Orbital Analysis for matched events on 20211103_195830.706_UK

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Summary for Event
-----------------
shower ID 494 DEL
Lg 98.30° Bg 29.83° Vg 47.24km/s
mass 0.02650g, abs. mag -0.2
best visual mag 1.1
Path Details
------------
start -3.78° 52.12° 100.05km
end   -3.86° 52.05° 95.11km

Orbit Details
-------------
Semimajor axis 1.27A.U., eccentricity 0.71, inclination 100.42°, Period 1.43Y, LA Sun 221.32°, last Perihelion 2020-07-18

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: 2459522.332299838308
Time: 2021-11-03 19:58:30.706030 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 2.01004 deg
 R.A. = 102.68823  Dec = +55.84073 deg

Best intersection: Stations UK000S and UK001Z with Qconv = 2.01 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3724666.03 +/- 683.67 m
 Y =  -1419116.13 +/- 888.01 m
 Z =   5089968.48 +/- 1369.10 m
 Vx =    -5729.37 +/- 76.54 m/s
 Vy =    28158.63 +/- 24765.65 m/s
 Vz =    39101.81 +/- 27541.96 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.290026e+05, +9.534525e+05, -1.439037e+06, +2.346821e+05, +2.322320e+05, -7.607471e+05
+9.534525e+05, +1.247566e+06, -1.881852e+06, +2.622791e+05, +2.590565e+05, -8.923808e+05
-1.439037e+06, -1.881852e+06, +2.851003e+06, -4.595182e+05, -5.181081e+05, +1.563897e+06
+2.346821e+05, +2.622791e+05, -4.595182e+05, +3.699652e+06, +3.556486e+06, -8.409695e+06
+2.322320e+05, +2.590565e+05, -5.181081e+05, +3.556486e+06, +3.805130e+06, -8.517396e+06
-7.607471e+05, -8.923808e+05, +1.563897e+06, -8.409695e+06, -8.517396e+06, +1.966949e+07

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK000S: 0.000000 s
    UK001Z: 0.011887 s

Reference point on the trajectory:
  Time: 2021-11-03 19:58:30.706030 UTC
  Lon     = +-3.778001 +/- 0.0087 deg
  Lat     = +52.119985 +/- 0.0054 deg
  Lat geo = +51.936208 +/- 0.0054 deg
  Ht      =   99980.48 +/- 498.98 m

  JD dynamic   = 2459522.333100579213 
  LST apparent = 339.1429125981 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 101.50084 +/- 9.6417 deg
  Dec       = +53.68814 +/- 7.3679 deg
  Azimuth   =  33.88163 +/- 9.3051 deg
  Elevation = +26.19437 +/- 3.3315 deg
  Vavg      =  46.70931 +/- 5.2065 km/s
  Vinit     =  48.52510 +/- 29.3748 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 101.19331 +/- 9.6417 deg
  Dec       = +53.45485 +/- 7.3679 deg
  Azimuth   =  34.19797 +/- 9.3051 deg
  Elevation = +26.10982 +/- 3.3315 deg
  Vavg      =  46.85535 +/- 5.2065 km/s
  Vinit     =  48.67115 +/- 29.3748 km/s
Radiant (geocentric, J2000):
  R.A.   = 101.98824 +/- 9.4142 deg
  Dec    = +52.92633 +/- 7.5867 deg
  Vg     =  47.23745 +/- 7.9054 km/s
  Vinf   =  48.52510 +/- 7.7477 km/s
  Zc     =  63.95825 +/- 3.3156 deg
  Zg     =  64.92026 +/- 3.5842 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  98.29942 +/- 4.8692 deg
  Bg     = +29.83345 +/- 8.1640 deg
  Vh     =  33.00244 +/- 7.6521 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  52.06816 +/- 10.2978 deg
  Bh     = +45.40272 +/- 11.2473 deg
  Vh_x   = -14.24416 +/- 4.0465 km/s
  Vh_y   = -18.27646 +/- 1.7213 km/s
  Vh_z   = -23.49969 +/- 10.5145 km/s
Orbit:
  La Sun = 221.320123 +/- -0.0000 deg
  a      =   1.268188 +/- 2.2684 AU
  e      =   0.707599 +/- 0.5265
  i      = 100.420233 +/- 4.8660 deg
  peri   = 300.735837 +/- 36.5066 deg
  node   = 221.319393 +/- 0.0000 deg
  Pi     = 162.055230 +/- 36.5066 deg
  q      =   0.370819 +/- 0.2334 AU
  f      = 239.264211 +/- 36.5066 deg
  M      = 326.503204 +/- nan deg
  Q      =   2.165557 +/- 4.6695 AU
  n      =   0.690127 +/- 0.6205 deg/day
  T      =   1.428158 +/- nan years
  Last perihelion JD = 2459049.226549 (2020-07-18 17:26:13.840038) +/- 292.2088 days
  Tj     =   3.977525 +/- 3.9920
Shower association:
  IAU No.  =  494
  IAU code =  DEL

