Orbital Analysis for matched events on 20211111_235929.973_UK

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Summary for Event
-----------------
shower ID -1 spo (Sporadic)
Lg 129.98° Bg 21.25° Vg 63.89km/s
mass 0.00697g, abs. mag 0.8
best visual mag 1.0
Path Details
------------
start -1.17° 51.02° 110.69km
end   -1.36° 50.96° 102.43km

Orbit Details
-------------
Semimajor axis 2.69A.U., eccentricity 0.67, inclination 141.04°, Period 4.41Y, LA Sun 229.52°, last Perihelion 2017-07-13

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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: 2459530.499652471859
Time: 2021-11-11 23:59:29.973569 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK0038
 Convergence angle = 43.64378 deg
 R.A. = 140.14004  Dec = +38.18628 deg
Intersection 2 - Stations: UK0001 and UK003M
 Convergence angle = 29.03247 deg
 R.A. = 140.57214  Dec = +37.88133 deg
Intersection 3 - Stations: UK0038 and UK003M
 Convergence angle = 14.61374 deg
 R.A. = 139.02282  Dec = +38.15159 deg

Best intersection: Stations UK0001 and UK0038 with Qconv = 43.64 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2626460.87 +/- 18.56 m
 Y =   3135567.44 +/- 66.14 m
 Z =   5020813.84 +/- 40.80 m
 Vx =   -38632.61 +/- 29.29 m/s
 Vy =    33102.01 +/- 382.61 m/s
 Vz =    40214.91 +/- 311.94 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.730463e+02, +8.188916e+02, +5.106369e+02, +2.881641e+02, +4.835207e+03, +3.585719e+03
+8.188916e+02, +4.772005e+03, +2.741929e+03, +6.185100e+02, +2.596130e+04, +1.744522e+04
+5.106369e+02, +2.741929e+03, +1.815860e+03, +1.122199e+03, +1.451775e+04, +1.114488e+04
+2.881641e+02, +6.185100e+02, +1.122199e+03, +3.933453e+03, +4.716043e+03, +9.825192e+03
+4.835207e+03, +2.596130e+04, +1.451775e+04, +4.716043e+03, +1.541788e+05, +1.051045e+05
+3.585719e+03, +1.744522e+04, +1.114488e+04, +9.825192e+03, +1.051045e+05, +8.320545e+04

Timing offsets (from input data):
    UK0001: -0.000149 s
    UK0038: -0.000298 s
    UK003M: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-11 23:59:29.973569 UTC
  Lon     = +-1.168843 +/- 0.0005 deg
  Lat     = +51.016877 +/- 0.0002 deg
  Lat geo = +50.831771 +/- 0.0002 deg
  Ht      =  110701.72 +/- 67.40 m

