Orbital Analysis for matched events on 20210813_220922.629_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 308.24° Bg 73.75° Vg 23.49km/s
mass 0.06789g, abs. mag 0.6
Path Details
------------
start -2.09° 54.22° 83.75km
end   -2.08° 54.22° 75.46km

Orbit Details
-------------
Semimajor axis 3.62A.U., eccentricity 0.73, inclination 36.16°, Period 6.90Y, LA Sun 141.08°, last Perihelion 2014-10-09

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: 2459440.423178581055
Time: 2021-08-13 22:09:22.629403 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002X and UK002Z
 Convergence angle = 16.02534 deg
 R.A. = 286.94670  Dec = +52.80202 deg

Best intersection: Stations UK002X and UK002Z with Qconv = 16.03 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1468420.12 +/- 81.34 m
 Y =  -3490026.38 +/- 27.57 m
 Z =   5219065.62 +/- 99.83 m
 Vx =     4597.78 +/- 659.21 m/s
 Vy =   -15093.88 +/- 51.74 m/s
 Vz =    20654.25 +/- 656.51 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.495324e+03, +6.741993e+02, -5.923525e+03, +2.729160e+04, +2.634042e+03, -2.777390e+04
+6.741993e+02, +7.657658e+02, -1.292458e+03, +3.844317e+03, +2.045708e+03, -2.668215e+03
-5.923525e+03, -1.292458e+03, +7.572336e+03, -3.366595e+04, -3.314371e+03, +3.546579e+04
+2.729160e+04, +3.844317e+03, -3.366595e+04, +1.710894e+05, +6.275876e+03, -1.829752e+05
+2.634042e+03, +2.045708e+03, -3.314371e+03, +6.275876e+03, +3.476804e+04, -3.718483e+04
-2.777390e+04, -2.668215e+03, +3.546579e+04, -1.829752e+05, -3.718483e+04, +2.577932e+05

Timing offsets (from input data):
    UK002X: -0.002649 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 22:09:22.629403 UTC
  Lon     = +-2.085459 +/- 0.0012 deg
  Lat     = +54.219978 +/- 0.0007 deg
  Lat geo = +54.039615 +/- 0.0007 deg
  Ht      =   83728.36 +/- 74.28 m

  JD dynamic   = 2459440.423979321960 
  LST apparent = 292.8188059130 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 286.94138 +/- 1.7384 deg
  Dec       = +52.62234 +/- 1.0498 deg
  Azimuth   = 247.86092 +/- 19.0135 deg
  Elevation = +86.15187 +/- 0.4440 deg
  Vavg      =  23.86055 +/- 0.0446 km/s
  Vinit     =  25.99159 +/- 0.4509 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 287.94040 +/- 1.7384 deg
  Dec       = +52.66770 +/- 1.0498 deg
  Azimuth   = 243.86248 +/- 19.0135 deg
  Elevation = +86.70673 +/- 0.4440 deg
  Vavg      =  23.84485 +/- 0.0446 km/s
  Vinit     =  25.97589 +/- 0.4509 km/s
Radiant (geocentric, J2000):
  R.A.   = 286.52851 +/- 1.8164 deg
  Dec    = +52.50889 +/- 1.1114 deg
  Vg     =  23.49316 +/- 0.5019 km/s
  Vinf   =  25.99159 +/- 0.4509 km/s
  Zc     =   3.78384 +/- 0.4480 deg
  Zg     =   3.97495 +/- 0.4743 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 308.23631 +/- 2.1254 deg
  Bg     = +73.75337 +/- 1.4569 deg
  Vh     =  38.81366 +/- 0.4082 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 243.37003 +/- 0.8778 deg
  Bh     = +35.52913 +/- 0.7475 deg
  Vh_x   =  14.15829 +/- 0.4515 km/s
  Vh_y   =  28.23655 +/- 0.2098 km/s
  Vh_z   = -22.55527 +/- 0.6362 km/s
Orbit:
  La Sun = 141.075033 +/- 0.0000 deg
  a      =   3.622685 +/- 0.3688 AU
  e      =   0.730320 +/- 0.0321
  i      =  36.159631 +/- 0.6751 deg
  peri   = 203.705317 +/- 2.6214 deg
  node   = 141.080247 +/- 0.0001 deg
  Pi     = 344.785564 +/- 2.6215 deg
  q      =   0.976964 +/- 0.0074 AU
  f      = 336.288243 +/- 2.6215 deg
  M      = 357.413198 +/- 0.9474 deg
  Q      =   6.268406 +/- 0.7311 AU
  n      =   0.142942 +/- 0.0292 deg/day
  T      =   6.895195 +/- 1.0004 years
  Last perihelion JD = 2456940.007138 (2014-10-09 12:10:16.745076) +/- 367.3180 days
  Tj     =   2.356876 +/- 0.1792
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +8.043147e-04, +1.379677e-04, -9.481905e+00, -5.109198e-08, -9.064409e-04, +2.555105e-04
q   , +1.379677e-04, +3.571901e-05, -1.657013e+00, -1.003119e-08, -2.234079e-04, +5.011314e-05
Tp  , -9.481905e+00, -1.657013e+00, +1.130613e+05, +5.938166e-04, +1.088423e+01, -2.973515e+00
node, -5.109198e-08, -1.003119e-08, +5.938166e-04, +3.868543e-12, +6.432622e-08, -1.934684e-08
peri, -9.064409e-04, -2.234079e-04, +1.088423e+01, +6.432622e-08, +1.405879e-03, -3.215236e-04
i   , +2.555105e-04, +5.011314e-05, -2.973515e+00, -1.934684e-08, -3.215236e-04, +9.678808e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 4.886805
 a2 = 14.638604

