Orbital Analysis for matched events on 20211015_205014.266_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 241.11° Bg 79.25° Vg 22.88km/s
mass 0.10525g, abs. mag 0.6
best visual mag 1.0
Path Details
------------
start 0.32° 53.14° 97.94km
end   0.44° 53.08° 84.79km

Orbit Details
-------------
Semimajor axis 4.27A.U., eccentricity 0.77, inclination 34.65°, Period 8.81Y, LA Sun 202.42°, last Perihelion 2021-10-08

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: 2459503.368220678065
Time: 2021-10-15 20:50:14.266585 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002K
 Convergence angle = 35.11716 deg
 R.A. = 264.31157  Dec = +58.22047 deg

Best intersection: Stations UK000Z and UK002K with Qconv = 35.12 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3596421.04 +/- 48.65 m
 Y =  -1491224.72 +/- 16.93 m
 Z =   5158058.22 +/- 33.99 m
 Vx =    -1361.68 +/- 111.61 m/s
 Vy =   -13500.50 +/- 36.59 m/s
 Vz =    21511.62 +/- 44.48 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.431215e+03, +4.386423e+02, +1.101352e+03, +5.305900e+03, +1.419901e+03, +1.894957e+03
+4.386423e+02, +3.008676e+02, -3.239435e+01, +1.038489e+03, +4.279662e+02, +4.886545e+02
+1.101352e+03, -3.239435e+01, +1.220566e+03, +2.509033e+03, +8.925503e+02, +1.006333e+03
+5.305900e+03, +1.038489e+03, +2.509033e+03, +1.287151e+04, +3.678882e+03, +4.594336e+03
+1.419901e+03, +4.279662e+02, +8.925503e+02, +3.678882e+03, +1.513882e+03, +1.618785e+03
+1.894957e+03, +4.886545e+02, +1.006333e+03, +4.594336e+03, +1.618785e+03, +1.900808e+03

Timing offsets (from input data):
    UK000Z: 0.000139 s
    UK002K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-10-15 20:50:14.266585 UTC
  Lon     = ++0.318409 +/- 0.0004 deg
  Lat     = +53.136405 +/- 0.0002 deg
  Lat geo = +52.954320 +/- 0.0002 deg
  Ht      =   97937.88 +/- 48.18 m

  JD dynamic   = 2459503.369021418970 
  LST apparent = 337.4790843728 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 264.24054 +/- 0.4628 deg
  Dec       = +57.75729 +/- 0.1390 deg
  Azimuth   = 306.95431 +/- 0.0845 deg
  Elevation = +50.26354 +/- 0.2762 deg
  Vavg      =  24.81693 +/- 0.0157 km/s
  Vinit     =  25.43359 +/- 0.0140 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 264.59333 +/- 0.4628 deg
  Dec       = +58.27772 +/- 0.1390 deg
  Azimuth   = 307.56427 +/- 0.0845 deg
  Elevation = +50.65723 +/- 0.2762 deg
  Vavg      =  24.67308 +/- 0.0157 km/s
  Vinit     =  25.28973 +/- 0.0140 km/s
Radiant (geocentric, J2000):
  R.A.   = 260.53886 +/- 0.4689 deg
  Dec    = +56.76953 +/- 0.1595 deg
  Vg     =  22.88039 +/- 0.0155 km/s
  Vinf   =  25.43359 +/- 0.0140 km/s
  Zc     =  39.84614 +/- 0.2761 deg
  Zg     =  42.04076 +/- 0.2949 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 241.10962 +/- 1.0803 deg
  Bg     = +79.25429 +/- 0.2306 deg
  Vh     =  39.64311 +/- 0.0189 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 287.45006 +/- 0.2018 deg
  Bh     = +34.54593 +/- 0.0482 deg
  Vh_x   =  -9.79177 +/- 0.1069 km/s
  Vh_y   =  31.15018 +/- 0.0478 km/s
  Vh_z   = -22.48029 +/- 0.0307 km/s
Orbit:
  La Sun = 202.422168 +/- -0.0000 deg
  a      =   4.265259 +/- 0.0307 AU
  e      =   0.767618 +/- 0.0016
  i      =  34.646940 +/- 0.0418 deg
  peri   = 170.570170 +/- 0.3916 deg
  node   = 202.423274 +/- 0.0000 deg
  Pi     =  12.993445 +/- 0.3915 deg
  q      =   0.991168 +/- 0.0004 AU
  f      =   9.428139 +/- 0.3916 deg
  M      =   0.797517 +/- 0.0379 deg
  Q      =   7.539350 +/- 0.0611 AU
