Orbital Analysis for matched events on 20210929_190357.903_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 105.36° Bg 34.01° Vg 61.71km/s
mass 0.00293g, abs. mag 1.7
Path Details
------------
start -1.92° 51.80° 108.87km
end   -1.92° 51.66° 103.30km

Orbit Details
-------------
Semimajor axis 9.60A.U., eccentricity 0.90, inclination 121.09°, Period 29.75Y, LA Sun 186.56°, last Perihelion 2021-09-14

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: 2459487.294420180842
Time: 2021-09-29 19:03:57.903625 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK000S
 Convergence angle = 14.04239 deg
 R.A. = 113.76095  Dec = +58.38780 deg

Best intersection: Stations UK0006 and UK000S with Qconv = 14.04 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1559191.97 +/- 80.42 m
 Y =  -3704688.44 +/- 45.91 m
 Z =   5074977.90 +/- 444.40 m
 Vx =   -13800.70 +/- 4370.32 m/s
 Vy =    31410.27 +/- 11078.77 m/s
 Vz =    52480.52 +/- 17568.44 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.846167e+02, +1.868283e+02, +3.014057e+03, +3.898191e+03, -1.793114e+03, +7.828980e+03
+1.868283e+02, +6.322074e+01, +1.063551e+03, +1.452440e+03, -5.669839e+02, +2.061430e+03
+3.014057e+03, +1.063551e+03, +1.840323e+04, +2.599683e+04, -9.071955e+03, +2.778976e+04
+3.898191e+03, +1.452440e+03, +2.599683e+04, +3.814457e+04, -1.160076e+04, +2.630373e+04
-1.793114e+03, -5.669839e+02, -9.071955e+03, -1.160076e+04, +5.510179e+03, -2.477072e+04
+7.828980e+03, +2.061430e+03, +2.778976e+04, +2.630373e+04, -2.477072e+04, +1.600439e+05

Timing offsets (from input data):
    UK0006: 0.001967 s
    UK000S: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 19:03:57.903625 UTC
  Lon     = +-1.924738 +/- 0.0009 deg
  Lat     = +51.804485 +/- 0.0027 deg
  Lat geo = +51.620465 +/- 0.0027 deg
  Ht      =  108866.44 +/- 288.43 m

  JD dynamic   = 2459487.295220921747 
  LST apparent = 292.8247619887 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 113.71920 +/- 0.6258 deg
  Dec       = +56.82593 +/- 0.8321 deg
  Azimuth   = 359.48352 +/- 0.3324 deg
  Elevation = +18.63291 +/- 0.8406 deg
  Vavg      =  62.88666 +/- 1.0430 km/s
  Vinit     =  62.69983 +/- 20.4171 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 113.22972 +/- 0.6258 deg
  Dec       = +56.82847 +/- 0.8321 deg
  Azimuth   = 359.76618 +/- 0.3324 deg
  Elevation = +18.63347 +/- 0.8406 deg
  Vavg      =  62.88484 +/- 1.0430 km/s
  Vinit     =  62.69801 +/- 20.4171 km/s
Radiant (geocentric, J2000):
  R.A.   = 113.26271 +/- 0.6145 deg
  Dec    = +56.21729 +/- 0.8807 deg
  Vg     =  61.71006 +/- 2.3477 km/s
  Vinf   =  62.69983 +/- 2.3150 km/s
  Zc     =  71.55110 +/- 0.8406 deg
  Zg     =  72.20802 +/- 0.8880 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 105.36327 +/- 0.2061 deg
  Bg     = +34.01356 +/- 0.9241 deg
  Vh     =  40.97536 +/- 2.5685 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 116.00306 +/- 0.3972 deg
  Bh     = +57.40600 +/- 0.2814 deg
  Vh_x   =   9.67710 +/- 0.4930 km/s
  Vh_y   = -19.83831 +/- 1.2197 km/s
  Vh_z   = -34.52210 +/- 2.2232 km/s
Orbit:
  La Sun = 186.556374 +/- -0.0000 deg
  a      =   9.600215 +/- 9.5641 AU
  e      =   0.899210 +/- 0.2591
  i      = 121.085678 +/- 0.2875 deg
  peri   = 158.164408 +/- 1.7924 deg
  node   = 186.554752 +/- 0.0000 deg
  Pi     = 344.719160 +/- 1.7924 deg
  q      =   0.967602 +/- 0.0031 AU
  f      =  21.833598 +/- 1.7924 deg
  M      =   0.518846 +/- nan deg
  Q      =  18.232828 +/- 19.1280 AU
  n      =   0.033135 +/- 0.2290 deg/day
  T      =  29.745555 +/- 304543454.9939 years
  Last perihelion JD = 2459471.636526 (2021-09-14 03:16:35.880939) +/- 0.5806 days
  Tj     =  -0.071526 +/- 1.4143
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.145644e-03, +5.586533e-05, +2.164740e-02, +3.725773e-09, +4.396790e-04, -9.201531e-05
q   , +5.586533e-05, +5.499069e-06, +1.691386e-03, +3.059233e-10, +3.771223e-05, -7.554789e-06
Tp  , +2.164740e-02, +1.691386e-03, +5.547092e-01, +9.886661e-08, +1.203619e-02, -2.441571e-03
node, +3.725773e-09, +3.059233e-10, +9.886661e-08, +1.767947e-14, +2.158450e-09, -4.366029e-10
peri, +4.396790e-04, +3.771223e-05, +1.203619e-02, +2.158450e-09, +2.641612e-04, -5.330373e-05
i   , -9.201531e-05, -7.554789e-06, -2.441571e-03, -4.366029e-10, -5.330373e-05, +1.078212e-05

