Orbital Analysis for matched events on 20210816_230422.556_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 336.87° Bg 17.64° Vg 31.69km/s
mass 0.00678g, abs. mag 2.0
Path Details
------------
start -1.82° 50.46° 91.28km
end   -1.87° 50.51° 84.63km

Orbit Details
-------------
Semimajor axis 3.43A.U., eccentricity 0.89, inclination 22.95°, Period 6.34Y, LA Sun 143.99°, last Perihelion 2015-05-27

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: 2459443.461372181308
Time: 2021-08-16 23:04:22.556465 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK002D
 Convergence angle = 48.97207 deg
 R.A. = 332.35745  Dec =  +8.59915 deg

Best intersection: Stations UK000H and UK002D with Qconv = 48.97 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2642773.68 +/- 73.67 m
 Y =  -3169317.75 +/- 83.15 m
 Z =   4965903.07 +/- 42.75 m
 Vx =    29273.07 +/- 789.15 m/s
 Vy =   -15630.48 +/- 50.29 m/s
 Vz =     5157.75 +/- 326.79 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.233394e+03, -5.636439e+03, +1.741136e+03, +2.167772e+04, -3.288231e+04, +1.327887e+04
-5.636439e+03, +7.978981e+03, -3.478308e+03, -3.832481e+04, +5.441087e+04, -2.534604e+04
+1.741136e+03, -3.478308e+03, +2.036810e+03, +1.978001e+04, -2.611613e+04, +1.436286e+04
+2.167772e+04, -3.832481e+04, +1.978001e+04, +2.161903e+05, -2.948238e+05, +1.519039e+05
-3.288231e+04, +5.441087e+04, -2.611613e+04, -2.948238e+05, +4.120500e+05, -2.002924e+05
+1.327887e+04, -2.534604e+04, +1.436286e+04, +1.519039e+05, -2.002924e+05, +1.116636e+05

Timing offsets (from input data):
    UK000H: -0.000852 s
    UK0022: 0.000000 s
    UK002D: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 23:04:22.556465 UTC
  Lon     = +-1.825116 +/- 0.0005 deg
  Lat     = +50.460252 +/- 0.0006 deg
  Lat geo = +50.273865 +/- 0.0006 deg
  Ht      =   91194.30 +/- 93.93 m

  JD dynamic   = 2459443.462172922213 
  LST apparent = 309.8234431305 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 331.89982 +/- 0.5640 deg
  Dec       =  +8.83454 +/- 0.3782 deg
  Azimuth   = 148.59869 +/- 0.6019 deg
  Elevation = +44.53780 +/- 0.5181 deg
  Vavg      =  32.56726 +/- 0.6268 km/s
  Vinit     =  33.58314 +/- 0.7007 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 332.37964 +/- 0.5640 deg
  Dec       =  +8.80470 +/- 0.3782 deg
  Azimuth   = 147.98795 +/- 0.6019 deg
  Elevation = +44.34918 +/- 0.5181 deg
  Vavg      =  32.68017 +/- 0.6268 km/s
  Vinit     =  33.69605 +/- 0.7007 km/s
Radiant (geocentric, J2000):
  R.A.   = 332.10237 +/- 0.5969 deg
  Dec    =  +7.42360 +/- 0.4478 deg
  Vg     =  31.69167 +/- 0.7428 km/s
  Vinf   =  33.58314 +/- 0.7007 km/s
  Zc     =  45.30319 +/- 0.5189 deg
  Zg     =  46.68883 +/- 0.5981 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 336.87274 +/- 0.4420 deg
  Bg     = +17.64324 +/- 0.6110 deg
  Vh     =  38.64418 +/- 0.6713 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 286.70268 +/- 0.5146 deg
  Bh     = +14.39244 +/- 0.5846 deg
  Vh_x   = -10.75797 +/- 0.4766 km/s
  Vh_y   =  35.85210 +/- 0.4445 km/s
  Vh_z   =  -9.60548 +/- 0.5422 km/s
Orbit:
  La Sun = 143.994177 +/- nan deg
  a      =   3.425257 +/- 0.9000 AU
  e      =   0.891835 +/- 0.0205
  i      =  22.950821 +/- 1.1091 deg
  peri   = 290.175911 +/- 1.5588 deg
  node   = 144.003106 +/- 0.0005 deg
  Pi     =  74.179017 +/- 1.5592 deg
  q      =   0.370494 +/- 0.0045 AU
  f      = 249.814717 +/- 1.5592 deg
  M      = 353.509786 +/- 2.0417 deg
  Q      =   6.480021 +/- 1.7958 AU
  n      =   0.155476 +/- 0.0463 deg/day
  T      =   6.339287 +/- 2.8268 years
  Last perihelion JD = 2457169.741467 (2015-05-27 05:47:42.777726) +/- 1033.1221 days
  Tj     =   2.195255 +/- 0.3021
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.876219e-04, +1.044434e-04, -2.341458e+01, -1.898538e-07, -6.433941e-04, +4.400135e-04
q   , +1.044434e-04, +2.399127e-05, -5.013920e+00, -3.789889e-08, -1.415832e-04, +8.824975e-05
Tp  , -2.341458e+01, -5.013920e+00, +1.276758e+06, +8.681404e-03, +3.048095e+01, -2.061708e+01
node, -1.898538e-07, -3.789889e-08, +8.681404e-03, +8.013293e-11, +2.452925e-07, -1.834062e-07
peri, -6.433941e-04, -1.415832e-04, +3.048095e+01, +2.452925e-07, +8.588541e-04, -5.680764e-04
i   , +4.400135e-04, +8.824975e-05, -2.061708e+01, -1.834062e-07, -5.680764e-04, +4.216411e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.120423
 a2 = 25.597086

