Orbital Analysis for matched events on 20211103_052203.156_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 161.59° Bg 31.06° Vg 55.93km/s
mass 0.01055g, abs. mag 0.4
best visual mag 1.1
Path Details
------------
start -3.07° 51.44° 104.25km
end   -3.24° 51.44° 91.21km

Orbit Details
-------------
Semimajor axis 3.55A.U., eccentricity 0.84, inclination 111.01°, Period 6.70Y, LA Sun 220.71°, last Perihelion 2021-09-22

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: 2459521.723647645209
Time: 2021-11-03 05:22:03.160248 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK001Z
 Convergence angle = 56.01528 deg
 R.A. = 176.85432  Dec = +35.57351 deg
Intersection 2 - Stations: UK0006 and UK003Z
 Convergence angle = 35.24675 deg
 R.A. = 178.08157  Dec = +35.13257 deg
Intersection 3 - Stations: UK001Z and UK003Z
 Convergence angle = 20.78262 deg
 R.A. = 176.44414  Dec = +37.32175 deg

Best intersection: Stations UK0006 and UK001Z with Qconv = 56.02 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -2032810.62 +/- 16.84 m
 Y =   3501564.91 +/- 16.48 m
 Z =   5046071.21 +/- 35.28 m
 Vx =   -46245.52 +/- 68.65 m/s
 Vy =     2545.24 +/- 56.89 m/s
 Vz =    33252.67 +/- 119.67 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.041287e+02, +5.915646e+01, -1.363039e+02, +7.699053e+00, +2.452350e+02, +5.116827e+01
+5.915646e+01, +2.918538e+02, +3.658055e+02, +1.985577e+02, +8.153228e+02, +5.089534e+02
-1.363039e+02, +3.658055e+02, +1.339610e+03, +1.852389e+03, +8.794574e+02, +3.427501e+03
+7.699053e+00, +1.985577e+02, +1.852389e+03, +5.450981e+03, +1.407734e+03, +8.936096e+03
+2.452350e+02, +8.153228e+02, +8.794574e+02, +1.407734e+03, +3.429796e+03, +2.434404e+03
+5.116827e+01, +5.089534e+02, +3.427501e+03, +8.936096e+03, +2.434404e+03, +1.494051e+04

Timing offsets (from input data):
    UK0006: -0.000503 s
    UK001Z: 0.000000 s
    UK003Z: -0.000415 s

Reference point on the trajectory:
  Time: 2021-11-03 05:22:03.160248 UTC
  Lon     = +-3.069205 +/- 0.0003 deg
  Lat     = +51.441864 +/- 0.0001 deg
  Lat geo = +51.257178 +/- 0.0001 deg
  Ht      =  104476.09 +/- 34.61 m

