Orbital Analysis for matched events on 20210929_032836.533_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 74.45° Bg 1.38° Vg 59.61km/s
mass 0.01100g, abs. mag -0.2
Path Details
------------
start -2.59° 50.44° 98.68km
end   -2.63° 50.47° 90.17km

Orbit Details
-------------
Semimajor axis 1.45A.U., eccentricity 0.70, inclination 176.79°, Period 1.75Y, LA Sun 185.92°, last Perihelion 2020-02-16

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: 2459486.644867282361
Time: 2021-09-29 03:28:36.533196 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK002D
 Convergence angle = 30.91746 deg
 R.A. =  71.21957  Dec = +24.16584 deg
Intersection 2 - Stations: UK000H and UK0038
 Convergence angle = 46.14113 deg
 R.A. =  73.70048  Dec = +23.91121 deg
Intersection 3 - Stations: UK000H and UK003Z
 Convergence angle = 9.94687 deg
 R.A. =  69.80696  Dec = +24.29252 deg
Intersection 4 - Stations: UK002D and UK0038
 Convergence angle = 15.28753 deg
 R.A. =  77.55419  Dec = +26.67422 deg
Intersection 5 - Stations: UK002D and UK003Z
 Convergence angle = 20.97421 deg
 R.A. =  71.84124  Dec = +24.42866 deg
Intersection 6 - Stations: UK0038 and UK003Z
 Convergence angle = 36.21776 deg
 R.A. =  74.59003  Dec = +24.56904 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 46.14 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2210101.25 +/- 113.97 m
 Y =   3492951.64 +/- 113.67 m
 Z =   4969961.91 +/- 60.74 m
 Vx =    15998.11 +/- 1165.90 m/s
 Vy =    52953.08 +/- 1270.00 m/s
 Vz =    24832.24 +/- 597.43 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.382977e+04, +1.051342e+04, +6.403524e+03, +1.207964e+05, +6.962387e+04, +5.241524e+04
+1.051342e+04, +1.375113e+04, +6.495298e+03, +5.212919e+04, +5.291868e+04, +2.891777e+04
+6.403524e+03, +6.495298e+03, +3.917257e+03, +4.884672e+04, +3.538874e+04, +2.655404e+04
+1.207964e+05, +5.212919e+04, +4.884672e+04, +1.498720e+06, +7.123466e+05, +6.333103e+05
+6.962387e+04, +5.291868e+04, +3.538874e+04, +7.123466e+05, +4.574987e+05, +3.396123e+05
+5.241524e+04, +2.891777e+04, +2.655404e+04, +6.333103e+05, +3.396123e+05, +3.080202e+05

Timing offsets (from input data):
    UK000H: -0.000894 s
    UK002D: -0.000633 s
    UK0038: 0.000000 s
    UK003Z: -0.000881 s

Reference point on the trajectory:
  Time: 2021-09-29 03:28:36.533196 UTC
  Lon     = +-2.593052 +/- 0.0009 deg
  Lat     = +50.436486 +/- 0.0007 deg
  Lat geo = +50.250285 +/- 0.0007 deg
  Ht      =   98672.26 +/- 138.98 m

