Orbital Analysis for matched events on 20211015_034418.405_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 102.65° Bg 12.04° Vg 67.60km/s
mass 0.03446g, abs. mag -1.2
best visual mag -0.9
Path Details
------------
start -0.85° 51.53° 111.63km
end   -0.93° 51.57° 96.93km

Orbit Details
-------------
Semimajor axis 4.32A.U., eccentricity 0.79, inclination 158.29°, Period 8.96Y, LA Sun 201.72°, last Perihelion 2012-11-22

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: 2459502.655768581200
Time: 2021-10-15 03:44:18.419175 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK000S
 Convergence angle = 0.27318 deg
 R.A. = 151.58931  Dec = +62.48931 deg
Intersection 2 - Stations: UK0001 and UK003S
 Convergence angle = 38.41729 deg
 R.A. = 105.42870  Dec = +34.71548 deg
Intersection 3 - Stations: UK000S and UK003S
 Convergence angle = 38.20780 deg
 R.A. = 105.10624  Dec = +34.61726 deg

Best intersection: Stations UK0001 and UK003S with Qconv = 38.42 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    762660.07 +/- 62.78 m
 Y =   3973235.01 +/- 32.77 m
 Z =   5058677.49 +/- 89.71 m
 Vx =   -14874.30 +/- 164.92 m/s
 Vy =    54172.79 +/- 678.87 m/s
 Vz =    39211.69 +/- 579.12 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.105859e+03, -7.214528e+02, -4.836751e+03, +2.274702e+04, -1.063205e+04, -3.146890e+04
-7.214528e+02, +1.149652e+03, +1.577578e+03, -1.918394e+03, +9.844760e+02, +3.588302e+03
-4.836751e+03, +1.577578e+03, +8.653451e+03, -2.410803e+04, +1.198379e+04, +4.761534e+04
+2.274702e+04, -1.918394e+03, -2.410803e+04, +1.589740e+05, -7.062143e+04, -2.048242e+05
-1.063205e+04, +9.844760e+02, +1.198379e+04, -7.062143e+04, +3.205843e+04, +9.485474e+04
-3.146890e+04, +3.588302e+03, +4.761534e+04, -2.048242e+05, +9.485474e+04, +3.460598e+05

Timing offsets (from input data):
    UK0001: -0.000019 s
    UK000S: 0.000000 s
    UK003S: -0.000083 s

Reference point on the trajectory:
  Time: 2021-10-15 03:44:18.419175 UTC
  Lon     = +-0.841486 +/- 0.0009 deg
  Lat     = +51.532621 +/- 0.0005 deg
  Lat geo = +51.348294 +/- 0.0005 deg
  Ht      =  112419.11 +/- 76.55 m