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 1.163e-05 s
  Stddev    = 3.41e-03 s

Begin point on the trajectory:
  Lon =    -2.085480 +/- 0.0012 deg
  Lat =    54.219973 +/- 0.0007 deg
  Ht  = 83751.09 +/- 68.14 m
End point on the trajectory:
  Lon =    -2.079107 +/- 0.0012 deg
  Lat =    54.221839 +/- 0.0009 deg
  Ht  = 75458.80 +/- 92.66 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
    UK002X,   False,    -3.059440,    54.994170,   18.00,   5.350072,  14.277317,    81980.97,    75458.80,          0.011069,     25.64,      0.80,              50.65, 1.0000,    True,    True, {"ff_name": "FF_UK002X_20210813_220921_381_0147456.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.007373,  39.160502,    83751.09,    76854.36,          0.015240,     41.48,      6.16,              57.59, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_220920_402_0173824.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,     UK002X,       0,  0.064024, 2459440.423179346137, 320.56035,   7.05676,              143.41709,  36.86456,       143.40986,       36.86504,    320.56035,      +7.05676,     320.56593,       +7.05920,  1468110.32, -3489009.35,  5217673.93,      54.220371,       -2.084087,   81980.97,  135111.38,       0.00,             1751.32,    62.82,      0.00,           25348.28,     -0.42,    -13.68,          20.90,  +2.98,  +2.33
  1,     UK002X,       0,  0.104320, 2459440.423179812264, 320.69180,   6.74304,              143.39907,  36.52509,       143.38000,       36.52633,    320.69180,      +6.74304,     320.70630,       +6.74949,  1467933.14, -3488427.70,  5216878.01,      54.220596,       -2.083313,   80981.61,  134508.31,    1001.59,             2752.91,    17.06,  24855.90,           25348.28,     -1.12,    -36.09,          55.37,  +2.07,  +1.43
  2,     UK002X,       0,  0.144612, 2459440.423180278856, 320.83473,   6.44073,              143.36286,  36.19237,       143.35099,       36.19314,    320.83473,      +6.44073,     320.84412,       +6.44476,  1467760.36, -3487860.48,  5216101.84,      54.220815,       -2.082561,   80007.02,  133924.66,    1978.33,             3729.66,   -53.45,  24241.58,           25348.28,     -0.69,    -22.45,          34.59,  +1.33,  +0.70
  3,     UK002X,       0,  0.184944, 2459440.423180745449, 321.00022,   6.09765,              143.31809,  35.81362,       143.31766,       35.81364,    321.00022,      +6.09765,     321.00133,       +6.09780,  1467565.49, -3487220.75,  5215226.44,      54.221062,       -2.081692,   78907.83,  133272.55,    3079.96,             4831.28,    -0.12,  27313.87,           25348.28,     -0.03,     -0.82,           1.27,  +1.57,  +0.95
  4,     UK002X,       0,  0.225224, 2459440.423181212042, 321.13973,   5.80843,              143.28048,  35.49430,       143.29056,       35.49364,    321.13973,      +5.80843,     321.13317,       +5.80499,  1467402.49, -3486685.66,  5214494.23,      54.221269,       -2.080992,   77988.41,  132730.80,    4001.38,             5752.70,  -125.64,  22875.44,           25013.81,      0.59,     19.06,          29.63,  +1.40,  +0.79
  5,     UK002X,       0,  0.265492, 2459440.423181677703, 321.26023,   5.52619,              143.26178,  35.18802,       143.26509,       35.18780,    321.26023,      +5.52619,     321.25888,       +5.52506,  1467247.91, -3486178.18,  5213799.80,      54.221465,       -2.080337,   77116.41,  132220.61,    4875.26,             6626.58,  -298.40,  21701.50,           24445.47,      0.19,      6.25,           9.75,  +1.87,  +1.26
  6,     UK002X,       0,  0.305772, 2459440.423182144295, 321.41023,   5.24159,              143.21046,  34.86937,       143.23845,       34.86754,    321.41023,      +5.24159,     321.39051,       +5.23195,  1467087.33, -3485651.01,  5213078.43,      54.221669,       -2.079649,   76210.58,  131694.85,    5783.03,             7534.35,  -437.56,  22536.65,           24037.99,      1.65,     52.92,          82.93,  +2.51,  +1.91
