Orbital Analysis for matched events on 20210816_223307.371_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 328.21° Bg 78.24° Vg 24.57km/s
mass 0.10911g, abs. mag -0.4
Path Details
------------
start -2.45° 52.74° 91.54km
end   -2.44° 52.74° 85.64km

Orbit Details
-------------
Semimajor axis 2.94A.U., eccentricity 0.66, inclination 39.64°, Period 5.03Y, LA Sun 143.97°, last Perihelion 2016-08-19

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: 2459443.439668650273
Time: 2021-08-16 22:33:07.401076 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002Z and UK003F
 Convergence angle = 66.80128 deg
 R.A. = 293.47967  Dec = +58.83155 deg
Intersection 2 - Stations: UK002Z and UK003G
 Convergence angle = 67.47273 deg
 R.A. = 294.66236  Dec = +59.41463 deg
Intersection 3 - Stations: UK003F and UK003G
 Convergence angle = 1.02579 deg
 R.A. = 159.16302  Dec = +67.52195 deg

Best intersection: Stations UK002Z and UK003G with Qconv = 67.47 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2043161.14 +/- 77.08 m
 Y =  -3351330.35 +/- 64.85 m
 Z =   5125991.06 +/- 92.43 m
 Vx =     4860.88 +/- 600.77 m/s
 Vy =   -13180.15 +/- 394.34 m/s
 Vz =    23018.27 +/- 630.10 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.727814e+03, -1.168477e+03, -4.776335e+03, +3.788246e+04, +2.981455e+03, -3.358135e+04
-1.168477e+03, +3.898878e+03, +3.104079e+03, -3.322892e+03, +2.094230e+04, +2.041784e+04
-4.776335e+03, +3.104079e+03, +9.053098e+03, -2.572067e+04, +1.795054e+04, +3.820644e+04
+3.788246e+04, -3.322892e+03, -2.572067e+04, +2.452844e+05, +1.423194e+04, -2.218627e+05
+2.981455e+03, +2.094230e+04, +1.795054e+04, +1.423194e+04, +2.077872e+05, +1.586623e+05
-3.358135e+04, +2.041784e+04, +3.820644e+04, -2.218627e+05, +1.586623e+05, +3.526062e+05

Timing offsets (from input data):
    UK002Z: 0.000000 s
    UK003F: -0.003593 s
    UK003G: -0.004392 s

Reference point on the trajectory:
  Time: 2021-08-16 22:33:07.401076 UTC
  Lon     = +-2.445165 +/- 0.0010 deg
  Lat     = +52.741227 +/- 0.0009 deg
  Lat geo = +52.558250 +/- 0.0009 deg
  Ht      =   91454.21 +/- 51.69 m