  JD dynamic   = 2459521.724448428955 
  LST apparent = 120.1370277553 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 176.84976 +/- 0.0718 deg
  Dec       = +35.67683 +/- 0.1372 deg
  Azimuth   =  88.74364 +/- 0.1437 deg
  Elevation = +47.21845 +/- 0.1128 deg
  Vavg      =  55.77309 +/- 0.0272 km/s
  Vinit     =  57.01637 +/- 0.0156 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 177.04915 +/- 0.0718 deg
  Dec       = +35.53252 +/- 0.1372 deg
  Azimuth   =  88.75315 +/- 0.1437 deg
  Elevation = +47.00151 +/- 0.1128 deg
  Vavg      =  55.97398 +/- 0.0272 km/s
  Vinit     =  57.21726 +/- 0.0156 km/s
Radiant (geocentric, J2000):
  R.A.   = 176.97530 +/- 0.0724 deg
  Dec    = +35.52097 +/- 0.1387 deg
  Vg     =  55.92537 +/- 0.0159 km/s
  Vinf   =  57.01637 +/- 0.0156 km/s
  Zc     =  42.78592 +/- 0.1124 deg
  Zg     =  43.21956 +/- 0.1139 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 161.59206 +/- 0.1137 deg
  Bg     = +31.06313 +/- 0.1151 deg
  Vh     =  39.22839 +/- 0.0300 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 196.06289 +/- 0.1379 deg
  Bh     = +47.35837 +/- 0.1900 deg
  Vh_x   =  25.53625 +/- 0.0702 km/s
  Vh_y   =   7.35275 +/- 0.0806 km/s
  Vh_z   = -28.85660 +/- 0.1024 km/s
Orbit:
  La Sun = 220.710313 +/- -0.0000 deg
  a      =   3.554790 +/- 0.0344 AU
  e      =   0.837726 +/- 0.0013
  i      = 111.010570 +/- 0.0990 deg
  peri   =  94.694961 +/- 0.4547 deg
  node   = 220.712669 +/- 0.0000 deg
  Pi     = 315.407630 +/- 0.4547 deg
  q      =   0.576848 +/- 0.0036 AU
  f      =  85.305925 +/- 0.4547 deg
  M      =   6.172487 +/- 0.0952 deg
  Q      =   6.532731 +/- 0.0670 AU
  n      =   0.147056 +/- 0.0021 deg/day
  T      =   6.702263 +/- 0.0980 years
  Last perihelion JD = 2459479.750781 (2021-09-22 06:01:07.466140) +/- 0.0621 days
  Tj     =   1.140378 +/- 0.0131
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.868719e-06, -6.629847e-07, +4.436286e-05, -1.577485e-09, -2.137029e-05, -9.524998e-05
q   , -6.629847e-07, +1.386941e-05, +1.893286e-04, -3.591900e-09, +1.743278e-03, -2.173774e-04
Tp  , +4.436286e-05, +1.893286e-04, +4.138329e-03, -1.000055e-07, +2.559902e-02, -6.045644e-03
node, -1.577485e-09, -3.591900e-09, -1.000055e-07, +2.882265e-12, -5.104381e-07, +1.741347e-07
peri, -2.137029e-05, +1.743278e-03, +2.559902e-02, -5.104381e-07, +2.212068e-01, -3.088367e-02
i   , -9.524998e-05, -2.173774e-04, -6.045644e-03, +1.741347e-07, -3.088367e-02, +1.052064e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 2.142134
 a2 = 14.375343

Mean time residuals from time vs. length:
  Station with reference time: UK001Z
  Avg. res. = 5.680e-06 s
  Stddev    = 2.38e-03 s

