Orbital Analysis for matched events on 20210813_230418.506_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 32.33° Bg 17.07° Vg 64.15km/s
mass 0.00512g, abs. mag 1.2
Path Details
------------
start -0.16° 51.61° 108.85km
end   -0.40° 51.59° 98.53km

Orbit Details
-------------
Semimajor axis 5.13A.U., eccentricity 0.86, inclination 146.69°, Period 11.63Y, LA Sun 141.11°, last Perihelion 2010-02-05

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: 2459440.461325306445
Time: 2021-08-13 23:04:18.552745 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002C
 Convergence angle = 41.86210 deg
 R.A. =  23.60210  Dec = +28.74480 deg

Best intersection: Stations UK002B and UK002C with Qconv = 41.86 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2514156.68 +/- 209.58 m
 Y =  -3158512.24 +/- 74.71 m
 Z =   5061098.78 +/- 180.36 m
 Vx =    52395.94 +/- 679.21 m/s
 Vy =    22767.48 +/- 360.51 m/s
 Vz =    31225.74 +/- 535.54 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.901357e+04, +1.374626e+04, +3.347179e+04, +5.637122e+04, +2.407824e+04, +5.493155e+04
+1.374626e+04, +5.016181e+03, +1.186757e+04, +2.028234e+04, +9.449711e+03, +2.034075e+04
+3.347179e+04, +1.186757e+04, +2.913281e+04, +4.984140e+04, +2.192359e+04, +5.056681e+04
+5.637122e+04, +2.028234e+04, +4.984140e+04, +1.920342e+05, +6.618153e+04, +1.937283e+05
+2.407824e+04, +9.449711e+03, +2.192359e+04, +6.618153e+04, +2.988344e+04, +7.155441e+04
+5.493155e+04, +2.034075e+04, +5.056681e+04, +1.937283e+05, +7.155441e+04, +2.077440e+05

Timing offsets (from input data):
    UK002B: -0.000098 s
    UK002C: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:04:18.552745 UTC
  Lon     = +-0.155300 +/- 0.0030 deg
  Lat     = +51.606764 +/- 0.0005 deg
  Lat geo = +51.422445 +/- 0.0005 deg
  Ht      =  108851.80 +/- 186.39 m

  JD dynamic   = 2459440.462126582861 
  LST apparent = 308.5195778277 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  23.48628 +/- 0.0870 deg
  Dec       = +28.66037 +/- 0.1822 deg
  Azimuth   =  81.97469 +/- 0.1361 deg
  Elevation = +31.14865 +/- 0.1598 deg
  Vavg      =  64.59637 +/- 0.5863 km/s
  Vinit     =  65.10560 +/- 0.7390 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  23.56248 +/- 0.0870 deg
  Dec       = +28.54081 +/- 0.1822 deg
  Azimuth   =  82.01673 +/- 0.1361 deg
  Elevation = +31.01646 +/- 0.1598 deg
  Vavg      =  64.84603 +/- 0.5863 km/s
  Vinit     =  65.35526 +/- 0.7390 km/s
Radiant (geocentric, J2000):
  R.A.   =  23.56416 +/- 0.0918 deg
  Dec    = +28.21092 +/- 0.1906 deg
  Vg     =  64.15296 +/- 0.7496 km/s
  Vinf   =  65.10560 +/- 0.7390 km/s
  Zc     =  58.87725 +/- 0.1595 deg
  Zg     =  59.35388 +/- 0.1707 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  32.33139 +/- 0.0794 deg
  Bg     = +17.07320 +/- 0.1925 deg
  Vh     =  39.73066 +/- 0.7485 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  16.11884 +/- 0.3465 deg
  Bh     = +28.29886 +/- 0.1407 deg
  Vh_x   = -33.60709 +/- 0.5367 km/s
  Vh_y   =  -9.71216 +/- 0.3807 km/s
  Vh_z   = -18.83514 +/- 0.4298 km/s
Orbit:
  La Sun = 141.111671 +/- 0.0000 deg
  a      =   5.132056 +/- 245.3412 AU
  e      =   0.857266 +/- 0.0516
  i      = 146.687559 +/- 0.0967 deg
  peri   = 246.412192 +/- 2.5798 deg
  node   = 141.106379 +/- 0.0000 deg
  Pi     =  27.518571 +/- 2.5798 deg
  q      =   0.732519 +/- 0.0123 AU
  f      = 293.581078 +/- 2.5798 deg
  M      = 356.687286 +/- nan deg
  Q      =   9.531592 +/- 490.6777 AU
  n      =   0.084775 +/- 0.0256 deg/day
  T      =  11.626197 +/- 249443256.7394 years
  Last perihelion JD = 2455232.996327 (2010-02-05 11:54:42.637770) +/- 186158.0831 days
  Tj     =   0.159514 +/- 0.3792
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.777013e-03, +4.523872e-04, -3.447647e+03, +2.150839e-09, -1.664140e-03, -1.004709e-05
q   , +4.523872e-04, +1.200844e-04, -8.926754e+02, +5.373131e-10, -4.357929e-04, -2.515450e-06
Tp  , -3.447647e+03, -8.926754e+02, +2.542623e+10, -1.834723e-02, +3.186726e+03, +8.587360e+01
node, +2.150839e-09, +5.373131e-10, -1.834723e-02, +1.430030e-13, -1.971132e-09, -6.701335e-10
peri, -1.664140e-03, -4.357929e-04, +3.186726e+03, -1.971132e-09, +1.588957e-03, +9.221447e-06
i   , -1.004709e-05, -2.515450e-06, +8.587360e+01, -6.701335e-10, +9.221447e-06, +3.140360e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 96.112891

