Orbital Analysis for matched events on 20210929_023633.281_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 98.52° Bg -5.83° Vg 67.89km/s
mass 0.01890g, abs. mag -0.5
Path Details
------------
start 1.90° 51.41° 102.22km
end   1.73° 51.45° 91.85km

Orbit Details
-------------
Semimajor axis 3.04A.U., eccentricity 0.67, inclination 169.64°, Period 5.30Y, LA Sun 185.88°, last Perihelion 2021-09-21

Full details below
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Detailed report below graphs

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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: 2459486.608718531672
Time: 2021-09-29 02:36:33.281136 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002F
 Convergence angle = 47.32108 deg
 R.A. =  98.20394  Dec = +17.46864 deg
Intersection 2 - Stations: UK000C and UK002N
 Convergence angle = 1.28175 deg
 R.A. = 123.30833  Dec = +25.36634 deg
Intersection 3 - Stations: UK002F and UK002N
 Convergence angle = 48.48855 deg
 R.A. =  98.88422  Dec = +17.17426 deg

Best intersection: Stations UK002F and UK002N with Qconv = 48.49 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2650887.95 +/- 142.66 m
 Y =   3062419.93 +/- 208.71 m
 Z =   5041810.48 +/- 117.10 m
 Vx =   -10223.18 +/- 431.05 m/s
 Vy =    64769.12 +/- 1769.32 m/s
 Vz =    20817.00 +/- 834.84 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.452028e+04, -3.348785e+04, -1.883239e+04, +1.374045e+05, -2.134544e+05, -1.145416e+05
-3.348785e+04, +5.243828e+04, +2.842780e+04, -1.866622e+05, +2.935663e+05, +1.649934e+05
-1.883239e+04, +2.842780e+04, +1.619013e+04, -1.095487e+05, +1.759430e+05, +1.002618e+05
+1.374045e+05, -1.866622e+05, -1.095487e+05, +8.665845e+05, -1.360744e+06, -7.548718e+05
-2.134544e+05, +2.935663e+05, +1.759430e+05, -1.360744e+06, +2.186462e+06, +1.231771e+06
-1.145416e+05, +1.649934e+05, +1.002618e+05, -7.548718e+05, +1.231771e+06, +7.149600e+05

Timing offsets (from input data):
    UK000C: 0.000000 s
    UK002F: -0.001131 s
    UK002N: -0.000559 s

Reference point on the trajectory:
  Time: 2021-09-29 02:36:33.281136 UTC
  Lon     = ++1.898887 +/- 0.0034 deg
  Lat     = +51.407825 +/- 0.0004 deg
  Lat geo = +51.223021 +/- 0.0004 deg
  Ht      =  102102.38 +/- 135.19 m