  n      =   0.111889 +/- 0.0012 deg/day
  T      =   8.808839 +/- 0.0950 years
  Last perihelion JD = 2459496.241246 (2021-10-08 17:47:23.677327) +/- 0.2953 days
  Tj     =   2.174803 +/- 0.0083
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.824166e-06, +3.535582e-07, +2.461612e-04, +1.141267e-10, +3.207737e-04, -2.167785e-06
q   , +3.535582e-07, +2.017423e-07, +1.342849e-04, -7.935409e-10, +1.781043e-04, +1.542807e-05
Tp  , +2.461612e-04, +1.342849e-04, +8.949614e-02, -5.262398e-07, +1.186714e-01, +1.023085e-02
node, +1.141267e-10, -7.935409e-10, -5.262398e-07, +4.749933e-12, -7.017979e-07, -9.225845e-08
peri, +3.207737e-04, +1.781043e-04, +1.186714e-01, -7.017979e-07, +1.573724e-01, +1.364381e-02
i   , -2.167785e-06, +1.542807e-05, +1.023085e-02, -9.225845e-08, +1.364381e-02, +1.792027e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.315340
 a2 = 10.350440

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 1.517e-05 s
  Stddev    = 3.89e-03 s

Begin point on the trajectory:
  Lon =     0.318349 +/- 0.0004 deg
  Lat =    53.136432 +/- 0.0002 deg
  Ht  = 97943.97 +/- 46.58 m
End point on the trajectory:
  Lon =     0.444187 +/- 0.0003 deg
  Lat =    53.078056 +/- 0.0001 deg
  Ht  = 84794.31 +/- 27.27 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,   1.406055,   8.558704,    94530.61,    86113.89,          0.008656,     25.57,      2.03,              86.53, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20211015_205015_069_0277248.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.236675,  10.677557,    97943.97,    84794.31,          0.009644,     19.47,      0.50,              72.28, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20211015_205013_178_0284928.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,  0.174431, 2459503.368222695310,  46.25556,  27.68432,               86.79903,  33.09655,        86.79328,       33.09446,     46.25556,     +27.68432,      46.26189,      +27.68605,  3596658.29, -1488872.43,  5154310.09,      53.121321,       +0.351001,   94530.61,  169838.66,       0.00,             4431.47,    -0.35,      0.00,           25554.20,      1.23,    -15.53,          18.92,  +5.28,  +4.13
  1,     UK000Z,       0,  0.295219, 2459503.368224093225,  46.63229,  26.72825,               87.27136,  32.16483,        87.27253,       32.16525,     46.63229,     +26.72825,      46.63239,      +26.72790,  3596820.01, -1487269.12,  5151755.40,      53.111026,       +0.373214,   92208.78,  169774.55,    3020.47,             7451.94,   -51.96,  25006.35,           25554.20,     -0.25,      3.17,           3.87,  +1.92,  +0.77
  2,     UK000Z,       0,  0.335515, 2459503.368224559352,  46.77873,  26.37832,               87.43369,  31.81747,        87.44666,       31.82218,     46.77873,     +26.37832,      46.76747,      +26.37443,  3596879.57, -1486678.57,  5150814.42,      53.107231,       +0.381415,   91353.70,  169765.32,    4133.00,             8564.48,    35.71,  27609.13,           25554.20,     -2.81,     35.41,          43.16,  +1.89,  +0.74
  3,     UK000Z,       0,  0.375775, 2459503.368225025479,  46.89159,  26.05695,               87.59793,  31.51089,        87.60268,       31.51262,     46.89159,     +26.05695,      46.88852,      +26.05552,  3596933.31, -1486145.72,  5149965.37,      53.103805,       +0.388799,   90582.19,  169762.23,    5136.85,             9568.33,    15.60,  24934.14,           25554.20,     -1.03,     13.01,          15.86,  +1.48,  +0.33
