Orbital Analysis for matched events on 20210810_211200.214_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 16.86° Bg 54.34° Vg 45.68km/s
mass 0.01128g, abs. mag 0.7
Path Details
------------
start -0.99° 50.05° 103.04km
end   -1.07° 50.02° 94.32km

Orbit Details
-------------
Semimajor axis 6.87A.U., eccentricity 0.87, inclination 79.86°, Period 18.02Y, LA Sun 138.16°, last Perihelion 2003-09-03

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: 2459437.383335818537
Time: 2021-08-10 21:12:00.293941 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK0009
 Convergence angle = 17.53001 deg
 R.A. = 343.57243  Dec = +54.53087 deg

Best intersection: Stations UK0001 and UK0009 with Qconv = 17.53 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    479645.45 +/- 28.80 m
 Y =  -4142693.55 +/- 208.78 m
 Z =   4948830.10 +/- 20.86 m
 Vx =    25919.35 +/- 147.43 m/s
 Vy =    -8157.98 +/- 905.09 m/s
 Vz =    38363.15 +/- 273.83 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.873726e+02, -4.517678e+03, -1.237662e+02, +2.806578e+03, -1.626949e+04, -1.693419e+03
-4.517678e+03, +5.145712e+04, +1.814356e+03, -1.826368e+04, +2.221982e+05, +1.328000e+04
-1.237662e+02, +1.814356e+03, +3.976198e+02, -1.292810e+03, +7.371132e+03, +8.472967e+02
+2.806578e+03, -1.826368e+04, -1.292810e+03, +1.254276e+04, -7.991911e+04, -8.796389e+03
-1.626949e+04, +2.221982e+05, +7.371132e+03, -7.991911e+04, +1.117895e+06, +7.135410e+04
-1.693419e+03, +1.328000e+04, +8.472967e+02, -8.796389e+03, +7.135410e+04, +7.296651e+03

Timing offsets (from input data):
    UK0001: -0.000208 s
    UK0009: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 21:12:00.293941 UTC
  Lon     = +-0.960700 +/- 0.0003 deg
  Lat     = +50.065664 +/- 0.0015 deg
  Lat geo = +49.879236 +/- 0.0015 deg
  Ht      =  106046.14 +/- 128.01 m

  JD dynamic   = 2459437.384137476329 
  LST apparent = 276.6043598456 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 342.52887 +/- 1.9180 deg
  Dec       = +54.68979 +/- 0.3656 deg
  Azimuth   =  56.97602 +/- 1.1492 deg
  Elevation = +50.99360 +/- 0.8794 deg
  Vavg      =  45.22508 +/- 0.2851 km/s
  Vinit     =  47.01167 +/- 0.1261 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 342.78781 +/- 1.9180 deg
  Dec       = +54.41432 +/- 0.3656 deg
  Azimuth   =  57.29420 +/- 1.1492 deg
  Elevation = +50.75251 +/- 0.8794 deg
  Vavg      =  45.38627 +/- 0.2851 km/s
  Vinit     =  47.17286 +/- 0.1261 km/s
Radiant (geocentric, J2000):
  R.A.   = 343.23683 +/- 1.9447 deg
  Dec    = +54.36049 +/- 0.3519 deg
  Vg     =  45.68279 +/- 0.1298 km/s
  Vinf   =  47.01167 +/- 0.1261 km/s
  Zc     =  39.10827 +/- 0.8824 deg
  Zg     =  39.69175 +/- 0.9003 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  16.85795 +/- 1.8005 deg
  Bg     = +54.33996 +/- 0.4854 deg
  Vh     =  40.26631 +/- 0.6043 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 292.99274 +/- 1.2349 deg
  Bh     = +67.19158 +/- 0.9465 deg
  Vh_x   =  -6.09721 +/- 0.1053 km/s
  Vh_y   =  14.36919 +/- 0.8731 km/s
  Vh_z   = -37.11774 +/- 0.3296 km/s
Orbit:
  La Sun = 138.156700 +/- -0.0000 deg
  a      =   6.872638 +/- 1.1608 AU
  e      =   0.872027 +/- 0.0483
  i      =  79.861678 +/- 0.8468 deg
  peri   = 224.269687 +/- 0.3428 deg
  node   = 138.156992 +/- 0.0001 deg
  Pi     =   2.426679 +/- 0.3427 deg
  q      =   0.879511 +/- 0.0043 AU
  f      = 315.726394 +/- 0.3428 deg
  M      = 358.366985 +/- 1.2267 deg
  Q      =  12.865766 +/- 2.3254 AU
  n      =   0.054704 +/- 0.0377 deg/day
  T      =  18.017141 +/- 3.8626 years
  Last perihelion JD = 2452886.360627 (2003-09-03 20:39:18.146426) +/- 1411.3952 days
  Tj     =   0.955261 +/- 0.2608
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.959879e-03, -2.355544e-04, -8.717868e+01, +6.227306e-08, -9.171457e-05, -9.029719e-04
q   , -2.355544e-04, +2.216497e-05, +6.733353e+00, -4.920490e-09, -3.578478e-06, +7.135707e-05
Tp  , -8.717868e+01, +6.733353e+00, +2.692198e+06, -1.828701e-03, +3.212917e+00, +2.650772e+01
node, +6.227306e-08, -4.920490e-09, -1.828701e-03, +1.314745e-12, -2.048038e-09, -1.906414e-08
peri, -9.171457e-05, -3.578478e-06, +3.212917e+00, -2.048038e-09, +3.765525e-05, +2.968000e-05
i   , -9.029719e-04, +7.135707e-05, +2.650772e+01, -1.906414e-08, +2.968000e-05, +2.764356e-04

