Orbital Analysis for matched events on 20211103_043826.223_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 144.50° Bg 0.93° Vg 67.31km/s
mass 0.00392g, abs. mag 1.1
best visual mag 1.5
Path Details
------------
start -4.00° 53.85° 110.36km
end   -4.13° 53.91° 101.40km

Orbit Details
-------------
Semimajor axis 3.01A.U., eccentricity 0.73, inclination 178.23°, Period 5.22Y, LA Sun 220.68°, last Perihelion 2021-09-27

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: 2459521.693359072786
Time: 2021-11-03 04:38:26.270197 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003V and UK003Y
 Convergence angle = 74.05503 deg
 R.A. = 147.55138  Dec = +14.40781 deg

Best intersection: Stations UK003V and UK003Y with Qconv = 74.06 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -1204633.52 +/- 7.12 m
 Y =   3643469.73 +/- 15.89 m
 Z =   5216749.87 +/- 14.79 m
 Vx =   -55554.56 +/- 2366.08 m/s
 Vy =    35757.67 +/- 1646.74 m/s
 Vz =    17013.88 +/- 830.66 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.583968e+01, +1.834378e+01, +3.572614e+01, +9.662152e+01, +1.620160e+02, +1.912187e+02
+1.834378e+01, +1.291567e+02, +5.619415e+01, +1.327368e+02, +4.308162e+02, +1.071227e+02
+3.572614e+01, +5.619415e+01, +1.712802e+02, +2.002175e+02, +2.659539e+02, +6.558106e+02
+9.662152e+01, +1.327368e+02, +2.002175e+02, +1.065300e+03, +1.535871e+03, +2.101435e+03
+1.620160e+02, +4.308162e+02, +2.659539e+02, +1.535871e+03, +3.265905e+03, +1.845058e+03
+1.912187e+02, +1.071227e+02, +6.558106e+02, +2.101435e+03, +1.845058e+03, +5.949648e+03

Timing offsets (from input data):
    UK003V: 0.000000 s
    UK003Y: -0.000037 s

Reference point on the trajectory:
  Time: 2021-11-03 04:38:26.270197 UTC
  Lon     = +-3.977333 +/- 0.0002 deg
  Lat     = +53.842092 +/- 0.0001 deg
  Lat geo = +53.661746 +/- 0.0001 deg
  Ht      =  111857.02 +/- 15.18 m

  JD dynamic   = 2459521.694160349667 
  LST apparent = 108.2953378840 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 147.23266 +/- 0.0881 deg
  Dec       = +14.44117 +/- 0.0778 deg
  Azimuth   = 127.14456 +/- 0.1196 deg
  Elevation = +40.22450 +/- 0.0703 deg
  Vavg      =  69.57160 +/- 0.0333 km/s
  Vinit     =  68.22310 +/- 2.9711 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 147.42092 +/- 0.0881 deg
  Dec       = +14.40436 +/- 0.0778 deg
  Azimuth   = 126.95950 +/- 0.1196 deg
  Elevation = +40.10368 +/- 0.0703 deg
  Vavg      =  69.74227 +/- 0.0333 km/s
  Vinit     =  68.39377 +/- 2.9711 km/s
Radiant (geocentric, J2000):
  R.A.   = 147.11522 +/- 0.0776 deg
  Dec    = +14.23333 +/- 0.0898 deg
  Vg     =  67.31491 +/- 3.0079 km/s
  Vinf   =  68.22310 +/- 2.9711 km/s
  Zc     =  49.66676 +/- 0.0702 deg
  Zg     =  50.02209 +/- 0.0723 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 144.49778 +/- 0.0653 deg
  Bg     =  +0.93138 +/- 0.0972 deg
  Vh     =  38.64908 +/- 2.9751 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 154.55912 +/- 0.6278 deg
  Bh     =  +1.62250 +/- 0.1332 deg
  Vh_x   =  34.88724 +/- 2.4765 km/s
  Vh_y   = -16.59620 +/- 1.7055 km/s
  Vh_z   =  -1.09432 +/- 0.1621 km/s
Orbit:
  La Sun = 220.679973 +/- -0.0000 deg
  a      =   3.010771 +/- 3.5332 AU
  e      =   0.734621 +/- 0.2295
  i      = 178.226081 +/- 0.1404 deg
  peri   = 122.737549 +/- 7.9361 deg
  node   = 220.707236 +/- 0.0019 deg
  Pi     = 343.444785 +/- 7.9353 deg
  q      =   0.798994 +/- 0.0292 AU
  f      =  57.287840 +/- 7.9369 deg
  M      =   6.919436 +/- nan deg
  Q      =   5.222548 +/- 7.0956 AU
  n      =   0.188663 +/- 0.0369 deg/day
  T      =   5.224170 +/- nan years
  Last perihelion JD = 2459485.018047 (2021-09-27 12:25:59.239823) +/- 0.0977 days
  Tj     =   0.696938 +/- 1.5396
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.306536e-07, -6.441517e-07, -3.461808e-05, +6.122981e-07, -9.497653e-05, +4.098793e-05
q   , -6.441517e-07, +2.961285e-06, +1.832145e-04, -1.354788e-06, +4.603822e-04, -8.833856e-05
Tp  , -3.461808e-05, +1.832145e-04, +1.147953e-02, -7.467396e-05, +2.862640e-02, -4.837900e-03
node, +6.122981e-07, -1.354788e-06, -7.467396e-05, +2.261340e-06, -2.005558e-04, +1.557081e-04
peri, -9.497653e-05, +4.603822e-04, +2.862640e-02, -2.005558e-04, +7.171637e-02, -1.304028e-02
i   , +4.098793e-05, -8.833856e-05, -4.837900e-03, +1.557081e-04, -1.304028e-02, +1.075824e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 121.960209
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK003V
  Avg. res. = 5.618e-06 s
  Stddev    = 2.37e-03 s

