84228 +/- 0.6725 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 113.15095 +/- 1.3060 deg
  Bh     = -47.05445 +/- 0.3696 deg
  Vh_x   =  10.93992 +/- 0.4167 km/s
  Vh_y   = -25.58521 +/- 0.8169 km/s
  Vh_z   =  29.89661 +/- 0.3406 km/s
Orbit:
  La Sun = 201.768790 +/- -0.0000 deg
  a      =   7.980928 +/- 73.2475 AU
  e      =   0.875089 +/- 0.0635
  i      = 132.937257 +/- 0.3576 deg
  peri   = 357.985355 +/- 1.7874 deg
  node   =  21.770999 +/- 0.0000 deg
  Pi     =  19.756354 +/- 1.7874 deg
  q      =   0.996906 +/- 0.0005 AU
  f      =   2.014822 +/- 1.7874 deg
  M      =   0.064970 +/- nan deg
  Q      =  14.964949 +/- 146.4948 AU
  n      =   0.043714 +/- 0.0116 deg/day
  T      =  22.546582 +/- nan years
  Last perihelion JD = 2459501.223498 (2021-10-13 17:21:50.243118) +/- 17946.0254 days
  Tj     =  -0.164421 +/- 0.3497
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +6.886051e-04, -6.099918e-07, -4.088464e+02, +1.415294e-08, +2.952135e-02, +3.191222e-03
q   , -6.099918e-07, +1.116102e-08, +1.072967e+00, -9.454730e-12, -9.962137e-06, -2.344702e-06
Tp  , -4.088464e+02, +1.072967e+00, +3.460923e+08, -8.919802e-03, -2.116968e+04, -2.006510e+03
node, +1.415294e-08, -9.454730e-12, -8.919802e-03, +7.881408e-13, +4.985137e-07, +1.811827e-07
peri, +2.952135e-02, -9.962137e-06, -2.116968e+04, +4.985137e-07, +1.849143e+00, +1.084948e-01
i   , +3.191222e-03, -2.344702e-06, -2.006510e+03, +1.811827e-07, +1.084948e-01, +4.168097e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000001
 a2 = 53.667406

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 1.505e-05 s
  Stddev    = 3.88e-03 s

Begin point on the trajectory:
  Lon =    -1.616983 +/- 0.0022 deg
  Lat =    52.244704 +/- 0.0023 deg
  Ht  = 111207.22 +/- 216.31 m
End point on the trajectory:
  Lon =    -1.696226 +/- 0.0006 deg
  Lat =    52.419125 +/- 0.0002 deg
  Ht  = 98695.69 +/- 17.51 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
    UK000S,    True,    -1.778230,    50.857470,   24.00, 544644.142449,   0.005698,   103050.74,    99088.69,          0.740384,       nan,       nan,             109.73, 0.0000,    True,    True, {"ff_name": "FF_UK000S_20211015_050056_181_0991232.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.003975,  31.092740,   111207.22,    98879.56,          0.014029,     23.39,     41.22,              36.76, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20211015_050051_697_1017088.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.000838,  37.070382,   103508.05,    98695.69,          0.026376,     47.93,     40.57,              82.03, 1.0000,    True,    True, {"ff_name": "FF_UK003X_20211015_050047_769_1003008.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,     UK000S,       1,  8.922021, 2459502.709033458028, 270.95889,  69.73628,                2.58467,  30.68531,         1.77913,       30.89018,    270.95889,     +69.73628,     272.95993,      +69.98894,  -517896.34,  3933190.89,  5108820.62,      52.352979,       -1.702382,  103050.74,  196913.71,       0.00,            14887.71, -573223.14,      0.00,           62651.28,  -1168.10,   2190.85,        2598.11,  +0.34,  -1.13
  1,     UK000S,       1,  8.962657, 2459502.709033928346, 271.69659,  69.02783,                2.34801,  29.95893,         1.53558,       30.16560,    271.69659,     +69.02783,     273.67142,      +69.27637,  -516897.92,  3930525.31,  5109077.28,      52.373787,       -1.711829,  101557.11,  198102.49,    2857.98,            17745.69, -573043.75,  70331.22,           62651.28,  -1193.86,   2237.92,        2638.38,  +0.28,  -1.20