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. = 1.733e-06 s
  Stddev    = 1.32e-03 s

Begin point on the trajectory:
  Lon =    -1.924741 +/- 0.0009 deg
  Lat =    51.804658 +/- 0.0026 deg
  Ht  = 108873.06 +/- 297.79 m
End point on the trajectory:
  Lon =    -1.923770 +/- 0.0008 deg
  Lat =    51.657808 +/- 0.0018 deg
  Ht  = 103295.46 +/- 229.37 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,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   106625.84,   103395.09,          0.016360,     19.86,     26.26,              74.76, 1.0000,   False,    True, {"ff_name": "FF_UK0006_20210929_190357_403_0064000.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   108873.06,   103295.46,          0.014512,     28.16,     22.46,              25.87, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210929_190355_939_0062976.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,       0,  0.111069, 2459487.294421445578, 264.27602,  39.80854,              250.50366,  66.59941,       250.50832,       66.59543,    264.27602,     +39.80854,     264.27098,      +39.80734,  1560737.89, -3708206.95,  5069099.16,      51.745655,       -1.924341,  106625.84,  115921.00,       0.00,             7023.48,    38.33,      0.00,           61984.12,      7.09,     -5.36,          15.81,  +1.54,  +1.22
  1,     UK0006,       0,  0.151669, 2459487.294421915431, 264.73332,  38.61890,              247.70792,  66.06861,       247.74110,       66.04271,    264.73332,     +38.61890,     264.69795,      +38.61106,  1561296.62, -3709478.60,  5066974.47,      51.724383,       -1.924202,  105817.69,  115521.34,    2538.43,             9561.91,    31.14,  62522.81,           61984.12,     46.93,    -35.52,         105.09,  +1.30,  +0.99
  2,     UK0006,       0,  0.192305, 2459487.294422385748, 265.10722,  37.42418,              245.11878,  65.44865,       245.11962,       65.44805,    265.10722,     +37.42418,     265.10716,      +37.42399,  1561846.81, -3710730.83,  5064882.24,      51.703431,       -1.924068,  105022.75,  115181.18,    5038.06,            12061.55,   -17.09,  61512.87,           61984.12,      1.12,     -0.85,           2.51,  +1.19,  +0.88
  3,     UK0006,       0,  0.232953, 2459487.294422856532, 265.48405,  36.21247,              242.60770,  64.78298,       242.58217,       64.80030,    265.48405,     +36.21247,     265.50948,      +36.21779,  1562402.18, -3711994.86,  5062770.29,      51.682275,       -1.923932,  104221.18,  114891.91,    7561.26,            14584.74,   -42.52,  62074.32,           61984.12,    -32.72,     24.71,          73.60,  +1.76,  +1.46
  4,     UK0006,       0,  0.273613, 2459487.294423326850, 265.90448,  34.96445,              240.09035,  64.07985,       240.08138,       64.08558,    265.90448,     +34.96445,     265.91380,      +34.96623,  1562975.17, -3713298.98,  5060591.35,      51.660443,       -1.923786,  103395.09,  114650.75,   10164.50,            17187.98,    11.35,  64024.66,           62385.86,    -11.09,      8.37,          25.00,  +3.53,  +3.23
  5,     UK0006,       1,  0.314185, 2459487.294423796702, 266.13224,  33.97053,              238.31921,  63.43951,       238.22254,       63.49887,    266.13224,     +33.97053,     266.21917,      +33.98914,  1563420.45, -3714312.42,  5058898.08,      51.643474,       -1.923711,  102753.75,  114504.82,   12187.49,            19210.97,  -509.52,  49861.69,           60714.37,   -117.16,     88.28,         264.25,  +5.88,  +5.59
