Orbital Analysis for matched events on 20211103_234129.163_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 59.15° Bg 10.94° Vg 27.59km/s
mass 0.03066g, abs. mag 0.3
best visual mag 1.1
Path Details
------------
start -2.91° 50.45° 87.46km
end   -2.93° 50.47° 81.09km

Orbit Details
-------------
Semimajor axis 1.49A.U., eccentricity 0.79, inclination 13.49°, Period 1.81Y, LA Sun 221.48°, last Perihelion 2020-02-25

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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: 2459522.487143094651
Time: 2021-11-03 23:41:29.163378 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000T and UK003E
 Convergence angle = 64.13265 deg
 R.A. =  55.16660  Dec = +30.26597 deg
Intersection 2 - Stations: UK000T and UK003M
 Convergence angle = 62.83004 deg
 R.A. =  55.33121  Dec = +32.41207 deg
Intersection 3 - Stations: UK003E and UK003M
 Convergence angle = 2.32376 deg
 R.A. =   5.46199  Dec =  +1.01437 deg

Best intersection: Stations UK000T and UK003E with Qconv = 64.13 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3341073.39 +/- 42.25 m
 Y =   2419431.26 +/- 39.03 m
 Z =   4962254.56 +/- 15.73 m
 Vx =    14907.88 +/- 222.23 m/s
 Vy =    20529.23 +/- 168.22 m/s
 Vz =    15519.50 +/- 261.97 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.894027e+03, +1.511625e+03, +5.636761e+01, +9.062835e+03, +4.859105e+03, -3.990439e+03
+1.511625e+03, +1.628302e+03, +7.180760e+01, +6.680671e+03, +4.869763e+03, -4.314479e+03
+5.636761e+01, +7.180760e+01, +2.672425e+02, -7.018472e+02, -5.092165e+02, +5.242474e+02
+9.062835e+03, +6.680671e+03, -7.018472e+02, +5.220966e+04, +2.696231e+04, -2.245217e+04
+4.859105e+03, +4.869763e+03, -5.092165e+02, +2.696231e+04, +1.992051e+04, -1.808943e+04
-3.990439e+03, -4.314479e+03, +5.242474e+02, -2.245217e+04, -1.808943e+04, +1.676398e+04

Timing offsets (from input data):
    UK000T: 0.000000 s
    UK002D: 0.000000 s
    UK003E: -0.000263 s
    UK003M: -0.000230 s

Reference point on the trajectory:
  Time: 2021-11-03 23:41:29.163378 UTC
  Lon     = +-2.907008 +/- 0.0002 deg
  Lat     = +50.449939 +/- 0.0004 deg
  Lat geo = +50.263430 +/- 0.0004 deg
  Ht      =   87420.72 +/- 38.17 m

  JD dynamic   = 2459522.487943835557 
  LST apparent = 35.9100975490 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  54.01367 +/- 0.2737 deg
  Dec       = +31.45409 +/- 0.4278 deg
  Azimuth   = 137.85846 +/- 0.9674 deg
  Elevation = +66.72986 +/- 0.3035 deg
  Vavg      =  28.74344 +/- 0.1821 km/s
  Vinit     =  29.74137 +/- 0.1398 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.65696 +/- 0.2737 deg
  Dec       = +31.35877 +/- 0.4278 deg
  Azimuth   = 136.78932 +/- 0.9674 deg
  Elevation = +66.36997 +/- 0.3035 deg
  Vavg      =  28.82458 +/- 0.1821 km/s
  Vinit     =  29.82252 +/- 0.1398 km/s
Radiant (geocentric, J2000):
  R.A.   =  54.19356 +/- 0.2866 deg
  Dec    = +30.62167 +/- 0.4366 deg
  Vg     =  27.58644 +/- 0.1508 km/s
  Vinf   =  29.74137 +/- 0.1398 km/s
  Zc     =  23.13216 +/- 0.3018 deg
  Zg     =  24.01368 +/- 0.3070 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  59.15087 +/- 0.3233 deg
  Bg     = +10.93809 +/- 0.3882 deg
  Vh     =  34.52360 +/- 0.2021 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   1.73825 +/- 0.1292 deg
  Bh     =  +8.72076 +/- 0.3074 deg
  Vh_x   = -34.10877 +/- 0.2209 km/s
  Vh_y   =  -1.03511 +/- 0.0827 km/s
  Vh_z   =  -5.23443 +/- 0.1587 km/s
Orbit:
  La Sun = 221.475292 +/- 0.0000 deg
  a      =   1.486346 +/- 0.0344 AU
  e      =   0.790231 +/- 0.0043
  i      =  13.493761 +/- 0.4291 deg
  peri   = 303.599728 +/- 0.4989 deg
  node   = 221.472809 +/- 0.0001 deg
  Pi     = 165.072537 +/- 0.4990 deg
  q      =   0.311790 +/- 0.0017 AU
  f      = 236.403187 +/- 0.4990 deg
  M      = 335.964831 +/- 0.9610 deg
  Q      =   2.660903 +/- 0.0679 AU
  n      =   0.543907 +/- 0.0191 deg/day
  T      =   1.812094 +/- 0.0628 years
  Last perihelion JD = 2458904.799004 (2020-02-25 07:10:33.917369) +/- 23.1663 days
  Tj     =   4.138293 +/- 0.0791
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.998005e-05, +2.937321e-06, -1.037177e-01, -3.816435e-07, -1.978738e-03, -1.801737e-03
q   , +2.937321e-06, +3.122372e-06, -2.417612e-02, +7.812217e-09, -7.140469e-04, +3.639368e-05
Tp  , -1.037177e-01, -2.417612e-02, +5.688525e+02, +1.770380e-03, +1.167120e+01, +8.344723e+00
node, -3.816435e-07, +7.812217e-09, +1.770380e-03, +8.853367e-09, +2.773490e-05, +4.175054e-05
peri, -1.978738e-03, -7.140469e-04, +1.167120e+01, +2.773490e-05, +2.625431e-01, +1.310943e-01
i   , -1.801737e-03, +3.639368e-05, +8.344723e+00, +4.175054e-05, +1.310943e-01, +1.971924e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.829179
 a2 = 22.274336