  JD dynamic   = 2459530.500453212764 
  LST apparent = 50.0492819323 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 139.40867 +/- 0.3400 deg
  Dec       = +38.32538 +/- 0.1117 deg
  Azimuth   =  63.95901 +/- 0.1768 deg
  Elevation = +29.18044 +/- 0.2449 deg
  Vavg      =  62.46021 +/- 0.2539 km/s
  Vinit     =  64.84952 +/- 0.3428 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 139.41240 +/- 0.3400 deg
  Dec       = +38.16256 +/- 0.1117 deg
  Azimuth   =  64.09089 +/- 0.1768 deg
  Elevation = +29.06535 +/- 0.2449 deg
  Vavg      =  62.69445 +/- 0.2539 km/s
  Vinit     =  65.08376 +/- 0.3428 km/s
Radiant (geocentric, J2000):
  R.A.   = 139.52574 +/- 0.3465 deg
  Dec    = +38.07156 +/- 0.1157 deg
  Vg     =  63.89337 +/- 0.3480 km/s
  Vinf   =  64.84952 +/- 0.3428 km/s
  Zc     =  60.90096 +/- 0.2453 deg
  Zg     =  61.40127 +/- 0.2532 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 129.98305 +/- 0.3035 deg
  Bg     = +21.25475 +/- 0.0901 deg
  Vh     =  38.24160 +/- 0.3643 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 119.78060 +/- 0.4877 deg
  Bh     = +37.27932 +/- 0.2736 deg
  Vh_x   =  15.11325 +/- 0.0598 km/s
  Vh_y   = -26.40995 +/- 0.4550 km/s
  Vh_z   = -23.16298 +/- 0.1316 km/s
Orbit:
  La Sun = 229.519879 +/- 0.0000 deg
  a      =   2.689330 +/- 0.1633 AU
  e      =   0.665343 +/- 0.0287
  i      = 141.035616 +/- 0.2216 deg
  peri   = 219.412758 +/- 0.1117 deg
  node   = 229.521274 +/- 0.0000 deg
  Pi     =  88.934032 +/- 0.1117 deg
  q      =   0.900003 +/- 0.0021 AU
  f      = 320.588468 +/- 0.1117 deg
  M      = 353.690844 +/- 0.9906 deg
  Q      =   4.478657 +/- 0.3287 AU
  n      =   0.223480 +/- 0.0301 deg/day
  T      =   4.410286 +/- 0.3740 years
  Last perihelion JD = 2457947.846751 (2017-07-13 08:19:19.245385) +/- 136.9980 days
  Tj     =   1.100618 +/- 0.1682
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +8.976569e-04, -6.587555e-05, -4.248177e+00, +1.570378e-07, -3.322070e-03, +4.669669e-03
q   , -6.587555e-05, +4.859768e-06, +3.102986e-01, -1.072423e-08, +2.392218e-04, -3.187421e-04
Tp  , -4.248177e+00, +3.102986e-01, +2.047552e+04, -7.556946e-04, +1.564933e+01, -2.246060e+01
node, +1.570378e-07, -1.072423e-08, -7.556946e-04, +5.930461e-11, -7.641167e-07, +1.770685e-06
peri, -3.322070e-03, +2.392218e-04, +1.564933e+01, -7.641167e-07, +1.351449e-02, -2.277351e-02
i   , +4.669669e-03, -3.187421e-04, -2.246060e+01, +1.770685e-06, -2.277351e-02, +5.287003e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000001
 a2 = 77.296505

Mean time residuals from time vs. length:
  Station with reference time: UK003M
  Avg. res. = 6.205e-06 s
  Stddev    = 2.49e-03 s