  JD dynamic   = 2459502.656569481362 
  LST apparent = 79.1342708378 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 105.35342 +/- 0.3356 deg
  Dec       = +34.91480 +/- 0.2792 deg
  Azimuth   = 121.26038 +/- 0.8596 deg
  Elevation = +64.92448 +/- 0.1419 deg
  Vavg      =  68.06298 +/- 0.5084 km/s
  Vinit     =  68.50907 +/- 0.5339 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 105.62273 +/- 0.3356 deg
  Dec       = +34.85221 +/- 0.2792 deg
  Azimuth   = 120.96088 +/- 0.8596 deg
  Elevation = +64.73344 +/- 0.1419 deg
  Vavg      =  68.17041 +/- 0.5084 km/s
  Vinit     =  68.61650 +/- 0.5339 km/s
Radiant (geocentric, J2000):
  R.A.   = 105.12709 +/- 0.3351 deg
  Dec    = +34.81910 +/- 0.2831 deg
  Vg     =  67.60491 +/- 0.5411 km/s
  Vinf   =  68.50907 +/- 0.5339 km/s
  Zc     =  24.98033 +/- 0.1414 deg
  Zg     =  25.14895 +/- 0.1429 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 102.65382 +/- 0.2572 deg
  Bg     = +12.04349 +/- 0.3040 deg
  Vh     =  39.66893 +/- 0.5482 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  94.59365 +/- 0.5462 deg
  Bh     = +20.83133 +/- 0.4172 deg
  Vh_x   =   2.96935 +/- 0.3864 km/s
  Vh_y   = -36.95673 +/- 0.3867 km/s
  Vh_z   = -14.10699 +/- 0.4601 km/s
Orbit:
  La Sun = 201.716114 +/- -0.0000 deg
  a      =   4.315198 +/- 1.2063 AU
  e      =   0.788781 +/- 0.0432
  i      = 158.290523 +/- 0.3901 deg
  peri   = 216.393220 +/- 2.3287 deg
  node   = 201.717736 +/- 0.0000 deg
  Pi     =  58.110955 +/- 2.3287 deg
  q      =   0.911452 +/- 0.0081 AU
  f      = 323.606476 +/- 2.3288 deg
  M      = 357.191988 +/- 1.0433 deg
  Q      =   7.718944 +/- 2.4051 AU
  n      =   0.109952 +/- 0.0339 deg/day
  T      =   8.963998 +/- 4.1713 years
  Last perihelion JD = 2456254.037746 (2012-11-22 12:54:21.245960) +/- 1525.2369 days
  Tj     =   0.166004 +/- 0.2705
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.985845e-03, +3.579935e-04, -6.619663e+01, +2.348688e-07, -1.047699e-01, -1.654311e-02
q   , +3.579935e-04, +6.865264e-05, -1.175892e+01, +3.831547e-08, -1.981516e-02, -2.689259e-03
Tp  , -6.619663e+01, -1.175892e+01, +2.425121e+06, -7.614391e-03, +3.444128e+03, +5.393962e+02
node, +2.348688e-07, +3.831547e-08, -7.614391e-03, +3.304671e-11, -1.149977e-05, -2.332154e-06
peri, -1.047699e-01, -1.981516e-02, +3.444128e+03, -1.149977e-05, +5.737442e+00, +8.076214e-01
i   , -1.654311e-02, -2.689259e-03, +5.393962e+02, -2.332154e-06, +8.076214e-01, +1.646797e-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: UK000S
  Avg. res. = 6.825e-07 s
  Stddev    = 8.26e-04 s