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: UK0009
  Avg. res. = 7.793e-06 s
  Stddev    = 2.79e-03 s

Begin point on the trajectory:
  Lon =    -0.988743 +/- 0.0002 deg
  Lat =    50.053925 +/- 0.0010 deg
  Ht  = 103041.55 +/- 85.49 m
End point on the trajectory:
  Lon =    -1.071265 +/- 0.0004 deg
  Lat =    50.019743 +/- 0.0009 deg
  Ht  = 94323.36 +/- 121.24 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   102624.13,    94323.36,          0.024749,     23.39,     58.72,              58.53, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20210810_211153_824_0086272.fits"}
    UK0009,   False,    -0.848117,    51.261084,   92.00,   0.000000,   0.000000,   103041.55,    94603.02,          0.006352,      9.83,     16.01,              81.04, 1.0000,    True,    True, {"ff_name": "FF_UK0009_20210810_211153_480_0089344.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,     UK0001,       0,  0.088267, 2459437.383336842526, 298.83404,   8.40008,              147.74891,  43.46677,       147.78038,       43.49217,    298.83404,      +8.40008,     298.80397,       +8.41619,   477217.17, -4141929.26,  4945236.00,      50.052292,       -0.992679,  102624.13,  147782.54,       0.00,             4404.35,   359.83,      0.00,           46525.79,    -81.84,    -32.59,         122.95,  +5.25,  +4.40
  1,     UK0001,       0,  0.128151, 2459437.383337304462, 298.62256,   8.00059,              148.20532,  43.16160,       148.24416,       43.19275,    298.62256,      +8.00059,     298.58560,       +8.02042,   476466.18, -4141692.89,  4944124.47,      50.048152,       -1.002727,  101566.03,  147057.01,    1362.11,             5766.46,  -153.07,  34151.85,           46525.79,   -100.39,    -39.97,         151.56,  +3.15,  +2.31
  2,     UK0001,       0,  0.167903, 2459437.383337764535, 298.21512,   7.35723,              149.01703,  42.68864,       149.01069,       42.68361,    298.21512,      +7.35723,     298.22192,       +7.35400,   475218.73, -4141300.26,  4942278.13,      50.041270,       -1.019311,   99808.69,  145875.20,    3624.70,             8029.04,   240.71,  56917.49,           46525.79,     16.22,      6.47,          24.69,  +3.32,  +2.50
  3,     UK0001,       0,  0.207755, 2459437.383338225540, 297.94242,   6.80912,              149.60530,  42.25808,       149.62042,       42.26999,    297.94242,      +6.80912,     297.92876,       +6.81681,   474227.86, -4140988.39,  4940811.54,      50.035800,       -1.032520,   98413.01,  144953.98,    5421.90,             9826.25,   164.41,  45097.01,           46525.79,    -38.41,    -15.30,          58.83,  +2.37,  +1.56
  4,     UK0001,       0,  0.247559, 2459437.383338686544, 297.62710,   6.32344,              150.21382,  41.89749,       150.18813,       41.87738,    297.62710,      +6.32344,     297.65278,       +6.31039,   473305.32, -4140698.02,  4939446.09,      50.030703,       -1.044833,   97113.73,  144110.97,    7095.19,            11499.53,   -33.56,  42038.06,           45831.85,     64.84,     25.86,          99.91,  +1.67,  +0.88
  5,     UK0001,       0,  0.287407, 2459437.383339147549, 297.35078,   5.78502,              150.78866,  41.47194,       150.77625,       41.46230,    297.35078,      +5.78502,     297.36387,       +5.77873,   472348.46, -4140396.86,  4938029.85,      50.025413,       -1.057600,   95766.29,  143252.32,    8830.70,            13235.05,  -171.37,  43553.36,           45307.79,     31.10,     12.40,          48.21,  +2.29,  +1.51
  6,     UK0001,       0,  0.327247, 2459437.383339608554, 297.05836,   5.19777,              151.39650,  41.00219,       151.40505,       41.00879,    297.05836,      +5.19777,     297.05154,       +5.20210,   471323.66, -4140074.31,  4936513.04,      50.019743,       -1.071265,   94323.36,  142350.89,   10689.45,            15093.80,  -185.56,  46655.49,           45265.13,    -21.31,     -8.49,          33.24,  +2.90,  +2.13