Begin point on the trajectory:
  Lon =    -1.169116 +/- 0.0004 deg
  Lat =    51.016792 +/- 0.0002 deg
  Ht  = 110689.61 +/- 64.55 m
End point on the trajectory:
  Lon =    -1.356763 +/- 0.0002 deg
  Lat =    50.959083 +/- 0.0001 deg
  Ht  = 102429.71 +/- 47.28 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,   0.000000,   0.000000,   107102.00,   102429.71,          0.017675,     30.80,     16.12,              38.90, 0.3943,    True,    True, {"ff_name": "FF_UK0001_20211111_235920_374_0624640.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   109786.77,   102688.97,          0.010554,      7.97,     24.12,              44.05, 0.4834,    True,    True, {"ff_name": "FF_UK0038_20211111_235926_764_0625920.fits"}
    UK003M,   False,    -1.801740,    51.352050,  131.00,  50.689707,   0.000000,   110689.61,   102918.33,          0.009830,     11.14,     17.23,              54.34, 0.6602,    True,    True, {"ff_name": "FF_UK003M_20211111_235926_429_0627456.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,  0.103568, 2459530.499653734732,  83.54913,  54.07215,               67.78723,  69.18086,        67.85648,       69.17835,     83.54913,     +54.07215,      83.55006,      +54.04741,  2630862.90,  3131795.60,  5016231.51,      50.991810,       -1.250498,  107102.00,  114422.42,       0.00,             7389.34,   344.78,      0.00,           62733.07,     22.90,     43.78,          89.07,  +2.22,  +1.93
  1,     UK0001,       0,  0.142988, 2459530.499654191080,  82.37381,  54.05972,               67.98624,  69.86719,        68.05403,       69.86473,     82.37381,     +54.05972,      82.37554,      +54.03627,  2632100.44,  3130735.23,  5014943.29,      50.984748,       -1.273491,  106091.13,  112846.91,    2077.36,             9466.70,  -134.23,  52698.08,           62733.07,     21.42,     40.95,          84.46,  +1.18,  +0.92
  2,     UK0001,       0,  0.182252, 2459530.499654645566,  80.87631,  54.02117,               68.27822,  70.74185,        68.32764,       70.74006,     80.87631,     +54.02117,      80.87847,      +54.00479,  2633633.19,  3129421.91,  5013347.76,      50.975991,       -1.301929,  104839.83,  110919.82,    4650.26,            12039.60,  -107.58,  65528.30,           62733.07,     14.72,     28.13,          59.04,  +1.03,  +0.80
  3,     UK0001,       0,  0.221452, 2459530.499655099120,  79.24785,  53.95267,               68.64394,  71.69452,        68.65514,       71.69411,     79.24785,     +53.95267,      79.24923,      +53.94914,  2635247.02,  3128039.11,  5011667.83,      50.966761,       -1.331862,  103523.16,  108920.27,    7359.27,            14748.61,    59.33,  69107.43,           62733.07,      3.12,      5.96,          12.75,  +1.08,  +0.89
  4,     UK0001,       0,  0.260764, 2459530.499655554071,  77.85264,  53.87337,               68.99859,  72.51290,        68.96273,       72.51421,     77.85264,     +53.87337,      77.85206,      +53.88418,  2636588.02,  3126890.08,  5010271.91,      50.959083,       -1.356763,  102429.71,  107282.21,    9610.31,            16999.65,  -239.00,  57260.74,           62367.90,     -9.43,    -18.01,          39.08,  +1.49,  +1.34
  0,     UK0038,       0,  0.018094, 2459530.499652629718,  89.60867,  25.02929,              114.67442,  49.37158,       114.67369,       49.37471,     89.60867,     +25.02929,      89.60697,      +25.03203,  2627579.01,  3134609.37,  5019649.90,      51.010517,       -1.189525,  109786.77,  143537.60,       0.00,             1876.93,   375.29,      0.00,           60244.86,     -7.53,     -2.49,          11.40,  +3.97,  +3.19
  1,     UK0038,       0,  0.058222, 2459530.499653093982,  89.01842,  24.70654,              115.62732,  49.45272,       115.62409,       49.46783,     89.01842,     +24.70654,      89.01016,      +24.71970,  2628905.33,  3133472.93,  5018269.26,      51.002967,       -1.214158,  108702.00,  141933.50,    2226.39,             4103.33,    -0.60,  55482.31,           60244.86,    -35.88,    -11.83,          54.91,  +2.62,  +1.86
  2,     UK0038,       0,  0.098346, 2459530.499653558247,  88.33692,  24.36399,              116.70441,  49.56481,       116.70465,       49.56352,     88.33692,     +24.36399,      88.33804,      +24.36287,  2630372.83,  3132215.51,  5016741.65,      50.994605,       -1.241395,  107502.43,  140179.53,    4689.77,             6566.71,  -139.24,  61394.17,           60244.86,      3.01,      0.99,           4.67,  +2.80,  +2.07