  4,     UK000Z,       0,  0.416039, 2459503.368225491606,  47.02138,  25.73955,               87.74416,  31.19660,        87.75824,       31.20171,     47.02138,     +25.73955,      47.00937,      +25.73532,  3596987.26, -1485610.88,  5149113.17,      53.100365,       +0.396211,   89807.87,  169765.06,    6144.42,            10575.90,    -0.89,  25024.07,           25511.44,     -3.06,     38.64,          47.10,  +1.47,  +0.32
  5,     UK000Z,       0,  0.456279, 2459503.368225957267,  47.12840,  25.44748,               87.88706,  30.91441,        87.89896,       30.91872,     47.12840,     +25.44748,      47.11869,      +25.44391,  3597036.36, -1485124.02,  5148337.40,      53.097233,       +0.402944,   89103.03,  169771.90,    7061.63,            11493.10,  -107.13,  22793.32,           25243.54,     -2.59,     32.72,          39.88,  +1.70,  +0.55
  6,     UK000Z,       1,  0.496455, 2459503.368226422463,  47.16343,  25.18882,               88.05955,  30.70003,        88.01516,       30.68397,     47.16343,     +25.18882,      47.20884,      +25.20214,  3597077.14, -1484719.72,  5147693.19,      53.094631,       +0.408508,   88517.71,  169779.65,    7823.29,            12254.76,  -367.29,  18958.19,           24642.82,      9.68,   -122.32,         149.07,  +4.89,  +3.74
  7,     UK000Z,       0,  0.536855, 2459503.368226889987,  47.38904,  24.74247,               88.22483,  30.23018,        88.23533,       30.23397,     47.38904,     +24.74247,      47.38103,      +24.73933,  3597154.96, -1483948.17,  5146463.81,      53.089663,       +0.419277,   87400.96,  169812.64,    9276.81,            13708.28,    58.72,  35978.21,           25055.04,     -2.30,     29.06,          35.41,  +3.21,  +2.06
  8,     UK000Z,       0,  0.577059, 2459503.368227355182,  47.46661,  24.48405,               88.36098,  29.98959,        88.35539,       29.98757,     47.46661,     +24.48405,      47.47447,      +24.48573,  3597197.72, -1483524.28,  5145788.39,      53.086932,       +0.425119,   86787.38,  169831.60,   10075.38,            14506.85,  -165.25,  19862.87,           25001.44,      1.23,    -15.48,          18.86,  +2.99,  +1.84
  9,     UK000Z,       0,  0.617291, 2459503.368227820843,  47.58247,  24.20977,               88.47795,  29.71376,        88.48647,       29.71684,     47.58247,     +24.20977,      47.57671,      +24.20722,  3597244.65, -1483058.97,  5145046.97,      53.083934,       +0.431549,   86113.89,  169857.62,   10951.96,            15383.44,  -311.90,  21788.35,           24826.19,     -1.88,     23.70,          28.87,  +3.84,  +2.69
  0,     UK002K,       0,  0.000000, 2459503.368220678065,   3.59655,  26.06668,              133.42548,  56.08053,       133.43805,       56.07995,      3.59655,     +26.06668,       3.59001,      +26.06281,  3596420.61, -1491228.92,  5158064.92,      53.136432,       +0.318349,   97943.97,  117588.77,       0.00,                7.93,    12.50,      0.00,           25686.84,      0.37,     14.44,          25.34,  +3.23,  +2.88
  1,     UK002K,       0,  0.040424, 2459503.368221146055,   3.90850,  25.65164,              133.34169,  55.58168,       133.37168,       55.58031,      3.90850,     +25.65164,       3.89290,      +25.64231,  3596478.47, -1490655.29,  5157150.90,      53.132756,       +0.326305,   97112.99,  117271.27,    1080.66,             1072.74,    49.18,  26733.17,           25686.84,      0.88,     34.80,          61.22,  +3.04,  +2.69