  JD dynamic   = 2459486.645668023266 
  LST apparent = 57.6771655100 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  73.18946 +/- 0.9709 deg
  Dec       = +24.17570 +/- 0.1610 deg
  Azimuth   = 149.65822 +/- 1.6917 deg
  Elevation = +61.11878 +/- 0.3947 deg
  Vavg      =  58.46241 +/- 0.9958 km/s
  Vinit     =  60.63504 +/- 1.0794 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  73.48985 +/- 0.9709 deg
  Dec       = +24.14425 +/- 0.1610 deg
  Azimuth   = 149.15195 +/- 1.6917 deg
  Elevation = +60.99200 +/- 0.3947 deg
  Vavg      =  58.53666 +/- 0.9958 km/s
  Vinit     =  60.70929 +/- 1.0794 km/s
Radiant (geocentric, J2000):
  R.A.   =  72.95691 +/- 0.9794 deg
  Dec    = +23.90668 +/- 0.1656 deg
  Vg     =  59.60945 +/- 1.0971 km/s
  Vinf   =  60.63504 +/- 1.0794 km/s
  Zc     =  28.72067 +/- 0.3971 deg
  Zg     =  28.97090 +/- 0.4078 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  74.45329 +/- 0.8779 deg
  Bg     =  +1.38406 +/- 0.2428 deg
  Vh     =  34.07264 +/- 1.3259 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  55.01793 +/- 0.9220 deg
  Bh     =  +2.42569 +/- 0.3766 deg
  Vh_x   = -19.51702 +/- 1.1837 km/s
  Vh_y   = -27.89177 +/- 0.8121 km/s
  Vh_z   =  -1.44208 +/- 0.2808 km/s
Orbit:
  La Sun = 185.918394 +/- nan deg
  a      =   1.454054 +/- 0.3926 AU
  e      =   0.695194 +/- 0.0427
  i      = 176.792655 +/- 0.5414 deg
  peri   = 291.068721 +/- 4.2516 deg
  node   = 185.909078 +/- 0.0017 deg
  Pi     = 116.977799 +/- 4.2504 deg
  q      =   0.443204 +/- 0.0148 AU
  f      = 248.920069 +/- 4.2527 deg
  M      = 332.199405 +/- 6.3084 deg
  Q      =   2.464904 +/- 0.7729 AU
  n      =   0.562126 +/- 0.1169 deg/day
  T      =   1.753361 +/- 0.8356 years
  Last perihelion JD = 2458895.675637 (2020-02-16 04:12:55.057983) +/- 307.0088 days
  Tj     =   2.820425 +/- 0.5762
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.949215e-03, +5.213986e-04, -1.345737e+01, +1.051902e-06, -3.231594e-03, -3.360759e-04
q   , +5.213986e-04, +2.351010e-04, -4.048466e+00, +2.111384e-07, -1.089726e-03, -7.166449e-05
Tp  , -1.345737e+01, -4.048466e+00, +9.977086e+04, -6.576796e-03, +2.307626e+01, +2.141703e+00
node, +1.051902e-06, +2.111384e-07, -6.576796e-03, +9.764608e-10, -1.600815e-06, -3.029964e-07
peri, -3.231594e-03, -1.089726e-03, +2.307626e+01, -1.600815e-06, +5.907260e-03, +5.191190e-04
i   , -3.360759e-04, -7.166449e-05, +2.141703e+00, -3.029964e-07, +5.191190e-04, +9.638658e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.117004
 a2 = 48.879932

Mean time residuals from time vs. length:
  Station with reference time: UK0038
  Avg. res. = 2.915e-06 s
  Stddev    = 1.71e-03 s