Mean time residuals from time vs. length:
  Station with reference time: UK002D
  Avg. res. = 1.059e-05 s
  Stddev    = 3.25e-03 s

Begin point on the trajectory:
  Lon =    -1.824450 +/- 0.0001 deg
  Lat =    50.459556 +/- 0.0005 deg
  Ht  = 91284.90 +/- 104.13 m
End point on the trajectory:
  Lon =    -1.874719 +/- 0.0002 deg
  Lat =    50.510770 +/- 0.0005 deg
  Ht  = 84631.47 +/- 102.30 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   2.187272,  15.709493,    91069.68,    84631.47,          0.015726,      1.72,     26.32,              28.48, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210816_230416_513_0272384.fits"}
    UK0022,    True,    -0.848117,    51.261084,   92.00, 6025.751349,   1.104532,    98303.67,    95224.24,          0.529021,       nan,       nan,              50.37, 0.0000,    True,    True, {"ff_name": "FF_UK0022_20210816_230416_026_0009216.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,    91284.90,    84931.27,          0.018539,     30.98,     29.56,              23.75, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210816_230416_540_0270848.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,     UK000H,       0,  0.013906, 2459443.461372352205, 307.71911,  24.63926,              184.42112,  63.72940,       184.40891,       63.73990,    307.71911,     +24.63926,     307.72572,      +24.64946,  2642618.81, -3169235.06,  4965875.78,      50.461211,       -1.826094,   91069.68,  101350.03,       0.00,              177.67,    -0.38,      0.00,           33711.05,    -20.86,     -1.36,          42.53,  +1.70,  +1.67
  1,     UK000H,       0,  0.053898, 2459443.461372815073, 307.35941,  24.82876,              185.18520,  63.89956,       185.17616,       63.90753,    307.35941,     +24.82876,     307.36457,      +24.83646,  2641410.34, -3168589.79,  4965662.86,      50.468687,       -1.833413,   90097.36,  100127.87,    1386.39,             1564.07,    42.95,  34666.75,           33711.05,    -15.53,     -1.02,          32.06,  +1.08,  +1.08
  2,     UK000H,       0,  0.093882, 2459443.461373277940, 307.01382,  25.01808,              185.92718,  64.06733,       185.92873,       64.06593,    307.01382,     +25.01808,     307.01336,      +25.01673,  2640267.42, -3167979.52,  4965461.48,      50.475760,       -1.840348,   89177.89,   98976.09,    2697.60,             2875.27,    11.37,  32793.29,           33711.05,      2.69,      0.18,           5.63,  +1.47,  +1.49
  3,     UK000H,       0,  0.133894, 2459443.461373740807, 306.62745,  25.18883,              186.75708,  64.21064,       186.73644,       64.22982,    306.62745,     +25.18883,     306.63963,      +25.20721,  2639082.35, -3167346.75,  4965252.68,      50.483095,       -1.847537,   88224.65,   97786.19,    4057.15,             4234.83,    27.20,  33978.63,           33711.05,    -36.07,     -2.33,          76.24,  +1.86,  +1.91
  4,     UK000H,       0,  0.173866, 2459443.461374203674, 306.27371,  25.39763,              187.53364,  64.39088,       187.53860,       64.38616,    306.27371,     +25.39763,     306.27160,      +25.39313,  2637947.27, -3166740.67,  4965052.68,      50.490123,       -1.854433,   87311.73,   96650.79,    5359.36,             5537.03,   -12.98,  32578.00,           33480.76,      8.72,      0.57,          18.65,  +1.88,  +1.95
