Orbital Analysis for matched events on 20211103_230933.427_UK

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Summary for Event
-----------------
shower ID 445 KUM
Lg 132.63° Bg 30.06° Vg 67.22km/s
mass 0.07545g, abs. mag -1.4
best visual mag 0.6
Path Details
------------
start 3.09° 53.32° 113.28km
end   2.82° 53.16° 101.72km

Orbit Details
-------------
Semimajor axis -6.47A.U., eccentricity 1.15, inclination 129.87°, Period nanY, LA Sun 221.45°, 

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: 2459522.464970228262
Time: 2021-11-03 23:09:33.427722 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK0032
 Convergence angle = 13.40870 deg
 R.A. = 144.95609  Dec = +45.29803 deg

Best intersection: Stations UK000Z and UK0032 with Qconv = 13.41 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3225217.14 +/- 188.30 m
 Y =   2167482.90 +/- 474.54 m
 Z =   5182645.05 +/- 223.71 m
 Vx =   -39690.31 +/- 755.42 m/s
 Vy =    26150.05 +/- 1845.14 m/s
 Vz =    48815.62 +/- 1714.47 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan

Timing offsets (from input data):
    UK000Z: 0.000000 s
    UK0032: 0.000072 s

Reference point on the trajectory:
  Time: 2021-11-03 23:09:33.427722 UTC
  Lon     = ++3.089758 +/- 0.0073 deg
  Lat     = +53.319282 +/- 0.0007 deg
  Lat geo = +53.137964 +/- 0.0007 deg
  Ht      =  113173.56 +/- 244.25 m

  JD dynamic   = 2459522.465770969167 
  LST apparent = 33.9027772012 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 146.62102 +/- 1.3353 deg
  Dec       = +45.76421 +/- 0.4418 deg
  Azimuth   =  44.97471 +/- 1.1104 deg
  Elevation = +24.43484 +/- 0.2489 deg
  Vavg      =  65.91282 +/- 1.6539 km/s
  Vinit     =  68.13304 +/- 1.8789 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 146.48982 +/- 1.3353 deg
  Dec       = +45.60708 +/- 0.4418 deg
  Azimuth   =  45.15926 +/- 1.1104 deg
  Elevation = +24.36525 +/- 0.2489 deg
  Vavg      =  66.09550 +/- 1.6539 km/s
  Vinit     =  68.31572 +/- 1.8789 km/s
Radiant (geocentric, J2000):
  R.A.   = 146.70321 +/- 1.3594 deg
  Dec    = +45.47039 +/- 0.4194 deg
  Vg     =  67.22384 +/- 1.9032 km/s
  Vinf   =  68.13304 +/- 1.8789 km/s
  Zc     =  65.69349 +/- 0.2512 deg
  Zg     =  66.19043 +/- 0.2780 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 132.62981 +/- 0.8444 deg
  Bg     = +30.06233 +/- 0.7435 deg
  Vh     =  43.88530 +/- 1.5138 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 133.00096 +/- 1.6817 deg
  Bh     = +50.11612 +/- 1.8665 deg
  Vh_x   =  19.19228 +/- 0.7460 km/s
  Vh_y   = -20.58051 +/- 2.1433 km/s
  Vh_z   = -33.67519 +/- 0.1990 km/s
Orbit:
  La Sun = 221.453072 +/- 0.0000 deg
  a      =  -6.466102 +/- 5.7336 AU
  e      =   1.153359 +/- 0.1530
  i      = 129.873601 +/- 1.8688 deg
  peri   = 178.147339 +/- 2.0006 deg
  node   = 221.453884 +/- 0.0000 deg
  Pi     =  39.601222 +/- 2.0006 deg
  q      =   0.991634 +/- 0.0005 AU
  f      =   1.853396 +/- 2.0005 deg
  M      =        nan +/- nan deg
  Q      = -13.923838 +/- 11.4674 AU
  n      =   0.059943 +/- 0.1209 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -1.626164 +/- 0.8645
Shower association:
  IAU No.  =  445
  IAU code =  KUM

