Orbital Analysis for matched events on 20211103_203053.721_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 75.27° Bg 76.86° Vg 27.67km/s
mass 0.06101g, abs. mag 0.6
best visual mag 2.0
Path Details
------------
start -1.65° 52.44° 90.93km
end   -1.62° 52.38° 79.76km

Orbit Details
-------------
Semimajor axis 2.71A.U., eccentricity 0.64, inclination 45.45°, Period 4.47Y, LA Sun 221.34°, last Perihelion 2017-06-03

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: 2459522.354788446799
Time: 2021-11-03 20:30:53.721803 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0029 and UK0035
 Convergence angle = 33.33298 deg
 R.A. = 295.02348  Dec = +79.05606 deg

Best intersection: Stations UK0029 and UK0035 with Qconv = 33.33 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3884021.54 +/- 12.03 m
 Y =   -727606.10 +/- 37.11 m
 Z =   5104984.70 +/- 32.63 m
 Vx =     2336.47 +/- 52.02 m/s
 Vy =    -5475.29 +/- 112.96 m/s
 Vz =    29215.78 +/- 80.99 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.594103e+02, +5.135697e+01, -4.384814e+01, +6.045178e+02, +3.456328e+02, +2.517978e+02
+5.135697e+01, +1.486032e+03, +8.616567e+02, +2.176055e+02, +4.011708e+03, +1.991367e+03
-4.384814e+01, +8.616567e+02, +1.217157e+03, -3.744406e+02, +3.108183e+03, +1.497142e+03
+6.045178e+02, +2.176055e+02, -3.744406e+02, +2.642352e+03, +9.162432e+02, +1.186249e+03
+3.456328e+02, +4.011708e+03, +3.108183e+03, +9.162432e+02, +1.547322e+04, +5.393382e+03
+2.517978e+02, +1.991367e+03, +1.497142e+03, +1.186249e+03, +5.393382e+03, +5.415917e+03

Timing offsets (from input data):
    UK0029: 0.000000 s
    UK0035: 0.000133 s

Reference point on the trajectory:
  Time: 2021-11-03 20:30:53.721803 UTC
  Lon     = +-1.649400 +/- 0.0005 deg
  Lat     = +52.441333 +/- 0.0002 deg
  Lat geo = +52.257826 +/- 0.0002 deg
  Ht      =   90898.48 +/- 23.73 m

  JD dynamic   = 2459522.355589187704 
  LST apparent = 349.3895786035 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 293.10939 +/- 0.6952 deg
  Dec       = +78.48314 +/- 0.2200 deg
  Azimuth   = 341.94506 +/- 0.4488 deg
  Elevation = +57.60035 +/- 0.0945 deg
  Vavg      =  30.20603 +/- 0.0052 km/s
  Vinit     =  29.81609 +/- 0.0599 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 294.71317 +/- 0.6952 deg
  Dec       = +78.93093 +/- 0.2200 deg
  Azimuth   = 342.93302 +/- 0.4488 deg
  Elevation = +57.74164 +/- 0.0945 deg
  Vavg      =  30.15953 +/- 0.0052 km/s
  Vinit     =  29.76960 +/- 0.0599 km/s
Radiant (geocentric, J2000):
  R.A.   = 287.29948 +/- 0.6804 deg
  Dec    = +78.79217 +/- 0.2351 deg
  Vg     =  27.66794 +/- 0.0645 km/s
  Vinf   =  29.81609 +/- 0.0599 km/s
  Zc     =  32.57416 +/- 0.0944 deg
  Zg     =  33.82528 +/- 0.1000 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  75.27353 +/- 0.4326 deg
  Bg     = +76.85770 +/- 0.2483 deg
  Vh     =  38.22995 +/- 0.0702 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 323.37617 +/- 0.2342 deg
  Bh     = +44.81082 +/- 0.0937 deg
  Vh_x   = -21.76710 +/- 0.0482 km/s
  Vh_y   =  16.17973 +/- 0.1243 km/s
  Vh_z   = -26.94325 +/- 0.0572 km/s
Orbit:
  La Sun = 221.342658 +/- -0.0000 deg
  a      =   2.711608 +/- 0.0433 AU
  e      =   0.644420 +/- 0.0056
  i      =  45.447408 +/- 0.1126 deg
  peri   = 201.775360 +/- 0.4615 deg
  node   = 221.341918 +/- 0.0000 deg
  Pi     =  63.117277 +/- 0.4615 deg
  q      =   0.964195 +/- 0.0011 AU
  f      = 338.224847 +/- 0.4615 deg
  M      = 356.330318 +/- 0.1594 deg
  Q      =   4.459020 +/- 0.0859 AU
  n      =   0.220731 +/- 0.0055 deg/day
  T      =   4.465200 +/- 0.1063 years
  Last perihelion JD = 2457908.038070 (2017-06-03 12:54:49.288335) +/- 39.0696 days
  Tj     =   2.693728 +/- 0.0294
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.353489e-05, +3.322877e-06, -2.326032e-01, -1.028794e-09, -1.672212e-03, -1.904768e-04
q   , +3.322877e-06, +1.269894e-06, -2.602644e-02, -5.157730e-10, -5.308501e-04, -9.983727e-05
Tp  , -2.326032e-01, -2.602644e-02, +1.624452e+03, +8.255891e-06, +1.275737e+01, +1.541978e+00
node, -1.028794e-09, -5.157730e-10, +8.255891e-06, +3.780141e-13, +2.112869e-07, +7.333016e-08
peri, -1.672212e-03, -5.308501e-04, +1.275737e+01, +2.112869e-07, +2.251444e-01, +4.079995e-02
i   , -1.904768e-04, -9.983727e-05, +1.541978e+00, +7.333016e-08, +4.079995e-02, +1.423139e-02

