Orbital Analysis for matched events on 20210816_022201.090_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 71.17° Bg 35.99° Vg 58.84km/s
mass 0.00300g, abs. mag 1.3
Path Details
------------
start -0.33° 50.64° 106.67km
end   -0.39° 50.62° 99.19km

Orbit Details
-------------
Semimajor axis 9.05A.U., eccentricity 0.90, inclination 114.66°, Period 27.22Y, LA Sun 143.16°, last Perihelion 2021-07-17

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: 2459442.598623727448
Time: 2021-08-16 02:22:01.090052 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK0038
 Convergence angle = 18.25051 deg
 R.A. =  62.64758  Dec = +58.42984 deg

Best intersection: Stations UK002B and UK0038 with Qconv = 18.25 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4120538.12 +/- 337.61 m
 Y =     -8422.01 +/- 314.19 m
 Z =   4990922.08 +/- 282.60 m
 Vx =    15641.93 +/- 3107.70 m/s
 Vy =    27932.32 +/- 2879.68 m/s
 Vz =    50599.17 +/- 4822.81 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.961752e+04, +4.558189e+04, +3.990455e+04, +2.639816e+05, +2.503631e+05, +2.342748e+05
+4.558189e+04, +4.225562e+04, +3.685011e+04, +2.435485e+05, +2.330317e+05, +2.169875e+05
+3.990455e+04, +3.685011e+04, +3.232528e+04, +2.182098e+05, +2.064211e+05, +1.935906e+05
+2.639816e+05, +2.435485e+05, +2.182098e+05, +2.296842e+06, +2.101501e+06, +1.986039e+06
+2.503631e+05, +2.330317e+05, +2.064211e+05, +2.101501e+06, +1.955439e+06, +1.823313e+06
+2.342748e+05, +2.169875e+05, +1.935906e+05, +1.986039e+06, +1.823313e+06, +1.725893e+06

Timing offsets (from input data):
    UK002B: 0.000000 s
    UK0038: 0.002677 s

Reference point on the trajectory:
  Time: 2021-08-16 02:22:01.090052 UTC
  Lon     = +-0.325844 +/- 0.0044 deg
  Lat     = +50.642350 +/- 0.0007 deg
  Lat geo = +50.456637 +/- 0.0007 deg
  Ht      =  106669.75 +/- 432.00 m

  JD dynamic   = 2459442.599424468353 
  LST apparent = 359.8828927972 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  60.75143 +/- 2.2844 deg
  Dec       = +57.67868 +/- 1.9110 deg
  Azimuth   =  54.37659 +/- 3.8065 deg
  Elevation = +54.93155 +/- 0.6777 deg
  Vavg      =  57.51884 +/- 3.1109 km/s
  Vinit     =  59.87621 +/- 4.4212 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  61.01110 +/- 2.2844 deg
  Dec       = +57.46667 +/- 1.9110 deg
  Azimuth   =  54.66601 +/- 3.8065 deg
  Elevation = +54.74036 +/- 0.6777 deg
  Vavg      =  57.65976 +/- 3.1109 km/s
  Vinit     =  60.01713 +/- 4.4212 km/s
Radiant (geocentric, J2000):
  R.A.   =  60.88041 +/- 2.3909 deg
  Dec    = +57.53634 +/- 1.9073 deg
  Vg     =  58.83867 +/- 4.4954 km/s
  Vinf   =  59.87621 +/- 4.4212 km/s
  Zc     =  35.17690 +/- 0.6876 deg
  Zg     =  35.49438 +/- 0.7381 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  71.16654 +/- 2.1170 deg
  Bg     = +35.98720 +/- 1.5373 deg
  Vh     =  40.66994 +/- 3.0429 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  95.34431 +/- 8.8301 deg
  Bh     = +58.22369 +/- 3.0938 deg
  Vh_x   =   1.99479 +/- 3.2612 km/s
  Vh_y   = -21.32386 +/- 3.7166 km/s
  Vh_z   = -34.57394 +/- 1.2874 km/s
Orbit:
  La Sun = 143.164989 +/- -0.0000 deg
  a      =   9.048447 +/- 23.5309 AU
  e      =   0.902832 +/- 0.2600
  i      = 114.657249 +/- 5.6071 deg
  peri   = 136.240020 +/- 9.8180 deg
  node   = 143.165050 +/- 0.0004 deg
  Pi     = 279.405070 +/- 9.8176 deg
  q      =   0.879220 +/- 0.0399 AU
  f      =  43.756467 +/- 9.8182 deg
  M      =   1.058648 +/- nan deg
  Q      =  17.217673 +/- 47.0662 AU
  n      =   0.036211 +/- 0.1296 deg/day
  T      =  27.218343 +/- 442216616.2927 years
  Last perihelion JD = 2459413.364068 (2021-07-17 20:44:15.447046) +/- 4.5294 days
  Tj     =   0.102079 +/- 1.6573
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.564208e-03, +2.420893e-03, +4.050220e-01, -3.345214e-07, +1.015723e-02, +5.170163e-03
q   , +2.420893e-03, +6.209026e-04, +1.036170e-01, -8.551818e-08, +2.603550e-03, +1.324057e-03
Tp  , +4.050220e-01, +1.036170e-01, +1.731550e+01, -1.432115e-05, +4.348549e-01, +2.217621e-01
node, -3.345214e-07, -8.551818e-08, -1.432115e-05, +1.194350e-11, -3.594996e-07, -1.851038e-07
peri, +1.015723e-02, +2.603550e-03, +4.348549e-01, -3.594996e-07, +1.092418e-02, +5.567844e-03
i   , +5.170163e-03, +1.324057e-03, +2.217621e-01, -1.851038e-07, +5.567844e-03, +2.870227e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.027514
 a2 = 61.361394