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +nan, +nan, +nan, +nan, +nan, +nan
q   , +nan, +nan, +nan, +nan, +nan, +nan
Tp  , +nan, +nan, +nan, +nan, +nan, +nan
node, +nan, +nan, +nan, +nan, +nan, +nan
peri, +nan, +nan, +nan, +nan, +nan, +nan
i   , +nan, +nan, +nan, +nan, +nan, +nan

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000461
 a2 = 33.925034

Mean time residuals from time vs. length:
  Station with reference time: UK000Z
  Avg. res. = 1.197e-05 s
  Stddev    = 3.46e-03 s

Begin point on the trajectory:
  Lon =     3.092144 +/- 0.0071 deg
  Lat =    53.320712 +/- 0.0003 deg
  Ht  = 113277.60 +/- 237.74 m
End point on the trajectory:
  Lon =     2.824619 +/- 0.0063 deg
  Lat =    53.160610 +/- 0.0001 deg
  Ht  = 101719.99 +/- 212.03 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,   0.006711,  27.901433,   113277.60,   101719.99,          0.019135,     41.87,    104.11,              37.31, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20211103_230928_275_0541184.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.002852,  28.933592,   113231.86,   101985.33,          0.014047,      8.95,     55.52,              30.86, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20211103_230930_991_0145152.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,     UK000Z,       0,  0.000000, 2459522.464970228262, 113.57980,  18.11367,               83.12413,  17.64911,        83.11462,       17.61227,    113.57980,     +18.11367,     113.61155,      +18.09067,  3225070.65,  2167579.42,  5182825.22,      53.320712,       +3.092144,  113277.60,  345955.66,       0.00,              251.48,  1010.30,      0.00,           65297.17,    212.66,    -85.26,         136.60,  +3.94,  +1.24
  1,     UK000Z,       0,  0.040072, 2459522.464970692061, 113.44787,  17.89702,               83.36924,  17.55913,        83.36769,       17.55321,    113.44787,     +17.89702,     113.45315,      +17.89333,  3226456.67,  2166666.24,  5181120.53,      53.307180,       +3.069405,  112293.63,  344095.85,    2379.27,             2127.79,   156.39,  59374.87,           65297.17,     34.03,    -13.68,          21.99,  +2.56,  -0.12
  2,     UK000Z,       0,  0.080144, 2459522.464971155860, 113.29162,  17.66893,               83.64074,  17.47471,        83.64428,       17.48820,    113.29162,     +17.66893,     113.28033,      +17.67732,  3227955.54,  2165678.70,  5179277.05,      53.292536,       +3.044837,  111230.34,  342092.83,    4952.26,             4700.78,    -0.85,  64209.06,           65297.17,    -76.97,     30.98,          50.03,  +1.85,  -0.82
  3,     UK000Z,       0,  0.120188, 2459522.464971619193, 113.07917,  17.43204,               83.96180,  17.41699,        83.96080,       17.41318,    113.07917,     +17.43204,     113.08295,      +17.42968,  3229650.90,  2164561.71,  5177191.91,      53.275962,       +3.017080,  110028.67,  339838.01,    7862.54,             7611.06,   181.11,  72677.08,           65297.17,     21.58,     -8.67,          14.12,  +1.50,  -1.16
  4,     UK000Z,       0,  0.160248, 2459522.464972082991, 112.90321,  17.19749,               84.25293,  17.33925,        84.25399,       17.34326,    112.90321,     +17.19749,     112.90043,      +17.19998,  3231202.75,  2163539.27,  5175283.27,      53.260779,       +2.991669,  108929.65,  337782.04,   10526.46,            10274.99,   115.63,  66498.46,           66238.84,    -22.61,      9.09,          14.88,  +1.20,  -1.44
  5,     UK000Z,       0,  0.200324, 2459522.464972546790, 112.73842,  16.95031,               84.54358,  17.24494,        84.55081,       17.27197,    112.73842,     +16.95031,     112.71596,      +16.96708,  3232756.04,  2162515.88,  5173372.86,      53.245571,       +2.966243,  107830.50,  335732.82,   13192.88,            12941.40,    51.54,  66533.87,           66550.10,   -151.59,     61.08,         100.41,  +1.03,  -1.60