Begin point on the trajectory:
  Lon =    -3.072133 +/- 0.0003 deg
  Lat =    51.441824 +/- 0.0001 deg
  Ht  = 104252.47 +/- 17.98 m
End point on the trajectory:
  Lon =    -3.244670 +/- 0.0001 deg
  Lat =    51.439349 +/- 0.0002 deg
  Ht  = 91212.88 +/- 28.20 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   3.200978,  16.104163,   104252.47,    92589.24,          0.018842,     24.84,     49.79,              91.83, 0.9990,    True,    True, {"ff_name": "FF_UK0006_20211103_052158_348_1096192.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   1.146300,  16.078034,   102634.20,    91212.88,          0.008705,     17.74,      2.38,              53.85, 0.6520,    True,    True, {"ff_name": "FF_UK001Z_20211103_052203_142_1084160.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,  31.113895,   0.000000,   103334.38,    91596.14,          0.020185,     47.35,     25.58,              86.20, 0.9956,    True,    True, {"ff_name": "FF_UK003Z_20211103_052203_015_1092608.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,     UK0006,       0,  0.007266, 2459521.723647688050,  71.02713,  17.60255,              248.81654,  37.53222,       248.80340,       37.52957,     71.02713,     +17.60255,      71.03417,      +17.59414, -2032563.51,  3501551.30,  5045893.52,      51.441824,       -3.072133,  104252.47,  168748.33,       0.00,              304.67,     0.07,      0.00,           56974.09,     28.34,     14.13,          38.70,  +4.54,  +3.40
  1,     UK0006,       0,  0.048002, 2459521.723648159299,  70.23780,  17.03112,              249.13736,  36.62181,       249.09561,       36.61338,     70.23780,     +17.03112,      70.26062,      +17.00419, -2030308.55,  3501427.20,  5044272.10,      51.441454,       -3.099028,  102212.24,  168876.56,    2780.15,             3084.82,   457.60,  68247.95,           56974.09,     91.12,     45.48,         124.39,  +2.36,  +1.22
  2,     UK0006,       0,  0.088498, 2459521.723648628220,  69.75341,  16.62459,              249.29225,  36.01793,       249.28271,       36.01601,     69.75341,     +16.62459,      69.75898,      +16.61840, -2028839.02,  3501346.32,  5043215.44,      51.441210,       -3.116622,  100882.93,  168987.87,    4591.94,             4896.61,   -39.54,  44740.01,           56974.09,     20.99,     10.47,          28.63,  +1.49,  +0.35
  3,     UK0006,       0,  0.129170, 2459521.723649099004,  69.05890,  16.09086,              249.55119,  35.19052,       249.53692,       35.18764,     69.05890,     +16.09086,      69.06732,      +16.08154, -2026796.74,  3501233.92,  5041746.95,      51.440866,       -3.141020,   99035.89,  169171.49,    7109.88,             7414.55,   159.43,  61908.47,           56974.09,     31.75,     15.83,          43.25,  +1.90,  +0.76
  4,     UK0006,       0,  0.169746, 2459521.723649568390,  68.44869,  15.63487,              249.78806,  34.47312,       249.75413,       34.46628,     68.44869,     +15.63487,      68.46832,      +15.61258, -2025016.04,  3501135.91,  5040466.55,      51.440561,       -3.162325,   97425.78,  169363.29,    9305.31,             9609.98,    41.36,  54106.58,           56487.95,     76.17,     38.01,         103.67,  +4.26,  +3.12
  5,     UK0006,       0,  0.210274, 2459521.723650037777,  67.93676,  15.19918,              249.94809,  33.82826,       249.94344,       33.82733,     67.93676,     +15.19918,      67.94024,      +15.19611, -2023436.54,  3501048.98,  5039330.81,      51.440288,       -3.181251,   95997.85,  169558.21,   11252.69,            11557.36,  -322.02,  48050.25,           55146.26,     10.52,      5.24,          14.30,  +3.07,  +1.92
  6,     UK0006,       0,  0.250906, 2459521.723650508095,  67.27436,  14.69557,              250.19878,  33.04122,       250.17360,       33.03615,     67.27436,     +14.69557,      67.28969,      +14.67885, -2021475.09,  3500941.03,  5037920.43,      51.439944,       -3.204724,   94225.01,  169829.09,   13670.98,            13975.65,  -220.42,  59516.75,           55135.18,     57.58,     28.73,          78.15,  +3.71,  +2.56