  JD dynamic   = 2459486.609519272577 
  LST apparent = 49.1199237986 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  98.96958 +/- 0.6104 deg
  Dec       = +17.61322 +/- 0.2866 deg
  Azimuth   = 111.81451 +/- 0.7885 deg
  Elevation = +38.30568 +/- 0.1967 deg
  Vavg      =  68.47308 +/- 1.6558 km/s
  Vinit     =  68.79607 +/- 1.6743 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  99.13542 +/- 0.6104 deg
  Dec       = +17.55644 +/- 0.2866 deg
  Azimuth   = 111.69862 +/- 0.7885 deg
  Elevation = +38.16450 +/- 0.1967 deg
  Vavg      =  68.68855 +/- 1.6558 km/s
  Vinit     =  69.01155 +/- 1.6743 km/s
Radiant (geocentric, J2000):
  R.A.   =  98.88757 +/- 0.6006 deg
  Dec    = +17.34254 +/- 0.3029 deg
  Vg     =  67.89430 +/- 1.6980 km/s
  Vinf   =  68.79607 +/- 1.6743 km/s
  Zc     =  51.62585 +/- 0.1983 deg
  Zg     =  51.99152 +/- 0.1874 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  98.52495 +/- 0.5617 deg
  Bg     =  -5.83255 +/- 0.3303 deg
  Vh     =  38.45844 +/- 1.6688 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  99.87089 +/- 0.9954 deg
  Bh     = -10.33148 +/- 0.8216 deg
  Vh_x   =   6.48599 +/- 0.8629 km/s
  Vh_y   = -37.27481 +/- 1.6266 km/s
  Vh_z   =   6.89724 +/- 0.2152 km/s
Orbit:
  La Sun = 185.882897 +/- -0.0000 deg
  a      =   3.038348 +/- 0.6433 AU
  e      =   0.672193 +/- 0.1376
  i      = 169.644056 +/- 0.8149 deg
  peri   = 350.242641 +/- 1.7497 deg
  node   =   5.888565 +/- 0.0003 deg
  Pi     = 356.131205 +/- 1.7495 deg
  q      =   0.995992 +/- 0.0017 AU
  f      =   9.761372 +/- 1.7500 deg
  M      =   1.422287 +/- 0.6130 deg
  Q      =   5.080704 +/- 1.2883 AU
  n      =   0.186101 +/- 0.1422 deg/day
  T      =   5.296108 +/- 1.4677 years
  Last perihelion JD = 2459478.966950 (2021-09-21 11:12:24.443049) +/- 1.2258 days
  Tj     =   0.599878 +/- 0.7629
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.123867e-02, -2.587816e-04, -1.482858e-01, +7.235647e-07, -4.063214e-03, +2.089855e-03
q   , -2.587816e-04, +3.400162e-06, +2.072266e-03, -8.337976e-09, +5.514076e-05, -2.424328e-05
Tp  , -1.482858e-01, +2.072266e-03, +1.528548e+00, -4.676418e-06, +3.829252e-02, -1.379782e-02
node, +7.235647e-07, -8.337976e-09, -4.676418e-06, +2.645408e-11, -1.301332e-07, +7.636635e-08
peri, -4.063214e-03, +5.514076e-05, +3.829252e-02, -1.301332e-07, +9.778256e-04, -3.816865e-04
i   , +2.089855e-03, -2.424328e-05, -1.379782e-02, +7.636635e-08, -3.816865e-04, +2.212451e-04

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: UK000C
  Avg. res. = 2.555e-06 s
  Stddev    = 1.60e-03 s