  6,     UK000Z,       0,  0.240368, 2459522.464973010123, 112.53587,  16.71630,               84.85514,  17.18347,        84.85889,       17.19744,    112.53587,     +16.71630,     112.52484,      +16.72497,  3234349.77,  2161465.85,  5171412.70,      53.229957,       +2.940170,  106703.66,  333639.72,   15928.70,            15677.23,    59.05,  68320.54,           66850.85,    -77.91,     31.36,          51.92,  +1.24,  -1.38
  7,     UK000Z,       0,  0.280428, 2459522.464973473921, 112.35329,  16.47246,               85.15752,  17.10233,        85.16320,       17.12332,    112.35329,     +16.47246,     112.33637,      +16.48548,  3235905.87,  2160440.61,  5169498.84,      53.214701,       +2.914718,  105604.34,  331604.93,   18599.92,            18348.44,     0.85,  66680.38,           66961.97,   -116.42,     46.88,          78.07,  +1.02,  -1.58
  8,     UK000Z,       0,  0.320476, 2459522.464973937254, 112.15143,  16.23326,               85.47200,  17.03631,        85.47487,       17.04686,    112.15143,     +16.23326,     112.14368,      +16.23980,  3237481.41,  2159402.56,  5167561.06,      53.199243,       +2.888960,  104492.20,  329554.21,   21304.52,            21053.05,   -23.13,  67534.09,           67051.96,    -58.20,     23.42,          39.26,  +1.24,  -1.35
  9,     UK000Z,       0,  0.360524, 2459522.464974401053, 111.95267,  15.99895,               85.78089,  16.97221,        85.78066,       16.97135,    111.95267,     +15.99895,     111.95493,      +15.99841,  3239009.63,  2158395.69,  5165681.48,      53.184239,       +2.863979,  103414.34,  327573.94,   23927.89,            23676.42,  -128.36,  65505.58,           67013.45,      4.74,     -1.91,           3.22,  +1.62,  -0.96
 10,     UK000Z,       0,  0.400572, 2459522.464974864386, 111.78355,  15.78028,               86.05632,  16.90255,        86.05641,       16.90288,    111.78355,     +15.78028,     111.78494,      +15.78048,  3240373.20,  2157497.30,  5164004.41,      53.170843,       +2.841680,  102453.32,  325813.63,   26268.62,            26017.14,  -516.22,  58448.04,           66603.23,     -1.75,      0.71,           1.20,  +3.26,  +0.70
 11,     UK000Z,       0,  0.440636, 2459522.464975328185, 111.68007,  15.59259,               86.25990,  16.81772,        86.26883,       16.85000,    111.68007,     +15.59259,     111.65410,      +15.61253,  3241414.32,  2156811.36,  5162723.93,      53.160610,       +2.824619,  101719.99,  324472.05,   28055.82,            27804.34, -1458.71,  44608.54,           65520.45,   -175.40,     70.68,         120.21,  +4.45,  +1.89
  0,     UK0032,       0,  0.016690, 2459522.464970419649, 112.17121,  27.94225,               78.58204,  26.99062,        78.58188,       26.97967,    112.17121,     +27.94225,     112.17968,      +27.93419,  3225135.04,  2167537.00,  5182746.02,      53.320083,       +3.091026,  113231.86,  241703.03,       0.00,              140.93,  -237.41,      0.00,           71676.12,     45.62,     -7.34,          39.43,  +2.94,  +1.02
  1,     UK0032,       0,  0.056766, 2459522.464970883448, 111.84341,  27.64929,               79.04376,  26.96612,        79.04392,       26.97486,    111.84341,     +27.64929,     111.83694,      +27.65570,  3227002.26,  2166306.78,  5180449.51,      53.301851,       +3.060453,  111906.49,  238994.33,    3205.29,             3064.36,   -44.48,  79980.35,           71676.12,    -36.00,      5.82,          31.47,  +1.95,  +0.06
