Orbital Analysis for matched events on 20211015_040126.029_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 107.60° Bg -17.40° Vg 69.47km/s
mass 0.04973g, abs. mag -0.9
best visual mag 0.0
Path Details
------------
start -2.49° 55.51° 113.06km
end   -2.67° 55.68° 97.03km

Orbit Details
-------------
Semimajor axis 167.64A.U., eccentricity 0.99, inclination 150.19°, Period 2170.45Y, LA Sun 201.73°, last Perihelion 1-01-01

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: 2459502.667662383057
Time: 2021-10-15 04:01:26.029896 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000P and UK004B
 Convergence angle = 30.30728 deg
 R.A. = 107.12888  Dec =  +5.08792 deg

Best intersection: Stations UK000P and UK004B with Qconv = 30.31 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    526568.83 +/- 24.59 m
 Y =   3645795.13 +/- 22.33 m
 Z =   5327223.02 +/- 93.13 m
 Vx =   -20495.38 +/- 69.58 m/s
 Vy =    66977.53 +/- 555.81 m/s
 Vz =     6531.20 +/- 380.41 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.368655e+02, -3.443537e+02, -2.210428e+03, +3.766024e+03, -5.943298e+03, -7.718176e+03
-3.443537e+02, +5.328354e+02, +1.693450e+03, -1.472060e+03, +4.557740e+03, +4.386579e+03
-2.210428e+03, +1.693450e+03, +1.009211e+04, -1.565211e+04, +3.693686e+04, +3.617813e+04
+3.766024e+03, -1.472060e+03, -1.565211e+04, +4.012085e+04, -8.752902e+04, -7.037093e+04
-5.943298e+03, +4.557740e+03, +3.693686e+04, -8.752902e+04, +2.531669e+05, +1.606012e+05
-7.718176e+03, +4.386579e+03, +3.617813e+04, -7.037093e+04, +1.606012e+05, +1.512756e+05

Timing offsets (from input data):
    UK000P: 0.000000 s
    UK004B: 0.000893 s

Reference point on the trajectory:
  Time: 2021-10-15 04:01:26.029896 UTC
  Lon     = +-2.487692 +/- 0.0004 deg
  Lat     = +55.513913 +/- 0.0004 deg
  Lat geo = +55.337227 +/- 0.0004 deg
  Ht      =  113059.92 +/- 84.54 m