Begin point on the trajectory:
  Lon =    -3.998355 +/- 0.0001 deg
  Lat =    53.851505 +/- 0.0001 deg
  Ht  = 110363.96 +/- 12.16 m
End point on the trajectory:
  Lon =    -4.125922 +/- 0.0001 deg
  Lat =    53.908089 +/- 0.0001 deg
  Ht  = 101401.05 +/- 9.51 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
    UK003V,   False,    -3.365533,    53.307748,  184.00,   0.000000,   0.000000,   109991.87,   101401.05,          0.007544,     17.23,      2.16,              81.36, 1.0000,    True,    True, {"ff_name": "FF_UK003V_20211103_043817_968_1023488.fits"}
    UK003Y,   False,    -3.059440,    54.994170,   18.00, 135.315725,   0.000000,   110363.96,   102640.53,          0.005089,      6.17,     14.41,              58.07, 1.0000,    True,    True, {"ff_name": "FF_UK003Y_20211103_043823_949_1027840.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,     UK003V,       1,  0.000000, 2459521.693359072786,  42.33973,  70.46483,              326.09511,  56.63189,       325.98071,       56.64770,     42.33973,     +70.46483,      42.40194,      +70.40341, -1204625.82,  3643464.77,  5216747.51,      53.842131,       -3.977226,  111850.92,  133190.31,       0.00,                9.46,  -102.25,      0.00,           69018.01,    -19.00,    149.58,         233.51,  +4.86,  +4.24
  1,     UK003V,       0,  0.040880, 2459521.693359545898,  38.99361,  69.97632,              325.45410,  55.45201,       325.44708,       55.45297,     38.99361,     +69.97632,      38.99825,      +69.97252, -1202281.23,  3641955.68,  5216029.46,      53.853852,       -4.003575,  109991.87,  132787.38,    2879.25,             2888.71,   -11.96,  70431.81,           69018.01,     -1.19,      9.42,          14.75,  +3.58,  +2.96
  2,     UK003V,       0,  0.081676, 2459521.693360018078,  36.12596,  69.54840,              325.01475,  54.40172,       325.00422,       54.40317,     36.12596,     +69.54840,      36.13380,      +69.54267, -1200236.00,  3640639.27,  5215403.10,      53.864077,       -4.026606,  108370.79,  132486.72,    5390.87,             5400.33,  -283.57,  61565.28,           69018.01,     -1.82,     14.45,          22.67,  +1.94,  +1.33
  3,     UK003V,       0,  0.122688, 2459521.693360492587,  32.65899,  68.93682,              324.48191,  53.06614,       324.47471,       53.06713,     32.65899,     +68.93682,      32.66528,      +68.93289, -1197648.33,  3638973.71,  5214610.61,      53.877016,       -4.055733,  106320.56,  132173.08,    8568.63,             8578.08,    96.22,  77483.57,           69018.01,     -1.28,     10.17,          15.99,  +1.71,  +1.10
  4,     UK003V,       0,  0.163632, 2459521.693360966630,  29.59635,  68.30294,              324.00983,  51.81512,       324.00796,       51.81537,     29.59635,     +68.30294,      29.59866,      +68.30193, -1195237.89,  3637422.23,  5213872.40,      53.889069,       -4.082909,  104411.55,  131949.67,   11528.74,            11538.20,   263.00,  72296.63,           70275.46,     -0.34,      2.70,           4.25,  +1.83,  +1.23
