Orbital Analysis for matched events on 20210929_043302.426_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 120.71° Bg 19.23° Vg 64.95km/s
mass 0.00958g, abs. mag -0.5
Path Details
------------
start -0.72° 54.55° 109.21km
end   -0.81° 54.55° 101.43km

Orbit Details
-------------
Semimajor axis 174.02A.U., eccentricity 1.00, inclination 140.52°, Period 2295.56Y, LA Sun 185.96°, last Perihelion 2021-08-22

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: 2459486.689611416310
Time: 2021-09-29 04:33:02.426369 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002X and UK004B
 Convergence angle = 8.14308 deg
 R.A. = 128.42462  Dec = +38.63355 deg

Best intersection: Stations UK002X and UK004B with Qconv = 8.14 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    931359.23 +/- 53.53 m
 Y =   3654124.62 +/- 81.03 m
 Z =   5261430.95 +/- 218.35 m
 Vx =   -31773.61 +/- 2490.80 m/s
 Vy =    40336.80 +/- 4909.50 m/s
 Vz =    41286.24 +/- 5656.93 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.380990e+01, +3.330423e+01, +5.855405e+02, +4.470826e+01, +1.645484e+03, -4.614799e+03
+3.330423e+01, +2.018003e+02, -5.338770e+02, +2.682277e+03, -8.201323e+02, -4.662770e+03
+5.855405e+02, -5.338770e+02, +1.096218e+04, -4.867337e+03, +9.525103e+03, -3.750176e+04
+4.470826e+01, +2.682277e+03, -4.867337e+03, +5.104865e+04, -4.276100e+04, -7.269545e+04
+1.645484e+03, -8.201323e+02, +9.525103e+03, -4.276100e+04, +8.585019e+04, -5.697428e+04
-4.614799e+03, -4.662770e+03, -3.750176e+04, -7.269545e+04, -5.697428e+04, +1.547064e+06

Timing offsets (from input data):
    UK0026: 0.000000 s
    UK002X: -0.006348 s
    UK004B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 04:33:02.426369 UTC
  Lon     = +-0.721245 +/- 0.0010 deg
  Lat     = +54.549205 +/- 0.0015 deg
  Lat geo = +54.370245 +/- 0.0015 deg
  Ht      =  109196.92 +/- 151.43 m

  JD dynamic   = 2459486.690412157215 
  LST apparent = 75.7009638026 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 128.22778 +/- 0.1643 deg
  Dec       = +38.80092 +/- 1.6882 deg
  Azimuth   =  92.11091 +/- 1.9084 deg
  Elevation = +51.76238 +/- 1.1531 deg
  Vavg      =  64.97559 +/- 3.4903 km/s
  Vinit     =  65.88758 +/- 6.4990 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 128.41366 +/- 0.1643 deg
  Dec       = +38.68217 +/- 1.6882 deg
  Azimuth   =  92.09678 +/- 1.9084 deg
  Elevation = +51.57517 +/- 1.1531 deg
  Vavg      =  65.14602 +/- 3.4903 km/s
  Vinit     =  66.05801 +/- 6.4990 km/s
Radiant (geocentric, J2000):
  R.A.   = 128.14642 +/- 0.1801 deg
  Dec    = +38.68574 +/- 1.6736 deg
  Vg     =  64.94631 +/- 6.5670 km/s
  Vinf   =  65.88758 +/- 6.4990 km/s
  Zc     =  38.23139 +/- 1.1472 deg
  Zg     =  38.51712 +/- 1.1202 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 120.70569 +/- 0.3757 deg
  Bg     = +19.22665 +/- 1.6407 deg
  Vh     =  42.02368 +/- 6.1534 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 140.08864 +/- 1.7335 deg
  Bh     = +30.59631 +/- 3.2404 deg
  Vh_x   =  27.74601 +/- 3.9235 km/s
  Vh_y   = -23.20861 +/- 5.6103 km/s
  Vh_z   = -21.38946 +/- 0.9050 km/s
Orbit:
  La Sun = 185.962332 +/- 0.0000 deg
  a      = 174.017141 +/- 33.3448 AU
  e      =   0.996314 +/- 0.5734
  i      = 140.519711 +/- 4.4301 deg
  peri   = 106.203393 +/- 8.4054 deg
  node   = 185.963514 +/- 0.0002 deg
  Pi     = 292.166907 +/- 8.4052 deg
  q      =   0.641344 +/- 0.0405 AU
  f      =  73.795508 +/- 8.4056 deg
  M      =   0.016170 +/- nan deg
  Q      = 347.392939 +/- 66.6958 AU
  n      =   0.000429 +/- 1.2980 deg/day
  T      = 2295.560173 +/- 377739484.2237 years
  Last perihelion JD = 2459449.028278 (2021-08-22 12:40:43.180512) +/- 1.6717 days
  Tj     =  -0.735759 +/- 4.0731
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.149039e-03, +1.219300e-03, +7.031313e-02, +2.537873e-08, +3.571406e-03, -7.919179e-04
q   , +1.219300e-03, +7.319577e-04, +4.063488e-02, +1.577636e-08, +2.115159e-03, -4.934917e-04
Tp  , +7.031313e-02, +4.063488e-02, +2.314289e+00, +8.546251e-07, +1.185008e-01, -2.668858e-02
node, +2.537873e-08, +1.577636e-08, +8.546251e-07, +4.332256e-13, +4.485458e-08, -1.360755e-08
peri, +3.571406e-03, +2.115159e-03, +1.185008e-01, +4.485458e-08, +6.133788e-03, -1.402036e-03
i   , -7.919179e-04, -4.934917e-04, -2.668858e-02, -1.360755e-08, -1.402036e-03, +4.274657e-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: UK004B
  Avg. res. = 3.346e-05 s
  Stddev    = 5.78e-03 s

