Orbital Analysis for matched events on 20210810_001840.729_UK

Summary for Event
-----------------
shower ID 164 NZC
Lg 341.91° Bg 14.36° Vg 36.69km/s
mass 0.02438g, abs. mag 0.7
Path Details
------------
start -1.49° 52.02° 96.49km
end   -1.55° 52.10° 86.67km

Orbit Details
-------------
Semimajor axis 2.27A.U., eccentricity 0.92, inclination 31.93°, Period 3.42Y, LA Sun 137.32°, last Perihelion 2018-04-16

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: 2459436.512971405871
Time: 2021-08-10 00:18:40.729467 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 24.20800 deg
 R.A. = 337.80740  Dec =  +6.58089 deg

Best intersection: Stations UK000S and UK001Z with Qconv = 24.21 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3141402.28 +/- 24.66 m
 Y =  -2464379.41 +/- 20.31 m
 Z =   5080243.61 +/- 54.48 m
 Vx =    35225.45 +/- 72.10 m/s
 Vy =   -14317.35 +/- 121.24 m/s
 Vz =     4904.67 +/- 281.32 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.565260e+02, +8.823411e+01, +5.504451e+02, -1.245085e+02, +1.543743e+03, +2.880045e+03
+8.823411e+01, +4.385865e+02, +5.461992e+02, -5.585412e+01, +2.568180e+03, +4.079457e+03
+5.504451e+02, +5.461992e+02, +3.142287e+03, -1.534134e+03, +2.463808e+03, +1.089695e+04
-1.245085e+02, -5.585412e+01, -1.534134e+03, +1.824360e+03, -3.287790e+02, -7.652740e+03
+1.543743e+03, +2.568180e+03, +2.463808e+03, -3.287790e+02, +2.370942e+04, +3.458626e+04
+2.880045e+03, +4.079457e+03, +1.089695e+04, -7.652740e+03, +3.458626e+04, +7.990847e+04

Timing offsets (from input data):
    UK000S: 0.000000 s
    UK001Z: 0.000504 s

Reference point on the trajectory:
  Time: 2021-08-10 00:18:40.729467 UTC
  Lon     = +-1.489301 +/- 0.0003 deg
  Lat     = +52.019348 +/- 0.0003 deg
  Lat geo = +51.835312 +/- 0.0003 deg
  Ht      =   96517.77 +/- 45.68 m

  JD dynamic   = 2459436.513772146776 
  LST apparent = 321.8863880438 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 337.88077 +/- 0.2058 deg
  Dec       =  +7.34995 +/- 0.4158 deg
  Azimuth   = 157.89251 +/- 0.3739 deg
  Elevation = +43.43633 +/- 0.3731 deg
  Vavg      =  37.57868 +/- 0.0262 km/s
  Vinit     =  38.33894 +/- 0.0383 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 338.30161 +/- 0.2058 deg
  Dec       =  +7.33445 +/- 0.4158 deg
  Azimuth   = 157.33954 +/- 0.3739 deg
  Elevation = +43.32264 +/- 0.3731 deg
  Vavg      =  37.65927 +/- 0.0262 km/s
  Vinit     =  38.41953 +/- 0.0383 km/s
Radiant (geocentric, J2000):
  R.A.   = 337.86341 +/- 0.2093 deg
  Dec    =  +6.19247 +/- 0.4238 deg
  Vg     =  36.69469 +/- 0.0400 km/s
  Vinf   =  38.33894 +/- 0.0383 km/s
  Zc     =  46.39320 +/- 0.3728 deg
  Zg     =  47.46926 +/- 0.3803 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 341.91054 +/- 0.3371 deg
  Bg     = +14.35762 +/- 0.3404 deg
  Vh     =  36.86883 +/- 0.1646 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 293.20513 +/- 0.1354 deg
  Bh     = +14.29016 +/- 0.3747 deg
  Vh_x   = -14.07772 +/- 0.0388 km/s
  Vh_y   =  32.83764 +/- 0.2250 km/s
  Vh_z   =  -9.10043 +/- 0.2034 km/s
Orbit:
  La Sun = 137.321583 +/- -0.0000 deg
  a      =   2.269533 +/- 0.0802 AU
  e      =   0.921392 +/- 0.0022
  i      =  31.932488 +/- 0.8080 deg
  peri   = 315.910097 +/- 0.3777 deg
  node   = 137.328225 +/- 0.0002 deg
  Pi     =  93.238323 +/- 0.3776 deg
  q      =   0.178402 +/- 0.0018 AU
  f      = 224.082939 +/- 0.3776 deg
  M      = 349.120377 +/- 0.5179 deg
  Q      =   4.360663 +/- 0.1594 AU
  n      =   0.288270 +/- 0.0132 deg/day
  T      =   3.419049 +/- 0.1868 years
  Last perihelion JD = 2458225.425554 (2018-04-16 22:12:47.884295) +/- 68.3350 days
  Tj     =   2.728711 +/- 0.0670
Shower association:
  IAU No.  =  164
  IAU code =  NZC