  5,     UK003V,       0,  0.204436, 2459521.693361438811,  27.11777,  67.71882,              323.62606,  50.74525,       323.62864,       50.74490,     27.11777,     +67.71882,      27.11623,      +67.72021, -1193185.43,  3636101.17,  5213243.83,      53.899333,       -4.106099,  102786.66,  131812.41,   14049.23,            14058.69,    -0.28,  61770.69,           69422.33,      0.48,     -3.80,           6.00,  +1.54,  +0.94
  6,     UK003V,       0,  0.245120, 2459521.693361909594,  25.11593,  67.18077,              323.29266,  49.83237,       323.31717,       49.82904,     25.11593,     +67.18077,      25.09313,      +67.19403, -1191434.70,  3634974.31,  5212707.66,      53.908089,       -4.125922,  101401.05,  131734.14,   16199.20,            16208.66,  -625.90,  52845.60,           67351.55,      4.62,    -36.86,          58.17,  +3.23,  +2.63
  0,     UK003Y,       0,  0.046241, 2459521.693359608762,  88.70366,   4.81286,              205.98341,  37.16604,       205.98318,       37.16570,     88.70366,      +4.81286,      88.70395,       +4.81248, -1202750.57,  3642257.77,  5216173.20,      53.851505,       -3.998355,  110363.96,  180032.11,       0.00,             2312.33,  -954.05,      0.00,           76709.31,      1.14,      0.49,           1.42,  +4.68,  +3.40
  1,     UK003Y,       0,  0.086841, 2459521.693360078614,  87.70951,   4.55867,              207.09924,  36.66556,       207.10312,       36.67111,     87.70951,      +4.55867,      87.70832,       +4.56484, -1199719.03,  3640306.52,  5215244.78,      53.866662,       -4.032410,  107961.13,  178110.82,    3722.85,             6035.18,    -1.07,  91695.72,           76709.31,    -18.18,     -7.78,          22.91,  +3.09,  +1.84
  2,     UK003Y,       0,  0.127257, 2459521.693360546138,  86.99454,   4.39218,              207.89896,  36.31568,       207.89568,       36.31106,     86.99454,      +4.39218,      86.99638,       +4.38702, -1197591.80,  3638937.33,  5214593.30,      53.877298,       -4.056385,  106275.78,  176798.34,    6335.17,             8647.51,  -146.05,  64635.93,           76709.31,     15.10,      6.47,          19.17,  +2.66,  +1.42
  3,     UK003Y,       0,  0.167785, 2459521.693361015525,  86.12604,   4.16092,              208.85161,  35.85645,       208.85628,       35.86291,     86.12604,      +4.16092,      86.12490,       +4.16817, -1195026.34,  3637286.07,  5213807.62,      53.890127,       -4.085298,  104244.05,  175253.61,    9485.65,            11797.98,   239.48,  77735.73,           76709.31,    -21.04,     -9.01,          26.94,  +2.26,  +1.04
  4,     UK003Y,       0,  0.208201, 2459521.693361483049,  85.42537,   3.98990,              209.61822,  35.49601,       209.61955,       35.49783,     85.42537,      +3.98990,      85.42571,       +3.99196, -1193000.82,  3635982.35,  5213187.29,      53.900256,       -4.108186,  102640.53,  174065.65,   11973.06,            14285.40,   -30.40,  61545.41,           73383.62,     -5.93,     -2.54,           7.65,  +2.78,  +1.58

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.