Orbital Analysis for matched events on 20211015_041408.946_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 104.02° Bg 18.01° Vg 62.04km/s
mass 0.03500g, abs. mag -1.3
best visual mag -0.2
Path Details
------------
start -2.09° 55.35° 99.46km
end   -2.16° 55.38° 85.26km

Orbit Details
-------------
Semimajor axis 1.70A.U., eccentricity 0.47, inclination 146.15°, Period 2.21Y, LA Sun 201.74°, last Perihelion 2019-09-01

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: 2459502.676492437255
Time: 2021-10-15 04:14:08.987013 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000P and UK004B
 Convergence angle = 59.06500 deg
 R.A. = 108.13827  Dec = +40.85727 deg

Best intersection: Stations UK000P and UK004B with Qconv = 59.07 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    297745.16 +/- 39.72 m
 Y =   3680793.89 +/- 32.88 m
 Z =   5307007.06 +/- 72.93 m
 Vx =   -14692.64 +/- 98.76 m/s
 Vy =    45475.61 +/- 413.30 m/s
 Vz =    41084.02 +/- 408.43 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.716702e+03, -6.446089e+02, -2.254549e+03, +8.716171e+03, -3.943951e+03, -9.548159e+03
-6.446089e+02, +1.147168e+03, +1.298563e+03, -1.547059e+03, +6.287356e+02, +7.488691e+02
-2.254549e+03, +1.298563e+03, +5.819076e+03, -8.195564e+03, +5.380567e+03, +2.683722e+04
+8.716171e+03, -1.547059e+03, -8.195564e+03, +5.424113e+04, -2.251661e+04, -4.125918e+04
-3.943951e+03, +6.287356e+02, +5.380567e+03, -2.251661e+04, +1.048558e+04, +2.928641e+04
-9.548159e+03, +7.488691e+02, +2.683722e+04, -4.125918e+04, +2.928641e+04, +1.669735e+05

Timing offsets (from input data):
    UK000P: 0.000000 s
    UK004B: -0.000864 s

Reference point on the trajectory:
  Time: 2021-10-15 04:14:08.987013 UTC
  Lon     = +-2.081558 +/- 0.0006 deg
  Lat     = +55.345730 +/- 0.0003 deg
  Lat geo = +55.168339 +/- 0.0003 deg
  Ht      =  101629.75 +/- 69.96 m

  JD dynamic   = 2459502.677293646149 
  LST apparent = 85.3753245873 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 107.90504 +/- 0.2206 deg
  Dec       = +40.68480 +/- 0.2228 deg
  Azimuth   = 125.26945 +/- 0.5463 deg
  Elevation = +69.15274 +/- 0.1992 deg
  Vavg      =  59.31984 +/- 0.1631 km/s
  Vinit     =  63.02223 +/- 0.3434 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 108.20260 +/- 0.2206 deg
  Dec       = +40.62334 +/- 0.2228 deg
  Azimuth   = 124.87609 +/- 0.5463 deg
  Elevation = +68.96573 +/- 0.1992 deg
  Vavg      =  59.39861 +/- 0.1631 km/s
  Vinit     =  63.10100 +/- 0.3434 km/s
Radiant (geocentric, J2000):
  R.A.   = 107.66148 +/- 0.2211 deg
  Dec    = +40.59188 +/- 0.2257 deg
  Vg     =  62.03630 +/- 0.3487 km/s
  Vinf   =  63.02223 +/- 0.3434 km/s
  Zc     =  20.74531 +/- 0.1988 deg
  Zg     =  20.91067 +/- 0.2010 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 104.01967 +/- 0.1759 deg
  Bg     = +18.00985 +/- 0.2256 deg
  Vh     =  35.45461 +/- 0.3819 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  95.32677 +/- 0.3893 deg
  Bh     = +32.75255 +/- 0.2621 deg
  Vh_x   =   2.76816 +/- 0.2235 km/s
  Vh_y   = -29.68909 +/- 0.2345 km/s
  Vh_z   = -19.18137 +/- 0.3337 km/s
Orbit:
  La Sun = 201.736649 +/- 0.0000 deg
  a      =   1.698849 +/- 0.1150 AU
  e      =   0.466272 +/- 0.0260
  i      = 146.153934 +/- 0.2750 deg
  peri   = 224.384336 +/- 2.1560 deg
  node   = 201.738197 +/- 0.0000 deg
  Pi     =  66.122533 +/- 2.1560 deg
  q      =   0.906723 +/- 0.0058 AU
  f      = 315.615227 +/- 2.1560 deg
  M      = 344.745681 +/- 1.6704 deg
  Q      =   2.490974 +/- 0.2249 AU
  n      =   0.445115 +/- 0.0334 deg/day
  T      =   2.214281 +/- 0.2397 years
  Last perihelion JD = 2458728.167510 (2019-09-01 16:01:12.869678) +/- 89.2114 days
  Tj     =   2.223844 +/- 0.1701
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +7.363039e-04, +1.397741e-04, -2.503872e+00, +7.803483e-08, -5.646123e-02, -5.866223e-03
q   , +1.397741e-04, +3.671361e-05, -4.860715e-01, +7.108764e-09, -1.346003e-02, -5.286147e-04
Tp  , -2.503872e+00, -4.860715e-01, +8.593529e+03, -2.538241e-04, +1.945260e+02, +1.908125e+01
node, +7.803483e-08, +7.108764e-09, -2.538241e-04, +1.430610e-11, -3.927351e-06, -1.079378e-06
peri, -5.646123e-02, -1.346003e-02, +1.945260e+02, -3.927351e-06, +5.070144e+00, +2.936464e-01
i   , -5.866223e-03, -5.286147e-04, +1.908125e+01, -1.079378e-06, +2.936464e-01, +8.144253e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000002
 a2 = 66.736267