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.201303e-06, +1.035807e-06, -1.549838e-01, +8.277850e-09, -1.015517e-05, -3.312948e-05
q   , +1.035807e-06, +3.333620e-06, -6.650937e-02, +9.375646e-10, -1.117292e-05, -3.995381e-06
Tp  , -1.549838e-01, -6.650937e-02, +5.036285e+03, -2.391603e-04, +4.067705e-01, +9.587348e-01
node, +8.277850e-09, +9.375646e-10, -2.391603e-04, +1.340441e-11, -1.407599e-08, -5.352007e-08
peri, -1.015517e-05, -1.117292e-05, +4.067705e-01, -1.407599e-08, +4.660324e-05, +5.705698e-05
i   , -3.312948e-05, -3.995381e-06, +9.587348e-01, -5.352007e-08, +5.705698e-05, +2.138527e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000000
 a2 = 65.830647

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 6.875e-06 s
  Stddev    = 2.62e-03 s

Begin point on the trajectory:
  Lon =    -1.489444 +/- 0.0003 deg
  Lat =    52.019566 +/- 0.0004 deg
  Ht  = 96492.66 +/- 32.64 m
End point on the trajectory:
  Lon =    -1.547274 +/- 0.0004 deg
  Lat =    52.104818 +/- 0.0005 deg
  Ht  = 86672.26 +/- 49.05 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,  14.332949,   0.000000,    96492.66,    86950.59,          0.013136,     33.34,     17.65,              95.95, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_001837_660_0360704.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000099,  39.006918,    94879.75,    86672.26,          0.015041,     49.71,      3.30,              87.53, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210810_001833_359_0355840.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,     UK000S,       0,  0.000000, 2459436.512971405871, 115.87164,  73.50522,                8.71866,  35.60507,         8.71511,       35.60624,    115.87164,     +73.50522,     115.87960,      +73.50730,  3141368.73, -2464365.77,  5080238.94,      52.019566,       -1.489444,   96492.66,  163353.81,       0.00,               36.52,   -11.65,      0.00,           38754.07,      4.16,      7.86,          11.23,  +2.66,  +1.59
  1,     UK000S,       0,  0.040424, 2459436.512971873395, 117.09694,  73.13880,                8.45900,  35.14347,         8.47747,       35.13738,    117.09694,     +73.13880,     117.05429,      +73.12820,  3140036.86, -2463824.43,  5080053.49,      52.028201,       -1.495299,   95496.06,  163484.24,    1449.59,             1486.11,  -111.87,  35859.64,           38754.07,    -21.75,    -41.05,          58.62,  +2.03,  +0.96
  2,     UK000S,       0,  0.080920, 2459436.512972342316, 118.36111,  72.68343,                8.20154,  34.59510,         8.20632,       34.59352,    118.36111,     +72.68343,     118.35021,      +72.68074,  3138490.92, -2463196.09,  5079838.24,      52.038227,       -1.502074,   94339.47,  163651.89,    3132.17,             3168.70,    18.14,  41549.38,           38754.07,     -5.67,    -10.70,          15.26,  +1.68,  +0.61
  3,     UK000S,       0,  0.121372, 2459436.512972810306, 119.45503,  72.26231,                7.97071,  34.09556,         7.96231,       34.09832,    119.45503,     +72.26231,     119.47457,      +72.26695,  3137081.76, -2462623.34,  5079642.03,      52.047368,       -1.508269,   93285.41,  163819.56,    4665.88,             4702.40,     0.96,  37914.23,           38754.07,     10.01,     18.90,          26.93,  +1.49,  +0.42
