Orbital Analysis for matched events on 20211111_233213.369_UK

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Summary for Event
-----------------
shower ID 8 ORI (Orionids)
Lg 112.86° Bg -5.55° Vg 64.62km/s
mass 0.00839g, abs. mag 1.0
best visual mag 1.2
Path Details
------------
start -0.93° 51.38° 110.27km
end   -1.19° 51.40° 101.54km

Orbit Details
-------------
Semimajor axis 6.05A.U., eccentricity 0.93, inclination 167.16°, Period 14.87Y, LA Sun 229.50°, last Perihelion 2007-02-06

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: 2459530.480710297357
Time: 2021-11-11 23:32:13.384900 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003L and UK003S
 Convergence angle = 3.50704 deg
 R.A. = 113.77665  Dec = +16.30211 deg

Best intersection: Stations UK003L and UK003S with Qconv = 3.51 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2945540.24 +/- 100.95 m
 Y =   2790658.95 +/- 734.79 m
 Z =   5046496.03 +/- 555.34 m
 Vx =   -25255.84 +/- 240.61 m/s
 Vy =    57609.42 +/- 3611.01 m/s
 Vz =    18489.49 +/- 3007.16 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.201779e+03, -5.903360e+04, -4.393762e+04, +1.362414e+04, -1.140800e+05, -8.858516e+04
-5.903360e+04, +4.108161e+05, +3.100706e+05, -1.010960e+05, +8.759691e+05, +6.842606e+05
-4.393762e+04, +3.100706e+05, +2.351372e+05, -7.618379e+04, +6.550843e+05, +5.133415e+05
+1.362414e+04, -1.010960e+05, -7.618379e+04, +5.334944e+04, -3.678680e+05, -2.723348e+05
-1.140800e+05, +8.759691e+05, +6.550843e+05, -3.678680e+05, +3.989429e+06, +3.178969e+06
-8.858516e+04, +6.842606e+05, +5.133415e+05, -2.723348e+05, +3.178969e+06, +2.570903e+06

Timing offsets (from input data):
    UK003L: 0.000000 s
    UK003S: -0.005556 s

Reference point on the trajectory:
  Time: 2021-11-11 23:32:13.384900 UTC
  Lon     = +-0.926985 +/- 0.0085 deg
  Lat     = +51.383939 +/- 0.0002 deg
  Lat geo = +51.199334 +/- 0.0002 deg
  Ht      =  110253.00 +/- 705.37 m