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

Mean time residuals from time vs. length:
  Station with reference time: UK0029
  Avg. res. = 9.863e-06 s
  Stddev    = 3.14e-03 s

Begin point on the trajectory:
  Lon =    -1.649500 +/- 0.0005 deg
  Lat =    52.441520 +/- 0.0002 deg
  Ht  = 90933.46 +/- 14.70 m
End point on the trajectory:
  Lon =    -1.619449 +/- 0.0004 deg
  Lat =    52.381638 +/- 0.0001 deg
  Ht  = 79755.45 +/- 10.30 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
    UK0029,   False,    -4.441783,    52.004778,  230.00,   0.000000,   0.000000,    90933.46,    79755.45,          0.006134,     22.61,      4.89,              70.25, 1.0000,    True,    True, {"ff_name": "FF_UK0029_20211103_203049_152_0284928.fits"}
    UK0035,   False,     1.010397,    52.949859,   25.00,  31.520614,   0.000000,    90887.10,    80539.32,          0.004960,     17.81,      3.07,              69.05, 1.0000,    True,    True, {"ff_name": "FF_UK0035_20211103_203045_260_0320512.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,     UK0029,       0,  0.000000, 2459522.354788446799,  72.98093,  27.79424,               74.60618,  23.69199,        74.61017,       23.69448,     72.98093,     +27.79424,      72.97599,      +27.79363,  3884024.78,  -727613.71,  5105025.30,      52.441520,       -1.649500,   90933.46,  218042.83,       0.00,               41.44,   -73.11,      0.00,           31019.56,     -3.55,     16.44,          15.91,  +5.36,  +3.67
  1,     UK0029,       0,  0.040244, 2459522.354788912460,  73.03089,  27.42343,               74.84139,  23.38711,        74.83969,       23.38604,     73.03089,     +27.42343,      73.03317,      +27.42369,  3883906.99,  -727337.66,  5103552.35,      52.434733,       -1.646048,   89664.31,  217553.43,    1503.21,             1461.77,   147.30,  37352.46,           31019.56,      1.51,     -7.00,           6.79,  +5.20,  +3.51
  2,     UK0029,       0,  0.080452, 2459522.354789378121,  73.09125,  27.12501,               75.01521,  23.12936,        75.02515,       23.13557,     73.09125,     +27.12501,      73.07928,      +27.12352,  3883811.72,  -727114.40,  5102361.04,      52.429242,       -1.643289,   88637.89,  217162.42,    2719.00,             2677.56,   164.25,  30237.49,           31019.56,     -8.84,     40.94,          39.78,  +3.92,  +2.24
  3,     UK0029,       0,  0.120616, 2459522.354789842851,  73.11930,  26.86805,               75.18140,  22.92137,        75.18257,       22.92210,     73.11930,     +26.86805,      73.11836,      +26.86788,  3883730.78,  -726924.75,  5101349.06,      52.424577,       -1.640969,   87766.00,  216833.52,    3751.78,             3710.34,    -0.51,  25714.09,           31019.56,     -1.04,      4.81,           4.69,  +3.32,  +1.64
  4,     UK0029,       0,  0.160804, 2459522.354790308047,  73.16339,  26.58506,               75.35418,  22.68417,        75.35632,       22.68550,     73.16339,     +26.58506,      73.16143,      +26.58474,  3883641.48,  -726715.47,  5100232.37,      52.419427,       -1.638392,   86803.95,  216476.76,    4891.41,             4849.97,   -59.13,  28357.45,           29931.11,     -1.90,      8.79,           8.57,  +2.54,  +0.86
  5,     UK0029,       0,  0.201012, 2459522.354790773243,  73.21563,  26.27676,               75.53850,  22.42290,        75.54523,       22.42708,     73.21563,     +26.27676,      73.20819,      +26.27575,  3883544.39,  -726487.96,  5099018.38,      52.413826,       -1.635576,   85758.13,  216095.93,    6130.35,             6088.91,   -19.03,  30813.19,           29745.99,     -5.97,     27.62,          26.97,  +2.00,  +0.33