Mean time residuals from time vs. length:
  Station with reference time: UK002C
  Avg. res. = 4.916e-06 s
  Stddev    = 2.22e-03 s

Begin point on the trajectory:
  Lon =    -0.155364 +/- 0.0025 deg
  Lat =    51.606759 +/- 0.0005 deg
  Ht  = 108849.06 +/- 168.97 m
End point on the trajectory:
  Lon =    -0.397324 +/- 0.0020 deg
  Lat =    51.585378 +/- 0.0004 deg
  Ht  = 98533.95 +/- 141.88 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   108341.26,   100148.05,          0.013310,     34.06,     12.55,              31.56, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210813_230418_267_0267520.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000002,  62.862151,   108849.06,    98533.95,          0.009196,     23.47,      0.23,              12.40, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210813_230410_025_0260864.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,     UK002B,       0,  0.016737, 2459440.461325695738,  38.75669,  58.85891,               43.18039,  40.93155,        43.18077,       40.93377,     38.75669,     +58.85891,      38.75274,      +58.85989,  2513362.28, -3158857.44,  5060625.35,      51.605721,       -0.167120,  108341.26,  163530.43,       0.00,              987.10,  -107.13,      0.00,           64785.72,      2.21,     -5.99,           8.05,  +4.69,  +3.62
  1,     UK002B,       0,  0.056529, 2459440.461326156277,  39.23353,  59.36948,               42.43713,  41.00667,        42.43700,       41.00589,     39.23353,     +59.36948,      39.23503,      +59.36914,  2510958.26, -3159902.05,  5059192.65,      51.602557,       -0.203225,  106796.90,  160998.32,    2987.16,             3974.27,   289.35,  75069.44,           64785.72,     -0.76,      2.07,           2.83,  +2.68,  +1.65
  2,     UK002B,       0,  0.096365, 2459440.461326617282,  39.57183,  59.75144,               41.88892,  41.07214,        41.88653,       41.05653,     39.57183,     +59.75144,      39.60002,      +59.74441,  2509233.05, -3160651.70,  5058164.51,      51.600278,       -0.229190,  105689.22,  159189.46,    5130.85,             6117.95,  -160.51,  53812.73,           64785.72,    -15.08,     40.97,          56.57,  +3.51,  +2.50
  3,     UK002B,       0,  0.136197, 2459440.461327078287,  40.13444,  60.22619,               41.15742,  41.09598,        41.16062,       41.11873,     40.13444,     +60.22619,      40.09386,      +60.23660,  2507016.47, -3161614.86,  5056843.52,      51.597341,       -0.262511,  104266.80,  156879.84,    7885.11,             8872.21,     0.46,  69146.92,           64785.72,     21.66,    -58.77,          82.35,  +2.03,  +1.05
  4,     UK002B,       0,  0.175989, 2459440.461327538826,  40.51110,  60.67588,               40.52248,  41.18588,        40.52037,       41.16995,     40.51110,     +60.67588,      40.54074,      +60.66852,  2505119.04, -3162439.35,  5055712.73,      51.594818,       -0.291067,  103049.84,  154913.75,   10242.80,            11229.90,  -232.53,  59250.44,           63749.95,    -14.95,     40.63,          57.64,  +1.92,  +0.97
  5,     UK002B,       0,  0.215793, 2459440.461327999830,  41.13345,  61.19093,               39.72957,  41.21341,        39.73128,       41.22777,     41.13345,     +61.19093,      41.10780,      +61.19768,  2502846.00, -3163427.05,  5054358.10,      51.591786,       -0.325252,  101592.81,  152574.61,   13067.20,            14054.31,     0.41,  70957.72,           64483.24,     13.27,    -36.01,          51.88,  +2.72,  +1.80
  6,     UK002B,       0,  0.255561, 2459440.461328459904,  41.70601,  61.73664,               38.92281,  41.28181,        38.92276,       41.28133,     41.70601,     +61.73664,      41.70783,      +61.73642,  2500590.74, -3164407.02,  5053014.06,      51.588766,       -0.359182,  100148.05,  150270.56,   15869.53,            16856.63,   213.61,  70466.82,           65385.46,     -0.43,      1.16,           1.70,  +3.07,  +2.19