Begin point on the trajectory:
  Lon =    -0.721034 +/- 0.0009 deg
  Lat =    54.549200 +/- 0.0015 deg
  Ht  = 109214.53 +/- 145.62 m
End point on the trajectory:
  Lon =    -0.814995 +/- 0.0065 deg
  Lat =    54.551163 +/- 0.0015 deg
  Ht  = 101430.70 +/- 323.53 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
    UK0026,    True,    -0.023645,    52.984073,    6.00, 115982.409140,   0.052386,   108115.78,   102326.92,          0.079829,       nan,       nan,              77.46, 0.0000,    True,    True, {"ff_name": "FF_UK0026_20210929_043256_868_0922368.fits"}
    UK002X,   False,    -3.059440,    54.994170,   18.00,  73.893922,   0.000000,   107958.77,   101430.70,          0.012480,     38.61,     13.59,              18.22, 1.0000,    True,    True, {"ff_name": "FF_UK002X_20210929_043259_322_0531712.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,   0.000000,   0.000000,   109214.53,   101458.27,          0.006600,     15.96,      8.49,              66.32, 1.0000,    True,    True, {"ff_name": "FF_UK004B_20210929_043302_716_0920064.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,     UK0026,       1,  1.982028, 2459486.689634356648, 287.40273,  64.43277,              345.15055,  29.84011,       345.07506,       29.89044,    287.40273,     +64.43277,     287.59449,      +64.45628,   932011.55,  3653296.50,  5260583.33,      54.549477,       -0.742240,  108115.78,  211753.58,       0.00,             1352.69, -128923.02,      0.00,           59131.54,   -169.63,    253.69,         297.25,  +5.05,  +3.42
  1,     UK0026,       1,  2.022480, 2459486.689634824637, 287.90017,  63.64296,              344.59126,  29.18109,       344.50099,       29.24105,    287.90017,     +63.64296,     288.12303,      +63.67038,   933510.50,  3651393.57,  5258635.61,      54.550097,       -0.771641,  105674.05,  210997.66,    3108.32,             4461.01, -128479.99,  76839.71,           59131.54,   -202.77,    303.09,         356.47,  +3.47,  +1.85
  2,     UK0026,       1,  2.062712, 2459486.689635290299, 288.21988,  63.20480,              344.25775,  28.82421,       344.18057,       28.87537,    288.21988,     +63.20480,     288.40952,      +63.22790,   934347.11,  3650331.48,  5257548.52,      54.550440,       -0.788134,  104311.14,  210595.63,    4843.17,             6195.86, -129395.93,  43121.06,           59131.54,   -173.21,    259.06,         305.21,  +1.57,  -0.05
  3,     UK0026,       1,  2.103044, 2459486.689635756891, 288.71605,  62.56928,              343.75457,  28.31459,       343.71732,       28.33920,    288.71605,     +62.56928,     288.81064,      +62.58019,   935565.52,  3648784.71,  5255965.34,      54.550935,       -0.812091,  102326.92,  210033.51,    7369.72,             8722.41, -129526.76,  62643.90,           59131.54,    -83.43,    125.00,         147.58,  +2.43,  +0.82
  0,     UK002X,       0,  0.036496, 2459486.689611914102, 130.17721,  18.01155,              107.37146,  33.49591,       107.36700,       33.49368,    130.17721,     +18.01155,     130.18193,      +18.01188,   932119.43,  3653159.54,  5260443.15,      54.549521,       -0.736242,  107958.77,  192014.87,       0.00,             1576.40,  -512.93,      0.00,           69223.58,      4.84,    -13.70,          15.60,  +3.31,  +1.89