  3,     UK0038,       0,  0.138486, 2459530.499654022977,  87.62454,  23.98760,              117.85388,  49.66141,       117.85516,       49.65388,     87.62454,     +23.98760,      87.62936,      +23.98110,  2631890.65,  3130914.98,  5015161.67,      50.985945,       -1.269560,  106262.46,  138388.73,    7237.61,             9114.55,  -194.46,  63473.83,           60244.86,     17.38,      5.75,          27.28,  +1.82,  +1.11
  4,     UK0038,       0,  0.178670, 2459530.499654488172,  86.71446,  23.50143,              119.33599,  49.77103,       119.33858,       49.75236,     86.71446,     +23.50143,      86.72580,      +23.48541,  2633785.72,  3129291.21,  5013188.98,      50.975120,       -1.304686,  104715.36,  136188.79,   10418.71,            12295.65,   380.72,  79163.33,           64394.91,     42.29,     13.99,          67.46,  +1.97,  +1.30
  5,     UK0038,       0,  0.218842, 2459530.499654952902,  86.04450,  23.09585,              120.47622,  49.80598,       120.47512,       49.81559,     86.04450,     +23.09585,      86.03991,      +23.10406,  2635191.79,  3128086.43,  5011725.33,      50.967077,       -1.330790,  103568.21,  134580.45,   12778.97,            14655.90,   135.85,  58753.82,           64773.15,    -21.49,     -7.10,          34.68,  +2.11,  +1.47
  6,     UK0038,       0,  0.258946, 2459530.499655417167,  85.50014,  22.80860,              121.36743,  49.86392,       121.36799,       49.85810,     85.50014,     +22.80860,      85.50453,      +22.80364,  2636269.98,  3127162.59,  5010602.97,      50.960904,       -1.350847,  102688.97,  133361.02,   14588.85,            16465.79,  -655.00,  45129.67,           62805.94,     12.89,      4.26,          20.99,  +2.97,  +2.34
  0,     UK003M,       0,  0.000000, 2459530.499652471859,  74.08047,  30.02264,              129.89426,  61.90562,       129.89298,       61.91141,     74.08047,     +30.02264,      74.07735,      +30.02780,  2626475.66,  3135554.77,  5020798.44,      51.016792,       -1.169116,  110689.61,  125014.40,       0.00,               24.83,  -303.42,      0.00,           67560.77,    -10.67,     -6.90,          20.97,  +3.48,  +3.00
  1,     UK003M,       0,  0.040508, 2459530.499652940780,  73.00030,  29.54564,              132.11998,  62.01414,       132.12114,       62.00645,     73.00030,     +29.54564,      73.00465,      +29.53884,  2628145.79,  3134123.73,  5019059.91,      51.007292,       -1.200092,  109323.15,  123366.17,    2803.51,             2828.34,  -126.83,  69208.83,           67560.77,     13.93,      9.01,          27.74,  +2.04,  +1.58
  2,     UK003M,       0,  0.081048, 2459530.499653409701,  71.90623,  29.02905,              134.43145,  62.07077,       134.43176,       62.06664,     71.90623,     +29.02905,      71.90884,      +29.02542,  2629823.97,  3132685.80,  5017312.99,      50.997733,       -1.231217,  107951.00,  121752.98,    5620.55,             5645.38,    61.20,  69487.87,           67560.77,      7.38,      4.77,          14.89,  +1.58,  +1.15
  3,     UK003M,       0,  0.121564, 2459530.499653878622,  70.90273,  28.52447,              136.59656,  62.07274,       136.59653,       62.08823,     70.90273,     +28.52447,      70.89465,      +28.53799,  2631352.83,  3131375.81,  5015721.52,      50.989015,       -1.259588,  106701.75,  120321.96,    8186.91,             8211.74,     0.12,  63341.95,           67560.77,    -27.31,    -17.66,          55.76,  +1.35,  +0.95
  4,     UK003M,       0,  0.162132, 2459530.499654348474,  69.76076,  27.96845,              139.05038,  62.06259,       139.05106,       62.07139,     69.76076,     +27.96845,      69.75649,      +27.97609,  2633044.33,  3129926.46,  5013960.73,      50.979357,       -1.290959,  105320.47,  118784.05,   11026.31,            11051.14,   208.71,  69991.15,           67689.84,    -15.32,     -9.91,          31.69,  +1.17,  +0.80
  5,     UK003M,       0,  0.202604, 2459530.499654816929,  68.84160,  27.49887,              141.05095,  62.01257,       141.05290,       62.02607,     68.84160,     +27.49887,      68.83478,      +27.51058,  2634394.18,  3128769.86,  5012555.60,      50.971640,       -1.316028,  104218.85,  117591.15,   13292.19,            13317.02,  -150.00,  55986.30,           66057.31,    -23.33,    -15.09,          48.74,  +1.09,  +0.74
  6,     UK003M,       0,  0.243156, 2459530.499655286316,  67.72787,  26.94736,              143.45888,  61.94040,       143.45709,       61.93236,     67.72787,     +26.94736,      67.73351,      +26.94040,  2635988.69,  3127403.61,  5010895.78,      50.962515,       -1.345611,  102918.33,  116224.23,   15968.77,            15993.60,  -103.20,  66003.70,           65468.22,     13.77,      8.92,          29.12,  +1.34,  +1.01

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.