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.888222e-03, -4.500083e-03, +3.492025e+00, -1.454394e-07, +5.978118e-01, -1.794118e-01
q   , -4.500083e-03, +2.030214e-02, -3.887900e+01, +2.380232e-07, -2.886788e+00, +2.944091e-01
Tp  , +3.492025e+00, -3.887900e+01, +8.901335e+04, -2.059532e-04, +5.642530e+03, -2.555970e+02
node, -1.454394e-07, +2.380232e-07, -2.059532e-04, +7.336452e-12, -3.178361e-05, +9.049881e-06
peri, +5.978118e-01, -2.886788e+00, +5.642530e+03, -3.178361e-05, +4.114121e+02, -3.932345e+01
i   , -1.794118e-01, +2.944091e-01, -2.555970e+02, +9.049881e-06, -3.932345e+01, +1.116383e+01

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: UK000S
  Avg. res. = 4.368e-06 s
  Stddev    = 2.09e-03 s

Begin point on the trajectory:
  Lon =    -3.776944 +/- 0.0089 deg
  Lat =    52.120954 +/- 0.0052 deg
  Ht  = 100045.39 +/- 485.97 m
End point on the trajectory:
  Lon =    -3.858294 +/- 0.0128 deg
  Lat =    52.047091 +/- 0.0161 deg
  Ht  = 95111.77 +/- 1333.86 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
    UK0006,    True,    -1.306160,    51.883100,   80.00, 1356.420420,   5.874764,   101382.62,    96813.49,          0.513868,       nan,       nan,              83.62, 0.0000,    True,    True, {"ff_name": "FF_UK0006_20211103_195830_364_0253184.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   100045.39,    96696.63,          0.024718,     23.97,     92.65,              56.64, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20211103_195824_449_0247552.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,    99146.47,    95111.77,          0.012719,     11.17,     37.25,              36.63, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20211103_195827_702_0241408.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,     UK0006,       1,  0.034109, 2459522.332300233189, 262.86835,  29.18498,              281.03308,  29.26263,       280.64483,       29.74176,    262.86835,     +29.18498,     263.52852,      +29.29481,  3724291.15, -1417273.68,  5092526.96,      52.140906,       -3.755307,  101382.62,  199551.80,       0.00,             3175.06,  1678.45,      0.00,           47256.41,  -1742.61,   1064.37,        2110.69,  +3.25,  +1.75
  1,     UK0006,       1,  0.074413, 2459522.332300699782, 263.02351,  28.79501,              280.61149,  29.07560,       280.26257,       29.50389,    263.02351,     +28.79501,     263.61313,      +28.89287,  3724459.54, -1418101.27,  5091377.74,      52.131510,       -3.765735,  100752.63,  199705.05,    1426.17,             1748.88, -1703.48,  35385.42,           47256.41,  -1561.79,    956.17,        1891.42,  +1.36,  -0.14
  2,     UK0006,       1,  0.114909, 2459522.332301168237, 263.18236,  28.18104,              280.01161,  28.72824,       279.67706,       29.13597,    263.18236,     +28.18104,     263.74272,      +28.27395,  3724719.66, -1419379.72,  5089602.46,      52.116991,       -3.781748,   99779.92,  199956.33,    3629.29,              454.24, -4963.20,  54403.37,           47256.41,  -1493.69,    915.27,        1807.10,  +1.61,  +0.11
  3,     UK0006,       1,  0.155377, 2459522.332301636692, 263.27737,  27.61554,              279.49911,  28.37583,       279.14930,       28.79974,    263.27737,     +27.61554,     263.85896,      +27.71204,  3724956.32, -1420542.83,  5087987.33,      52.103775,       -3.796326,   98895.48,  200206.74,    5633.65,             2458.60, -4922.55,  49529.55,           47256.41,  -1560.07,    955.09,        1884.59,  +1.64,  +0.13
  4,     UK0006,       1,  0.195825, 2459522.332302104682, 263.47948,  27.04166,              278.90407,  28.08136,       278.60101,       28.44600,    263.47948,     +27.04166,     263.97929,      +27.12434,  3725204.48, -1421762.50,  5086293.66,      52.089911,       -3.811600,   97968.55,  200490.13,    7735.49,             4560.43, -4783.46,  51963.88,           48663.77,  -1347.60,    827.30,        1626.84,  +2.28,  +0.77
  5,     UK0006,       1,  0.236429, 2459522.332302574534, 263.59511,  26.30600,              278.25041,  27.61464,       277.92478,       28.00372,    263.59511,     +26.30600,     264.12728,      +26.39414,  3725513.93, -1423283.38,  5084181.73,      52.072615,       -3.830598,   96813.49,  200871.47,   10356.38,             7181.32, -4132.89,  64547.50,           51344.50,  -1446.84,    887.04,        1742.70,  +5.23,  +3.72