  JD dynamic   = 2459443.440469734836 
  LST apparent = 301.3688551146 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 290.24413 +/- 1.9328 deg
  Dec       = +58.60449 +/- 1.4695 deg
  Azimuth   = 317.56611 +/- 10.9108 deg
  Elevation = +81.43296 +/- 1.3319 deg
  Vavg      =  26.68197 +/- 0.2761 km/s
  Vinit     =  26.96637 +/- 0.2921 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 291.39392 +/- 1.9328 deg
  Dec       = +58.69963 +/- 1.4695 deg
  Azimuth   = 320.72805 +/- 10.9108 deg
  Elevation = +81.82686 +/- 1.3319 deg
  Vavg      =  26.65471 +/- 0.2761 km/s
  Vinit     =  26.93911 +/- 0.2921 km/s
Radiant (geocentric, J2000):
  R.A.   = 289.54693 +/- 2.0265 deg
  Dec    = +58.81876 +/- 1.5369 deg
  Vg     =  24.57049 +/- 0.3219 km/s
  Vinf   =  26.96637 +/- 0.2921 km/s
  Zc     =   8.70296 +/- 1.3370 deg
  Zg     =   9.10832 +/- 1.3950 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 328.21027 +/- 4.7616 deg
  Bg     = +78.24075 +/- 1.4862 deg
  Vh     =  38.08382 +/- 0.4374 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 244.37641 +/- 0.9732 deg
  Bh     = +39.17050 +/- 0.8189 deg
  Vh_x   =  12.76840 +/- 0.4461 km/s
  Vh_y   =  26.62156 +/- 0.5735 km/s
  Vh_z   = -24.05489 +/- 0.4578 km/s
Orbit:
  La Sun = 143.973316 +/- 0.0000 deg
  a      =   2.937620 +/- 0.2923 AU
  e      =   0.663817 +/- 0.0353
  i      =  39.635883 +/- 0.7421 deg
  peri   = 200.221789 +/- 2.5745 deg
  node   = 143.977962 +/- 0.0001 deg
  Pi     = 344.199751 +/- 2.5746 deg
  q      =   0.987578 +/- 0.0068 AU
  f      = 339.772353 +/- 2.5746 deg
  M      = 356.891780 +/- 1.0122 deg
  Q      =   4.887663 +/- 0.5818 AU
  n      =   0.195754 +/- 0.0331 deg/day
  T      =   5.034938 +/- 0.7374 years
  Last perihelion JD = 2457620.275461 (2016-08-19 18:36:39.796960) +/- 270.5869 days
  Tj     =   2.637046 +/- 0.1812
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.186261e-03, +1.085328e-04, -8.971748e+00, +1.723507e-08, -8.990886e-04, -9.909641e-05
q   , +1.085328e-04, +4.971344e-05, -8.403117e-01, -1.119707e-08, -3.275007e-04, +6.744868e-05
Tp  , -8.971748e+00, -8.403117e-01, +6.841572e+04, -1.293916e-04, +6.902944e+00, +7.424692e-01
node, +1.723507e-08, -1.119707e-08, -1.293916e-04, +4.653067e-12, +6.663455e-08, -2.783729e-08
peri, -8.990886e-04, -3.275007e-04, +6.902944e+00, +6.663455e-08, +2.197333e-03, -4.024937e-04
i   , -9.909641e-05, +6.744868e-05, +7.424692e-01, -2.783729e-08, -4.024937e-04, +1.665927e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.156950
 a2 = 31.434383

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 4.451e-06 s
  Stddev    = 2.11e-03 s

