Orbital Analysis for matched events on 20210810_020228.197_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 290.62° Bg 64.13° Vg 20.54km/s
mass 0.04819g, abs. mag 1.2
Path Details
------------
start -0.87° 51.10° 94.76km
end   -0.77° 51.08° 86.64km

Orbit Details
-------------
Semimajor axis 3.98A.U., eccentricity 0.76, inclination 28.93°, Period 7.95Y, LA Sun 137.39°, last Perihelion 2013-09-20

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: 2459436.585048585199
Time: 2021-08-10 02:02:28.197761 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK002B
 Convergence angle = 3.44376 deg
 R.A. = 284.14377  Dec = +41.94748 deg

Best intersection: Stations UK0001 and UK002B with Qconv = 3.44 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3991573.63 +/- 257.19 m
 Y =   -809932.70 +/- 163.92 m
 Z =   5014257.78 +/- 524.74 m
 Vx =     4464.89 +/- 885.57 m/s
 Vy =   -16429.95 +/- 794.08 m/s
 Vz =    15976.04 +/- 1743.59 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.009784e+04, +3.144409e+04, +1.016070e+05, +1.358970e+05, +1.273864e+05, +2.633381e+05
+3.144409e+04, +2.047881e+04, +6.355432e+04, +8.600790e+04, +8.049115e+04, +1.664690e+05
+1.016070e+05, +6.355432e+04, +2.068057e+05, +2.771891e+05, +2.607137e+05, +5.389952e+05
+1.358970e+05, +8.600790e+04, +2.771891e+05, +4.244115e+05, +4.000984e+05, +8.248356e+05
+1.273864e+05, +8.049115e+04, +2.607137e+05, +4.000984e+05, +3.810061e+05, +7.795893e+05
+2.633381e+05, +1.664690e+05, +5.389952e+05, +8.248356e+05, +7.795893e+05, +1.610031e+06

Timing offsets (from input data):
    UK0001: 0.004338 s
    UK002B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:02:28.197761 UTC
  Lon     = +-0.864709 +/- 0.0030 deg
  Lat     = +51.099630 +/- 0.0014 deg
  Lat geo = +50.914179 +/- 0.0014 deg
  Ht      =   94713.39 +/- 546.33 m

  JD dynamic   = 2459436.585849326104 
  LST apparent = 348.5298052001 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 285.20316 +/- 3.2539 deg
  Dec       = +43.17805 +/- 4.1211 deg
  Azimuth   = 285.02754 +/- 2.5139 deg
  Elevation = +47.56913 +/- 4.4643 deg
  Vavg      =  22.83037 +/- 0.5800 km/s
  Vinit     =  23.34764 +/- 0.6506 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 285.65893 +/- 3.2539 deg
  Dec       = +43.62651 +/- 4.1211 deg
  Azimuth   = 285.31282 +/- 2.5139 deg
  Elevation = +48.09267 +/- 4.4643 deg
  Vavg      =  22.63794 +/- 0.5800 km/s
  Vinit     =  23.15520 +/- 0.6506 km/s
Radiant (geocentric, J2000):
  R.A.   = 281.84893 +/- 3.4762 deg
  Dec    = +41.53503 +/- 4.6465 deg
  Vg     =  20.53558 +/- 0.7454 km/s
  Vinf   =  23.34764 +/- 0.6506 km/s
  Zc     =  42.47926 +/- 4.4564 deg
  Zg     =  45.33271 +/- 5.0403 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 290.62309 +/- 6.9430 deg
  Bg     = +64.12685 +/- 4.2519 deg
  Vh     =  39.08239 +/- 0.7073 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 241.31360 +/- 0.3220 deg
  Bh     = +28.21636 +/- 2.7002 deg
  Vh_x   =  16.53085 +/- 0.8721 km/s
  Vh_y   =  30.21123 +/- 1.1744 km/s
  Vh_z   = -18.47824 +/- 1.3762 km/s
Orbit:
  La Sun = 137.390733 +/- -0.0000 deg
  a      =   3.981934 +/- 2.7819 AU
  e      =   0.758699 +/- 0.0605
  i      =  28.933203 +/- 2.7759 deg
  peri   = 208.462662 +/- 1.1557 deg
  node   = 137.398266 +/- 0.0009 deg
  Pi     = 345.860928 +/- 1.1549 deg
  q      =   0.960847 +/- 0.0021 AU
  f      = 331.530288 +/- 1.1549 deg
  M      = 357.361693 +/- 0.9548 deg
  Q      =   7.003022 +/- 5.5619 AU
  n      =   0.124040 +/- 0.0414 deg/day
  T      =   7.945876 +/- 12.3989 years
  Last perihelion JD = 2456555.573790 (2013-09-20 01:46:15.477348) +/- 4529.7205 days
  Tj     =   2.304377 +/- 0.2858
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.324068e-03, +7.061880e-05, -8.939946e+01, +5.059931e-07, -7.462411e-04, -1.787652e-03
q   , +7.061880e-05, +2.361275e-06, -2.942057e+00, +1.559191e-08, -2.359738e-05, -5.411766e-05
Tp  , -8.939946e+01, -2.942057e+00, +5.412861e+06, -2.102338e-02, +2.902702e+01, +6.858393e+01
node, +5.059931e-07, +1.559191e-08, -2.102338e-02, +1.123144e-10, -1.630132e-07, -3.916198e-07
peri, -7.462411e-04, -2.359738e-05, +2.902702e+01, -1.630132e-07, +2.439516e-04, +5.740092e-04
i   , -1.787652e-03, -5.411766e-05, +6.858393e+01, -3.916198e-07, +5.740092e-04, +1.385175e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.164525
 a2 = 15.042087