Begin point on the trajectory:
  Lon =    -0.845980 +/- 0.0009 deg
  Lat =    51.534323 +/- 0.0004 deg
  Ht  = 111625.79 +/- 71.90 m
End point on the trajectory:
  Lon =    -0.930538 +/- 0.0006 deg
  Lat =    51.565898 +/- 0.0003 deg
  Ht  = 96927.78 +/- 41.10 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,   111625.79,    96927.78,          0.017126,      9.94,     42.12,              43.07, 0.4664,    True,    True, {"ff_name": "FF_UK0001_20211015_034411_592_0889856.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   110133.37,    97574.03,          0.014831,      8.52,     36.28,              43.07, 0.4664,    True,    True, {"ff_name": "FF_UK000S_20211015_034418_502_0879872.fits"}
    UK003S,   False,    -2.379340,    51.361330,  169.00,   0.000000,   0.000000,   110376.13,    97807.42,          0.010374,     11.88,     25.00,              28.62, 0.2295,    True,    True, {"ff_name": "FF_UK003S_20211015_034413_917_0888832.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,  0.013750, 2459502.655768740457, 159.36778,  63.69662,               40.47488,  47.57931,        40.50921,       47.56158,    159.36778,     +63.69662,     159.38490,      +63.66845,   762850.24,  3972542.43,  5058176.18,      51.534323,       -0.845980,  111625.79,  150149.12,       0.00,              875.87,   226.50,      0.00,           65656.72,     74.40,    -17.54,         105.01,  +2.48,  +1.60
  1,     UK0001,       0,  0.053938, 2459502.655769205652, 160.77667,  63.83020,               39.93708,  47.05698,        39.93681,       47.05711,    160.77667,     +63.83020,     160.77677,      +63.83042,   763370.95,  3970645.95,  5056803.46,      51.538983,       -0.858463,  109453.58,  148410.44,    2398.36,             3274.23,  -128.39,  59678.48,           65656.72,     -0.57,      0.13,           0.81,  +0.81,  -0.05
  2,     UK0001,       0,  0.094138, 2459502.655769670848, 162.51504,  64.00852,               39.24934,  46.42949,        39.24682,       46.43078,    162.51504,     +64.00852,     162.51439,      +64.01063,   763996.77,  3968366.72,  5055153.69,      51.544586,       -0.873444,  106843.15,  146346.75,    5280.77,             6156.64,    -0.04,  71701.68,           65656.72,     -5.36,      1.26,           7.77,  +0.44,  -0.39
  3,     UK0001,       0,  0.134310, 2459502.655770136043, 164.10936,  64.16504,               38.62250,  45.86265,        38.63223,       45.85771,    164.10936,     +64.16504,     164.11352,      +64.15681,   764551.23,  3966347.34,  5053692.01,      51.549553,       -0.886750,  104530.52,  144541.29,    7834.56,             8710.43,  -198.40,  63571.37,           65656.72,     20.58,     -4.85,          30.17,  -0.11,  -0.91
  4,     UK0001,       0,  0.174534, 2459502.655770601705, 166.12884,  64.32643,               37.86803,  45.14407,        37.88292,       45.13656,    166.12884,     +64.32643,     166.13421,      +64.31367,   765225.35,  3963892.16,  5051914.89,      51.555594,       -0.902908,  101719.03,  142378.38,   10939.47,            11815.34,   150.80,  77190.55,           67958.64,     31.23,     -7.36,          46.49,  -0.24,  -1.01
  5,     UK0001,       0,  0.214726, 2459502.655771066900, 167.98815,  64.46164,               37.18130,  44.49089,        37.21462,       44.47419,    167.98815,     +64.46164,     167.99761,      +64.43282,   765823.58,  3961713.38,  5050337.83,      51.560958,       -0.917281,   99224.26,  140488.13,   13694.84,            14570.72,   152.66,  68555.33,           68701.28,     69.33,    -16.38,         104.59,  -0.46,  -1.20
  6,     UK0001,       0,  0.254930, 2459502.655771532096, 169.76754,  64.53460,               36.58451,  43.85138,        36.59682,       43.84525,    169.76754,     +64.53460,     169.77109,      +64.52386,   766374.30,  3959707.63,  5048886.01,      51.565898,       -0.930538,   96927.78,  138773.34,   16231.39,            17107.26,   -65.13,  63091.94,           68365.34,     25.44,     -6.00,          38.85,  +0.10,  -0.61
  0,     UK000S,       1,  0.000000, 2459502.655768581200, 158.88888,  63.61469,               40.70695,  47.74499,        40.71556,       47.74053,    158.88888,     +63.61469,     158.89325,      +63.60765,   762661.88,  3973228.42,  5058672.71,      51.532637,       -0.841471,  112411.55,  150782.43,       0.00,                8.34,   300.94,      0.00,           66464.25,     18.72,     -4.40,          26.30,  +2.94,  +2.05
  1,     UK000S,       0,  0.040564, 2459502.655769050587, 160.34004,  63.77331,               40.12524,  47.21192,        40.11631,       47.21652,    160.34004,     +63.77331,     160.33600,      +63.78069,   763207.99,  3971239.46,  5057233.06,      51.537524,       -0.854552,  110133.37,  148952.69,    2515.31,             2523.65,    37.24,  62008.36,           66464.25,    -19.27,      4.52,          27.40,  +0.69,  -0.18