  1,     UK002X,       0,  0.076792, 2459486.689612380229, 130.22818,  17.67337,              107.55665,  33.19130,       107.57795,       33.20188,    130.22818,     +17.67337,     130.20684,      +17.67181,   933647.14,  3651220.11,  5258458.07,      54.550152,       -0.766205,  105471.02,  189049.31,    3167.94,             4744.34,     0.00,  78616.76,           69223.58,    -22.70,     64.52,          74.62,  +1.73,  +0.35
  2,     UK002X,       0,  0.117064, 2459486.689612846356, 130.23630,  17.34856,              107.77121,  32.92070,       107.77759,       32.92387,    130.23630,     +17.34856,     130.23032,      +17.34809,   935058.49,  3649428.38,  5256624.17,      54.550729,       -0.793919,  103173.24,  186315.08,    6094.61,             7671.01,   273.25,  72672.52,           69223.58,     -6.73,     19.08,          22.40,  +1.59,  +0.24
  3,     UK002X,       0,  0.157280, 2459486.689613312017, 130.25955,  17.09722,              107.92050,  32.70179,       107.93243,       32.70771,    130.25955,     +17.09722,     130.24807,      +17.09635,   936129.00,  3648069.36,  5255233.16,      54.551163,       -0.814995,  101430.70,  184243.17,    8314.48,             9890.88,  -156.62,  55198.65,           69223.58,    -12.46,     35.34,          41.95,  +2.18,  +0.85
  0,     UK004B,       0,  0.000000, 2459486.689611416310, 294.65724,  77.04159,              349.00091,  42.81558,       349.00343,       42.81390,    294.65724,     +77.04159,     294.64637,      +77.04108,   931348.42,  3654138.35,  5261445.00,      54.549200,       -0.721034,  109214.53,  159103.26,       0.00,               22.42,   337.71,      0.00,           63002.90,      3.25,     -6.11,           8.97,  +4.85,  +3.84
  1,     UK004B,       0,  0.040428, 2459486.689611884300, 295.44659,  76.18997,              348.20139,  42.17441,       348.21266,       42.16699,    295.44659,     +76.18997,     295.40080,      +76.18783,   932633.69,  3652506.69,  5259774.93,      54.549734,       -0.746258,  107121.29,  157948.30,    2665.21,             2642.79,   294.38,  65924.87,           63002.90,     14.47,    -27.21,          40.24,  +2.15,  +1.16
  2,     UK004B,       0,  0.080824, 2459486.689612351824, 296.01234,  75.42522,              347.51751,  41.58719,       347.52027,       41.58539,    296.01234,     +75.42522,     296.00196,      +75.42472,   933764.70,  3651070.86,  5258305.31,      54.550200,       -0.768488,  105279.60,  156962.77,    5010.54,             4988.12,   -21.89,  58058.45,           63002.90,      3.53,     -6.64,           9.88,  +1.22,  +0.24
  3,     UK004B,       0,  0.121276, 2459486.689612819813, 296.61478,  74.53363,              346.73318,  40.90054,       346.72991,       40.90266,    296.61478,     +74.53363,     296.62731,      +74.53419,   935065.17,  3649419.91,  5256615.50,      54.550732,       -0.794040,  103162.37,  155865.46,    7707.27,             7684.85,     9.56,  66664.86,           63002.90,     -4.16,      7.82,          11.72,  +1.12,  +0.16
  4,     UK004B,       0,  0.161636, 2459486.689613286871, 297.11807,  73.80796,              346.08838,  40.34743,       346.09667,       40.34209,    297.11807,     +73.80796,     297.08947,      +73.80661,   936112.06,  3648090.88,  5255255.18,      54.551156,       -0.814655,  101458.27,  155011.11,    9878.16,             9855.74,  -478.78,  53788.17,           61364.49,     10.51,    -19.77,          29.79,  +1.76,  +0.81

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.