  5,     UK000H,       0,  0.213882, 2459443.461374666542, 305.90997,  25.55371,              188.32645,  64.51455,       188.31020,       64.53051,    305.90997,     +25.55371,     305.92036,      +25.56889,  2636893.05, -3166177.77,  4964866.94,      50.496651,       -1.860854,   86463.95,   95600.24,    6568.80,             6746.47,  -147.41,  30223.80,           32949.37,    -29.01,     -1.87,          62.73,  +3.00,  +3.10
  6,     UK000H,       0,  0.253834, 2459443.461375128943, 305.52112,  25.80215,              189.20124,  64.72417,       189.22923,       64.69590,    305.52112,     +25.80215,     305.50546,      +25.77540,  2635677.14, -3165528.52,  4964652.70,      50.504183,       -1.868237,   85486.28,   94393.30,    7963.73,             8141.41,   -94.18,  34915.36,           32970.04,     50.46,      3.33,         110.51,  +4.81,  +4.94
  7,     UK000H,       0,  0.293862, 2459443.461375592276, 305.12716,  25.95408,              190.06918,  64.83343,       190.06388,       64.83898,    305.12716,     +25.95408,     305.13164,      +25.95931,  2634613.90, -3164960.81,  4964465.36,      50.510770,       -1.874719,   84631.47,   93342.39,    9183.52,             9361.19,  -218.67,  30473.19,           32770.39,     -9.75,     -0.63,          21.59,  +3.63,  +3.78
  0,     UK0022,       1,  2.061610, 2459443.461396042723, 284.49276,   5.31436,              214.65985,  39.10861,       215.00023,       39.59991,    284.49276,      +5.31436,     284.43184,       +5.86740,  2651629.09, -3174046.14,  4967463.35,      50.405522,       -1.781462,   98303.67,  152425.86,       0.00,            10159.25, -58787.12,      0.00,           35747.50,  -1217.54,    846.43,        2006.48,  +3.01,  +2.09
  1,     UK0022,       1,  2.101790, 2459443.461396507453, 284.12518,   5.29601,              215.09108,  38.95996,       215.41877,       39.42924,    284.12518,      +5.29601,     284.06732,       +5.82546,  2650493.33, -3173439.69,  4967263.23,      50.412536,       -1.788320,   97387.99,  151547.36,    1302.99,             8856.27, -61439.48,  32428.79,           35747.50,  -1159.44,    804.93,        1920.93,  +2.55,  +1.65
  2,     UK0022,       1,  2.141962, 2459443.461396972649, 283.77803,   5.26670,              215.49119,  38.80714,       215.81400,       39.26595,    283.77803,      +5.26670,     283.72150,       +5.78547,  2649428.46, -3172871.10,  4967075.61,      50.419114,       -1.794765,   96529.53,  150729.66,    2524.64,             7634.61, -64010.23,  30410.56,           35747.50,  -1130.22,    784.10,        1882.25,  +3.28,  +2.39
  3,     UK0022,       1,  2.182230, 2459443.461397438776, 283.24418,   5.22671,              216.10576,  38.57455,       216.41735,       39.01243,    283.24418,      +5.22671,     283.19039,       +5.72350,  2647808.55, -3172006.14,  4966790.19,      50.429123,       -1.804487,   95224.24,  149493.91,    4383.07,             5776.19, -67220.98,  46151.38,           35747.50,  -1073.98,    744.10,        1802.59,  +4.66,  +3.79
  0,     UK002D,       0,  0.000000, 2459443.461372181308, 309.15599,   3.27510,              180.92661,  41.91967,       180.92083,       41.90409,    309.15599,      +3.27510,     309.16014,       +3.25947,  2642886.27, -3169377.87,  4965922.91,      50.459556,       -1.824450,   91284.90,  135309.22,       0.00,              129.17,   418.13,      0.00,           32431.46,     26.39,    -27.58,          58.18,  +5.55,  +4.89