  7,     UK0006,       0,  0.291498, 2459521.723650977947,  66.69430,  14.19940,              250.37888,  32.30724,       250.38182,       32.30784,     66.69430,     +14.19940,      66.69381,      +14.20137, -2019664.91,  3500841.40,  5036618.83,      51.439622,       -3.226411,   92589.24,  170110.10,   15902.76,            16207.43,  -303.05,  54980.87,           55117.70,     -6.80,     -3.39,           9.22,  +4.17,  +3.02
  0,     UK001Z,       1,  0.000000, 2459521.723647645209,  92.70398,  81.41431,              352.45310,  58.27908,       352.47536,       58.26129,     92.70398,     +81.41431,      92.70307,      +81.43561, -2032823.47,  3501565.61,  5046080.45,      51.441867,       -3.069037,  104487.71,  122389.06,       0.00,               15.84,   125.54,      0.00,           54421.09,     -6.05,    -45.08,          76.65,  +5.80,  +5.36
  1,     UK001Z,       0,  0.040280, 2459521.723648111336,  86.22062,  81.35815,              350.93664,  57.73176,       350.95213,       57.71979,     86.22062,     +81.35815,      86.20935,      +81.37261, -2030774.97,  3501452.87,  5044607.48,      51.441531,       -3.093481,  102634.20,  120919.57,    2525.61,             2509.77,   322.85,  62701.40,           54421.09,     -4.08,    -30.44,          52.40,  +2.48,  +2.07
  2,     UK001Z,       0,  0.080500, 2459521.723648576997,  81.40170,  81.24999,              349.82498,  57.30075,       349.82817,       57.29834,     81.40170,     +81.24999,      81.39814,      +81.25289, -2029258.25,  3501369.39,  5043516.89,      51.441280,       -3.111632,  101262.13,  119854.73,    4395.59,             4379.75,  -100.37,  46493.66,           54421.09,     -0.82,     -6.14,          10.67,  +1.15,  +0.76
  3,     UK001Z,       0,  0.120756, 2459521.723649042659,  75.66974,  81.01034,              348.45316,  56.77096,       348.46754,       56.76040,     75.66974,     +81.01034,      75.64528,      +81.02293, -2027407.12,  3501267.51,  5042185.84,      51.440969,       -3.133757,   99587.87,  118582.18,    6677.84,             6662.00,  -113.37,  56693.60,           54421.09,     -3.63,    -27.02,          47.43,  +1.14,  +0.77
  4,     UK001Z,       0,  0.161048, 2459521.723649509251,  69.89109,  80.67967,              347.05232,  56.17505,       347.05874,       56.17045,     69.89109,     +80.67967,      69.87777,      +80.68503, -2025473.83,  3501161.11,  5040795.72,      51.440640,       -3.156869,   97839.68,  117286.08,    9061.41,             9045.57,   -27.10,  59157.36,           55332.46,     -1.58,    -11.81,          20.95,  +1.18,  +0.83
  5,     UK001Z,       0,  0.201344, 2459521.723649975378,  64.57594,  80.26157,              345.69569,  55.56767,       345.69695,       55.56679,     64.57594,     +80.26157,      64.57364,      +80.26257, -2023587.42,  3501057.28,  5039439.30,      51.440314,       -3.179437,   96134.26,  116054.99,   11387.18,            11371.34,     1.13,  57716.97,           55933.70,     -0.30,     -2.26,           4.06,  +1.35,  +1.03
  6,     UK001Z,       0,  0.241640, 2459521.723650441971,  59.67958,  79.75326,              344.35116,  54.94140,       344.35569,       54.93831,     59.67958,     +79.75326,      59.66822,      +79.75665, -2021709.95,  3500953.95,  5038089.31,      51.439985,       -3.201909,   94437.28,  114863.73,   13701.92,            13686.08,    18.35,  57443.60,           56310.22,     -1.08,     -8.03,          14.55,  +1.71,  +1.41
  7,     UK001Z,       0,  0.281916, 2459521.723650908098,  55.61553,  79.22947,              343.15600,  54.35400,       343.16241,       54.34972,     55.61553,     +79.22947,      55.59842,      +79.23401, -2020022.70,  3500861.09,  5036876.10,      51.439686,       -3.222131,   92912.54,  113823.15,   15782.14,            15766.30,  -197.82,  51649.11,           56078.53,     -1.50,    -11.19,          20.46,  +1.93,  +1.65