Mean time residuals from time vs. length:
  Station with reference time: UK000T
  Avg. res. = 5.681e-06 s
  Stddev    = 2.38e-03 s

Begin point on the trajectory:
  Lon =    -2.906852 +/- 0.0002 deg
  Lat =    50.449829 +/- 0.0004 deg
  Ht  = 87459.64 +/- 34.01 m
End point on the trajectory:
  Lon =    -2.933444 +/- 0.0002 deg
  Lat =    50.467868 +/- 0.0003 deg
  Ht  = 81085.78 +/- 27.72 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
    UK000T,   False,    -3.557111,    51.483925,   37.50,   0.946821,  20.557546,    87459.64,    81085.78,          0.008530,     13.04,     18.19,              32.90, 0.2950,    True,    True, {"ff_name": "FF_UK000T_20211103_234128_222_0563968.fits"}
    UK002D,    True,    -1.801980,    51.351940,  129.00,  44.676454,   0.000000,    85621.27,    82278.48,          0.049867,       nan,       nan,              54.62, 0.0000,    True,    True, {"ff_name": "FF_UK002D_20211103_234119_668_0583680.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,    86982.54,    81883.10,          0.014996,     39.68,      5.78,              54.62, 0.6648,    True,    True, {"ff_name": "FF_UK003E_20211103_234128_488_0584192.fits"}
    UK003M,   False,    -1.801740,    51.352050,  131.00,   0.146358,  30.089889,    86184.51,    81759.46,          0.013775,     36.39,      5.28,              54.63, 0.6649,    True,    True, {"ff_name": "FF_UK003M_20211103_234120_616_0580864.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,     UK000T,       0,  0.000000, 2459522.487143094651,  53.18427,  -1.89830,              158.08757,  34.49022,       158.09116,       34.49099,     53.18427,      -1.89830,      53.18122,       -1.89823,  3341094.62,  2419460.50,  4962276.66,      50.449829,       -2.906852,   87459.64,  152226.49,       0.00,               42.36,   219.55,      0.00,           28699.28,     -6.60,     -4.73,          10.99,  +4.06,  +3.15
  1,     UK000T,       0,  0.040312, 2459522.487143561244,  53.15269,  -2.12455,              158.18839,  34.27747,       158.16613,       34.27264,     53.15269,      -2.12455,      53.17188,       -2.12499,  3340548.75,  2418708.79,  4961708.39,      50.452658,       -2.911031,   86459.20,  151314.50,    1089.02,             1046.66,    24.92,  27014.90,           28699.28,     40.82,     29.26,          68.47,  +2.27,  +1.37
  2,     UK000T,       0,  0.080632, 2459522.487144027837,  53.16019,  -2.36196,              158.24594,  34.04476,       158.24390,       34.04432,     53.16019,      -2.36196,      53.16227,       -2.36200,  3339985.12,  2417932.63,  4961121.64,      50.455580,       -2.915342,   85426.23,  150375.48,    2213.47,             2171.11,   -49.80,  27888.14,           28699.28,      3.71,      2.66,           6.27,  +1.84,  +0.95
  3,     UK000T,       0,  0.121004, 2459522.487144495361,  53.14473,  -2.63313,              158.33938,  33.78445,       158.33175,       33.78280,     53.14473,      -2.63313,      53.15180,       -2.63329,  3339348.47,  2417055.93,  4960458.88,      50.458882,       -2.920192,   84259.48,  149318.41,    3483.58,             3441.22,    19.59,  31460.09,           28699.28,     13.89,      9.96,          23.61,  +1.65,  +0.78
  4,     UK000T,       0,  0.161348, 2459522.487144961953,  53.14190,  -2.88593,              158.41247,  33.53907,       158.41348,       33.53929,     53.14190,      -2.88593,      53.14170,       -2.88591,  3338763.62,  2416250.54,  4959850.03,      50.461916,       -2.924663,   83187.65,  148350.03,    4650.37,             4608.00,   -13.51,  28920.91,           28992.88,     -1.83,     -1.31,           3.13,  +1.36,  +0.50