  1,     UK002D,       0,  0.040080, 2459443.461372645106, 308.97684,   3.17360,              181.16522,  41.81614,       181.17877,       41.85203,    308.97684,      +3.17360,     308.96736,       +3.20962,  2641883.67, -3168842.53,  4965746.26,      50.465759,       -1.830550,   90478.18,  134253.58,    1150.22,             1021.05,   -35.99,  28698.17,           32431.46,    -60.25,     63.26,         134.22,  +2.16,  +1.52
  2,     UK002D,       0,  0.080104, 2459443.461373108439, 308.74929,   3.13803,              181.46928,  41.77730,       181.47462,       41.79132,    308.74929,      +3.13803,     308.74586,       +3.15211,  2640747.25, -3168235.73,  4965546.03,      50.472790,       -1.837445,   89563.90,  133059.00,    2453.96,             2324.79,   -76.39,  32573.79,           32431.46,    -23.36,     24.48,          52.46,  +1.98,  +1.36
  3,     UK002D,       0,  0.120148, 2459443.461373571772, 308.49846,   3.07982,              181.80351,  41.71463,       181.80638,       41.72206,    308.49846,      +3.07982,     308.49697,       +3.08729,  2639491.40, -3167565.16,  4965324.75,      50.480563,       -1.845052,   88553.66,  131741.34,    3894.72,             3765.55,    19.57,  35979.56,           32431.46,    -12.28,     12.86,          27.84,  +2.44,  +1.84
  4,     UK002D,       0,  0.160196, 2459443.461374035571, 308.26606,   3.01384,              182.11229,  41.64370,       182.11720,       41.65628,    308.26606,      +3.01384,     308.26334,       +3.02649,  2638336.85, -3166948.69,  4965121.33,      50.487711,       -1.852062,   87625.05,  130532.37,    5219.25,             5090.08,    -0.84,  33073.62,           32919.48,    -20.61,     21.59,          47.17,  +3.11,  +2.53
  5,     UK002D,       0,  0.200232, 2459443.461374498904, 308.05182,   2.96488,              182.39676,  41.58950,       182.39928,       41.59588,    308.05182,      +2.96488,     308.05094,       +2.97131,  2637308.01, -3166399.34,  4964940.05,      50.494082,       -1.858331,   86797.64,  129457.04,    6399.58,             6270.41,  -165.05,  29481.58,           32567.92,    -10.39,     10.88,          23.97,  +3.34,  +2.78
  6,     UK002D,       0,  0.240292, 2459443.461374962237, 307.74864,   2.88598,              182.79818,  41.50204,       182.80057,       41.50801,    307.74864,      +2.88598,     307.74803,       +2.89199,  2635859.54, -3165625.92,  4964684.84,      50.503053,       -1.867094,   85632.95,  127946.22,    8061.32,             7932.15,   151.36,  41481.38,           33397.75,     -9.61,     10.05,          22.41,  +5.91,  +5.37
  7,     UK002D,       0,  0.280304, 2459443.461375425570, 307.55266,   2.86635,              183.05851,  41.47617,       183.04928,       41.45329,    307.55266,      +2.86635,     307.55998,       +2.84325,  2634986.82, -3165159.93,  4964531.07,      50.508459,       -1.872444,   84931.27,  127037.96,    9062.54,             8933.37,  -191.16,  25022.83,           33046.17,     36.67,    -38.28,          86.07,  +4.15,  +3.63

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.