  0,     UK000S,       0,  0.000000, 2459522.332299838308, 231.00916,  48.35425,              316.13402,  25.79644,       316.13815,       25.78602,    231.00916,     +48.35425,     230.99463,      +48.34885,  3724648.67, -1419030.80,  5090086.98,      52.120954,       -3.776944,  100045.39,  222804.70,       0.00,              147.06,   305.58,      0.00,           49160.52,     41.65,    -10.76,          39.82,  +3.22,  +1.48
  1,     UK000S,       0,  0.039916, 2459522.332300300244, 231.42828,  47.91324,              315.57796,  25.64890,       315.59363,       25.60974,    231.42828,     +47.91324,     231.37410,      +47.89310,  3724902.41, -1420277.88,  5088355.24,      52.106786,       -3.792562,   99097.00,  222065.17,    2149.07,             2002.02,   223.61,  53839.90,           49160.52,    156.20,    -40.44,         149.87,  +1.99,  +0.26
  2,     UK000S,       0,  0.079880, 2459522.332300762646, 231.72114,  47.53533,              315.13751,  25.49469,       315.14985,       25.46415,    231.72114,     +47.53533,     231.67925,      +47.51971,  3725108.33, -1421289.95,  5086949.85,      52.095283,       -3.805264,   98327.74,  221480.02,    3893.16,             3746.10,    28.44,  43641.32,           49160.52,    121.65,    -31.47,         117.02,  +1.21,  -0.52
  3,     UK000S,       0,  0.119860, 2459522.332301225513, 232.02231,  47.06713,              314.62578,  25.27748,       314.62125,       25.28856,    232.02231,     +47.06713,     232.03807,      +47.07276,  3725353.07, -1422492.77,  5085279.59,      52.081607,       -3.820324,   97413.98,  220799.18,    5965.94,             5818.89,   161.19,  51845.65,           49160.52,    -44.10,     11.37,          42.54,  +1.59,  -0.13
  4,     UK000S,       0,  0.159808, 2459522.332301687915, 232.31456,  46.71772,              314.20508,  25.14669,       314.20440,       25.14835,    232.31456,     +46.71772,     232.31751,      +46.71856,  3725545.29, -1423437.51,  5083967.70,      52.070862,       -3.832186,   96696.63,  220278.32,    7593.99,             7446.93,  -149.24,  40754.10,           47564.23,     -6.61,      1.71,           6.39,  +2.52,  +0.81
  0,     UK001Z,       0,  0.035402, 2459522.332300108857, 211.40215,  65.36334,              337.19523,  32.76451,       337.19349,       32.77635,    211.40215,     +65.36334,     211.42178,      +65.37207,  3724889.17, -1420212.82,  5088445.60,      52.107525,       -3.791687,   99146.47,  179739.84,       0.00,             1889.89,   330.52,      0.00,           45786.25,    -35.86,     10.76,          42.97,  +1.92,  +0.65
  1,     UK001Z,       0,  0.075298, 2459522.332300570328, 212.11630,  65.10503,              336.72687,  32.73220,       336.72774,       32.72653,    212.11630,     +65.10503,     212.10719,      +65.10090,  3725078.49, -1421143.31,  5087153.48,      52.096950,       -3.803378,   98439.18,  178708.15,    1603.50,             3493.40,    -1.94,  40192.07,           45786.25,     17.08,     -5.13,          20.58,  +1.46,  +0.20
  2,     UK001Z,       0,  0.115194, 2459522.332301032264, 212.92367,  64.76455,              336.15945,  32.66221,       336.15926,       32.66339,    212.92367,     +64.76455,     212.92606,      +64.76541,  3725307.29, -1422267.79,  5085592.00,      52.084166,       -3.817469,   97584.85,  177472.02,    3541.29,             5431.18,    -0.11,  48570.94,           45786.25,     -3.55,      1.07,           4.31,  +1.10,  -0.15
  3,     UK001Z,       0,  0.155090, 2459522.332301493734, 213.71228,  64.42377,              335.59518,  32.59321,       335.59438,       32.59801,    213.71228,     +64.42377,     213.72082,      +64.42719,  3725531.83, -1423371.35,  5084059.57,      52.071614,       -3.831297,   96746.86,  176271.36,    5443.03,             7332.92,   -34.33,  47667.50,           45786.25,    -14.28,      4.29,          17.44,  +1.17,  -0.06
  4,     UK001Z,       0,  0.194982, 2459522.332301955670, 214.52314,  64.05674,              334.99864,  32.51528,       334.99679,       32.52600,    214.52314,     +64.05674,     214.54167,      +64.06429,  3725766.53, -1424524.87,  5082457.76,      52.058490,       -3.845738,   95871.39,  175029.58,    7430.87,             9320.76,    17.75,  49830.40,           46875.95,    -31.72,      9.52,          39.02,  +1.68,  +0.46
  5,     UK001Z,       0,  0.234894, 2459522.332302417606, 215.20400,  63.72336,              334.47591,  32.43493,       334.47141,       32.46020,    215.20400,     +63.72336,     215.24679,      +63.74097,  3725970.28, -1425526.25,  5081067.22,      52.047091,       -3.858294,   95111.77,  173963.47,    9156.51,            11046.41,  -193.34,  43236.34,           46667.14,    -74.33,     22.28,          92.00,  +2.73,  +1.53

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.