  8,     UK001Z,       0,  0.322248, 2459521.723651375156,  51.40608,  78.59126,              341.86153,  53.65876,       341.84870,       53.66715,     51.40608,     +78.59126,      51.44502,      +78.58273, -2018141.49,  3500757.55,  5035523.43,      51.439349,       -3.244670,   91212.88,  112697.00,   18101.49,            18085.65,  -178.06,  57506.48,           56065.77,      2.96,     22.07,          40.76,  +3.61,  +3.35
  0,     UK003Z,       0,  0.027318, 2459521.723647954874,  45.71058,  46.45848,              295.95997,  42.01564,       295.92889,       42.02288,     45.71058,     +46.45848,      45.73845,      +46.44365, -2031548.86,  3501495.46,  5045163.94,      51.441659,       -3.084252,  103334.38,  152790.11,       0.00,             1555.63,   107.78,      0.00,           55116.11,     30.63,     56.81,          87.13,  +3.23,  +2.31
  1,     UK003Z,       0,  0.067986, 2459521.723648425192,  45.05329,  45.82997,              295.62308,  41.28145,       295.61896,       41.28241,     45.05329,     +45.82997,      45.05727,      +45.82801, -2029876.30,  3501403.41,  5043961.29,      51.441383,       -3.104248,  101821.21,  152699.44,    2062.11,             3617.75,  -148.85,  50706.03,           55116.11,      4.10,      7.59,          11.65,  +1.63,  +0.71
  2,     UK003Z,       0,  0.108738, 2459521.723648896907,  44.29664,  45.13799,              295.29274,  40.44609,       295.27911,       40.44925,     44.29664,     +45.13799,      44.30941,      +45.13150, -2027997.82,  3501300.02,  5042610.58,      51.441069,       -3.126697,  100122.09,  152630.04,    4378.10,             5933.74,  -156.39,  56831.31,           55116.11,     13.72,     25.44,          39.06,  +1.36,  +0.44
  3,     UK003Z,       0,  0.149498, 2459521.723649368621,  43.57067,  44.42615,              294.94803,  39.60790,       294.94504,       39.60860,     43.57067,     +44.42615,      43.57402,      +44.42473, -2026105.89,  3501195.89,  5041250.19,      51.440748,       -3.149316,   98411.18,  152595.81,    6710.67,             8266.31,  -147.81,  57226.95,           55116.11,      3.05,      5.66,           8.69,  +1.75,  +0.83
  4,     UK003Z,       0,  0.190346, 2459521.723649841733,  42.79313,  43.61158,              294.55119,  38.66907,       294.57924,       38.66257,     42.79313,     +43.61158,      42.76830,      +43.62491, -2023979.03,  3501078.84,  5039720.89,      51.440382,       -3.174737,   96488.27,  152599.17,    9332.88,            10888.52,   145.39,  64194.31,           57205.35,    -28.92,    -53.54,          82.25,  +1.68,  +0.76
  5,     UK003Z,       0,  0.231062, 2459521.723650312982,  42.11602,  42.93734,              294.26282,  37.86510,       294.27722,       37.86177,     42.11602,     +42.93734,      42.10376,      +42.94418, -2022180.99,  3500979.88,  5038428.01,      51.440068,       -3.196266,   94863.00,  152638.64,   11549.70,            13105.33,    40.73,  54445.86,           57407.25,    -15.00,    -27.77,          42.66,  +1.77,  +0.85
  6,     UK003Z,       0,  0.271818, 2459521.723650784697,  41.44025,  42.21129,              293.94188,  37.02258,       293.96602,       37.01700,     41.44025,     +42.21129,      41.41913,      +42.22274, -2020284.32,  3500875.49,  5037064.21,      51.439733,       -3.218977,   93148.95,  152714.93,   13888.12,            15443.76,    55.40,  57376.18,           57476.02,    -25.43,    -47.06,          72.25,  +3.00,  +2.08
  7,     UK003Z,       0,  0.312498, 2459521.723651255481,  40.85384,  41.54441,              293.64431,  36.26207,       293.69009,       36.25151,     40.85384,     +41.54441,      40.81280,      +41.56610, -2018565.72,  3500780.90,  5035828.46,      51.439425,       -3.239581,   91596.14,  152815.94,   16006.99,            17562.63,  -145.16,  52086.28,           57056.47,    -48.71,    -90.09,         138.24,  +2.93,  +2.01

Notes
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- 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.