Orbital Analysis for matched events on 20211015_205420.516_UK

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Summary for Event
-----------------
shower ID 208 SPE
Lg 87.86° Bg 15.08° Vg 65.56km/s
mass 0.01005g, abs. mag 0.6
best visual mag 1.6
Path Details
------------
start 1.57° 53.23° 112.05km
end   1.31° 53.11° 103.50km

Orbit Details
-------------
Semimajor axis 460.36A.U., eccentricity 1.00, inclination 148.38°, Period 9877.46Y, LA Sun 202.42°, last Perihelion 1-01-01

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: 2459503.371070796158
Time: 2021-10-15 20:54:20.516788 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 22.07311 deg
 R.A. =  86.94699  Dec = +38.86252 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 22.07 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3653009.74 +/- 50.69 m
 Y =  -1346861.16 +/- 33.27 m
 Z =   5175655.43 +/- 30.08 m
 Vx =     2439.43 +/- 230.19 m/s
 Vy =    51656.20 +/- 299.87 m/s
 Vz =    41789.14 +/- 253.39 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):
    UK002K: 0.000000 s
    UK0032: 0.000251 s

Reference point on the trajectory:
  Time: 2021-10-15 20:54:20.516788 UTC
  Lon     = ++1.571591 +/- 0.0007 deg
  Lat     = +53.229153 +/- 0.0001 deg
  Lat geo = +53.047636 +/- 0.0001 deg
  Ht      =  112066.89 +/- 45.55 m

  JD dynamic   = 2459503.371871537063 
  LST apparent = 339.7611181872 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  87.29625 +/- 0.2415 deg
  Dec       = +38.94117 +/- 0.0407 deg
  Azimuth   =  52.75021 +/- 0.1615 deg
  Elevation = +21.29613 +/- 0.1204 deg
  Vavg      =  64.13457 +/- 0.2453 km/s
  Vinit     =  66.48794 +/- 0.3448 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  87.20197 +/- 0.2415 deg
  Dec       = +38.79496 +/- 0.0407 deg
  Azimuth   =  52.90857 +/- 0.1615 deg
  Elevation = +21.22555 +/- 0.1204 deg
  Vavg      =  64.34540 +/- 0.2453 km/s
  Vinit     =  66.69878 +/- 0.3448 km/s
Radiant (geocentric, J2000):
  R.A.   =  87.35590 +/- 0.2459 deg
  Dec    = +38.49818 +/- 0.0418 deg
  Vg     =  65.55578 +/- 0.3496 km/s
  Vinf   =  66.48794 +/- 0.3448 km/s
  Zc     =  68.81381 +/- 0.1208 deg
  Zg     =  69.36785 +/- 0.1275 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  87.85711 +/- 0.1991 deg
  Bg     = +15.08015 +/- 0.0425 deg
  Vh     =  42.16205 +/- 0.3979 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  68.35691 +/- 0.1450 deg
  Bh     = +23.86310 +/- 0.1014 deg
  Vh_x   = -14.22104 +/- 0.2369 km/s
  Vh_y   = -35.83947 +/- 0.3235 km/s
  Vh_z   = -17.05677 +/- 0.1153 km/s
Orbit:
  La Sun = 202.424993 +/- 0.0000 deg
  a      = 460.358800 +/- 119.5916 AU
  e      =   0.998711 +/- 0.0231
  i      = 148.381336 +/- 0.0767 deg
  peri   = 259.056536 +/- 0.7011 deg
  node   = 202.423214 +/- 0.0000 deg
  Pi     = 101.479750 +/- 0.7011 deg
  q      =   0.593390 +/- 0.0019 AU
  f      = 280.941660 +/- 0.7011 deg
  M      = 359.996203 +/- nan deg
  Q      = 920.124211 +/- 239.1840 AU
  n      =   0.000100 +/- 0.0154 deg/day
  T      = 9877.460719 +/- nan years
  Last perihelion JD = 1721425.500000 (0001-01-01 00:00:00) +/- 0.0000 days
  Tj     =  -0.801729 +/- 0.2067
Shower association:
  IAU No.  =  208
  IAU code =  SPE

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 = 18.185927
 a2 = 10.877157

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 3.759e-06 s
  Stddev    = 1.94e-03 s