  2,     UK002K,       0,  0.080760, 2459503.368221612647,   4.14348,  25.31041,              133.30161,  55.18054,       133.32094,       55.17965,      4.14348,     +25.31041,       4.13356,      +25.30435,  3596524.72, -1490196.79,  5156420.32,      53.129817,       +0.332631,   96448.82,  117023.04,    1944.44,             1936.51,  -112.93,  21414.52,           25686.84,      0.57,     22.62,          39.88,  +2.12,  +1.78
  3,     UK002K,       0,  0.121248, 2459503.368222081568,   4.48422,  24.82506,              133.23332,  54.60670,       133.24743,       54.60605,      4.48422,     +24.82506,       4.47715,      +24.82059,  3596590.43, -1489545.30,  5155382.25,      53.125639,       +0.341690,   95505.18,  116682.23,    3171.77,             3163.84,    84.65,  30313.45,           25686.84,      0.42,     16.70,          29.53,  +2.52,  +2.18
  4,     UK002K,       0,  0.161632, 2459503.368222548626,   4.75441,  24.44561,              133.17309,  54.15608,       133.19243,       54.15519,      4.75441,     +24.44561,       4.74461,      +24.43944,  3596641.89, -1489035.07,  5154569.24,      53.122365,       +0.348750,   94766.17,  116422.53,    4133.00,             4125.08,    18.77,  23802.35,           25631.40,      0.59,     23.07,          40.89,  +2.16,  +1.83
  5,     UK002K,       0,  0.202008, 2459503.368223016150,   4.99946,  24.06087,              133.14995,  53.71138,       133.13964,       53.71185,      4.99946,     +24.06087,       5.00594,      +24.06419,  3596692.28, -1488535.48,  5153773.20,      53.119159,       +0.355659,   94042.62,  116175.18,    5074.18,             5066.25,   -66.96,  23310.23,           25284.24,     -0.32,    -12.41,          22.04,  +2.27,  +1.94
  6,     UK002K,       0,  0.242396, 2459503.368223483674,   5.28254,  23.68702,              133.06511,  53.25946,       133.08669,       53.25847,      5.28254,     +23.68702,       5.27166,      +23.68002,  3596743.58, -1488026.82,  5152962.71,      53.115893,       +0.362697,   93305.98,  115930.64,    6032.44,             6024.51,  -135.91,  23726.42,           24993.39,      0.67,     26.18,          46.60,  +1.57,  +1.25
  7,     UK002K,       0,  0.282856, 2459503.368223951664,   5.59872,  23.22925,              133.00083,  52.71893,       133.02387,       52.71787,      5.59872,     +23.22925,       5.58707,      +23.22172,  3596804.41, -1487423.77,  5152001.80,      53.112019,       +0.371074,   92432.71,  115651.12,    7168.53,             7160.61,   -28.86,  28079.46,           25129.72,      0.72,     28.24,          50.39,  +1.59,  +1.27
  8,     UK002K,       0,  0.323296, 2459503.368224420119,   5.89027,  22.78939,              132.95365,  52.20447,       132.96591,       52.20391,      5.89027,     +22.78939,       5.88473,      +22.78535,  3596861.99, -1486852.91,  5151092.20,      53.108351,       +0.378994,   91606.12,  115395.82,    8243.97,             8236.05,    18.05,  26593.45,           25291.01,      0.39,     15.17,          27.13,  +1.55,  +1.24
  9,     UK002K,       0,  0.363696, 2459503.368224887643,   6.14559,  22.38124,              132.92832,  51.73339,       132.91461,       51.73402,      6.14559,     +22.38124,       6.15489,      +22.38579,  3596914.44, -1486332.88,  5150263.60,      53.105008,       +0.386196,   90853.17,  115170.95,    9223.65,             9215.72,   -29.79,  24249.41,           25316.29,     -0.44,    -17.11,          30.65,  +1.40,  +1.09