  2,     UK000S,       1,  9.003245, 2459502.709034398198, 272.29889,  68.36829,                2.14866,  29.28601,         1.31435,       29.49845,    272.29889,     +68.36829,     274.28659,      +68.61825,  -515968.35,  3928043.53,  5109316.24,      52.393168,       -1.720647,  100167.05,  199239.74,    5518.89,            20406.59, -573058.27,  65558.93,           62651.28,  -1241.85,   2325.18,        2726.36,  +0.32,  -1.18
  3,     UK000S,       1,  9.043689, 2459502.709034866188, 272.80700,  67.86986,                1.96718,  28.77698,         1.14564,       28.98604,    272.80700,     +67.86986,     274.73688,      +68.11160,  -515247.39,  3926118.68,  5109501.58,      52.408205,       -1.727532,   99088.69,  200141.34,    7582.67,            22470.38, -573660.42,  51028.20,           62651.28,  -1233.58,   2310.56,        2696.82,  +1.62,  +0.11
  0,     UK002Z,       0,  0.000000, 2459502.708930193912,  73.54417,   0.31774,              210.48987,  32.82058,       210.48808,       32.81069,     73.54417,      +0.31774,      73.54262,       +0.30786,  -523097.86,  3947077.99,  5107483.48,      52.244704,       -1.616983,  111207.22,  201110.09,       0.00,                1.73,     0.44,      0.00,           66627.31,     30.56,     17.33,          36.03,  +2.58,  +1.06
  1,     UK002Z,       0,  0.040288, 2459502.708930660039,  73.11088,   0.37352,              211.00102,  32.74208,       211.00131,       32.74366,     73.11088,      +0.37352,      73.11130,       +0.37510,  -522229.83,  3944760.51,  5107706.62,      52.262755,       -1.625158,  109907.44,  199145.23,    2484.75,             2483.02,  -173.92,  61674.81,           66627.31,     -4.82,     -2.73,           5.74,  +2.15,  +0.65
  2,     UK002Z,       0,  0.080608, 2459502.708931127097,  72.59011,   0.48757,              211.63157,  32.68970,       211.62570,       32.65924,     72.59011,      +0.48757,      72.58564,       +0.45710,  -521193.47,  3941993.61,  5107973.04,      52.284314,       -1.634898,  108356.49,  196813.85,    5451.36,             5449.63,   134.92,  73576.48,           66627.31,     92.16,     52.32,         111.07,  +1.18,  -0.29
  3,     UK002Z,       0,  0.120924, 2459502.708931593690,  72.12989,   0.52880,              212.16579,  32.58431,       212.16563,       32.58355,     72.12989,      +0.52880,      72.13027,       +0.52803,  -520315.90,  3939650.67,  5108198.63,      52.302578,       -1.643182,  107043.93,  194854.00,    7963.41,             7961.68,   -10.52,  62309.13,           66627.31,      2.30,      1.30,           2.80,  +0.76,  -0.69
  4,     UK002Z,       0,  0.161268, 2459502.708932060283,  71.59995,   0.61367,              212.79363,  32.49562,       212.79301,       32.49260,     71.59995,      +0.61367,      71.60015,       +0.61064,  -519315.22,  3936979.03,  5108455.87,      52.323412,       -1.652617,  105548.09,  192634.21,   10827.89,            10826.15,   194.62,  71001.23,           67302.62,      8.98,      5.09,          11.05,  +0.50,  -0.92
  5,     UK002Z,       0,  0.201548, 2459502.708932526875,  71.14924,   0.70697,              213.33480,  32.43774,       213.32938,       32.41214,     71.14924,      +0.70697,      71.14604,       +0.68127,  -518476.81,  3934740.64,  5108671.40,      52.340874,       -1.660560,  104295.50,  190788.49,   13227.84,            13226.11,   -60.55,  59581.76,           66393.51,     75.34,     42.75,          93.65,  +0.54,  -0.86
  6,     UK002Z,       0,  0.241904, 2459502.708932993934,  70.61994,   0.76263,              213.94823,  32.31604,       213.94830,       32.31636,     70.61994,      +0.76263,      70.62100,       +0.76295,  -517526.51,  3932203.52,  5108915.69,      52.360674,       -1.669551,  102876.53,  188710.90,   15948.08,            15946.35,    -0.44,  67406.14,           66177.35,     -0.93,     -0.53,           1.17,  +0.44,  -0.94