  0,     UK0009,       1,  0.000000, 2459437.383335818537, 273.96903,  -1.02507,              183.47103,  37.66177,       183.46432,       37.65857,    273.96903,      -1.02507,     273.97421,       -1.02847,   479631.44, -4142689.14,  4948809.36,      50.065586,       -0.960553,  106026.39,  171074.73,       0.00,               25.42,   130.47,      0.00,           46558.12,     15.79,      9.70,          22.34,  +5.49,  +4.32
  1,     UK0009,       1,  0.039588, 2459437.383336276747, 273.61384,  -1.50671,              183.89337,  37.16624,       183.85527,       37.14809,    273.61384,      -1.50671,     273.64359,       -1.52613,   478633.98, -4142375.19,  4947333.02,      50.060097,       -0.973837,  104620.60,  170728.80,    1809.17,             1834.58,    78.54,  45699.91,           46558.12,     89.82,     55.21,         127.38,  +5.16,  +4.00
  2,     UK0009,       0,  0.079204, 2459437.383336735424, 273.27366,  -2.08953,              184.28542,  36.56883,       184.28939,       36.57071,    273.27366,      -2.08953,     273.27089,       -2.08749,   477513.42, -4142022.50,  4945674.48,      50.053925,       -0.988743,  103041.55,  170362.31,    3841.60,             3867.02,   248.56,  51303.38,           46558.12,     -9.38,     -5.76,          13.33,  +3.15,  +1.99
  3,     UK0009,       0,  0.118856, 2459437.383337194100, 272.96930,  -2.53906,              184.63531,  36.10501,       184.63506,       36.10489,    272.96930,      -2.53906,     272.97000,       -2.53919,   476615.01, -4141739.73,  4944344.75,      50.048973,       -1.000729,  101775.71,  170085.70,    5471.10,             5496.52,    13.96,  41095.03,           46558.12,      0.59,      0.36,           0.84,  +2.14,  +0.99
  4,     UK0009,       0,  0.158460, 2459437.383337652776, 272.62677,  -3.04698,              185.02372,  35.57975,       185.01976,       35.57788,    272.62677,      -3.04698,     272.63055,       -3.04903,   475604.20, -4141421.59,  4942848.66,      50.043397,       -1.014197,  100351.69,  169792.67,    7304.47,             7329.89,   -14.53,  46292.47,           46116.47,      9.40,      5.78,          13.41,  +1.63,  +0.48
  5,     UK0009,       0,  0.198052, 2459437.383338110987, 272.27346,  -3.56123,              185.41933,  35.04622,       185.40622,       35.04003,    272.27346,      -3.56123,     272.28466,       -3.56804,   474578.45, -4141098.74,  4941330.44,      50.037736,       -1.027864,   98906.80,  169515.18,    9164.95,             9190.37,   -15.33,  46991.39,           46115.19,     31.24,     19.20,          44.62,  +1.52,  +0.37
  6,     UK0009,       0,  0.237672, 2459437.383338569198, 271.93770,  -4.10233,              185.78604,  34.48562,       185.79526,       34.48996,    271.93770,      -4.10233,     271.93136,       -4.09752,   473535.06, -4140770.34,  4939786.14,      50.031972,       -1.041766,   97437.28,  169253.54,   11057.41,            11082.82,    14.52,  47765.13,           46291.53,    -22.04,    -13.54,          31.52,  +1.42,  +0.28
  7,     UK0009,       0,  0.277264, 2459437.383339027409, 271.58559,  -4.61837,              186.16892,  33.94773,       186.17203,       33.94919,    271.58559,      -4.61837,     271.58426,       -4.61674,   472514.59, -4140449.15,  4938275.73,      50.026332,       -1.055369,   96000.22,  169017.91,   12908.32,            12933.73,     4.15,  46749.59,           46403.16,     -7.45,     -4.58,          10.67,  +1.63,  +0.49
  8,     UK0009,       0,  0.316876, 2459437.383339486085, 271.24726,  -5.12498,              186.53077,  33.41893,       186.53492,       33.42087,    271.24726,      -5.12498,     271.24526,       -5.12280,   471522.28, -4140136.82,  4936807.02,      50.020843,       -1.068604,   94603.02,  168808.08,   14708.12,            14733.54,   -58.27,  45435.92,           46390.78,     -9.96,     -6.12,          14.28,  +1.88,  +0.74

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.