 10,     UK002K,       0,  0.404144, 2459503.368225355633,   6.45034,  21.94097,              132.86069,  51.21213,       132.85826,       51.21224,      6.45034,     +21.94097,       6.45342,      +21.94178,  3596972.40, -1485758.14,  5149347.80,      53.101312,       +0.394173,   90021.06,  114932.04,   10306.41,            10298.48,    24.23,  26769.13,           25396.18,     -0.08,     -3.06,           5.50,  +1.24,  +0.94
 11,     UK002K,       0,  0.444588, 2459503.368225823622,   6.74566,  21.50540,              132.80047,  50.69875,       132.80415,       50.69858,      6.74566,     +21.50540,       6.74540,      +21.50416,  3597029.25, -1485194.59,  5148449.85,      53.097687,       +0.401992,   89205.21,  114707.01,   11368.08,            11360.15,    57.26,  26250.40,           25475.15,      0.12,      4.67,           8.40,  +1.29,  +0.99
 12,     UK002K,       0,  0.484944, 2459503.368226290680,   6.97014,  21.14114,              132.77808,  50.27898,       132.76197,       50.27973,      6.97014,     +21.14114,       6.98156,      +21.14662,  3597075.50, -1484736.02,  5147719.17,      53.094735,       +0.408324,   88541.36,  114529.76,   12231.97,            12224.05,  -105.24,  21406.85,           25388.94,     -0.53,    -20.64,          37.18,  +1.20,  +0.91
 13,     UK002K,       0,  0.525368, 2459503.368226758670,   7.25145,  20.72507,              132.71911,  49.78836,       132.71249,       49.78867,      7.25145,     +20.72507,       7.25753,      +20.72734,  3597129.48, -1484200.76,  5146866.29,      53.091290,       +0.415743,   87766.54,  114331.56,   13240.35,            13232.43,  -124.99,  24945.09,           25322.07,     -0.22,     -8.54,          15.42,  +1.15,  +0.86
 14,     UK002K,       0,  0.565816, 2459503.368227226660,   7.54314,  20.28149,              132.66546,  49.26856,       132.66089,       49.26877,      7.54314,     +20.28149,       7.54821,      +20.28307,  3597186.42, -1483636.25,  5145966.80,      53.087654,       +0.423578,   86949.46,  114131.99,   14303.83,            14295.90,   -90.25,  26292.35,           25302.87,     -0.15,     -5.96,          10.77,  +1.01,  +0.72
 15,     UK002K,       0,  0.606248, 2459503.368227694649,   7.82612,  19.85472,              132.60965,  48.76711,       132.61232,       48.76698,      7.82612,     +19.85472,       7.82706,      +19.85378,  3597241.20, -1483093.13,  5145101.39,      53.084154,       +0.431110,   86163.37,  113948.69,   15327.02,            15319.09,   -95.39,  25306.52,           25290.11,      0.09,      3.52,           6.37,  +1.25,  +0.97
 16,     UK002K,       0,  0.646616, 2459503.368228162173,   8.06358,  19.49015,              132.56645,  48.34039,       132.57261,       48.34010,      8.06358,     +19.49015,       8.06257,      +19.48799,  3597287.72, -1482631.92,  5144366.51,      53.081182,       +0.437481,   85495.85,  113799.10,   16195.88,            16187.96,  -253.23,  21523.61,           25207.60,      0.21,      8.15,          14.78,  +1.61,  +1.33
 17,     UK002K,       0,  0.687008, 2459503.368228629697,   8.32324,  19.11157,              132.50438,  47.89132,       132.53118,       47.89007,      8.32324,     +19.11157,       8.30988,      +19.10214,  3597336.61, -1482147.18,  5143594.12,      53.078056,       +0.444187,   84794.31,  113649.01,   17109.10,            17101.17,  -367.33,  22608.71,           25104.13,      0.91,     35.71,          64.84,  +2.02,  +1.74

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.