  JD dynamic   = 2459530.481511214282 
  LST apparent = 43.4533506296 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 113.67254 +/- 1.1006 deg
  Dec       = +16.38015 +/- 1.6945 deg
  Azimuth   =  94.91851 +/- 0.3224 deg
  Elevation = +25.02307 +/- 1.9794 deg
  Vavg      =  63.91446 +/- 3.6846 km/s
  Vinit     =  65.56344 +/- 4.0568 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 113.76334 +/- 1.1006 deg
  Dec       = +16.31179 +/- 1.6945 deg
  Azimuth   =  94.89416 +/- 0.3224 deg
  Elevation = +24.91454 +/- 1.9794 deg
  Vavg      =  64.18171 +/- 3.6846 km/s
  Vinit     =  65.83068 +/- 4.0568 km/s
Radiant (geocentric, J2000):
  R.A.   = 113.71920 +/- 1.1628 deg
  Dec    = +16.02678 +/- 1.7663 deg
  Vg     =  64.61777 +/- 4.1169 km/s
  Vinf   =  65.56344 +/- 4.0568 km/s
  Zc     =  64.96124 +/- 1.9841 deg
  Zg     =  65.49115 +/- 2.0729 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 112.85748 +/- 1.3972 deg
  Bg     =  -5.54868 +/- 1.5624 deg
  Vh     =  40.56603 +/- 4.2677 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  92.63036 +/- 0.2795 deg
  Bh     =  -8.85904 +/- 2.9367 deg
  Vh_x   =   1.83946 +/- 0.2952 km/s
  Vh_y   = -40.03986 +/- 4.5325 km/s
  Vh_z   =   6.24733 +/- 1.3340 km/s
Orbit:
  La Sun = 229.500830 +/- -0.0000 deg
  a      =   6.048107 +/- 10.4710 AU
  e      =   0.925056 +/- 0.1671
  i      = 167.157472 +/- 4.1705 deg
  peri   =  97.360487 +/- 12.1796 deg
  node   =  49.497998 +/- 0.0011 deg
  Pi     = 146.858485 +/- 12.1807 deg
  q      =   0.453272 +/- 0.0495 AU
  f      = 262.636329 +/- 12.1786 deg
  M      = 357.350616 +/- nan deg
  Q      =  11.642942 +/- 20.9530 AU
  n      =   0.066264 +/- 0.1934 deg/day
  T      =  14.874071 +/- nan years
  Last perihelion JD = 2454137.614985 (2007-02-06 02:45:34.671119) +/- 20870.0447 days
  Tj     =   0.062026 +/- 2.1216
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.925252e-03, +2.369464e-03, -1.588380e+03, -3.474295e-05, -5.734755e-01, +1.803725e-01
q   , +2.369464e-03, +9.886038e-04, -5.361216e+02, -1.390929e-05, -2.367085e-01, +7.309331e-02
Tp  , -1.588380e+03, -5.361216e+02, +1.148703e+09, +8.912446e+00, +1.312970e+05, -4.024328e+04
node, -3.474295e-05, -1.390929e-05, +8.912446e+00, +2.054571e-07, +3.379767e-03, -1.079449e-03
peri, -5.734755e-01, -2.367085e-01, +1.312970e+05, +3.379767e-03, +5.699541e+01, -1.783937e+01
i   , +1.803725e-01, +7.309331e-02, -4.024328e+04, -1.079449e-03, -1.783937e+01, +5.801558e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 6.970241
 a2 = 14.023835

Mean time residuals from time vs. length:
  Station with reference time: UK003L
  Avg. res. = 1.304e-06 s
  Stddev    = 1.14e-03 s

