Orbital Analysis for matched events on 20210813_012928.357_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 308.45° Bg 76.76° Vg 25.00km/s
mass 0.03403g, abs. mag 0.9
Path Details
------------
start -1.31° 52.85° 94.11km
end   -1.23° 52.82° 83.64km

Orbit Details
-------------
Semimajor axis 4.68A.U., eccentricity 0.79, inclination 38.52°, Period 10.13Y, LA Sun 140.25°, last Perihelion 2011-07-11

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: 2459439.562133766711
Time: 2021-08-13 01:29:28.357444 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK002Z
 Convergence angle = 62.42267 deg
 R.A. = 287.41591  Dec = +55.89757 deg

Best intersection: Stations UK002H and UK002Z with Qconv = 62.42 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3740970.39 +/- 64.34 m
 Y =  -1160421.99 +/- 44.50 m
 Z =   5135569.60 +/- 39.93 m
 Vx =     4508.43 +/- 217.89 m/s
 Vy =   -14709.71 +/- 52.48 m/s
 Vz =    22618.11 +/- 220.73 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.462085e+03, +1.018095e+03, +1.394036e+03, +1.258142e+04, +3.660369e+03, +4.564406e+03
+1.018095e+03, +2.109342e+03, +4.466150e+02, +1.112714e+03, +6.176327e+03, +2.584113e+03
+1.394036e+03, +4.466150e+02, +1.754771e+03, +3.446915e+03, +1.627755e+03, +5.409900e+03
+1.258142e+04, +1.112714e+03, +3.446915e+03, +4.303288e+04, +5.389605e+03, +1.077508e+04
+3.660369e+03, +6.176327e+03, +1.627755e+03, +5.389605e+03, +2.080654e+04, +3.671473e+03
+4.564406e+03, +2.584113e+03, +5.409900e+03, +1.077508e+04, +3.671473e+03, +3.343453e+04

Timing offsets (from input data):
    UK002H: 0.000000 s
    UK002Z: -0.000259 s

Reference point on the trajectory:
  Time: 2021-08-13 01:29:28.357444 UTC
  Lon     = +-1.312973 +/- 0.0008 deg
  Lat     = +52.850536 +/- 0.0004 deg
  Lat geo = +52.667827 +/- 0.0004 deg
  Ht      =   94113.30 +/- 57.63 m