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 8.124e-06 s
  Stddev    = 2.85e-03 s

Begin point on the trajectory:
  Lon =    -0.865245 +/- 0.0029 deg
  Lat =    51.099720 +/- 0.0014 deg
  Ht  = 94756.53 +/- 552.51 m
End point on the trajectory:
  Lon =    -0.766318 +/- 0.0026 deg
  Lat =    51.082608 +/- 0.0010 deg
  Ht  = 86638.62 +/- 385.47 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,    93753.25,    87608.23,          0.007192,     13.55,      5.41,              75.88, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20210810_020225_467_0518400.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.033051,  18.085294,    94756.53,    86638.62,          0.019247,     32.97,     12.10,              62.36, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210810_020223_952_0521472.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,  0.067458, 2459436.585049098358,  47.87099,  49.84039,               67.29657,  52.62893,        67.29189,       52.62760,     47.87099,     +49.84039,      47.87474,      +49.84239,  3991324.85,  -809017.23,  5013367.61,      51.097613,       -0.852968,   93753.25,  117446.75,       0.00,             1300.92,  -128.05,      0.00,           25513.39,     -2.38,     -5.97,          11.30,  +2.86,  +2.51
  1,     UK0001,       0,  0.107838, 2459436.585049565881,  48.32664,  49.48978,               67.60434,  52.21098,        67.60711,       52.21176,     48.32664,     +49.48978,      48.32458,      +49.48859,  3991136.83,  -808325.36,  5012694.85,      51.096088,       -0.844122,   93027.67,  117179.25,     983.18,             2284.09,   -87.65,  24348.12,           25513.39,      1.42,      3.55,           6.73,  +2.56,  +2.22
  2,     UK0001,       0,  0.148294, 2459436.585050033871,  48.86655,  49.06503,               67.96773,  51.70667,        67.97907,       51.70985,     48.86655,     +49.06503,      48.85772,      +49.06019,  3990911.88,  -807497.60,  5011889.96,      51.094262,       -0.833503,   92159.67,  116870.42,    2159.46,             3460.38,   144.08,  29075.61,           25513.39,      5.83,     14.61,          27.76,  +3.05,  +2.71
  3,     UK0001,       0,  0.188634, 2459436.585050500929,  49.24524,  48.73223,               68.26271,  51.33379,        68.25362,       51.33123,     49.24524,     +48.73223,      49.25312,      +48.73611,  3990742.82,  -806875.51,  5011285.05,      51.092888,       -0.825563,   91507.37,  116643.77,    3043.48,             4344.40,    86.26,  21914.23,           25513.39,     -4.70,    -11.77,          22.41,  +2.14,  +1.81
  4,     UK0001,       0,  0.228934, 2459436.585050967522,  49.60249,  48.45526,               68.48076,  50.99638,        68.49037,       50.99907,     49.60249,     +48.45526,      49.59533,      +48.45116,  3990595.04,  -806331.68,  5010756.25,      51.091687,       -0.818642,   90937.15,  116449.79,    3816.29,             5117.20,   -81.84,  19176.34,           24008.47,      4.98,     12.50,          23.83,  +2.11,  +1.78
  5,     UK0001,       0,  0.269322, 2459436.585051434580,  50.02313,  48.06799,               68.81392,  50.56739,        68.79609,       50.56240,     50.02313,     +48.06799,      50.03858,      +48.07560,  3990402.38,  -805622.72,  5010066.88,      51.090120,       -0.809567,   90193.87,  116206.12,    4823.74,             6124.66,   -17.36,  24944.35,           23711.49,     -9.31,    -23.32,          44.57,  +1.89,  +1.56