Begin point on the trajectory:
  Lon =    -0.926589 +/- 0.0085 deg
  Lat =    51.383918 +/- 0.0001 deg
  Ht  = 110266.15 +/- 707.34 m
End point on the trajectory:
  Lon =    -1.192136 +/- 0.0073 deg
  Lat =    51.397847 +/- 0.0003 deg
  Ht  = 101538.03 +/- 721.43 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
    UK003L,   False,    -1.801730,    51.352040,  131.00,   4.772485,  15.284749,   110018.81,   101538.03,          0.019890,     42.31,      0.21,              37.86, 1.0000,    True,    True, {"ff_name": "FF_UK003L_20211111_233203_526_0587264.fits"}
    UK003S,   False,    -2.379340,    51.361330,  169.00,  17.763876,  10.667824,   110266.15,   101579.18,          0.011119,     26.78,      1.55,              24.30, 1.0000,    True,    True, {"ff_name": "FF_UK003S_20211111_233207_699_0584960.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,     UK003L,       0,  0.000000, 2459530.480710297357,  85.79321,  44.46105,               86.34770,  60.67865,        86.26004,       60.66946,     85.79321,     +44.46105,      85.83375,      +44.49408,  2945753.53,  2790172.43,  5046339.88,      51.384319,       -0.933980,  110018.81,  125709.74,       0.00,              553.69,   247.32,      0.00,           64079.93,     -0.53,    -96.33,         158.06,  +3.08,  +2.58
  1,     UK003L,       0,  0.039996, 2459530.480710760225,  85.13004,  44.92506,               85.97672,  61.31521,        85.97150,       61.31465,     85.13004,     +44.92506,      85.13257,      +44.92700,  2946668.53,  2788085.30,  5045670.02,      51.385944,       -0.964436,  109014.57,  123805.35,    2375.30,             2928.99,     0.35,  59388.49,           64079.93,     -0.02,     -5.55,           9.25,  +1.75,  +1.29
  2,     UK003L,       0,  0.079940, 2459530.480711222626,  84.33473,  45.38594,               85.67285,  62.02665,        85.64016,       62.02320,     84.33473,     +45.38594,      84.34952,      +45.39795,  2947643.55,  2785861.24,  5044956.22,      51.387668,       -0.996892,  107945.22,  121795.05,    4906.43,             5460.12,   -87.39,  63366.89,           64079.93,     -0.16,    -33.42,          56.60,  +1.19,  +0.76
  3,     UK003L,       0,  0.119928, 2459530.480711685494,  83.46053,  45.94459,               85.19721,  62.82467,        85.24311,       62.82956,     83.46053,     +45.94459,      83.44130,      +45.92801,  2948717.54,  2783411.43,  5044169.97,      51.389557,       -1.032640,  106768.25,  119604.62,    7694.48,             8248.17,    78.91,  69722.14,           64079.93,      0.17,     44.93,          77.48,  +1.39,  +1.00
  4,     UK003L,       0,  0.159888, 2459530.480712147895,  82.58754,  46.43373,               84.80982,  63.58230,        84.84962,       63.58654,     82.58754,     +46.43373,      82.57159,      +46.41958,  2949692.14,  2781188.32,  5043456.47,      51.391262,       -1.065110,  105701.02,  117638.72,   10224.53,            10778.22,   -10.96,  63314.58,           64467.61,      0.14,     37.38,          65.54,  +1.50,  +1.15
  5,     UK003L,       0,  0.199840, 2459530.480712610297,  81.62851,  46.94525,               84.38593,  64.39461,        84.40394,       64.39653,     81.62851,     +46.94525,      81.62208,      +46.93896,  2950702.11,  2778884.55,  5042717.09,      51.393021,       -1.098765,  104595.91,  115625.31,   12846.37,            13400.06,    -8.51,  65624.80,           64743.61,      0.07,     16.17,          28.85,  +1.20,  +0.88
  6,     UK003L,       0,  0.239788, 2459530.480713072699,  80.72251,  47.39145,               84.01554,  65.13861,        83.97402,       65.13421,     80.72251,     +47.39145,      80.73974,      +47.40572,  2951593.20,  2776851.95,  5042064.73,      51.394565,       -1.128490,  103621.58,  113869.26,   15159.62,            15713.31,  -314.39,  57906.41,           64110.05,     -0.17,    -35.79,          64.82,  +1.27,  +0.99
  7,     UK003L,       0,  0.279768, 2459530.480713535566,  79.70787,  47.92958,               83.45698,  65.97716,        83.45167,       65.97660,     79.70787,     +47.92958,      79.71104,      +47.93137,  2952580.96,  2774598.82,  5041341.60,      51.396268,       -1.161435,  102542.33,  111947.38,   17723.83,            18277.52,  -371.40,  64137.31,           63848.26,     -0.02,     -4.37,           8.04,  +1.95,  +1.70
  8,     UK003L,       0,  0.319732, 2459530.480713997968,  78.68719,  48.41741,               82.94910,  66.78949,        82.91527,       66.78589,     78.68719,     +48.41741,      78.70078,      +48.42857,  2953500.79,  2772500.67,  5040668.21,      51.397847,       -1.192136,  101538.03,  110181.33,   20111.66,            20665.35,  -603.75,  59749.68,           63452.85,     -0.13,    -26.56,          49.72,  +3.52,  +3.31