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 3.668e-06 s
  Stddev    = 1.92e-03 s

Begin point on the trajectory:
  Lon =    -0.325826 +/- 0.0044 deg
  Lat =    50.642358 +/- 0.0007 deg
  Ht  = 106672.01 +/- 434.97 m
End point on the trajectory:
  Lon =    -0.385899 +/- 0.0031 deg
  Lat =    50.615262 +/- 0.0006 deg
  Ht  = 99191.30 +/- 312.20 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   106672.01,    99191.30,          0.008268,     10.75,     14.96,              29.92, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210816_022151_523_0569856.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   105278.25,    99537.34,          0.020970,     21.36,     67.90,              50.71, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210816_022156_118_0560896.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,     UK002B,       0,  0.000000, 2459442.598623727448,  41.28110,  32.34979,              104.28666,  53.96552,       104.28125,       53.95752,     41.28110,     +32.34979,      41.29057,      +32.34658,  4120538.84,    -8420.72,  4990924.42,      50.642358,       -0.325826,  106672.01,  131327.95,       0.00,                2.77,     0.36,      0.00,           60214.54,     16.03,     11.52,          31.00,  +2.18,  +1.59
  1,     UK002B,       0,  0.039980, 2459442.598624190316,  41.08093,  31.89416,              105.04337,  53.77249,       105.04821,       53.77946,     41.08093,     +31.89416,      41.07286,      +31.89695,  4119939.81,    -9490.43,  4988986.63,      50.635571,       -0.340887,  104795.32,  129312.48,    2293.07,             2290.30,  -105.96,  57355.37,           60214.54,    -13.81,     -9.91,          27.11,  +1.28,  +0.72
  2,     UK002B,       0,  0.079924, 2459442.598624652717,  40.81792,  31.39112,              105.91496,  53.58107,       105.90823,       53.57164,     40.81792,     +31.39112,      40.82941,      +31.38735,  4119283.45,   -10662.52,  4986863.41,      50.628127,       -0.357377,  102739.34,  127115.83,    4805.56,             4802.80,    14.84,  62900.46,           60214.54,     18.45,     13.26,          36.87,  +0.95,  +0.43
  3,     UK002B,       0,  0.119888, 2459442.598625115119,  40.58307,  30.89164,              106.74788,  53.37094,       106.74174,       53.36258,     40.58307,     +30.89164,      40.59346,      +30.88830,  4118662.30,   -11771.71,  4984854.11,      50.621076,       -0.372997,  100793.95,  125047.81,    7183.26,             7180.50,    -0.35,  59495.96,           60214.54,     16.17,     11.63,          32.86,  +0.79,  +0.30
  4,     UK002B,       0,  0.159860, 2459442.598625577521,  40.38840,  30.46631,              107.44673,  53.18565,       107.44347,       53.18131,     40.38840,     +30.46631,      40.39422,      +30.46457,  4118150.53,   -12685.60,  4983198.61,      50.615262,       -0.385899,   99191.30,  123351.28,    9142.28,             9139.52,  -434.70,  49009.91,           57990.64,      8.33,      5.99,          17.16,  +1.58,  +1.12
  0,     UK0038,       0,  0.031711, 2459442.598624053877,  47.06195,   8.95763,              118.52411,  31.62650,       118.53379,       31.63426,     47.06195,      +8.95763,      47.05076,       +8.95950,  4120093.96,    -9215.15,  4989485.31,      50.637318,       -0.337005,  105278.25,  196291.60,       0.00,             1700.20,  -200.92,      0.00,           58001.82,    -37.00,    -11.66,          40.76,  +3.06,  +1.60
  1,     UK0038,       0,  0.072219, 2459442.598624522798,  46.98336,   8.34255,              118.99885,  31.15732,       119.03221,       31.18393,     46.98336,      +8.34255,      46.94475,       +8.34898,  4119375.24,   -10498.60,  4987160.35,      50.629168,       -0.355047,  103026.86,  194520.36,    2751.22,             4451.42,   124.84,  67918.02,           58001.82,   -126.39,    -39.75,         140.50,  +1.87,  +0.43
  2,     UK0038,       0,  0.112647, 2459442.598624990787,  46.84840,   7.80785,              119.47216,  30.78441,       119.47057,       30.78315,     46.84840,      +7.80785,      46.85071,       +7.80754,  4118748.52,   -11617.76,  4985133.00,      50.622055,       -0.370807,  101063.96,  192993.61,    5150.27,             6850.47,   103.21,  59341.23,           58001.82,      5.98,      1.89,           6.70,  +1.92,  +0.49
  3,     UK0038,       0,  0.152999, 2459442.598625457846,  46.78572,   7.37885,              119.80552,  30.45944,       119.81423,       30.46635,     46.78572,      +7.37885,      46.77620,       +7.38053,  4118261.04,   -12488.27,  4983556.08,      50.616518,       -0.383106,   99537.34,  191816.55,    7016.31,             8716.51,  -446.87,  46244.09,           58001.82,    -32.59,    -10.28,          36.74,  +3.08,  +1.67

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.