  5,     UK000T,       0,  0.201680, 2459522.487145429011,  53.13128,  -3.13011,              158.49183,  33.30380,       158.49229,       33.30390,     53.13128,      -3.13011,      53.13174,       -3.13010,  3338205.45,  2415481.90,  4959268.96,      50.464812,       -2.928940,   82164.74,  147428.38,    5763.92,             5721.56,   -99.49,  27609.74,           28879.17,     -0.81,     -0.58,           1.40,  +1.53,  +0.69
  6,     UK000T,       0,  0.242036, 2459522.487145896070,  53.11074,  -3.39078,              158.58676,  33.05470,       158.57573,       33.05230,     53.11074,      -3.39078,      53.12132,       -3.39100,  3337616.69,  2414671.13,  4958656.04,      50.467868,       -2.933444,   81085.78,  146459.35,    6938.52,             6896.15,  -125.14,  29105.78,           28862.85,     19.85,     14.23,          34.40,  +2.56,  +1.73
  0,     UK002D,       1,  0.078511, 2459522.487144003157,   5.61477,   1.10224,              218.51721,  33.22959,       218.54105,       33.24037,      5.61477,      +1.10224,       5.60092,       +1.11993,  3340091.54,  2418079.18,  4961232.43,      50.455029,       -2.914551,   85621.27,  153638.93,       0.00,             1958.80,  -199.02,      0.00,           29755.81,     -8.78,    -60.14,          81.60,  +2.83,  +1.90
  1,     UK002D,       1,  0.118827, 2459522.487144469749,   5.27849,   0.75411,              218.72458,  32.77792,       218.81551,       32.81897,      5.27849,      +0.75411,       5.22469,       +0.82179,  3339311.48,  2417004.98,  4960420.36,      50.459074,       -2.920455,   84191.68,  152753.50,    1556.23,             3515.03,   158.16,  38600.89,           29755.81,    -33.68,   -228.85,         312.35,  +5.78,  +4.86
  2,     UK002D,       1,  0.158979, 2459522.487144934479,   4.99185,   0.58886,              218.96089,  32.51360,       219.00174,       32.53204,      4.99185,      +0.58886,       4.96808,       +0.61935,  3338786.98,  2416282.70,  4959874.34,      50.461795,       -2.924481,   83230.46,  152166.24,    2602.62,             4561.41,    10.36,  26060.51,           29755.81,    -15.02,   -102.66,         140.64,  +1.37,  +0.46
  3,     UK002D,       1,  0.199155, 2459522.487145399675,   4.72331,   0.40211,              219.16615,  32.23623,       219.18646,       32.24539,      4.72331,      +0.40211,       4.71197,       +0.41730,  3338267.52,  2415567.37,  4959333.57,      50.464490,       -2.928472,   82278.48,  151589.60,    3638.94,             5597.74,  -148.20,  25794.67,           29755.81,     -7.43,    -50.97,          70.08,  +1.90,  +1.00
  0,     UK003E,       0,  0.015080, 2459522.487143272068,   5.97184,   1.38277,              218.25331,  33.62663,       218.27677,       33.63726,      5.97184,      +1.38277,       5.95800,       +1.40013,  3340834.30,  2419102.01,  4962005.66,      50.451178,       -2.908828,   86982.54,  154487.44,       0.00,              476.98,   205.67,      0.00,           28229.97,     -8.67,    -59.34,          80.07,  +4.11,  +3.17
  1,     UK003E,       0,  0.055320, 2459522.487143738195,   5.71059,   1.22412,              218.46827,  33.37913,       218.45281,       33.37213,      5.71059,      +1.22412,       5.72000,       +1.21265,  3340337.27,  2418417.57,  4961488.24,      50.453755,       -2.912649,   86071.63,  153917.76,     991.58,             1468.56,     0.46,  24641.53,           28229.97,      5.68,     39.05,          52.87,  +2.48,  +1.54
  2,     UK003E,       0,  0.095600, 2459522.487144204322,   5.46084,   1.00157,              218.63966,  33.07693,       218.64536,       33.07951,      5.46084,      +1.00157,       5.45785,       +1.00581,  3339793.18,  2417668.32,  4960921.83,      50.456576,       -2.916817,   85074.47,  153298.53,    2077.04,             2554.03,  -112.06,  26948.10,           28229.97,     -2.10,    -14.38,          19.56,  +2.50,  +1.57