Begin point on the trajectory:
  Lon =     1.900763 +/- 0.0038 deg
  Lat =    51.407355 +/- 0.0002 deg
  Ht  = 102215.23 +/- 147.15 m
End point on the trajectory:
  Lon =     1.726814 +/- 0.0022 deg
  Lat =    51.450481 +/- 0.0002 deg
  Ht  = 91851.68 +/- 90.89 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.113734,  29.319993,   102215.23,    91851.68,          0.015605,     22.99,     51.85,              22.92, 0.1517,    True,    True, {"ff_name": "FF_UK000C_20210929_023625_843_0734464.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,  14.673315,   0.000000,   101386.07,    92626.06,          0.024581,    100.21,     30.60,              14.43, 0.0621,    True,    True, {"ff_name": "FF_UK002F_20210929_023624_820_0739328.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   101613.32,    91876.18,          0.010046,     14.31,     32.24,              22.92, 0.1517,    True,    True, {"ff_name": "FF_UK002N_20210929_023623_736_0744192.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,     UK000C,       0,  0.000000, 2459486.608718531672, 122.30591,  25.15930,               83.95151,  28.06262,        83.96714,       28.03759,    122.30591,     +25.15930,     122.31381,      +25.13164,  2650860.89,  3062591.32,  5041865.57,      51.407355,       +1.900763,  102215.23,  211614.62,       0.00,              182.05,   103.24,      0.00,           71663.33,     96.52,     42.77,         102.90,  +3.33,  +1.70
  1,     UK000C,       0,  0.040212, 2459486.608718997333, 122.63696,  25.21561,               83.66133,  27.89758,        83.66512,       27.89154,    122.63696,     +25.21561,     122.63898,      +25.20892,  2651284.23,  3059909.25,  5041003.54,      51.414703,       +1.871225,  100449.68,  208984.15,    2848.83,             2666.78,  -178.46,  70845.34,           71663.33,     23.01,     10.22,          24.85,  +1.58,  -0.02
  2,     UK000C,       0,  0.080420, 2459486.608719462529, 122.99229,  25.31688,               83.31874,  27.75020,        83.33204,       27.72911,    122.99229,     +25.31688,     122.99917,      +25.29346,  2651740.39,  3057019.28,  5040074.70,      51.422616,       +1.839383,   98548.13,  206157.37,    5918.48,             5736.43,   125.03,  76344.12,           71663.33,     79.46,     35.22,          86.96,  +1.58,  +0.01
  3,     UK000C,       0,  0.120620, 2459486.608719927724, 123.31615,  25.38040,               83.02944,  27.59512,        83.03642,       27.58410,    123.31615,     +25.38040,     123.32002,      +25.36815,  2652136.08,  3054512.34,  5039268.96,      51.429477,       +1.811714,   96899.31,  203709.78,    8581.28,             8399.23,    22.24,  66238.98,           71663.33,     41.06,     18.22,          45.48,  +2.23,  +0.68
  4,     UK000C,       0,  0.160844, 2459486.608720393386, 123.67419,  25.44677,               82.71319,  27.42100,        82.71161,       27.42348,    123.67419,     +25.44677,     123.67407,      +25.44953,  2652561.35,  3051818.03,  5038403.00,      51.436848,       +1.781965,   95128.00,  201086.36,   11443.11,            11261.06,   116.81,  71147.24,           71173.74,     -9.12,     -4.05,          10.23,  +1.19,  -0.33
  5,     UK000C,       0,  0.201040, 2459486.608720858581, 123.99446,  25.51311,               82.42545,  27.27047,        82.42026,       27.27857,    123.99446,     +25.51311,     123.99280,      +25.52217,  2652934.59,  3049453.37,  5037642.99,      51.443314,       +1.755815,   93574.02,  198788.29,   13954.79,            13772.74,  -136.84,  62485.88,           69793.20,    -29.57,    -13.15,          33.58,  +1.06,  -0.43
  6,     UK000C,       0,  0.241256, 2459486.608721324243, 124.35415,  25.60498,               82.08946,  27.11417,        82.09020,       27.11303,    124.35415,     +25.60498,     124.35547,      +25.60370,  2653348.44,  3046831.46,  5036800.30,      51.450481,       +1.726814,   91851.68,  196247.71,   16739.72,            16557.67,  -118.61,  69249.16,           69241.80,      4.12,      1.83,           4.73,  +2.11,  +0.65
  0,     UK002F,       0,  0.019274, 2459486.608718639705, 112.39200,  10.69148,              102.15377,  22.83282,       102.11904,       22.84612,    112.39200,     +10.69148,     112.40939,      +10.72164,  2651059.68,  3061331.88,  5041460.78,      51.410806,       +1.886936,  101386.07,  250353.54,       0.00,             1155.70,  -249.09,      0.00,           70006.05,    -44.21,   -144.88,         124.80,  +2.39,  +0.40
  1,     UK002F,       0,  0.059438, 2459486.608719104435, 112.57515,  10.63072,              102.04021,  22.67433,       102.04123,       22.67393,    112.57515,     +10.63072,     112.57480,      +10.62983,  2651533.41,  3058330.60,  5040496.16,      51.419026,       +1.853888,   99410.85,  247261.34,    3187.88,             4343.58,   175.66,  79371.62,           70006.05,      1.30,      4.22,           3.68,  +1.97,  +0.00