Mean time residuals from time vs. length:
  Station with reference time: UK000P
  Avg. res. = 4.776e-06 s
  Stddev    = 2.19e-03 s

Begin point on the trajectory:
  Lon =    -2.092011 +/- 0.0006 deg
  Lat =    55.349942 +/- 0.0002 deg
  Ht  = 99463.90 +/- 61.77 m
End point on the trajectory:
  Lon =    -2.161846 +/- 0.0004 deg
  Lat =    55.377612 +/- 0.0002 deg
  Ht  = 85261.23 +/- 13.59 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
    UK000P,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,    99463.90,    85560.00,          0.016609,      3.34,     32.59,              32.28, 1.0000,    True,    True, {"ff_name": "FF_UK000P_20211015_041408_283_0933632.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,   0.000000,   0.000000,    93925.19,    85261.23,          0.009841,     39.18,     18.33,              83.91, 1.0000,    True,    True, {"ff_name": "FF_UK004B_20211015_041407_407_0946944.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,     UK000P,       1,  0.000000, 2459502.676492437255, 152.67042,  57.41992,               57.38309,  53.56694,        57.46182,       53.53156,    152.67042,     +57.41992,     152.69095,      +57.36233,   297753.47,  3680768.17,  5306983.83,      55.345795,       -2.081550,  101596.45,  125774.43,       0.00,               35.64,   266.62,      0.00,           62310.95,    128.05,    -13.37,         211.13,  +4.67,  +4.17
  1,     UK000P,       0,  0.040440, 2459502.676492905244, 153.73524,  57.47160,               56.87855,  53.07689,        56.88179,       53.07545,    153.73524,     +57.47160,     153.73618,      +57.46921,   298285.47,  3679121.56,  5305496.23,      55.349942,       -2.092011,   99463.90,  123860.12,    2281.95,             2317.59,    -0.05,  56428.13,           62310.95,      5.21,     -0.54,           8.73,  +2.83,  +2.37
  2,     UK000P,       0,  0.080920, 2459502.676493373699, 154.93459,  57.58039,               56.23549,  52.55207,        56.23599,       52.55185,    154.93459,     +57.58039,     154.93503,      +57.58002,   298872.51,  3677304.58,  5303854.72,      55.354520,       -2.103547,   97110.83,  121763.15,    4800.00,             4835.64,   -33.14,  62204.60,           62310.95,      0.80,     -0.08,           1.37,  +1.60,  +1.17
  3,     UK000P,       0,  0.121460, 2459502.676493843086, 156.30778,  57.70168,               55.50581,  51.95596,        55.51869,       51.95029,    156.30778,     +57.70168,     156.31075,      +57.69201,   299518.18,  3675306.15,  5302049.28,      55.359558,       -2.116231,   94522.88,  119476.22,    7569.52,             7605.16,   181.46,  68315.94,           62310.95,     20.24,     -2.09,          35.13,  +1.06,  +0.67
  4,     UK000P,       0,  0.161944, 2459502.676494311541, 157.53526,  57.79625,               54.87451,  51.42227,        54.89659,       51.41261,    157.53526,     +57.79625,     157.53963,      +57.77955,   300072.04,  3673591.87,  5300500.55,      55.363882,       -2.127146,   92303.02,  117530.36,    9945.24,             9980.88,     5.79,  58682.92,           62182.89,     34.32,     -3.55,          60.55,  +0.69,  +0.34