  2,     UK000S,       0,  0.081208, 2459502.655769520905, 162.00285,  63.94876,               39.46221,  46.61006,        39.44954,       46.61653,    162.00285,     +63.94876,     161.99779,      +63.95934,   763813.35,  3969034.73,  5055637.21,      51.542944,       -0.869047,  107608.21,  146948.87,    5303.50,             5311.84,    40.95,  68600.36,           66464.25,    -27.08,      6.36,          39.04,  +0.03,  -0.81
  3,     UK000S,       0,  0.121864, 2459502.655769991688, 163.72367,  64.09647,               38.81466,  45.98576,        38.78477,       46.00093,    163.72367,     +64.09647,     163.71286,      +64.12170,   764414.12,  3966846.72,  5054053.47,      51.548324,       -0.883448,  105102.40,  144985.98,    8070.55,             8078.89,    22.70,  68060.08,           66464.25,    -63.35,     14.86,          92.57,  -0.32,  -1.13
  4,     UK000S,       0,  0.162524, 2459502.655770462472, 165.45760,  64.25218,               38.14625,  45.37200,        38.13205,       45.37917,    165.45760,     +64.25218,     165.45360,      +64.26429,   765001.40,  3964707.80,  5052505.26,      51.553587,       -0.897544,  102653.01,  143092.88,   10775.51,            10783.86,   -57.91,  66526.40,           66707.51,    -29.85,      7.02,          44.20,  -0.56,  -1.34
  5,     UK000S,       0,  0.203236, 2459502.655770933256, 167.34534,  64.38063,               37.46253,  44.69941,        37.44705,       44.70718,    167.34534,     +64.38063,     167.34194,      +64.39397,   765615.49,  3962471.26,  5050886.40,      51.559092,       -0.912290,  100092.03,  141142.09,   13603.92,            13612.26,   -18.65,  69473.56,           67172.91,    -32.28,      7.59,          48.47,  -0.86,  -1.61
  6,     UK000S,       0,  0.243952, 2459502.655771404505, 169.26843,  64.48799,               36.78489,  44.01716,        36.77084,       44.02416,    169.26843,     +64.48799,     169.26641,      +64.50021,   766219.32,  3960272.09,  5049294.58,      51.564507,       -0.926807,   97574.03,  139253.33,   16385.09,            16393.43,   -26.90,  68306.45,           67460.64,    -29.08,      6.84,          44.25,  -0.48,  -1.20
  0,     UK003S,       0,  0.037519, 2459502.655769016594, 141.89942,  39.46867,               78.98168,  44.87171,        78.96547,       44.87968,    141.89942,     +39.46867,     141.90044,      +39.48264,   763149.80,  3971451.41,  5057386.47,      51.537003,       -0.853163,  110376.13,  154868.50,       0.00,             2255.62,   -22.17,      0.00,           68850.81,    -34.12,    -16.25,          50.33,  +2.35,  +1.40
  1,     UK003S,       0,  0.077887, 2459502.655769483652, 142.55245,  39.47952,               78.53808,  44.47839,        78.56100,       44.46715,    142.55245,     +39.47952,     142.55140,      +39.45971,   763746.72,  3969277.40,  5055812.86,      51.542347,       -0.867456,  107886.14,  152467.74,    2749.34,             5004.95,   -38.41,  68106.80,           68850.81,     47.70,     22.64,          71.43,  +1.38,  +0.46
  2,     UK003S,       0,  0.118299, 2459502.655769951176, 143.24429,  39.43584,               78.13109,  44.02865,        78.13642,       44.02605,    143.24429,     +39.43584,     143.24442,      +39.43122,   764362.62,  3967034.26,  5054189.22,      51.547863,       -0.882213,  105317.17,  150003.59,    5586.10,             7841.72,    29.77,  70196.22,           68850.81,     10.95,      5.20,          16.67,  +0.91,  +0.03
  3,     UK003S,       0,  0.158707, 2459502.655770419165, 143.93374,  39.39297,               77.72586,  43.58141,        77.71916,       43.58467,    143.93374,     +39.39297,     143.93493,      +39.39880,   764957.44,  3964867.90,  5052621.15,      51.553193,       -0.896485,  102836.35,  147636.36,    8325.76,            10581.38,     1.11,  67799.91,           68850.81,    -13.60,     -6.47,          21.04,  +0.46,  -0.39
  4,     UK003S,       0,  0.199131, 2459502.655770886689, 144.65306,  39.36097,               77.29042,  43.12322,        77.29079,       43.12304,    144.65306,     +39.36097,     144.65386,      +39.36064,   765557.75,  3962681.55,  5051038.61,      51.558574,       -0.910902,  100332.81,  145260.80,   11090.71,            13346.33,    -3.35,  68398.70,           68700.07,      0.76,      0.36,           1.19,  +0.09,  -0.72
  5,     UK003S,       0,  0.239571, 2459502.655771355145, 145.40151,  39.31706,               76.85007,  42.64064,        76.85111,       42.64014,    145.40151,     +39.31706,     145.40241,      +39.31615,   766163.35,  3960475.93,  5049442.13,      51.564005,       -0.925459,   97807.42,  142878.72,   13880.03,            16135.65,    15.46,  68974.17,           68696.21,      2.06,      0.98,           3.29,  +0.28,  -0.49
  6,     UK003S,       1,  0.279903, 2459502.655771821737, 145.99365,  39.31175,               76.47125,  42.27759,        76.50918,       42.25928,    145.99365,     +39.31175,     145.99089,      +39.27838,   766626.68,  3958788.49,  5048220.71,      51.568162,       -0.936645,   95875.44,  141064.51,   16014.03,            18269.65,  -613.64,  52910.99,           67007.05,     74.56,     35.32,         120.64,  +4.85,  +4.10

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.