  JD dynamic   = 2459502.668463123962 
  LST apparent = 81.7814992240 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 107.01431 +/- 0.0769 deg
  Dec       =  +5.32716 +/- 0.2704 deg
  Azimuth   = 148.39566 +/- 0.1637 deg
  Elevation = +35.90868 +/- 0.2470 deg
  Vavg      =  68.16636 +/- 0.0554 km/s
  Vinit     =  70.34704 +/- 0.5341 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 107.21275 +/- 0.0769 deg
  Dec       =  +5.31849 +/- 0.2704 deg
  Azimuth   = 148.16618 +/- 0.1637 deg
  Elevation = +35.84133 +/- 0.2470 deg
  Vavg      =  68.28079 +/- 0.0554 km/s
  Vinit     =  70.46148 +/- 0.5341 km/s
Radiant (geocentric, J2000):
  R.A.   = 106.83555 +/- 0.0765 deg
  Dec    =  +5.01231 +/- 0.2771 deg
  Vg     =  69.46671 +/- 0.5410 km/s
  Vinf   =  70.34704 +/- 0.5341 km/s
  Zc     =  53.94090 +/- 0.2467 deg
  Zg     =  54.30806 +/- 0.2536 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 107.59930 +/- 0.0691 deg
  Bg     = -17.40277 +/- 0.2798 deg
  Vh     =  42.11798 +/- 0.4696 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 103.45128 +/- 0.1375 deg
  Bh     = -29.55589 +/- 0.5900 deg
  Vh_x   =   8.52253 +/- 0.1874 km/s
  Vh_y   = -35.63234 +/- 0.5771 km/s
  Vh_z   =  20.77563 +/- 0.2096 km/s
Orbit:
  La Sun = 201.727899 +/- -0.0000 deg
  a      = 167.635371 +/- 55.8520 AU
  e      =   0.994145 +/- 0.0432
  i      = 150.185877 +/- 0.5978 deg
  peri   =  14.433104 +/- 0.4149 deg
  node   =  21.730217 +/- 0.0000 deg
  Pi     =  36.163321 +/- 0.4149 deg
  q      =   0.981523 +/- 0.0006 AU
  f      = 345.567411 +/- 0.4149 deg
  M      = 359.995372 +/- 0.1664 deg
  Q      = 334.289219 +/- 111.7037 AU
  n      =   0.000454 +/- 0.0149 deg/day
  T      = 2170.446703 +/- 695.6110 years
  Last perihelion JD = 1721425.500000 (0001-01-01 00:00:00) +/- 246202.7331 days
  Tj     =  -1.033146 +/- 0.2464
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.019485e-03, +1.872611e-05, -1.046597e+04, +4.172293e-07, -1.682357e-02, +2.443323e-02
q   , +1.872611e-05, +3.953393e-07, -1.050392e+02, +4.787457e-09, -2.573718e-04, +2.793255e-04
Tp  , -1.046597e+04, -1.050392e+02, +6.920797e+10, -2.751735e+00, +9.056814e+04, -1.603896e+05
node, +4.172293e-07, +4.787457e-09, -2.751735e+00, +1.188589e-10, -3.879879e-06, +6.929491e-06
peri, -1.682357e-02, -2.573718e-04, +9.056814e+04, -3.879879e-06, +1.865233e-01, -2.267261e-01
i   , +2.443323e-02, +2.793255e-04, -1.603896e+05, +6.929491e-06, -2.267261e-01, +4.041016e-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: UK000P
  Avg. res. = 5.863e-06 s
  Stddev    = 2.42e-03 s