  3,     UK003E,       0,  0.135944, 2459522.487144670915,   5.13138,   0.74253,              218.88010,  32.70970,       218.88451,       32.71169,      5.13138,      +0.74253,       5.12931,       +0.74583,  3339115.49,  2416735.09,  4960216.34,      50.460091,       -2.921969,   83832.50,  152533.08,    3429.04,             3906.02,    40.05,  33511.71,           28229.97,     -1.62,    -11.11,          15.18,  +2.42,  +1.50
  4,     UK003E,       0,  0.176240, 2459522.487145137507,   4.82654,   0.53669,              219.11665,  32.40061,       219.09247,       32.38969,      4.82654,      +0.53669,       4.84175,       +0.51860,  3338528.76,  2415927.12,  4959605.53,      50.463135,       -2.926455,   82757.24,  151877.83,    4599.58,             5076.56,    12.13,  29048.48,           28879.71,      8.82,     60.76,          83.38,  +1.18,  +0.27
  5,     UK003E,       0,  0.216492, 2459522.487145603169,   4.60920,   0.32663,              219.25478,  32.12183,       219.26252,       32.12532,      4.60920,      +0.32663,       4.60546,       +0.33243,  3338051.77,  2415270.27,  4959108.98,      50.465610,       -2.930134,   81883.10,  151350.92,    5551.17,             6028.16,  -233.42,  23640.89,           28317.65,     -2.83,    -19.43,          26.75,  +2.88,  +1.98
  0,     UK003M,       0,  0.055651, 2459522.487143741455,   5.74240,   1.23571,              218.43882,  33.40199,       218.43502,       33.40026,      5.74240,      +1.23571,       5.74489,       +1.23290,  3340398.86,  2418502.39,  4961552.36,      50.453435,       -2.912197,   86184.51,  154005.26,       0.00,             1345.68,  -132.28,      0.00,           29755.74,      1.40,      9.60,          13.00,  +2.40,  +1.46
  1,     UK003M,       0,  0.095803, 2459522.487144206185,   5.36403,   0.96709,              218.73015,  33.00721,       218.70089,       32.99397,      5.36403,      +0.96709,       5.38185,       +0.94532,  3339642.82,  2417461.26,  4960765.30,      50.457356,       -2.917923,   84798.92,  153143.11,    1508.32,             2854.00,   181.87,  37565.22,           29755.74,     10.70,     73.75,         100.37,  +2.74,  +1.81
  2,     UK003M,       0,  0.135935, 2459522.487144670449,   5.12978,   0.75643,              218.88857,  32.72168,       218.88083,       32.71818,      5.12978,      +0.75643,       5.13497,       +0.75067,  3339135.92,  2416763.23,  4960237.61,      50.459985,       -2.921819,   83869.94,  152572.75,    2519.58,             3865.26,    -0.45,  25198.47,           29755.74,      2.83,     19.47,          26.60,  +2.31,  +1.39
  3,     UK003M,       0,  0.176075, 2459522.487145135179,   4.86274,   0.52648,              219.07273,  32.40530,       219.08073,       32.40892,      4.86274,      +0.52648,       4.85868,       +0.53246,  3338572.19,  2415986.93,  4959650.75,      50.462909,       -2.926134,   82836.83,  151943.17,    3644.24,             4989.92,   -69.62,  28018.23,           29755.74,     -2.93,    -20.11,          27.59,  +1.06,  +0.15
  4,     UK003M,       0,  0.216211, 2459522.487145599909,   4.57159,   0.29773,              219.28231,  32.08024,       219.28931,       32.08340,      4.57159,      +0.29773,       4.56830,       +0.30298,  3337984.30,  2415177.36,  4959038.74,      50.465960,       -2.930630,   81759.46,  151292.50,    4817.08,             6162.76,   -90.47,  29221.79,           29323.29,     -2.56,    -17.55,          24.18,  +2.48,  +1.58

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.