  5,     UK000P,       0,  0.202488, 2459502.676494780928, 158.90884,  57.86087,               54.22578,  50.81134,        54.22382,       50.81219,    158.90884,     +57.86087,     158.90941,      +57.86237,   300665.76,  3671754.25,  5298840.38,      55.368519,       -2.138845,   89923.53,  115462.88,   12491.92,            12527.56,    -2.71,  62812.55,           62236.39,     -3.02,      0.31,           5.43,  +0.23,  -0.08
  6,     UK000P,       0,  0.243060, 2459502.676495250314, 160.35594,  57.93219,               53.53617,  50.17568,        53.53456,       50.17637,    160.35594,     +57.93219,     160.35678,      +57.93343,   301268.37,  3669889.08,  5297155.34,      55.373228,       -2.150729,   87508.50,  113384.59,   15076.75,            15112.39,    25.18,  63709.76,           62413.65,     -2.46,      0.25,           4.50,  -0.16,  -0.43
  7,     UK000P,       0,  0.283552, 2459502.676495719235, 161.57017,  57.94174,               53.02331,  49.62211,        52.97275,       49.64381,    161.57017,     +57.94174,     161.56715,      +57.98096,   301754.59,  3668384.17,  5295795.76,      55.377029,       -2.160358,   85560.00,  111722.14,   17162.32,            17197.96,  -441.14,  51505.85,           61578.82,    -76.20,      7.80,         141.41,  +0.73,  +0.49
  0,     UK004B,       0,  0.130088, 2459502.676493952982, 311.61876,  50.80873,              331.68764,  20.83484,       331.67254,       20.83699,    311.61876,     +50.80873,     311.64081,      +50.80436,   299667.31,  3674844.59,  5301632.29,      55.360722,       -2.119163,   93925.19,  251922.85,       0.00,             8244.81,   277.35,      0.00,           61395.82,    -26.61,     56.85,          51.39,  +2.99,  +0.98
  1,     UK004B,       0,  0.170420, 2459502.676494419575, 311.39186,  50.35397,              331.60959,  20.36342,       331.59352,       20.36572,    311.39186,     +50.35397,     311.41534,      +50.34935,   300156.32,  3673331.03,  5300264.90,      55.364540,       -2.128821,   91965.25,  251796.97,    2097.56,            10342.37,  -166.90,  52007.35,           61395.82,    -28.39,     60.67,          54.87,  +0.72,  -1.29
  2,     UK004B,       0,  0.210828, 2459502.676494887099, 311.13253,  49.78205,              331.50011,  19.77672,       331.49608,       19.77730,    311.13253,     +49.78205,     311.13909,      +49.78090,   300766.33,  3671442.98,  5298559.18,      55.369304,       -2.140838,   89520.49,  251663.20,    4714.11,            12958.92,   -96.96,  64753.18,           61395.82,     -7.14,     15.27,          13.81,  +0.21,  -1.79
  3,     UK004B,       0,  0.251248, 2459502.676495355088, 310.86070,  49.19781,              331.39757,  19.17409,       331.39701,       19.17417,    310.86070,     +49.19781,     310.86254,      +49.19766,   301390.93,  3669509.76,  5296812.64,      55.374186,       -2.153150,   87017.36,  251554.31,    7393.26,            15638.08,    34.84,  66282.94,           61395.82,     -1.00,      2.13,           1.93,  -0.08,  -2.08
  4,     UK004B,       0,  0.291548, 2459502.676495821681, 310.66351,  48.78910,              331.33324,  18.74972,       331.32722,       18.75058,    310.66351,     +48.78910,     310.67308,      +48.78741,   301829.15,  3668153.42,  5295587.29,      55.377612,       -2.161846,   85261.23,  251496.44,    9272.94,            17517.75,  -625.28,  46642.11,           59052.33,    -10.70,     22.89,          20.72,  +1.84,  -0.16

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.