Begin point on the trajectory:
  Lon =    -2.487699 +/- 0.0004 deg
  Lat =    55.513919 +/- 0.0004 deg
  Ht  = 113059.28 +/- 84.97 m
End point on the trajectory:
  Lon =    -2.671473 +/- 0.0004 deg
  Lat =    55.680979 +/- 0.0003 deg
  Ht  = 97029.19 +/- 45.77 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
    UK000P,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   113059.28,    97029.19,          0.010481,     18.12,     14.86,              72.11, 1.0000,    True,    True, {"ff_name": "FF_UK000P_20211015_040119_691_0914432.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,   0.000000,   0.000000,   109255.59,    97911.08,          0.011855,     59.54,      9.44,             120.25, 1.0000,    True,    True, {"ff_name": "FF_UK004B_20211015_040118_812_0927744.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,     UK000P,       0,  0.000000, 2459502.667662383057, 147.33725,  72.32247,               31.91159,  58.31130,        31.90653,       58.31448,    147.33725,     +72.32247,     147.32724,      +72.32528,   526569.15,  3645794.10,  5327222.92,      55.513919,       -2.487699,  113059.28,  132403.51,       0.00,                1.09,   642.12,      0.00,           65677.13,     -6.08,      7.41,          14.93,  +2.50,  +1.89
  1,     UK000P,       0,  0.040416, 2459502.667662851047, 149.80602,  73.08182,               30.39746,  57.62551,        30.38654,       57.63220,    149.80602,     +73.08182,     149.78466,      +73.08812,   527313.57,  3643361.38,  5326985.69,      55.529478,       -2.504747,  111561.02,  131607.85,    2555.10,             2556.19,   354.07,  63220.02,           65677.13,    -12.95,     15.78,          32.00,  +0.94,  +0.34
  2,     UK000P,       0,  0.080808, 2459502.667663318105, 152.38329,  73.80676,               28.94937,  56.95302,        28.95636,       56.94884,    152.38329,     +73.80676,     152.39730,      +73.80258,   528032.39,  3641012.33,  5326756.63,      55.544505,       -2.521235,  110114.89,  130882.38,    5022.33,             5023.41,   -20.16,  61082.05,           65677.13,      8.20,     -9.99,          20.37,  +0.47,  -0.11
  3,     UK000P,       0,  0.121328, 2459502.667663787492, 155.95613,  74.62853,               27.27490,  56.07813,        27.26513,       56.08383,    155.95613,     +74.62853,     155.93794,      +74.63467,   528908.68,  3638148.65,  5326477.38,      55.562831,       -2.541325,  108352.77,  130056.65,    8030.07,             8031.16,   137.13,  74228.71,           65677.13,    -11.36,     13.84,          28.40,  +0.31,  -0.26
  4,     UK000P,       0,  0.161780, 2459502.667664255481, 159.46684,  75.34858,               25.77529,  55.28447,        25.78908,       55.27660,    159.46684,     +75.34858,     159.49305,      +75.33952,   529697.87,  3635569.65,  5326225.90,      55.579341,       -2.559460,  106766.59,  129368.26,   10738.82,            10739.91,     0.19,  66962.01,           66637.77,     15.92,    -19.42,          40.04,  +0.17,  -0.39
  5,     UK000P,       0,  0.202292, 2459502.667664724402, 163.70393,  76.04410,               24.24513,  54.38890,        24.25688,       54.38233,    163.70393,     +76.04410,     163.72526,      +76.03601,   530544.19,  3632803.92,  5325956.20,      55.597052,       -2.578922,  105066.38,  128689.70,   13643.69,            13644.78,    55.16,  71703.89,           67637.03,     13.50,    -16.47,          34.14,  +0.15,  -0.40
  6,     UK000P,       0,  0.242792, 2459502.667665193323, 168.20024,  76.64805,               22.81437,  53.50500,        22.83123,       53.49576,    168.20024,     +76.64805,     168.22807,      +76.63591,   531358.36,  3630143.27,  5325696.75,      55.614096,       -2.597677,  103431.55,  128095.81,   16438.19,            16439.28,     0.61,  69000.01,           68139.81,     19.32,    -23.57,          49.07,  +0.10,  -0.44
  7,     UK000P,       0,  0.283324, 2459502.667665662244, 173.31017,  77.18428,               21.38623,  52.56327,        21.40583,       52.55273,    173.31017,     +77.18428,     173.33828,      +77.16953,   532200.83,  3627390.13,  5325428.28,      55.631739,       -2.617105,  101740.72,  127543.12,   19329.84,            19330.93,    40.95,  71342.42,           68616.55,     22.45,    -27.40,          57.28,  +0.03,  -0.50
  8,     UK000P,       0,  0.323840, 2459502.667666131165, 178.53157,  77.57845,               20.11007,  51.64620,        20.11208,       51.64514,    178.53157,     +77.57845,     178.53515,      +77.57689,   532991.90,  3624804.98,  5325176.20,      55.648311,       -2.635383,  100153.82,  127081.93,   22045.04,            22046.13,   -94.03,  67015.53,           68732.02,      2.31,     -2.81,           5.91,  +0.03,  -0.49