Begin point on the trajectory:
  Lon =     1.571202 +/- 0.0007 deg
  Lat =    53.228976 +/- 0.0001 deg
  Ht  = 112053.94 +/- 45.52 m
End point on the trajectory:
  Lon =     1.311858 +/- 0.0008 deg
  Lat =    53.110745 +/- 0.0001 deg
  Ht  = 103499.67 +/- 47.35 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   7.483415,  15.000794,   112053.94,   105530.15,          0.003729,     10.14,      4.72,              47.96, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20211015_205419_148_0291072.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,  17.205192,  10.965037,   111773.07,   103499.67,          0.008759,     22.80,      1.29,              30.76, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20211015_205421_514_0293632.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,     UK002K,       0,  0.000000, 2459503.371070796158,  32.97526,  23.17394,              104.02010,  38.94261,       104.02015,       38.94224,     32.97526,     +23.17394,      32.97547,      +23.17363,  3653008.43, -1346888.86,  5175633.02,      53.228976,       +1.571202,  112053.94,  175929.21,       0.00,               35.66,    64.92,      0.00,           67456.79,      0.48,      1.03,           1.33,  +3.48,  +2.25
  1,     UK002K,       0,  0.040024, 2459503.371071259491,  32.40500,  22.85319,              104.80503,  39.02055,       104.80621,       39.01195,     32.40500,     +22.85319,      32.41021,      +22.84589,  3652916.79, -1348829.44,  5174063.12,      53.216532,       +1.543777,  111147.17,  174271.41,    2497.77,             2533.42,   -98.43,  62406.73,           67456.79,     11.09,     23.86,          31.14,  +1.97,  +0.76
  2,     UK002K,       0,  0.080072, 2459503.371071722824,  31.72896,  22.44534,              105.76091,  39.08849,       105.76085,       39.08893,     31.72896,     +22.44534,      31.72904,      +22.44571,  3652807.97, -1351133.84,  5172198.90,      53.201743,       +1.511254,  110071.46,  172330.97,    5463.80,             5499.46,   204.90,  74062.07,           67456.79,     -0.55,     -1.19,           1.57,  +1.99,  +0.81
  3,     UK002K,       0,  0.120108, 2459503.371072186157,  31.13296,  22.09300,              106.60060,  39.15130,       106.60070,       39.15040,     31.13296,     +22.09300,      31.13400,      +22.09224,  3652714.40, -1353115.07,  5170596.11,      53.189017,       +1.483277,  109147.53,  170685.29,    8013.89,             8049.55,    93.08,  63694.93,           67456.79,      1.14,      2.45,           3.26,  +1.68,  +0.52
  4,     UK002K,       0,  0.160140, 2459503.371072649490,  30.54139,  21.73894,              107.44002,  39.20760,       107.44020,       39.20577,     30.54139,     +21.73894,      30.54314,      +21.73740,  3652622.79, -1355055.00,  5169026.73,      53.176546,       +1.455888,  108243.69,  169095.71,   10510.83,            10546.48,   -71.63,  62373.39,           66284.27,      2.29,      4.92,           6.62,  +1.72,  +0.58
  5,     UK002K,       0,  0.200184, 2459503.371073113289,  29.92217,  21.35739,              108.32981,  39.25491,       108.32957,       39.25769,     29.92217,     +21.35739,      29.92136,      +21.35972,  3652527.71, -1357068.52,  5167397.83,      53.163592,       +1.427475,  107306.43,  167469.81,   13102.47,            13138.13,  -142.43,  64719.97,           65725.72,     -3.43,     -7.39,          10.03,  +1.75,  +0.63
  6,     UK002K,       0,  0.240220, 2459503.371073576622,  29.32831,  20.99041,              109.18632,  39.29646,       109.18596,       39.30136,     29.32831,     +20.99041,      29.32640,      +20.99449,  3652437.98, -1358968.59,  5165860.69,      53.151359,       +1.400662,  106422.78,  165957.79,   15548.10,            15583.76,  -358.71,  61085.80,           65029.14,     -5.99,    -12.87,          17.65,  +2.19,  +1.09
  7,     UK002K,       0,  0.280248, 2459503.371074039955,  28.71554,  20.61654,              110.06871,  39.34003,       110.06872,       39.33972,     28.71554,     +20.61654,      28.71690,      +20.61629,  3652347.25, -1360889.70,  5164306.55,      53.138980,       +1.373562,  105530.15,  164452.21,   18020.81,            18056.47,  -547.38,  61774.35,           64467.74,      0.37,      0.79,           1.09,  +3.19,  +2.11
  8,     UK002K,       1,  0.320296, 2459503.371074503288,  28.14251,  20.23821,              110.91793,  39.35468,       110.91715,       39.37042,     28.14251,     +20.23821,      28.13445,      +20.25126,  3652261.68, -1362701.75,  5162840.62,      53.127295,       +1.347998,  104688.93,  163053.48,   20353.14,            20388.80,  -877.76,  58238.50,           63790.32,    -18.90,    -40.63,          56.69,  +6.14,  +5.08