  6,     UK0001,       0,  0.309698, 2459436.585051902104,  50.44177,  47.70711,               69.10073,  50.14840,        69.08351,       50.14359,     50.44177,     +47.70711,      50.45695,      +47.71447,  3990218.57,  -804946.36,  5009409.20,      51.088624,       -0.800916,   89484.80,  115980.86,    5784.89,             7085.80,     1.11,  23804.92,           23615.40,     -9.03,    -22.63,          43.34,  +1.76,  +1.44
  7,     UK0001,       0,  0.350074, 2459436.585052369162,  50.87526,  47.35581,               69.35704,  49.72195,        69.36575,       49.72437,     50.87526,     +47.35581,      50.86925,      +47.35209,  3990035.59,  -804273.02,  5008754.46,      51.087133,       -0.792302,   88778.96,  115763.95,    6741.73,             8042.64,    15.26,  23698.27,           23582.26,      4.59,     11.50,          22.06,  +2.01,  +1.69
  8,     UK0001,       0,  0.390434, 2459436.585052836686,  51.26065,  46.99708,               69.63864,  49.31711,        69.63546,       49.31622,     51.26065,     +46.99708,      51.26464,      +46.99844,  3989858.30,  -803620.63,  5008120.10,      51.085689,       -0.783961,   88095.12,  115560.58,    7668.79,             8969.71,     0.02,  22969.92,           23525.99,     -1.69,     -4.23,           8.13,  +2.88,  +2.57
  9,     UK0001,       0,  0.430690, 2459436.585053302348,  51.53585,  46.74343,               69.83091,  49.02740,        69.82447,       49.02561,     51.53585,     +46.74343,      51.54271,      +46.74618,  3989732.08,  -803156.15,  5007668.45,      51.084659,       -0.778070,   87608.23,  115417.92,    8328.84,             9629.75,  -279.82,  16396.15,           23109.63,     -3.42,     -8.57,          16.50,  +4.43,  +4.12
  0,     UK002B,       0,  0.000000, 2459436.585048585199,  33.81632,  62.01977,               47.85071,  63.02615,        47.92821,       63.05614,     33.81632,     +62.01977,      33.75654,      +61.98302,  3991584.80,  -809973.83,  5014297.78,      51.099720,       -0.865245,   94756.53,  106069.43,       0.00,               58.45,   204.46,      0.00,           21836.73,     29.44,     80.28,         166.28,  +3.44,  +3.31
  1,     UK002B,       0,  0.040320, 2459436.585049052257,  34.50327,  61.69867,               48.58619,  62.71695,        48.56825,       62.71007,     34.50327,     +61.69867,      34.51717,      +61.70712,  3991398.74,  -809289.13,  5013632.00,      51.098212,       -0.856494,   94038.41,  105587.01,     972.99,              914.54,   119.17,  24131.60,           21836.73,     -6.82,    -18.56,          38.62,  +3.44,  +3.32
  2,     UK002B,       0,  0.080624, 2459436.585049518384,  35.18900,  61.47975,               49.07873,  62.39625,        49.11008,       62.40819,     35.18900,     +61.47975,      35.16464,      +61.46504,  3991238.70,  -808700.23,  5013059.36,      51.096914,       -0.848989,   93420.80,  105176.82,    1809.84,             1751.39,    15.02,  20763.55,           21836.73,     11.89,     32.40,          67.69,  +2.74,  +2.63
  3,     UK002B,       0,  0.120928, 2459436.585049984977,  35.84064,  61.23176,               49.61570,  62.08556,        49.65057,       62.09876,     35.84064,     +61.23176,      35.81347,      +61.21547,  3991077.06,  -808105.43,  5012480.99,      51.095603,       -0.841407,   92797.04,  104767.57,    2655.08,             2596.63,   -80.74,  20971.60,           21836.73,     13.22,     36.03,          75.55,  +2.56,  +2.46
  4,     UK002B,       0,  0.161300, 2459436.585050452035,  36.61975,  60.89430,               50.32096,  61.70398,        50.32012,       61.70367,     36.61975,     +60.89430,      36.62090,      +60.89468,  3990874.59,  -807360.37,  5011756.52,      51.093959,       -0.831865,   92015.77,  104263.26,    3713.84,             3655.38,    35.42,  26225.00,           22593.48,     -0.32,     -0.86,           1.81,  +2.27,  +2.18