  7,     UK002Z,       0,  0.282256, 2459502.708933460992,  70.07691,   0.85171,              214.58860,  32.21827,       214.58765,       32.21403,     70.07691,      +0.85171,      70.07743,       +0.84745,  -516564.10,  3929634.07,  5109163.10,      52.380735,       -1.678666,  101440.30,  186623.67,   18702.99,            18701.26,    94.60,  68271.90,           66262.01,     12.23,      6.93,          15.54,  +0.36,  -0.99
  8,     UK002Z,       0,  0.322564, 2459502.708933927119,  69.59377,   0.93367,              215.15828,  32.13118,       215.15571,       32.12015,     69.59377,      +0.93367,      69.59338,       +0.92256,  -515725.46,  3927395.06,  5109378.68,      52.398223,       -1.686641,  100189.45,  184819.85,   21103.60,            21101.87,  -161.76,  59556.77,           65854.62,     31.56,     17.89,          40.49,  +0.60,  -0.73
  9,     UK002Z,       0,  0.362904, 2459502.708934394177,  69.07602,   1.01170,              215.76352,  32.02591,       215.76140,       32.01706,     69.07602,      +1.01170,      69.07614,       +1.00277,  -514846.78,  3925049.14,  5109604.56,      52.416552,       -1.694998,   98879.56,  182944.44,   23618.84,            23617.11,  -305.60,  62350.90,           65456.04,     25.09,     14.22,          32.52,  +1.45,  +0.14
  0,     UK003X,       0,  0.218310, 2459502.708932728041, 181.65258,  69.20075,               32.52660,  48.87232,        32.53148,       48.86966,    181.65258,     +69.20075,     181.65740,      +69.19683,  -517949.50,  3933332.83,  5108806.96,      52.351860,       -1.665526,  103508.05,  136421.41,       0.00,            14735.53,   343.99,      0.00,           62380.73,      6.40,     -7.56,          14.98,  +3.23,  +2.56
  1,     UK003X,       0,  0.258850, 2459502.708933196962, 183.89071,  69.49737,               31.68294,  48.24055,        31.71980,       48.22067,    183.89071,     +69.49737,     183.91870,      +69.46721,  -517249.51,  3931463.97,  5108986.90,      52.366448,       -1.672198,  102463.05,  136370.86,    2003.75,            16739.28,  -324.52,  49426.46,           62380.73,     48.54,    -57.44,         113.75,  +2.49,  +1.82
  2,     UK003X,       0,  0.299702, 2459502.708933670074, 187.39443,  69.81898,               30.53968,  47.24286,        30.54695,       47.23899,    187.39443,     +69.81898,     187.40011,      +69.81290,  -516203.39,  3928671.03,  5109255.82,      52.388256,       -1.682098,  100902.21,  136352.31,    4998.28,            19733.80,   -22.82,  73301.86,           62380.73,      9.63,    -11.39,          22.57,  +0.53,  -0.14
  3,     UK003X,       0,  0.340402, 2459502.708934140857, 190.35379,  70.03434,               29.62490,  46.41453,        29.61164,       46.42153,    190.35379,     +70.03434,     190.34860,      +70.04563,  -515341.09,  3926368.86,  5109477.49,      52.406240,       -1.690298,   99616.37,  136385.84,    7466.61,            22202.14,  -237.29,  60646.98,           62380.73,    -17.70,     20.92,          41.45,  +0.84,  +0.17
  4,     UK003X,       0,  0.380918, 2459502.708934609778, 192.51805,  70.13584,               29.01237,  45.80348,        28.95753,       45.83230,    192.51805,     +70.13584,     192.49688,      +70.18308,  -514723.44,  3924719.83,  5109636.27,      52.419125,       -1.696226,   98695.69,  136436.22,    9234.66,            23970.19, -1139.92,  43638.28,           58841.27,    -73.67,     86.97,         172.31,  +4.04,  +3.37

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.