  0,     UK0032,       0,  0.013514, 2459503.371070950758,  45.97845,  42.20937,               75.20613,  44.81683,        75.19545,       44.82475,     45.97845,     +42.20937,      45.97642,      +42.22022,  3652980.06, -1347489.78,  5175146.89,      53.225124,       +1.562705,  111773.07,  157189.28,       0.00,              809.11,   -60.14,      0.00,           66074.65,     -1.73,    -30.02,          39.46,  +2.30,  +1.32
  1,     UK0032,       0,  0.053254, 2459503.371071410365,  45.27907,  42.16102,               75.71260,  45.19453,        75.72564,       45.18481,     45.27907,     +42.16102,      45.28197,      +42.14780,  3652880.92, -1349588.93,  5173448.71,      53.211659,       +1.533058,  110792.50,  154878.02,    2701.87,             3510.98,    -0.50,  67988.63,           66074.65,      2.05,     36.09,          48.15,  +2.17,  +1.22
  2,     UK0032,       0,  0.093010, 2459503.371071870439,  44.54180,  42.06072,               76.30499,  45.56340,        76.30016,       45.56703,     44.54180,     +42.06072,      44.54114,      +42.06562,  3652778.07, -1351766.93,  5171686.73,      53.197678,       +1.502313,  109776.13,  152494.09,    5505.23,             6314.34,   159.57,  70514.22,           66074.65,     -0.75,    -13.19,          17.87,  +1.91,  +0.99
  3,     UK0032,       0,  0.132782, 2459503.371072330978,  43.91136,  41.99475,               76.79232,  45.89194,        76.79456,       45.89024,     43.91136,     +41.99475,      43.91242,      +41.99247,  3652693.07, -1353566.74,  5170230.71,      53.186114,       +1.476886,  108937.01,  150533.91,    7821.81,             8630.92,  -168.21,  58246.45,           66074.65,      0.34,      6.05,           8.30,  +1.55,  +0.66
  4,     UK0032,       0,  0.172506, 2459503.371072790585,  43.12734,  41.90479,               77.41123,  46.29677,        77.42010,       46.29000,     43.12734,     +41.90479,      43.13018,      +41.89579,  3652589.98, -1355749.81,  5168464.64,      53.172077,       +1.446089,  107920.17,  148172.09,   10631.69,            11440.79,     0.50,  70735.00,           66370.88,      1.33,     23.57,          32.87,  +1.88,  +1.03
  5,     UK0032,       0,  0.212278, 2459503.371073251124,  42.43840,  41.79697,               77.99194,  46.63587,        77.98319,       46.64261,     42.43840,     +41.79697,      42.43709,      +41.80585,  3652501.08, -1357632.27,  5166941.75,      53.159963,       +1.419519,  107044.17,  146147.41,   13054.65,            13863.76,  -220.89,  60921.37,           65676.63,     -1.31,    -23.00,          32.51,  +1.99,  +1.17
  6,     UK0032,       0,  0.251994, 2459503.371073710732,  41.65556,  41.70078,               78.62631,  47.03844,        78.62803,       47.03710,     41.65556,     +41.70078,      41.65706,      +41.69903,  3652403.56, -1359697.38,  5165271.11,      53.146664,       +1.390396,  106084.07,  143941.50,   15712.70,            16521.80,  -203.48,  66926.33,           65562.50,      0.25,      4.46,           6.40,  +2.03,  +1.24
  7,     UK0032,       0,  0.291742, 2459503.371074170806,  40.95514,  41.60955,               79.20418,  47.39640,        79.21452,       47.38832,     40.95514,     +41.60955,      40.95918,      +41.59907,  3652318.53, -1361497.85,  5163814.56,      53.135059,       +1.364991,  105247.75,  142030.19,   18030.12,            18839.23,  -528.82,  58302.98,           64910.02,      1.49,     26.47,          38.50,  +3.03,  +2.27
  8,     UK0032,       1,  0.331514, 2459503.371074631345,  40.20546,  41.44088,               79.91099,  47.73702,        79.86846,       47.77073,     40.20546,     +41.44088,      40.19461,      +41.48412,  3652227.61, -1363423.23,  5162256.96,      53.122641,       +1.337842,  104354.20,  140000.64,   20508.33,            21317.43,  -694.98,  62310.20,           64432.04,     -6.24,   -107.83,         159.13,  +3.29,  +2.56
  9,     UK0032,       0,  0.371210, 2459503.371075090487,  39.44030,  41.37481,               80.51316,  48.15055,        80.52171,       48.14372,     39.44030,     +41.37481,      39.44439,      +41.36613,  3652140.58, -1365266.16,  5160766.05,      53.110745,       +1.311858,  103499.67,  138071.70,   22880.41,            23689.51,  -962.20,  59756.15,           63934.07,      1.20,     21.40,          32.03,  +3.95,  +3.25

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.