  6,     UK0029,       0,  0.241212, 2459522.354791238438,  73.24585,  25.96169,               75.74276,  22.16935,        75.73588,       22.16507,     73.24585,     +25.96169,      73.25531,      +25.96272,  3883446.39,  -726258.30,  5097792.94,      52.408171,       -1.632731,   84702.49,  215718.12,    7380.97,             7339.54,    32.98,  31110.10,           29826.04,      6.10,    -28.22,          27.60,  +2.33,  +0.66
  7,     UK0029,       0,  0.281412, 2459522.354791704100,  73.30043,  25.67038,               75.91145,  21.91870,        75.91348,       21.91995,     73.30043,     +25.67038,      73.29912,      +25.67008,  3883355.06,  -726044.26,  5096650.86,      52.402898,       -1.630092,   83718.71,  215371.21,    8546.52,             8505.08,    -0.08,  28993.63,           29790.02,     -1.79,      8.30,           8.14,  +2.44,  +0.77
  8,     UK0029,       0,  0.321608, 2459522.354792169295,  73.33127,  25.35872,               76.11115,  21.66666,        76.10082,       21.66024,     73.33127,     +25.35872,      73.34528,      +25.36026,  3883258.70,  -725818.47,  5095446.01,      52.397334,       -1.627298,   82680.91,  215012.04,    9776.12,             9734.68,    31.04,  30590.20,           29826.55,      9.16,    -42.37,          41.59,  +2.37,  +0.71
  9,     UK0029,       0,  0.361828, 2459522.354792634491,  73.39271,  25.04579,               76.28856,  21.39503,        76.29043,       21.39620,     73.39271,     +25.04579,      73.39192,      +25.04551,  3883161.15,  -725589.87,  5094226.24,      52.391699,       -1.624466,   81630.31,  214655.08,   11020.96,            10979.52,    76.67,  30950.76,           29906.51,     -1.66,      7.68,           7.55,  +2.45,  +0.79
 10,     UK0029,       1,  0.402028, 2459522.354793099687,  73.46324,  24.76925,               76.43270,  21.14498,        76.45862,       21.16105,     73.46324,     +24.76925,      73.43323,      +24.76540,  3883074.57,  -725386.96,  5093143.53,      52.386696,       -1.621972,   80697.80,  214342.58,   12125.92,            12084.48,   -16.98,  27486.42,           29840.11,    -22.90,    106.16,         104.51,  +3.19,  +1.53
 11,     UK0029,       0,  0.442196, 2459522.354793564882,  73.47104,  24.48123,               76.63020,  20.92357,        76.62854,       20.92254,     73.47104,     +24.48123,      73.47491,      +24.48148,  3882987.06,  -725181.90,  5092049.36,      52.381638,       -1.619449,   79755.45,  214032.21,   13242.57,            13201.13,   -97.98,  27799.56,           29723.39,      1.47,     -6.80,           6.70,  +5.52,  +3.87
  0,     UK0035,       0,  0.007554, 2459522.354788532481, 289.72462,  10.32778,              253.58528,  24.73320,       253.59012,       24.73009,    289.72462,     +10.32778,     289.71917,      +10.32785,  3884020.48,  -727603.62,  5104971.49,      52.441272,       -1.649399,   90887.10,  210464.25,       0.00,               13.47,  -326.31,      0.00,           32416.82,     -3.37,    -19.51,          19.40,  +3.81,  +2.19
  1,     UK0035,       1,  0.047802, 2459522.354788998608, 289.74122,   9.98691,              253.35073,  24.46678,       253.37558,       24.45084,    289.74122,      +9.98691,     289.71332,       +9.98726,  3883915.26,  -727357.05,  5103655.81,      52.435210,       -1.646334,   89753.45,  209978.66,    1342.72,             1356.19,  -183.63,  33361.15,           32416.82,    -17.29,    -99.94,          99.63,  +3.32,  +1.71
  2,     UK0035,       0,  0.088102, 2459522.354789464734, 289.71501,   9.60356,              253.12745,  24.14087,       253.13492,       24.13609,    289.71501,      +9.60356,     289.70693,       +9.60366,  3883797.31,  -727080.65,  5102180.97,      52.428412,       -1.642877,   88482.74,  209441.99,    2847.87,             2861.34,   119.93,  37348.56,           32416.82,     -5.18,    -30.01,          30.00,  +2.91,  +1.30