Begin point on the trajectory:
  Lon =    -2.593026 +/- 0.0008 deg
  Lat =    50.436457 +/- 0.0006 deg
  Ht  = 98679.08 +/- 115.26 m
End point on the trajectory:
  Lon =    -2.626708 +/- 0.0009 deg
  Lat =    50.472356 +/- 0.0004 deg
  Ht  = 90172.28 +/- 94.66 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,    98302.73,    90172.28,          0.014813,     30.93,      5.74,              41.72, 0.4428,    True,    True, {"ff_name": "FF_UK000H_20210929_032826_671_0815616.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,    96734.03,    90519.97,          0.023393,     46.87,     37.04,              40.38, 0.4197,    True,    True, {"ff_name": "FF_UK002D_20210929_032831_433_0815104.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,  86.046540,   0.000001,    98679.08,    90274.89,          0.020370,     29.36,     39.23,              28.49, 0.2275,    True,    True, {"ff_name": "FF_UK0038_20210929_032833_901_0812800.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   0.000000,   0.000000,    97179.00,    90998.26,          0.033635,     72.90,     25.64,              44.17, 0.4856,    True,    True, {"ff_name": "FF_UK003Z_20210929_032829_658_0817408.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,     UK000H,       0,  0.004022, 2459486.644867495168,  27.56358,  21.93446,              231.34567,  52.37367,       231.37311,       52.39080,     27.56358,     +21.93446,      27.55800,      +21.95787,  2209989.91,  3492583.08,  4969789.08,      50.438044,       -2.594556,   98302.73,  123508.56,       0.00,              422.02,   171.19,      0.00,           59622.81,     -9.43,    -50.78,          86.25,  +3.29,  +2.83
  1,     UK000H,       0,  0.044334, 2459486.644867961761,  26.83057,  21.79706,              232.16300,  51.89413,       232.17740,       51.90302,     26.83057,     +21.79706,      26.82771,      +21.80933,  2209410.50,  3490665.26,  4968889.72,      50.446150,       -2.602157,   96379.92,  121887.54,    2196.03,             2618.06,   -77.09,  54475.92,           59622.81,     -4.87,    -26.29,          45.25,  +1.21,  +0.78
  2,     UK000H,       0,  0.084686, 2459486.644868428819,  26.03369,  21.62941,              233.02118,  51.35341,       233.03735,       51.36328,     26.03369,     +21.62941,      26.03056,      +21.64318,  2208793.48,  3488622.96,  4967931.98,      50.454788,       -2.610247,   94332.47,  120181.09,    4534.62,             4956.65,  -185.25,  57954.72,           59622.81,     -5.40,    -29.12,          50.84,  +0.85,  +0.45
  3,     UK000H,       0,  0.125098, 2459486.644868896808,  25.08268,  21.43867,              234.03445,  50.71082,       234.03619,       50.71187,     25.08268,     +21.43867,      25.08271,      +21.44015,  2208079.39,  3486259.35,  4966823.58,      50.464790,       -2.619594,   91963.16,  118232.37,    7241.12,             7663.14,    70.86,  66972.54,           59622.81,     -0.57,     -3.10,           5.49,  +0.94,  +0.58
  4,     UK000H,       0,  0.165434, 2459486.644869363401,  24.34855,  21.26581,              234.78082,  50.18975,       234.79543,       50.19846,     24.34855,     +21.26581,      24.34594,      +21.27825,  2207539.60,  3484472.65,  4965985.71,      50.472356,       -2.626708,   90172.28,  116780.90,    9287.02,             9709.05,  -329.01,  50721.55,           58523.63,     -4.75,    -25.62,          46.02,  +5.46,  +5.12
  0,     UK002D,       0,  0.039316, 2459486.644867894705,  36.02034,   4.11288,              209.42745,  39.17856,       209.41709,       39.17201,     36.02034,      +4.11288,      36.02602,       +4.10418,  2209517.21,  3491018.46,  4969055.35,      50.444657,       -2.600763,   96734.03,  151261.65,       0.00,             2213.62,  -177.27,      0.00,           58500.28,     16.93,     21.47,          37.29,  +2.07,  +1.17
  1,     UK002D,       0,  0.079656, 2459486.644868361764,  35.42869,   3.72721,              209.99475,  38.62878,       209.98967,       38.62559,     35.42869,      +3.72721,      35.43167,       +3.72294,  2208783.14,  3488588.71,  4967915.93,      50.454933,       -2.610356,   94298.15,  149178.30,    2782.23,             4995.85,   158.94,  68969.54,           58500.28,      8.21,     10.40,          18.32,  +0.98,  +0.11
  2,     UK002D,       0,  0.119948, 2459486.644868827891,  34.93334,   3.39721,              210.46080,  38.15984,       210.46598,       38.16308,     34.93334,      +3.39721,      34.93087,       +3.40158,  2208180.45,  3486593.84,  4966980.44,      50.463375,       -2.618270,   92298.44,  147485.95,    5066.50,             7280.13,     0.11,  56692.97,           58500.28,     -8.31,    -10.53,          18.76,  +0.97,  +0.13