  JD dynamic   = 2459439.562934507616 
  LST apparent = 342.7664875506 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 287.03996 +/- 0.7438 deg
  Dec       = +55.77599 +/- 0.3112 deg
  Azimuth   = 297.97633 +/- 0.5762 deg
  Elevation = +58.24636 +/- 0.4309 deg
  Vavg      =  26.29781 +/- 0.0752 km/s
  Vinit     =  27.35472 +/- 0.1641 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 287.64827 +/- 0.7438 deg
  Dec       = +56.18525 +/- 0.3112 deg
  Azimuth   = 298.51909 +/- 0.5762 deg
  Elevation = +58.69665 +/- 0.4309 deg
  Vavg      =  26.16624 +/- 0.0752 km/s
  Vinit     =  27.22314 +/- 0.1641 km/s
Radiant (geocentric, J2000):
  R.A.   = 284.47508 +/- 0.7763 deg
  Dec    = +55.26118 +/- 0.3288 deg
  Vg     =  24.99709 +/- 0.1799 km/s
  Vinf   =  27.35472 +/- 0.1641 km/s
  Zc     =  31.83972 +/- 0.4310 deg
  Zg     =  33.31159 +/- 0.4592 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 308.45282 +/- 1.8761 deg
  Bg     = +76.75919 +/- 0.3194 deg
  Vh     =  39.51765 +/- 0.1470 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 241.20025 +/- 0.3022 deg
  Bh     = +38.00643 +/- 0.2982 deg
  Vh_x   =  15.00054 +/- 0.1946 km/s
  Vh_y   =  27.28616 +/- 0.1449 km/s
  Vh_z   = -24.33299 +/- 0.1796 km/s
Orbit:
  La Sun = 140.248161 +/- -0.0000 deg
  a      =   4.682373 +/- 0.2810 AU
  e      =   0.789111 +/- 0.0128
  i      =  38.518001 +/- 0.3118 deg
  peri   = 199.542418 +/- 0.5828 deg
  node   = 140.253657 +/- 0.0000 deg
  Pi     = 339.796074 +/- 0.5828 deg
  q      =   0.987462 +/- 0.0015 AU
  f      = 340.452069 +/- 0.5828 deg
  M      = 358.560004 +/- 0.1731 deg
  Q      =   8.377284 +/- 0.5614 AU
  n      =   0.097276 +/- 0.0090 deg/day
  T      =  10.132105 +/- 0.9099 years
  Last perihelion JD = 2455753.550419 (2011-07-11 01:12:36.207070) +/- 332.6258 days
  Tj     =   2.023186 +/- 0.0643
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.726325e-04, +7.394666e-06, -4.479541e+00, +1.038915e-09, -6.930799e-05, -6.963589e-06
q   , +7.394666e-06, +2.415482e-06, -1.958058e-01, +4.070169e-10, -1.641027e-05, -2.602019e-06
Tp  , -4.479541e+00, -1.958058e-01, +1.172356e+05, -2.851665e-05, +1.821817e+00, +1.910706e-01
node, +1.038915e-09, +4.070169e-10, -2.851665e-05, +7.853677e-13, -2.694356e-09, -4.997027e-09
peri, -6.930799e-05, -1.641027e-05, +1.821817e+00, -2.694356e-09, +1.139261e-04, +1.726530e-05
i   , -6.963589e-06, -2.602019e-06, +1.910706e-01, -4.997027e-09, +1.726530e-05, +3.179617e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 8.430174
 a2 = 8.685996

Mean time residuals from time vs. length:
  Station with reference time: UK002H
  Avg. res. = 1.574e-05 s
  Stddev    = 3.97e-03 s