  4,     UK000S,       0,  0.161824, 2459436.512973278761, 120.54751,  71.84140,                7.72333,  33.59729,         7.71926,       33.59863,    120.54751,     +71.84140,     120.55726,      +71.84361,  3135658.20, -2462044.73,  5079443.82,      52.056606,       -1.514530,   92220.74,  164003.39,    6215.27,             6251.79,    -0.54,  38301.93,           38672.90,      4.88,      9.22,          13.12,  +1.53,  +0.46
  5,     UK000S,       0,  0.202268, 2459436.512973746751, 121.58268,  71.42593,                7.47866,  33.11023,         7.48375,       33.10856,    121.58268,     +71.42593,     121.57172,      +71.42321,  3134260.10, -2461476.48,  5079249.16,      52.065681,       -1.520687,   91175.30,  164197.99,    7736.94,             7773.46,   -29.45,  37624.04,           38499.93,     -6.14,    -11.59,          16.47,  +1.35,  +0.27
  6,     UK000S,       0,  0.242752, 2459436.512974215206, 122.60866,  70.95688,                7.23758,  32.57323,         7.23114,       32.57534,    122.60866,     +70.95688,     122.62399,      +70.96025,  3132736.47, -2460857.20,  5079037.01,      52.075574,       -1.527386,   90036.19,  164426.03,    9395.25,             9431.77,    76.75,  40962.11,           38702.13,      7.82,     14.76,          20.95,  +1.52,  +0.44
  7,     UK000S,       0,  0.283172, 2459436.512974683195, 123.42072,  70.54014,                7.04724,  32.10473,         7.01512,       32.11525,    123.42072,     +70.54014,     123.49382,      +70.55669,  3131419.34, -2460321.85,  5078853.62,      52.084129,       -1.533204,   89051.62,  164636.23,   10828.79,            10865.31,   -39.37,  35466.21,           38516.97,     39.22,     74.09,         105.03,  +1.29,  +0.21
  8,     UK000S,       0,  0.323632, 2459436.512975151185, 124.42735,  70.09447,                6.77678,  31.59407,         6.77426,       31.59490,    124.42735,     +70.09447,     124.43409,      +70.09575,  3129926.84, -2459715.23,  5078645.81,      52.093825,       -1.539779,   87936.16,  164889.40,   12453.21,            12489.73,    33.86,  40148.80,           38539.34,      3.10,      5.85,           8.28,  +1.74,  +0.65
  9,     UK000S,       0,  0.364048, 2459436.512975619175, 125.17704,  69.67427,                6.58693,  31.12850,         6.56372,       31.13608,    125.17704,     +69.67427,     125.22974,      +69.68583,  3128607.92, -2459179.15,  5078462.16,      52.102397,       -1.545613,   86950.59,  165126.00,   13888.70,            13925.22,   -80.16,  35517.84,           38386.10,     28.69,     54.16,          76.56,  +1.76,  +0.67
  0,     UK001Z,       0,  0.056582, 2459436.512972051278,  73.74890,  54.60890,               37.53293,  29.19379,        37.53122,       29.19502,     73.74890,     +54.60890,      73.74943,      +54.61082,  3139213.11, -2463489.62,  5079938.80,      52.033543,       -1.498883,   94879.75,  189984.79,       0.00,             2382.67,   165.20,      0.00,           37698.37,      0.42,      6.40,           6.97,  +2.52,  +1.13
  1,     UK001Z,       0,  0.096886, 2459436.512972517870,  74.41185,  54.55897,               37.24098,  28.90233,        37.24807,       28.89726,     74.41185,     +54.55897,      74.40972,      +54.55107,  3138035.31, -2463010.90,  5079774.80,      52.041182,       -1.504086,   93998.65,  189924.40,    1281.90,             3664.57,   -98.11,  31805.88,           37698.37,     -1.75,    -26.48,          28.82,  +2.62,  +1.23