  2,     UK0032,       0,  0.096798, 2459522.464971346781, 111.51956,  27.41933,               79.45594,  26.98633,        79.45557,       26.96946,    111.51956,     +27.41933,     111.53291,      +27.40698,  3228631.40,  2165233.41,  5178445.81,      53.285930,       +3.033768,  110751.16,  236640.03,    6001.90,             5860.97,    24.63,  69859.30,           71676.12,     68.80,    -11.06,          60.74,  +1.30,  -0.57
  3,     UK0032,       0,  0.136862, 2459522.464971810579, 111.23955,  27.16928,               79.85110,  26.96575,        79.85104,       26.96323,    111.23955,     +27.16928,     111.24205,      +27.16745,  3230166.84,  2164221.79,  5176557.35,      53.270915,       +3.008617,  109663.18,  234429.61,    8637.66,             8496.73,   -69.29,  65788.80,           71676.12,     10.16,     -1.64,           9.05,  +0.97,  -0.88
  4,     UK0032,       0,  0.176914, 2459522.464972273912, 110.92983,  26.91550,               80.27161,  26.96005,        80.27147,       26.95534,    110.92983,     +26.91550,     110.93419,      +26.91206,  3231768.27,  2163166.68,  5174587.73,      53.255243,       +2.982403,  108529.36,  232134.25,   11386.70,            11245.77,   -49.12,  68636.75,           70418.84,     18.85,     -3.04,          16.96,  +0.61,  -1.22
  5,     UK0032,       0,  0.216990, 2459522.464972738177, 110.64885,  26.64006,               80.68723,  26.92118,        80.68808,       26.94633,    110.64885,     +26.64006,     110.63042,      +26.65833,  3233324.86,  2162141.11,  5172673.26,      53.240000,       +2.956927,  107428.20,  229912.56,   14058.78,            13917.85,  -107.54,  66675.25,           69524.50,    -99.63,     16.13,          90.55,  +0.60,  -1.21
  6,     UK0032,       0,  0.257038, 2459522.464973201510, 110.31379,  26.36802,               81.14126,  26.91703,        81.14193,       26.93501,    110.31379,     +26.36802,     110.30104,      +26.38107,  3234987.34,  2161045.79,  5170628.55,      53.223708,       +2.929740,  106253.14,  227551.30,   16912.62,            16771.69,    17.71,  71260.45,           69391.12,    -70.54,     11.41,          64.78,  +0.63,  -1.16
  7,     UK0032,       0,  0.297082, 2459522.464973664843, 109.98987,  26.10967,               81.57729,  26.91656,        81.57755,       26.92287,    109.98987,     +26.10967,     109.98625,      +26.11424,  3236551.70,  2160015.10,  5168704.52,      53.208366,       +2.904158,  105148.35,  225339.38,   19598.03,            19457.10,   -25.20,  67061.55,           69141.49,    -24.53,      3.96,          22.75,  +0.65,  -1.11
  8,     UK0032,       0,  0.337106, 2459522.464974128176, 109.65589,  25.86893,               82.00837,  26.93533,        82.00724,       26.90962,    109.65589,     +25.86893,     109.67706,      +25.85035,  3238065.71,  2159017.59,  5166842.42,      53.193508,       +2.879403,  104079.98,  223208.39,   22197.00,            22056.07,  -153.18,  64935.35,           68744.83,     98.96,    -15.87,          92.61,  +1.10,  -0.64
  9,     UK0032,       0,  0.377182, 2459522.464974591974, 109.33624,  25.56077,               82.47924,  26.89507,        82.47916,       26.89346,    109.33624,     +25.56077,     109.33905,      +25.55962,  3239696.29,  2157943.28,  5164836.96,      53.177495,       +2.852764,  102930.32,  220925.48,   24996.07,            24855.14,   -84.61,  69844.11,           68602.83,      6.12,     -0.99,           5.79,  +2.26,  +0.54
 10,     UK0032,       0,  0.417230, 2459522.464975055773, 109.05482,  25.31584,               82.87458,  26.87936,        82.87456,       26.87896,    109.05482,     +25.31584,     109.05687,      +25.31555,  3241037.59,  2157059.56,  5163187.27,      53.164313,       +2.830829,  101985.33,  219054.89,   27298.58,            27157.65,  -510.69,  57493.72,           68020.50,      1.51,     -0.24,           1.44,  +2.81,  +1.11

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.