  5,     UK002B,       0,  0.201628, 2459436.585050919093,  37.29871,  60.61274,               50.88718,  61.36271,        50.88266,       61.36102,     37.29871,     +60.61274,      37.30300,      +60.61484,  3990701.51,  -806723.49,  5011137.23,      51.092553,       -0.823732,   91347.97,  103837.99,    4618.87,             4560.42,    -1.10,  22441.95,           22787.85,     -1.72,     -4.67,           9.89,  +1.86,  +1.78
  6,     UK002B,       0,  0.241976, 2459436.585051386151,  38.01387,  60.33763,               51.41785,  60.99603,        51.44737,       61.00696,     38.01387,     +60.33763,      37.99083,      +60.32404,  3990525.36,  -806075.27,  5010506.92,      51.091120,       -0.815450,   90668.33,  103411.43,    5540.02,             5481.57,   -21.99,  22830.08,           22861.78,     11.20,     30.52,          64.84,  +1.54,  +1.47
  7,     UK002B,       0,  0.282352, 2459436.585051853210,  38.76736,  60.01605,               52.01883,  60.59872,        52.05727,       60.61286,     38.76736,     +60.01605,      38.73702,      +59.99844,  3990332.49,  -805365.55,  5009816.81,      51.089551,       -0.806364,   89924.26,  102952.10,    6548.56,             6490.11,    43.87,  24978.74,           23069.22,     14.59,     39.76,          84.86,  +1.54,  +1.48
  8,     UK002B,       0,  0.322680, 2459436.585052320268,  39.39560,  59.72313,               52.55084,  60.25766,        52.57668,       60.26711,     39.39560,     +59.72313,      39.37555,      +59.71133,  3990165.45,  -804750.88,  5009219.12,      51.088191,       -0.798517,   89279.88,  102559.86,    7422.03,             7363.58,   -24.22,  21659.11,           23071.98,      9.82,     26.76,          57.33,  +1.70,  +1.65
  9,     UK002B,       0,  0.363028, 2459436.585052786861,  40.05003,  59.40215,               53.11706,  59.89276,        53.12139,       59.89433,     40.05003,     +59.40215,      40.04779,      +59.40018,  3989987.96,  -804097.74,  5008584.02,      51.086745,       -0.790167,   88595.21,  102149.76,    8350.18,             8291.73,   -38.11,  23003.47,           23069.64,      1.65,      4.49,           9.65,  +1.73,  +1.68
 10,     UK002B,       0,  0.403388, 2459436.585053254385,  40.73570,  59.09602,               53.62962,  59.50579,        53.65841,       59.51619,     40.73570,     +59.09602,      40.71324,      +59.08298,  3989810.38,  -803444.30,  5007948.63,      51.085298,       -0.781812,   87910.28,  101746.13,    9278.74,             9220.29,   -51.85,  23007.11,           23065.53,     10.97,     29.89,          64.55,  +2.24,  +2.20
 11,     UK002B,       0,  0.443728, 2459436.585053720977,  41.34180,  58.76599,               54.18024,  59.14822,        54.17113,       59.14495,     41.34180,     +58.76599,      41.35109,      +58.77010,  3989638.30,  -802811.05,  5007332.88,      51.083894,       -0.773719,   87246.55,  101361.28,   10178.61,            10120.16,   -93.83,  22307.05,           23033.98,     -3.48,     -9.46,          20.52,  +2.67,  +2.64
 12,     UK002B,       0,  0.484048, 2459436.585054187570,  41.90493,  58.46731,               54.65992,  58.81043,        54.63376,       58.80108,     41.90493,     +58.46731,      41.92878,      +58.47907,  3989480.67,  -802231.01,  5006768.87,      51.082608,       -0.766318,   86638.62,  101013.94,   11002.87,            10944.42,  -210.95,  20442.95,           22929.54,    -10.01,    -27.24,          59.26,  +4.33,  +4.31

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.