  3,     UK002D,       0,  0.160240, 2459486.644869294018,  34.49960,   3.07153,              210.84948,  37.71305,       210.89421,       37.74093,     34.49960,      +3.07153,      34.47556,       +3.10929,  2207644.40,  3484819.54,  4966148.38,      50.470887,       -2.625334,   90519.97,  145994.86,    7098.20,             9311.83,  -411.30,  50424.38,           58500.28,    -71.18,    -90.03,         162.15,  +3.77,  +2.95
  0,     UK0038,       0,  0.000000, 2459486.644867282361,  51.70576,   4.41725,              188.41518,  42.77237,       188.39852,       42.76246,     51.70576,      +4.41725,      51.71689,       +4.40627,  2210103.31,  3492958.43,  4969965.10,      50.436457,       -2.593026,   98679.08,  143821.27,       0.00,                7.78,     0.81,      0.00,           62076.14,     31.63,     23.68,          56.66,  +4.67,  +3.88
  1,     UK0038,       0,  0.040172, 2459486.644867747091,  51.41834,   4.12033,              188.76520,  42.44994,       188.75393,       42.44326,     51.41834,      +4.12033,      51.42599,       +4.11289,  2209544.49,  3491108.75,  4969097.69,      50.444275,       -2.600360,   96824.55,  141966.73,    2118.02,             2110.23,  -332.57,  52723.68,           62076.14,     21.15,     15.83,          38.39,  +1.39,  +0.63
  2,     UK0038,       0,  0.080396, 2459486.644868212752,  51.02605,   3.72417,              189.23885,  42.01736,       189.22665,       42.01016,     51.02605,      +3.72417,      51.03452,       +3.71610,  2208811.45,  3488682.43,  4967959.88,      50.454536,       -2.609939,   94392.10,  139545.10,    4896.32,             4888.54,     6.75,  69070.85,           62076.14,     22.57,     16.90,          41.68,  +0.58,  -0.14
  3,     UK0038,       0,  0.120636, 2459486.644868678413,  50.69017,   3.32792,              189.63169,  41.58881,       189.66085,       41.60592,     50.69017,      +3.32792,      50.67057,       +3.34721,  2208152.27,  3486500.58,  4966936.70,      50.463769,       -2.618578,   92204.96,  137379.23,    7394.70,             7386.91,    65.17,  62086.91,           62076.14,    -53.23,    -39.77,          99.76,  +0.56,  -0.13
  4,     UK0038,       0,  0.160784, 2459486.644869143143,  50.31846,   3.03162,              190.08149,  41.25449,       190.05161,       41.23698,     50.31846,      +3.03162,      50.33939,       +3.01176,  2207570.52,  3484575.02,  4966033.71,      50.471922,       -2.626230,   90274.89,  135477.54,    9599.61,             9591.82,  -164.29,  54919.54,           60881.27,     53.88,     40.40,         102.53,  +3.90,  +3.24
  0,     UK003Z,       0,  0.029190, 2459486.644867781550,  26.51842,  14.96625,              227.32136,  45.68898,       227.33505,       45.69758,     26.51842,     +14.96625,      26.51399,      +14.97839,  2209651.30,  3491462.29,  4969263.49,      50.442781,       -2.599002,   97179.00,  134747.34,       0.00,             1705.41,   -71.50,      0.00,           57813.85,    -10.03,    -28.55,          46.32,  +1.41,  +0.76
  1,     UK003Z,       0,  0.069906, 2459486.644868252799,  25.72492,  14.66819,              228.07430,  45.05847,       228.11516,       45.08391,     25.72492,     +14.66819,      25.71172,      +14.70441,  2208940.04,  3489108.06,  4968159.47,      50.452736,       -2.608301,   94818.78,  132851.72,    2695.77,             4401.17,   155.45,  66209.02,           57813.85,    -29.59,    -84.13,         138.46,  +0.49,  -0.13
  2,     UK003Z,       0,  0.110534, 2459486.644868723117,  25.02144,  14.41852,              228.74172,  44.50927,       228.78922,       44.53863,     25.02144,     +14.41852,      25.00607,      +14.46068,  2208329.77,  3487088.10,  4967212.22,      50.461282,       -2.616312,   92793.89,  131248.55,    5008.75,             6714.16,     4.96,  56930.87,           57813.85,    -34.08,    -96.85,         161.35,  +0.17,  -0.42
  3,     UK003Z,       0,  0.151106, 2459486.644869192503,  24.37653,  14.20988,              229.35930,  44.02098,       229.39052,       44.04016,     24.37653,     +14.20988,      24.36663,      +14.23763,  2207788.56,  3485296.72,  4966372.16,      50.468866,       -2.623442,   90998.26,  129845.50,    7060.01,             8765.42,  -403.87,  50558.49,           57813.85,    -22.19,    -63.12,         106.28,  +1.97,  +1.40

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.