  9,     UK000P,       0,  0.364396, 2459502.667666600551, 184.40669,  77.88495,               18.80275,  50.65698,        18.79061,       50.66331,    184.40669,     +77.88495,     184.39896,      +77.89472,   533828.66,  3622070.50,  5324909.55,      55.665846,       -2.654734,   98476.05,  126655.96,   24917.09,            24918.18,   -74.97,  70816.89,           68904.74,    -13.96,     17.03,          35.86,  +0.14,  -0.37
 10,     UK000P,       0,  0.404880, 2459502.667667069007, 189.69911,  78.05091,               17.70681,  49.78966,        17.68718,       49.79979,    189.69911,     +78.05091,     189.69252,      +78.06704,   534550.58,  3619711.32,  5324679.50,      55.680979,       -2.671473,   97029.19,  126339.65,   27394.96,            27396.05,  -445.03,  61206.13,           68648.94,    -22.68,     27.67,          58.41,  +0.58,  +0.07
  0,     UK004B,       1,  0.058582, 2459502.667663055472, 312.42467,  50.41959,              329.08457,  21.66255,       329.08304,       21.66253,    312.42467,     +50.41959,     312.42685,      +50.41889,   527544.95,  3642605.23,  5326911.96,      55.534314,       -2.510072,  111095.44,  286118.27,       0.00,             3350.38,  -129.66,      0.00,           69709.62,     -1.12,      7.03,           5.13,  +4.95,  +2.67
  1,     UK004B,       0,  0.098986, 2459502.667663522996, 312.04075,  49.93669,              329.06932,  21.12085,       329.09081,       21.12120,    312.04075,     +49.93669,     312.01400,      +49.94650,   528459.66,  3639616.04,  5326620.47,      55.553440,       -2.531018,  109255.59,  287710.87,    3139.58,             6489.95,   167.61,  77704.56,           69709.62,     15.75,    -99.44,          72.18,  +1.97,  -0.32
  2,     UK004B,       0,  0.139334, 2459502.667663990054, 311.69608,  49.53915,              329.07834,  20.66523,       329.09702,       20.66553,    311.69608,     +49.53915,     311.67311,      +49.54763,   529237.48,  3637074.17,  5326372.61,      55.569709,       -2.548881,  107691.83,  289085.92,    5809.32,             9159.70,    -1.01,  66167.89,           69709.62,     13.80,    -87.11,          62.93,  +1.77,  -0.54
  3,     UK004B,       0,  0.179686, 2459502.667664457113, 311.33734,  49.15058,              329.10438,  20.21245,       329.10318,       20.21243,    311.33734,     +49.15058,     311.33961,      +49.15003,   530018.38,  3634522.25,  5326123.76,      55.586048,       -2.566836,  106122.60,  290484.61,    8489.63,            11840.01,  -159.34,  66423.23,           69709.62,     -0.90,      5.66,           4.07,  +1.11,  -1.21
  4,     UK004B,       0,  0.220038, 2459502.667664924171, 310.99659,  48.74773,              329.11609,  19.75175,       329.10945,       19.75165,    310.99659,     +48.74773,     311.00584,      +48.74475,   530820.37,  3631901.38,  5325868.19,      55.602833,       -2.585296,  104511.72,  291939.66,   11242.35,            14592.73,  -245.27,  68217.69,           68964.66,     -5.00,     31.47,          22.51,  +1.13,  -1.20
  5,     UK004B,       0,  0.260446, 2459502.667665391695, 310.62690,  48.25654,              329.10682,  19.20294,       329.11726,       19.20311,    310.62690,     +48.25654,     310.61494,      +48.26120,   531785.88,  3628746.15,  5325560.51,      55.623049,       -2.607519,  102573.42,  293715.05,   14556.30,            17906.68,   226.11,  82012.40,           70617.93,      7.91,    -49.92,          35.49,  +0.88,  -1.46
  6,     UK004B,       0,  0.300782, 2459502.667665858753, 310.30721,  47.86762,              329.12010,  18.75938,       329.12320,       18.75943,    310.30721,     +47.86762,     310.30461,      +47.86900,   532575.37,  3626166.16,  5325308.93,      55.639585,       -2.625747,  100989.29,  295187.52,   17266.10,            20616.47,    98.38,  67180.47,           70840.10,      2.37,    -14.93,          10.56,  +1.00,  -1.35
  7,     UK004B,       0,  0.341130, 2459502.667666325346, 309.98508,  47.46030,              329.12957,  18.29797,       329.12945,       18.29797,    309.98508,     +47.46030,     309.98666,      +47.46024,   533405.03,  3623454.88,  5325044.55,      55.656968,       -2.644920,   99325.36,  296753.52,   20113.77,            23464.15,   107.69,  70577.75,           70910.83,     -0.09,      0.58,           0.41,  +1.23,  -1.13
  8,     UK004B,       0,  0.381430, 2459502.667666791938, 309.70006,  47.12283,              329.15170,  17.90963,       329.13441,       17.90936,    309.70006,     +47.12283,     309.72308,      +47.11523,   534110.52,  3621149.41,  5324819.73,      55.671754,       -2.661270,   97911.08,  298100.93,   22535.23,            25885.61,  -305.84,  60085.90,           70223.42,    -13.43,     84.51,          59.21,  +1.35,  -1.02

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.