  0,     UK003S,       0,  0.000341, 2459530.480710473377,  99.53785,  35.69392,               88.00966,  46.71316,        88.00949,       46.71313,     99.53785,     +35.69392,      99.53803,      +35.69399,  2945528.27,  2790686.26,  5046504.79,      51.383918,       -0.926589,  110266.15,  150123.74,       0.00,               31.08,  -297.66,      0.00,           68810.16,      0.02,     -0.32,           0.44,  +3.20,  +2.32
  1,     UK003S,       0,  0.039993, 2459530.480710932519,  99.20788,  36.05391,               87.85347,  47.14871,        87.85701,       47.14929,     99.20788,     +36.05391,      99.20566,      +36.05242,  2946654.92,  2788116.32,  5045679.98,      51.385920,       -0.964048,  109029.49,  147429.17,    2924.76,             2893.68,   -34.78,  73760.73,           68810.16,     -0.37,      6.36,           8.91,  +2.65,  +1.81
  2,     UK003S,       0,  0.079665, 2459530.480711391661,  98.90198,  36.40405,               87.68456,  47.56150,        87.70915,       47.56556,     98.90198,     +36.40405,      98.88544,      +36.39375,  2947692.95,  2785748.56,  5044920.06,      51.387755,       -0.998589,  107891.06,  144954.23,    5619.44,             5588.36,    58.86,  67923.86,           68810.16,     -2.51,     43.15,          61.50,  +2.13,  +1.32
  3,     UK003S,       0,  0.119337, 2459530.480711850803,  98.57344,  36.73614,               87.54797,  47.97560,        87.56042,       47.97765,     98.57344,     +36.73614,      98.56548,      +36.73094,  2948686.97,  2783481.16,  5044192.35,      51.389503,       -1.031687,  106801.73,  142591.70,    8199.89,             8168.81,    38.28,  65044.62,           68810.16,     -1.23,     21.31,          30.88,  +1.91,  +1.14
  4,     UK003S,       0,  0.158997, 2459530.480712309945,  98.24044,  37.08024,               87.39516,  48.39859,        87.40532,       48.40026,     98.24044,     +37.08024,      98.23426,      +37.07601,  2949673.73,  2781230.32,  5043469.95,      51.391230,       -1.064558,  105721.17,  140254.34,   10761.50,            10730.42,    -0.35,  64589.34,           67560.01,     -0.98,     16.98,          25.01,  +1.86,  +1.13
  5,     UK003S,       0,  0.198669, 2459530.480712769087,  97.91355,  37.42303,               87.23341,  48.81545,        87.24939,       48.81808,     97.91355,     +37.42303,      97.90364,      +37.41640,  2950618.17,  2779076.02,  5042778.54,      51.392875,       -1.096039,  104687.72,  138024.70,   13213.24,            13182.16,  -149.64,  61800.36,           66379.86,     -1.51,     26.09,          39.05,  +1.79,  +1.09
  6,     UK003S,       0,  0.238321, 2459530.480713227764,  97.56472,  37.77847,               87.06667,  49.25222,        87.08343,       49.25498,     97.56472,     +37.77847,      97.55451,      +37.77153,  2951574.83,  2776893.86,  5042078.18,      51.394533,       -1.127936,  103641.67,  135774.53,   15696.68,            15665.61,  -265.92,  62630.94,           65556.90,     -1.55,     26.70,          40.63,  +1.74,  +1.08
  7,     UK003S,       0,  0.277965, 2459530.480713686906,  97.20796,  38.15082,               86.87832,  49.70253,        86.90831,       49.70748,     97.20796,     +38.15082,      97.18916,      +38.13847,  2952533.93,  2774706.12,  5041376.04,      51.396187,       -1.159928,  102593.70,  133527.30,   18186.48,            18155.40,  -375.32,  62803.87,           64984.70,     -2.71,     46.57,          72.05,  +1.95,  +1.32
  8,     UK003S,       0,  0.317597, 2459530.480714145582,  96.81123,  38.50056,               86.74002,  50.16215,        86.72963,       50.16045,     96.81123,     +38.50056,      96.81950,      +38.50483,  2953463.09,  2772586.66,  5040695.80,      51.397782,       -1.190938,  101579.18,  131358.70,   20598.57,            20567.50,  -561.64,  60862.24,           64443.05,      0.90,    -15.73,          24.73,  +4.08,  +3.49
  9,     UK003S,       1,  0.357241, 2459530.480714604259,  96.45395,  38.88962,               86.51587,  50.61899,        86.54331,       50.62353,     96.45395,     +38.88962,      96.43744,      +38.87839,  2954382.88,  2770488.59,  5040022.44,      51.399354,       -1.221649,  100575.60,  129220.78,   22986.32,            22955.24,  -773.09,  60229.64,           63937.53,     -2.35,     40.51,          64.78,  +5.42,  +4.86

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.