  2,     UK001Z,       0,  0.137262, 2459436.512972984929,  75.21279,  54.47765,               36.90132,  28.53625,        36.90567,       28.53314,     75.21279,     +54.47765,      75.21163,      +54.47280,  3136600.03, -2462427.54,  5079574.96,      52.050494,       -1.510393,   92925.10,  189863.91,    2844.04,             5226.71,   -83.94,  38689.82,           37698.37,     -1.07,    -16.29,          17.74,  +2.56,  +1.17
  3,     UK001Z,       0,  0.177666, 2459436.512973452918,  76.09119,  54.40236,               36.51500,  28.14765,        36.53427,       28.13393,     76.09119,     +54.40236,      76.08459,      +54.38092,  3135031.56, -2461790.03,  5079356.57,      52.060673,       -1.517276,   91752.15,  189813.11,    4551.15,             6933.82,    74.12,  42250.85,           37698.37,     -4.78,    -72.19,          78.62,  +2.20,  +0.81
  4,     UK001Z,       0,  0.218022, 2459436.512973919977,  76.84373,  54.32093,               36.19350,  27.80373,        36.21517,       27.78834,     76.84373,     +54.32093,      76.83598,      +54.29684,  3133676.95, -2461239.45,  5079167.96,      52.069467,       -1.523248,   90739.29,  189780.79,    6025.49,             8408.16,     1.25,  36533.35,           37953.96,     -5.39,    -81.26,          88.52,  +2.31,  +0.92
  5,     UK001Z,       0,  0.258394, 2459436.512974387035,  77.60179,  54.19688,               35.89670,  27.42651,        35.88903,       27.43194,     77.60179,     +54.19688,      77.60577,      +54.20539,  3132283.48, -2460673.08,  5078973.94,      52.078516,       -1.529390,   89697.55,  189759.72,    7542.13,             9924.80,   -29.93,  37566.61,           37971.62,      1.89,     28.78,          31.35,  +1.80,  +0.41
  6,     UK001Z,       0,  0.298774, 2459436.512974854559,  78.42626,  54.12268,               35.52708,  27.06517,        35.54507,       27.05245,     78.42626,     +54.12268,      78.41952,      +54.10274,  3130803.43, -2460071.51,  5078767.86,      52.088130,       -1.535909,   88591.28,  189751.04,    9152.99,            11535.66,    32.81,  39892.70,           38183.83,     -4.49,    -67.60,          73.65,  +2.04,  +0.65
  7,     UK001Z,       0,  0.339118, 2459436.512975321151,  79.14977,  54.01990,               35.22632,  26.72043,        35.23853,       26.71182,     79.14977,     +54.01990,      79.14546,      +54.00638,  3129477.31, -2459532.51,  5078583.21,      52.096747,       -1.541771,   87600.22,  189754.30,   10596.33,            12979.00,   -70.60,  35775.65,           38071.68,     -3.05,    -45.92,          50.03,  +2.88,  +1.49
  8,     UK001Z,       0,  0.379442, 2459436.512975788210,  79.82637,  53.92520,               34.94134,  26.40049,        34.95294,       26.39232,     79.82637,     +53.92520,      79.82230,      +53.91237,  3128235.44, -2459027.76,  5078410.30,      52.104818,       -1.547274,   86672.26,  189766.96,   11947.96,            14330.63,  -264.95,  33519.28,           37716.22,     -2.90,    -43.71,          47.61,  +3.67,  +2.28

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.