  2,     UK002F,       0,  0.099570, 2459486.608719569165, 112.69845,  10.54198,              101.99564,  22.52985,       101.97919,       22.53617,    112.69845,     +10.54198,     112.70703,      +10.55630,  2651904.62,  3055978.79,  5039740.28,      51.425464,       +1.827933,   97863.72,  244837.90,    5685.91,             6841.61,   -87.23,  62245.28,           70006.05,    -20.61,    -67.25,          59.25,  +2.49,  +0.55
  3,     UK002F,       0,  0.139722, 2459486.608720033895, 112.84493,  10.44320,              101.93829,  22.36344,       101.90693,       22.37545,    112.84493,     +10.44320,     112.86120,      +10.47049,  2652328.12,  3053295.68,  5038877.92,      51.432806,       +1.798321,   96099.35,  242076.61,    8535.85,             9691.54,     0.40,  70978.68,           70006.05,    -38.74,   -126.84,         113.00,  +1.90,  -0.02
  4,     UK002F,       0,  0.179874, 2459486.608720498625, 112.99513,  10.35630,              101.86995,  22.20414,       101.83595,       22.21716,    112.99513,     +10.35630,     113.01292,      +10.38590,  2652736.03,  3050711.35,  5038047.31,      51.439875,       +1.769770,   94400.65,  239418.75,   11280.85,            12436.54,   -16.90,  68365.28,           69516.46,    -41.55,   -136.11,         122.61,  +0.98,  -0.92
  5,     UK002F,       0,  0.220034, 2459486.608720963355, 113.17298,  10.29316,              101.76275,  22.04685,       101.76021,       22.04783,    113.17298,     +10.29316,     113.17509,      +10.29538,  2653162.35,  3048010.42,  5037179.22,      51.447259,       +1.739912,   92626.06,  236643.78,   14149.71,            15305.41,    89.12,  71435.81,           69650.86,     -3.10,    -10.07,           9.18,  +2.23,  +0.36
  0,     UK002N,       0,  0.004782, 2459486.608718560077, 122.42652,  25.14848,               83.87011,  27.97972,        83.86502,       27.98784,    122.42652,     +25.14848,     122.42394,      +25.15747,  2651005.20,  3061677.09,  5041571.73,      51.409860,       +1.890744,  101613.32,  210720.19,       0.00,              789.03,   381.20,      0.00,           65694.24,    -31.19,    -13.88,          33.42,  +3.97,  +2.35
  1,     UK002N,       0,  0.044770, 2459486.608719022945, 122.69862,  25.21310,               83.61744,  27.85741,        83.61225,       27.86566,    122.69862,     +25.21310,     122.69617,      +25.22225,  2651357.43,  3059445.54,  5040854.50,      51.415973,       +1.866136,  100144.51,  208531.19,    2370.29,             3159.32,     0.47,  59275.02,           65694.24,    -31.41,    -13.98,          34.00,  +1.70,  +0.10
  2,     UK002N,       0,  0.084750, 2459486.608719485812, 123.00634,  25.30015,               83.32131,  27.72932,        83.32392,       27.72518,    123.00634,     +25.30015,     123.00794,      +25.29555,  2651751.35,  3056949.80,  5040052.37,      51.422806,       +1.838612,   98502.42,  206089.23,    5021.19,             5810.22,   -99.09,  66305.77,           65694.24,     15.60,      6.93,          17.09,  +1.63,  +0.06
  3,     UK002N,       0,  0.124746, 2459486.608719948679, 123.35172,  25.37534,               83.00703,  27.56935,        83.00694,       27.56949,    123.35172,     +25.37534,     123.35214,      +25.37550,  2652175.10,  3054265.14,  5039189.51,      51.430154,       +1.808994,   96736.76,  203469.28,    7872.78,             8661.81,     0.93,  71296.77,           65694.24,     -0.53,     -0.24,           0.59,  +1.60,  +0.06
  4,     UK002N,       0,  0.164734, 2459486.608720411547, 123.69041,  25.45634,               82.69380,  27.41789,        82.69539,       27.41540,    123.69041,     +25.45634,     123.69181,      +25.45356,  2652582.35,  3051685.01,  5038360.25,      51.437212,       +1.780498,   95040.56,  200957.13,   10613.32,            11402.34,    -9.55,  68534.00,           66842.94,      9.17,      4.07,          10.30,  +1.07,  -0.45
  5,     UK002N,       0,  0.204710, 2459486.608720873948, 124.04562,  25.55432,               82.35586,  27.26867,        82.36677,       27.25159,    124.04562,     +25.55432,     124.05162,      +25.53525,  2653002.36,  3049024.00,  5037504.99,      51.444488,       +1.751089,   93291.92,  198373.13,   13439.78,            14228.81,    66.72,  70704.06,           67722.53,     62.15,     27.55,          70.69,  +0.97,  -0.52
  6,     UK002N,       0,  0.244726, 2459486.608721337281, 124.35203,  25.59218,               82.10091,  27.10620,        82.09493,       27.11549,    124.35203,     +25.59218,     124.35020,      +25.60259,  2653342.55,  3046868.77,  5036812.29,      51.450379,       +1.727220,   91876.18,  196283.38,   15729.00,            16518.03,  -397.00,  57207.61,           66909.25,    -33.53,    -14.91,          38.57,  +3.22,  +1.76

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.