  3,     UK0035,       0,  0.128298, 2459522.354789929930, 289.70043,   9.34763,              252.97648,  23.92478,       252.97541,       23.92547,    289.70043,      +9.34763,     289.70218,       +9.34761,  3883718.96,  -726897.04,  5101201.24,      52.423895,       -1.640637,   87638.64,  209093.98,    3847.73,             3861.20,   -78.70,  24874.64,           32416.82,      0.74,      4.30,           4.31,  +2.78,  +1.18
  4,     UK0035,       0,  0.168546, 2459522.354790396057, 289.68670,   9.02200,              252.78095,  23.65238,       252.77287,       23.65754,    289.68670,      +9.02200,     289.69654,       +9.02189,  3883619.63,  -726664.26,  5099959.13,      52.418166,       -1.637752,   86568.55,  208656.18,    5115.36,             5128.84,   -11.11,  31495.57,           31643.83,      5.59,     32.39,          32.49,  +2.15,  +0.55
  5,     UK0035,       0,  0.208806, 2459522.354790861718, 289.68531,   8.67590,              252.56246,  23.37015,       252.55851,       23.37267,    289.68531,      +8.67590,     289.69064,       +8.67584,  3883514.54,  -726418.00,  5098645.09,      52.412103,       -1.634690,   85436.56,  208199.81,    6456.40,             6469.87,   129.54,  33309.46,           31660.91,      2.73,     15.80,          15.89,  +2.45,  +0.86
  6,     UK0035,       0,  0.249014, 2459522.354791327380, 289.68728,   8.39820,              252.38513,  23.14526,       252.38750,       23.14374,    289.68728,      +8.39820,     289.68563,       +8.39823,  3883430.59,  -726221.27,  5097595.35,      52.407259,       -1.632278,   84532.28,  207842.69,    7527.70,             7541.18,     2.00,  26644.07,           31130.07,     -1.64,     -9.51,           9.57,  +2.49,  +0.90
  7,     UK0035,       0,  0.289250, 2459522.354791793041, 289.67361,   8.08697,              252.20099,  22.88388,       252.19625,       22.88690,    289.67361,      +8.08697,     289.68018,       +8.08690,  3883336.77,  -726001.41,  5096422.17,      52.401842,       -1.629562,   83521.72,  207448.21,    8724.99,             8738.46,    -0.40,  29756.58,           30794.38,      3.27,     18.96,          19.13,  +2.26,  +0.68
  8,     UK0035,       0,  0.329458, 2459522.354792258237, 289.67588,   7.80918,              252.02458,  22.65867,       252.02642,       22.65750,    289.67588,      +7.80918,     289.67517,       +7.80920,  3883253.39,  -725806.02,  5095379.59,      52.397027,       -1.627166,   82623.68,  207103.89,    9789.00,             9802.47,  -135.24,  26462.57,           30349.19,     -1.27,     -7.34,           7.41,  +2.36,  +0.78
  9,     UK0035,       0,  0.369762, 2459522.354792724829, 289.66650,   7.40596,              251.78063,  22.32420,       251.78018,       22.32449,    289.66650,      +7.40596,     289.66856,       +7.40595,  3883132.76,  -725523.32,  5093871.15,      52.390059,       -1.623626,   81324.49,  206609.97,   11328.43,            11341.91,   202.49,  38195.59,           30551.17,      0.31,      1.82,           1.84,  +2.24,  +0.66
 10,     UK0035,       0,  0.409946, 2459522.354793190025, 289.66459,   7.16115,              251.62979,  22.12312,       251.63185,       22.12181,    289.66459,      +7.16115,     289.66397,       +7.16118,  3883059.85,  -725352.48,  5092959.53,      52.385846,       -1.621552,   80539.32,  206320.34,   12258.78,            12272.26,   -65.29,  23152.24,           30325.49,     -1.42,     -8.22,           8.34,  +2.94,  +1.37

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.