  0,     UK000S,       0,  0.000000, 2459487.294420180842, 147.35031,  83.16345,              354.53804,  45.07622,       354.52262,       45.07423,    147.35031,     +83.16345,     147.42074,      +83.15623,  1559187.41, -3704678.06,  5074995.25,      51.804658,       -1.924741,  108873.06,  152475.50,       0.00,               20.73,    -0.45,      0.00,           62579.93,     18.34,    -23.03,          39.83,  +2.99,  +2.07
  1,     UK000S,       0,  0.039604, 2459487.294420639053, 150.25331,  83.49022,              354.37405,  45.53140,       354.39588,       45.53424,    150.25331,     +83.49022,     150.15400,      +83.50094,  1559767.96, -3705999.38,  5072787.57,      51.782571,       -1.924585,  108030.84,  150146.28,    2637.57,             2616.84,   112.50,  66598.47,           62579.93,    -25.42,     31.85,          55.99,  +2.56,  +1.68
  2,     UK000S,       0,  0.079240, 2459487.294421098195, 152.90607,  83.79521,              354.27327,  45.94888,       354.27880,       45.94960,    152.90607,     +83.79521,     152.88137,      +83.79803,  1560277.35, -3707158.75,  5070850.50,      51.763186,       -1.924470,  107292.63,  148111.16,    4951.84,             4931.11,   -58.39,  58388.22,           62579.93,     -6.30,      7.90,          14.07,  +2.22,  +1.37
  3,     UK000S,       0,  0.118832, 2459487.294421556406, 156.34960,  84.10693,              354.12921,  46.41661,       354.14506,       46.41867,    156.34960,     +84.10693,     156.27992,      +84.11541,  1560836.43, -3708431.23,  5068724.43,      51.741904,       -1.924326,  106483.24,  145886.97,    7491.91,             7471.18,    -0.74,  64156.09,           62579.93,    -17.66,     22.12,          40.03,  +2.08,  +1.26
  4,     UK000S,       0,  0.158436, 2459487.294422014616, 160.01320,  84.39429,              353.99728,  46.87371,       354.01212,       46.87564,    160.01320,     +84.39429,     159.95061,      +84.40257,  1561365.41, -3709635.17,  5066712.87,      51.721764,       -1.924200,  105718.25,  143792.24,    9895.17,             9874.44,   -80.64,  60682.27,           62218.25,    -16.18,     20.26,          37.20,  +2.04,  +1.25
  5,     UK000S,       0,  0.197980, 2459487.294422472361, 164.49605,  84.71323,              353.88242,  47.39944,       353.85855,       47.39634,    164.49605,     +84.71323,     164.59190,      +84.69930,  1561950.14, -3710966.03,  5064489.27,      51.699495,       -1.924042,  104873.54,  141488.02,   12551.76,            12531.04,    96.55,  67180.71,           62822.58,     25.33,    -31.77,          59.23,  +2.28,  +1.53
  6,     UK000S,       0,  0.237564, 2459487.294422930572, 169.37266,  84.93022,              353.69998,  47.87431,       353.71351,       47.87608,    169.37266,     +84.93022,     169.32553,      +84.93844,  1562472.83, -3712155.64,  5062501.65,      51.679584,       -1.923920,  104119.28,  139439.02,   14926.43,            14905.70,   -10.70,  59990.45,           62735.28,    -14.05,     17.58,          33.29,  +2.55,  +1.83
  7,     UK000S,       0,  0.277088, 2459487.294423387852, 175.05465,  85.18803,              353.58705,  48.42196,       353.54742,       48.41680,    175.05465,     +85.18803,     175.17349,      +85.16312,  1563044.33, -3713456.38,  5060328.37,      51.657808,       -1.923770,  103295.46,  137210.56,   17522.90,            17502.17,   107.62,  65693.51,           62944.93,     40.02,    -50.19,          96.50,  +4.15,  +3.46

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.