Begin point on the trajectory:
  Lon =    -2.445290 +/- 0.0010 deg
  Lat =    52.741310 +/- 0.0010 deg
  Ht  = 91538.48 +/- 66.42 m
End point on the trajectory:
  Lon =    -2.437419 +/- 0.0007 deg
  Lat =    52.735495 +/- 0.0008 deg
  Ht  = 85640.50 +/- 52.23 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
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,    91096.01,    86010.28,          0.044779,    138.95,     47.26,              59.12, 0.7366,    True,    True, {"ff_name": "FF_UK002Z_20210816_223302_936_0219904.fits"}
    UK003F,   False,    -1.802002,    51.351948,  130.00,  58.841614,   0.000000,    91538.48,    85872.80,          0.022303,     69.54,     17.90,              55.03, 0.6715,    True,    True, {"ff_name": "FF_UK003F_20210816_223302_705_0224256.fits"}
    UK003G,   False,    -1.802002,    51.351948,  130.00,   0.504346,  26.069407,    90809.90,    85640.50,          0.040161,    124.91,     32.09,              55.03, 0.6715,    True,    True, {"ff_name": "FF_UK003G_20210816_223258_840_0224512.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,     UK002Z,       0,  0.000000, 2459443.439668650273, 254.66836,   5.84800,              238.03404,  28.14144,       238.09371,       28.13230,    254.66836,      +5.84800,     254.61794,       +5.86680,  2043095.84, -3351153.30,  5125681.85,      52.740874,       -2.444509,   91096.01,  188609.85,       0.00,              362.24,   211.66,      0.00,           25533.31,    -56.61,   -166.45,         192.27,  +3.54,  +2.16
  1,     UK002Z,       0,  0.040164, 2459443.439669115469, 254.58639,   5.64243,              237.99572,  27.92289,       238.05334,       27.91406,    254.58639,      +5.64243,     254.53778,       +5.66061,  2042944.55, -3350743.08,  5124965.43,      52.740056,       -2.443446,   90266.07,  188192.82,     839.30,             1201.54,   -32.12,  20896.86,           25533.31,    -54.65,   -160.70,         186.04,  +3.04,  +1.67
  2,     UK002Z,       0,  0.080388, 2459443.439669580664, 254.47487,   5.36081,              237.94282,  27.62382,       237.99749,       27.61544,    254.47487,      +5.36081,     254.42881,       +5.37810,  2042738.28, -3350183.77,  5123988.62,      52.738941,       -2.441934,   89134.48,  187625.71,    1983.65,             2345.89,    27.54,  28449.39,           25533.31,    -51.83,   -152.41,         176.97,  +1.75,  +0.38
  3,     UK002Z,       0,  0.120588, 2459443.439670046326, 254.38492,   5.09422,              237.87800,  27.34853,       237.94607,       27.33810,    254.38492,      +5.09422,     254.32758,       +5.11579,  2042547.89, -3349667.54,  5123087.06,      52.737911,       -2.440551,   88090.04,  187107.60,    3039.85,             3402.09,    -0.31,  26273.70,           25533.31,    -64.52,   -189.71,         220.90,  +1.84,  +0.48
  4,     UK002Z,       0,  0.160824, 2459443.439670511987, 254.21159,   4.86667,              237.91625,  27.06491,       237.89632,       27.06795,    254.21159,      +4.86667,     254.22900,       +4.86034,  2042363.49, -3349167.55,  5122213.87,      52.736914,       -2.439217,   87078.46,  186610.37,    4062.81,             4425.06,   -62.37,  25424.05,           25682.67,     18.87,     55.51,          64.81,  +1.64,  +0.29
  5,     UK002Z,       0,  0.201028, 2459443.439670977183, 254.12526,   4.58860,              237.84202,  26.78145,       237.84364,       26.78120,    254.12526,      +4.58860,     254.12455,       +4.58911,  2042168.78, -3348639.60,  5121291.83,      52.735860,       -2.437798,   86010.28,  186089.48,    5142.99,             5505.24,   -66.34,  26867.47,           25894.56,     -1.53,     -4.50,           5.27,  +2.70,  +1.35
  0,     UK003F,       0,  0.007386, 2459443.439668993931, 155.37666,  64.51713,              344.34632,  28.72468,       344.32035,       28.72277,    155.37666,     +64.51713,     155.42356,      +64.50644,  2043176.50, -3351372.01,  5126063.80,      52.741310,       -2.445290,   91538.48,  185936.94,       0.00,               85.22,  -264.53,      0.00,           30055.31,    -18.49,     71.82,          82.27,  +4.65,  +3.30
  1,     UK003F,       0,  0.047706, 2459443.439669460524, 155.00135,  64.18116,              344.36791,  28.35198,       344.35175,       28.35079,    155.00135,     +64.18116,     155.03054,      +64.17457,  2042902.03, -3350627.79,  5124764.07,      52.739826,       -2.443224,   90032.81,  185011.12,    1522.66,             1437.43,     0.39,  37764.34,           30055.31,    -11.49,     44.64,          51.39,  +2.91,  +1.57