  0,     UK002C,       0,  0.000000, 2459440.461325841956,  16.24641,  39.69063,               75.43335,  41.91860,        75.43688,       41.91961,     16.24641,     +39.69063,      16.24327,      +39.68920,  2514152.42, -3158514.10,  5061096.24,      51.606759,       -0.155364,  108849.06,  161074.66,       0.00,                5.30,     0.72,      0.00,           64644.01,     -0.07,     -7.90,          10.12,  +5.29,  +4.25
  1,     UK002C,       0,  0.039820, 2459440.461326302961,  16.11577,  39.87670,               75.31987,  42.11249,        75.33431,       42.11666,     16.11577,     +39.87670,      16.10306,      +39.87085,  2512017.03, -3159441.98,  5059823.64,      51.603952,       -0.187449,  107476.94,  158477.32,    2653.37,             2658.67,    61.58,  66634.00,           64644.01,     -0.28,    -31.77,          41.35,  +2.75,  +1.75
  2,     UK002C,       0,  0.079652, 2459440.461326763965,  15.97430,  40.04579,               75.23011,  42.30203,        75.23626,       42.30381,     15.97430,     +40.04579,      15.96915,      +40.04329,  2510053.13, -3160295.35,  5058653.24,      51.601362,       -0.216979,  106215.69,  156089.85,    5093.65,             5098.95,   -91.43,  61264.34,           64644.01,     -0.12,    -13.29,          17.57,  +2.52,  +1.55
  3,     UK002C,       0,  0.119460, 2459440.461327224504,  15.81531,  40.23738,               75.12614,  42.51554,        75.12476,       42.51514,     15.81531,     +40.23738,      15.81704,      +40.23794,  2507901.45, -3161230.32,  5057370.93,      51.598515,       -0.249325,  104834.61,  153477.15,    7767.26,             7772.56,    -9.54,  67162.73,           64644.01,      0.03,      2.92,           3.93,  +2.21,  +1.28
  4,     UK002C,       0,  0.159268, 2459440.461327685509,  15.66054,  40.43376,               75.01281,  42.72893,        75.01136,       42.72851,     15.66054,     +40.43376,      15.66250,      +40.43435,  2505800.54, -3162143.22,  5056118.88,      51.595725,       -0.280922,  103486.87,  150928.30,   10377.78,            10383.08,     9.26,  65577.79,           64969.83,      0.03,      3.02,           4.13,  +2.26,  +1.37
  5,     UK002C,       0,  0.199064, 2459440.461328146048,  15.50337,  40.64635,               74.88183,  42.95306,        74.88985,       42.95537,     15.50337,     +40.64635,      15.49708,      +40.64309,  2503639.84, -3163082.10,  5054831.19,      51.592846,       -0.313423,  102101.57,  148309.72,   13062.61,            13067.91,   103.15,  67464.79,           65419.16,     -0.15,    -16.33,          22.72,  +2.18,  +1.32
  6,     UK002C,       0,  0.238876, 2459440.461328606587,  15.34258,  40.83614,               74.77620,  43.16497,        74.77666,       43.16510,     15.34258,     +40.83614,      15.34316,      +40.83595,  2501709.89, -3163920.72,  5053681.03,      51.590266,       -0.342478,  100864.88,  145972.27,   15460.70,            15466.00,   -90.75,  60235.32,           65024.31,     -0.01,     -0.93,           1.31,  +2.41,  +1.59
  7,     UK002C,       0,  0.278660, 2459440.461329067126,  15.14964,  41.04655,               74.66645,  43.40813,        74.64743,       43.40266,     15.14964,     +41.04655,      15.16763,      +41.05429,  2499592.11, -3164840.95,  5052418.92,      51.587426,       -0.374355,   99508.57,  143410.80,   18092.19,            18097.49,   -49.42,  66144.40,           64953.04,      0.37,     37.20,          53.51,  +2.72,  +1.94
  8,     UK002C,       0,  0.318500, 2459440.461329528131,  15.01405,  41.20722,               74.57396,  43.58630,        74.55051,       43.57956,     15.01405,     +41.20722,      15.03610,      +41.21677,  2498069.62, -3165502.52,  5051511.58,      51.585378,       -0.397324,   98533.95,  141568.82,   19984.00,            19989.30,  -751.42,  47485.23,           63754.32,      0.45,     45.16,          65.80,  +3.57,  +2.82

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.