  7,     UK002X,       0,  0.346004, 2459440.423182609957, 321.49518,   4.98550,              143.22129,  34.59982,       143.21714,       34.60009,    321.49518,      +4.98550,     321.49976,       +4.98693,  1466954.06, -3485213.52,  5212479.77,      54.221839,       -2.079107,   75458.80,  131260.78,    6536.39,             8287.71,  -729.89,  18725.39,           23426.20,     -0.24,     -7.85,          12.34,  +3.23,  +2.64
  0,     UK002Z,       0,  0.000000, 2459440.423178581055, 197.41936,  44.80880,              304.80346,  30.97473,       304.82674,       30.97607,    197.41936,     +44.80880,     197.40023,      +44.82350,  1468424.15, -3490039.60,  5219083.72,      54.219973,       -2.085480,   83751.09,  159847.92,       0.00,               22.78,    -1.64,      0.00,           26034.38,     -8.21,    -55.20,          72.02,  +3.83,  +2.81
  1,     UK002Z,       0,  0.040256, 2459440.423179047182, 197.07301,  44.59188,              304.83856,  30.64801,       304.84960,       30.64864,    197.07301,     +44.59188,     197.06408,      +44.59885,  1468229.90, -3489401.90,  5218211.10,      54.220219,       -2.084615,   82655.44,  159239.46,    1098.12,             1075.34,     4.61,  27278.31,           26034.38,     -3.89,    -26.16,          34.26,  +2.15,  +1.14
  2,     UK002Z,       0,  0.080492, 2459440.423179512843, 196.74790,  44.39119,              304.87577,  30.34298,       304.87062,       30.34269,    196.74790,     +44.39119,     196.75250,      +44.38794,  1468049.78, -3488810.62,  5217402.00,      54.220448,       -2.083825,   81639.53,  158680.54,    2116.30,             2093.52,   -23.01,  25305.32,           26034.38,      1.81,     12.20,          16.03,  +1.88,  +0.88
  3,     UK002Z,       0,  0.120748, 2459440.423179978505, 196.44966,  44.15941,              304.87409,  30.02784,       304.89210,       30.02887,    196.44966,     +44.15941,     196.43519,      +44.17077,  1467866.33, -3488208.37,  5216577.88,      54.220680,       -2.083017,   80604.76,  158115.80,    3153.37,             3130.60,   -32.25,  25761.97,           26034.38,     -6.35,    -42.66,          56.26,  +1.26,  +0.27
  4,     UK002Z,       0,  0.161012, 2459440.423180444632, 196.07015,  43.93859,              304.93258,  29.68057,       304.91613,       29.67962,    196.07015,     +43.93859,     196.08455,      +43.92821,  1467663.59, -3487542.79,  5215667.11,      54.220938,       -2.082106,   79461.16,  157496.41,    4299.51,             4276.73,    67.36,  28465.48,           26469.25,      5.79,     38.96,          51.58,  +1.19,  +0.20
  5,     UK002Z,       0,  0.201236, 2459440.423180910293, 195.80539,  43.73384,              304.93549,  29.40059,       304.93465,       29.40054,    195.80539,     +43.73384,     195.80693,      +43.73330,  1467502.91, -3487015.32,  5214945.33,      54.221142,       -2.081418,   78554.85,  157011.38,    5207.80,             5185.03,   -69.83,  22580.94,           26038.38,      0.30,      1.99,           2.65,  +1.29,  +0.31
  6,     UK002Z,       0,  0.241480, 2459440.423181375954, 195.46357,  43.52904,              304.98730,  29.08262,       304.95612,       29.08082,    195.46357,     +43.52904,     195.49076,      +43.50941,  1467319.91, -3486414.56,  5214123.26,      54.221374,       -2.080611,   77522.60,  156462.43,    6242.31,             6219.53,   -81.33,  25705.81,           25848.84,     10.95,     73.76,          98.31,  +1.69,  +0.72
  7,     UK002Z,       0,  0.281652, 2459440.423181840684, 195.27350,  43.37104,              304.98316,  28.87288,       304.96913,       28.87207,    195.27350,     +43.37104,     195.28648,      +43.36221,  1467201.46, -3486025.68,  5213591.12,      54.221524,       -2.080148,   76854.36,  156112.49,    6911.96,             6889.18,  -455.82,  16669.50,           25006.48,      4.93,     33.19,          44.33,  +2.31,  +1.34

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.