Begin point on the trajectory:
  Lon =    -1.312969 +/- 0.0007 deg
  Lat =    52.850534 +/- 0.0004 deg
  Ht  = 94112.77 +/- 50.63 m
End point on the trajectory:
  Lon =    -1.231035 +/- 0.0005 deg
  Lat =    52.823523 +/- 0.0003 deg
  Ht  = 83637.62 +/- 40.97 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   1.549887,  13.180796,    94112.77,    84230.82,          0.031273,     70.43,     17.47,              75.59, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20210813_012926_377_0458496.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,  14.650159,   7.063607,    90824.79,    83637.62,          0.019334,     44.08,      3.18,              47.85, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_012926_548_0470272.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,     UK002H,       0,  0.000000, 2459439.562133766711,  17.53750,  16.98773,              128.62881,  44.16555,       128.55021,       44.17166,     17.53750,     +16.98773,      17.58527,      +17.02055,  3740970.29, -1160421.65,  5135569.08,      52.850534,       -1.312969,   94112.77,  134007.02,       0.00,                0.63,     0.57,      0.00,           26844.67,    -31.92,   -128.74,         204.16,  +5.22,  +4.58
  1,     UK002H,       1,  0.080752, 2459439.562134701293,  18.21987,  16.07819,              128.45083,  43.05264,       128.39299,       43.05714,     18.21987,     +16.07819,      18.25578,      +16.10268,  3740525.49, -1158970.42,  5133337.63,      52.844631,       -1.294954,   91818.13,  133380.55,    2698.76,             2699.39,   490.38,  33420.34,           26844.67,    -23.81,    -96.03,         153.01,  +6.04,  +5.41
  2,     UK002H,       0,  0.120872, 2459439.562135165557,  18.34614,  15.93441,              128.40139,  42.86799,       128.36979,       42.87044,     18.34614,     +15.93441,      18.36586,      +15.94782,  3740450.70, -1158726.40,  5132962.41,      52.843638,       -1.292035,   91432.29,  133275.98,    3152.55,             3153.18,  -153.29,  11310.91,           26844.67,    -13.04,    -52.58,          83.84,  +3.06,  +2.44
  3,     UK002H,       0,  0.161248, 2459439.562135633081,  18.65339,  15.48221,              128.34855,  42.32905,       128.29663,       42.33309,     18.65339,     +15.48221,      18.68626,      +15.50437,  3740238.00, -1158032.41,  5131895.32,      52.840812,       -1.283424,   90335.08,  132998.36,    4443.11,             4443.73,    32.79,  31963.38,           26844.67,    -21.56,    -86.94,         138.92,  +2.29,  +1.67
  4,     UK002H,       0,  0.201520, 2459439.562136099208,  18.97132,  15.14979,              128.20470,  41.88957,       128.23751,       41.88702,     18.97132,     +15.14979,      18.95074,      +15.13571,  3740061.94, -1157457.96,  5131012.03,      52.838471,       -1.276324,   89426.89,  132776.40,    5511.38,             5512.00,    -0.57,  26526.36,           26709.42,     13.71,     55.23,          88.40,  +2.74,  +2.12
  5,     UK002H,       0,  0.241892, 2459439.562136566266,  19.23413,  14.70651,              128.19527,  41.37875,       128.17089,       41.38065,     19.23413,     +14.70651,      19.25015,      +14.71704,  3739862.91, -1156808.59,  5130013.53,      52.835824,       -1.268274,   88400.29,  132536.15,    6718.98,             6719.60,   102.66,  29911.86,           27026.92,    -10.24,    -41.30,          66.22,  +3.27,  +2.66
  6,     UK002H,       0,  0.282136, 2459439.562137032393,  19.44543,  14.41717,              128.14380,  41.02655,       128.12626,       41.02792,     19.44543,     +14.41717,      19.45729,      +14.42477,  3739724.39, -1156356.64,  5129318.60,      52.833981,       -1.262721,   87685.80,  132373.10,    7559.44,             7560.07,  -157.74,  20884.17,           26606.25,     -7.40,    -29.83,          47.89,  +2.20,  +1.59
  7,     UK002H,       0,  0.322456, 2459439.562137498986,  19.79351,  14.02982,              128.00174,  40.52425,       128.06113,       40.51964,     19.79351,     +14.02982,      19.75586,      +14.00393,  3739525.81, -1155708.75,  5128322.39,      52.831337,       -1.254688,   86661.63,  132151.14,    8764.28,             8764.90,   -55.84,  29881.85,           26649.81,     25.22,    101.59,         163.37,  +1.81,  +1.20
  8,     UK002H,       0,  0.362748, 2459439.562137965113,  19.97274,  13.68490,              128.02099,  40.13819,       128.01393,       40.13874,     19.97274,     +13.68490,      19.97827,      +13.68799,  3739377.19, -1155223.85,  5127576.78,      52.829358,       -1.248716,   85895.10,  131990.19,    9666.02,             9666.65,  -256.28,  22380.21,           26416.96,     -3.01,    -12.14,          19.54,  +1.98,  +1.38