  2,     UK003F,       0,  0.087930, 2459443.439669926185, 154.66918,  63.95536,              344.42165,  28.08770,       344.37298,       28.08412,    154.66918,     +63.95536,     154.75668,      +63.93562,  2042707.04, -3350099.08,  5123840.71,      52.738772,       -2.441804,   88963.13,  184358.98,    2604.40,             2519.18,    -2.56,  26892.92,           30055.31,    -34.57,    134.27,         155.13,  +1.81,  +0.48
  3,     UK003F,       0,  0.128166, 2459443.439670391846, 154.49016,  63.69722,              344.39310,  27.81894,       344.39394,       27.81900,    154.49016,     +63.69722,     154.48912,      +63.69756,  2042514.55, -3349577.13,  5122929.17,      52.737731,       -2.440404,   87907.13,  183719.18,    3672.29,             3587.06,   -19.69,  26540.59,           30055.31,      0.59,     -2.31,           2.68,  +0.84,  -0.48
  4,     UK003F,       0,  0.168406, 2459443.439670857508, 154.17282,  63.44971,              344.43543,  27.53644,       344.41652,       27.53506,    154.17282,     +63.44971,     154.20705,      +63.44214,  2042309.84, -3349022.07,  5121959.79,      52.736623,       -2.438904,   86784.12,  183042.98,    4807.93,             4722.71,    30.83,  28221.86,           29231.90,    -13.39,     52.05,          60.56,  +1.66,  +0.35
  5,     UK003F,       0,  0.208610, 2459443.439671322703, 153.95925,  63.23761,              344.44634,  27.30390,       344.43415,       27.30301,    153.95925,     +63.23761,     153.98163,      +63.23275,  2042143.72, -3348571.65,  5121173.16,      52.735724,       -2.437718,   85872.80,  182498.10,    5729.48,             5644.26,  -131.78,  22921.84,           28096.21,     -8.62,     33.53,          39.13,  +2.83,  +1.52
  0,     UK003G,       0,  0.016176, 2459443.439669123385, 155.26883,  64.33822,              344.31548,  28.54181,       344.33634,       28.54334,    155.26883,     +64.33822,     155.23124,      +64.34677,  2043043.69, -3351011.89,  5125434.87,      52.740592,       -2.444256,   90809.90,  185487.39,       0.00,              651.58,    64.80,      0.00,           27570.41,     14.82,    -57.64,          66.19,  +2.12,  +0.78
  1,     UK003G,       0,  0.056360, 2459443.439669588581, 155.12589,  64.12445,              344.28609,  28.32070,       344.35305,       28.32557,    155.12589,     +64.12445,     155.00579,      +64.15175,  2042883.60, -3350577.81,  5124676.79,      52.739727,       -2.443120,   89931.70,  184949.80,     888.11,             1539.69,  -130.71,  22101.08,           27570.41,     47.50,   -184.90,         212.91,  +1.63,  +0.29
  2,     UK003G,       0,  0.096648, 2459443.439670054708, 154.71704,  63.85941,              344.35807,  28.00708,       344.37900,       28.00861,    154.71704,     +63.85941,     154.67995,      +63.86789,  2042652.08, -3349950.05,  5123580.44,      52.738475,       -2.441403,   88661.61,  184175.87,    2172.51,             2824.09,    67.27,  31880.40,           27570.41,     14.84,    -57.71,          66.73,  +0.94,  -0.39
  3,     UK003G,       0,  0.136880, 2459443.439670520369, 154.51948,  63.59679,              344.33645,  27.73094,       344.40066,       27.73562,    154.51948,     +63.59679,     154.40563,      +63.62264,  2042454.27, -3349413.70,  5122643.75,      52.737405,       -2.439959,   87576.48,  183519.56,    3269.86,             3921.44,    79.71,  27275.63,           27570.41,     45.44,   -176.90,         205.28,  +1.00,  -0.32
  4,     UK003G,       0,  0.177076, 2459443.439670985565, 154.28011,  63.40471,              344.36622,  27.51275,       344.41717,       27.51647,    154.28011,     +63.40471,     154.19032,      +63.42512,  2042296.56, -3348986.08,  5121896.93,      52.736551,       -2.438842,   86711.28,  182999.86,    4144.77,             4796.35,  -129.32,  21766.17,           26525.05,     36.03,   -140.25,         163.22,  +1.02,  -0.29
  5,     UK003G,       0,  0.217320, 2459443.439671451226, 153.95118,  63.17292,              344.42308,  27.24250,       344.43857,       27.24363,    153.95118,     +63.17292,     153.92463,      +63.17908,  2042101.38, -3348456.84,  5120972.65,      52.735495,       -2.437419,   85640.50,  182359.76,    5227.59,             5879.17,  -131.74,  26906.21,           26280.67,     10.95,    -42.58,          49.73,  +2.46,  +1.16

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.