  9,     UK002H,       0,  0.403032, 2459439.562138431240,  20.24421,  13.34590,              127.93345,  39.71383,       127.96118,       39.71168,     20.24421,     +13.34590,      20.22719,      +13.33370,  3739211.10, -1154681.95,  5126743.54,      52.827145,       -1.242022,   85038.51,  131818.11,   10673.75,            10674.38,  -350.50,  25015.77,           26222.22,     11.88,     47.89,          77.20,  +1.11,  +0.51
 10,     UK002H,       0,  0.443308, 2459439.562138897367,  20.48517,  13.01533,              127.87433,  39.31104,       127.91215,       39.30810,     20.48517,     +13.01533,      20.46160,      +12.99862,  3739054.49, -1154170.97,  5125957.85,      52.825057,       -1.235718,   84230.82,  131662.23,   11623.99,            11624.61,  -502.01,  23593.00,           26001.08,     16.28,     65.60,         105.89,  +2.46,  +1.86
  0,     UK002Z,       0,  0.142033, 2459439.562135383487, 315.70242,  11.14533,              218.36069,  42.09158,       218.34423,       42.10286,    315.70242,     +11.14533,     315.71827,      +11.15119,  3740332.94, -1158342.16,  5132371.59,      52.842073,       -1.287253,   90824.79,  134275.42,       0.00,             3867.72,   -17.60,      0.00,           26234.06,      2.79,    -38.85,          59.83,  +3.44,  +2.80
  1,     UK002Z,       0,  0.222193, 2459439.562136311084, 315.95808,  10.42891,              217.68984,  41.52036,       217.66455,       41.53756,    315.95808,     +10.42891,     315.98277,      +10.43790,  3739952.77, -1157101.80,  5130464.38,      52.837019,       -1.271893,   88863.83,  132811.67,    2306.61,             6174.34,    96.26,  28775.13,           26234.06,      4.26,    -59.15,          92.11,  +5.39,  +4.77
  2,     UK002Z,       0,  0.262237, 2459439.562136774883, 316.08193,  10.15249,              217.40309,  41.30820,       217.39867,       41.31120,    316.08193,     +10.15249,     316.08669,      +10.15406,  3739803.86, -1156615.92,  5129717.28,      52.835038,       -1.265911,   88095.70,  132245.82,    3210.17,             7077.89,   -95.58,  22564.04,           26234.06,      0.74,    -10.30,          16.11,  +2.76,  +2.15
  3,     UK002Z,       0,  0.302305, 2459439.562137238681, 316.19734,   9.83556,              217.10868,  41.05469,       217.10362,       41.05812,    316.19734,      +9.83556,     316.20288,       +9.83736,  3739639.18, -1156078.64,  5128891.14,      52.832847,       -1.259277,   87246.33,  131623.86,    4209.32,             8077.05,  -192.47,  24936.49,           26234.06,      0.85,    -11.75,          18.47,  +2.52,  +1.92
  4,     UK002Z,       0,  0.342385, 2459439.562137702480, 316.30475,   9.51001,              216.82189,  40.78968,       216.80617,       40.80027,    316.30475,      +9.51001,     316.32072,       +9.51560,  3739473.47, -1155537.97,  5128059.79,      52.830640,       -1.252599,   86391.64,  131002.57,    5214.77,             9082.49,  -283.40,  25085.98,           25834.99,      2.62,    -36.33,          57.35,  +1.48,  +0.89
  5,     UK002Z,       0,  0.382457, 2459439.562138166279, 316.47319,   9.11066,              216.42842,  40.47670,       216.43243,       40.47401,    316.47319,      +9.11066,     316.47033,       +9.10923,  3739266.38, -1154862.30,  5127020.85,      52.827881,       -1.244210,   85323.62,  130231.55,    6471.28,            10339.00,  -123.05,  31356.26,           26320.95,     -0.66,      9.23,          14.66,  +1.68,  +1.11
  6,     UK002Z,       0,  0.422557, 2459439.562138630077, 316.52993,   8.81964,              216.22360,  40.22477,       216.18324,       40.25181,    316.52993,      +8.81964,     316.56997,       +8.83397,  3739127.55, -1154409.34,  5126324.37,      52.826031,       -1.238641,   84607.61,  129720.47,    7313.62,            11181.34,  -377.64,  21005.93,           26043.97,      6.69,    -92.57,         147.57,  +1.55,  +0.98
  7,     UK002Z,       0,  0.462601, 2459439.562139093876, 316.71371,   8.46040,              215.83543,  39.95298,       215.84320,       39.94779,    316.71371,      +8.46040,     316.70756,       +8.45764,  3738939.46, -1153795.65,  5125380.74,      52.823523,       -1.231035,   83637.62,  129031.74,    8454.85,            12322.58,  -331.79,  28499.61,           26094.26,     -1.28,     17.76,          28.46,  +4.23,  +3.68

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.