Orbital Analysis for matched events on 20210813_222651.620_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 71.29° Bg 40.16° Vg 54.66km/s
mass 0.00822g, abs. mag 0.8
Path Details
------------
start -2.77° 54.31° 106.52km
end   -2.85° 54.23° 98.68km

Orbit Details
-------------
Semimajor axis 4.15A.U., eccentricity 0.79, inclination 105.54°, Period 8.45Y, LA Sun 141.09°, last Perihelion 2021-07-12

Full details below
Click here to download a zip of the raw and processed data.

Detailed report below graphs

Click on an image to see a larger view


Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459440.435319677461
Time: 2021-08-13 22:26:51.655176 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002X and UK002Z
 Convergence angle = 86.77365 deg
 R.A. =  58.71504  Dec = +62.18200 deg

Best intersection: Stations UK002X and UK002Z with Qconv = 86.77 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1693276.48 +/- 36.48 m
 Y =  -3391408.51 +/- 37.19 m
 Z =   5245341.27 +/- 45.85 m
 Vx =    13551.87 +/- 220.88 m/s
 Vy =    22262.09 +/- 208.88 m/s
 Vz =    49309.78 +/- 175.74 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.426016e+03, +4.797614e+02, -1.134198e+03, +6.829865e+03, +2.757275e+03, -5.860365e+03
+4.797614e+02, +1.476369e+03, -2.411959e+02, +2.476226e+02, +5.134409e+03, -3.739102e+03
-1.134198e+03, -2.411959e+02, +2.247999e+03, -6.522787e+03, -4.777639e+03, +7.010597e+03
+6.829865e+03, +2.476226e+02, -6.522787e+03, +3.883356e+04, +8.767778e+03, -2.826320e+04
+2.757275e+03, +5.134409e+03, -4.777639e+03, +8.767778e+03, +2.768719e+04, -2.407638e+04
-5.860365e+03, -3.739102e+03, +7.010597e+03, -2.826320e+04, -2.407638e+04, +3.277403e+04

Timing offsets (from input data):
    UK002X: 0.000000 s
    UK002Z: -0.000071 s

Reference point on the trajectory:
  Time: 2021-08-13 22:26:51.655176 UTC
  Lon     = +-2.754943 +/- 0.0006 deg
  Lat     = +54.325156 +/- 0.0004 deg
  Lat geo = +54.145675 +/- 0.0004 deg
  Ht      =  107546.74 +/- 38.45 m

  JD dynamic   = 2459440.436120823957 
  LST apparent = 296.5322291627 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  58.66938 +/- 0.3583 deg
  Dec       = +62.14148 +/- 0.2546 deg
  Azimuth   =  28.87532 +/- 0.2829 deg
  Elevation = +34.97567 +/- 0.1966 deg
  Vavg      =  56.12896 +/- 0.0369 km/s
  Vinit     =  55.77373 +/- 0.0696 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  58.34901 +/- 0.3583 deg
  Dec       = +61.92894 +/- 0.2546 deg
  Azimuth   =  29.17790 +/- 0.2829 deg
  Elevation = +34.89684 +/- 0.1966 deg
  Vavg      =  56.23891 +/- 0.0369 km/s
  Vinit     =  55.88368 +/- 0.0696 km/s
Radiant (geocentric, J2000):
  R.A.   =  58.97073 +/- 0.3551 deg
  Dec    = +61.59570 +/- 0.2580 deg
  Vg     =  54.65829 +/- 0.0710 km/s
  Vinf   =  55.77373 +/- 0.0696 km/s
  Zc     =  55.18155 +/- 0.1964 deg
  Zg     =  55.78640 +/- 0.2001 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  71.28616 +/- 0.2543 deg
  Bg     = +40.15871 +/- 0.2387 deg
  Vh     =  39.21216 +/- 0.1924 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 106.29265 +/- 0.5798 deg
  Bh     = +64.02046 +/- 0.2226 deg
  Vh_x   =   4.81887 +/- 0.1865 km/s
  Vh_y   = -16.48709 +/- 0.0990 km/s
  Vh_z   = -35.24979 +/- 0.2164 km/s
Orbit:
  La Sun = 141.086694 +/- -0.0000 deg
  a      =   4.149518 +/- 0.3928 AU
  e      =   0.791695 +/- 0.0146
  i      = 105.538857 +/- 0.2789 deg
  peri   = 131.895897 +/- 0.6138 deg
  node   = 141.085736 +/- 0.0000 deg
  Pi     = 272.981633 +/- 0.6138 deg
  q      =   0.864367 +/- 0.0029 AU
  f      =  48.100165 +/- 0.6138 deg
  M      =   3.811920 +/- 0.4118 deg
  Q      =   7.434668 +/- 0.7846 AU
  n      =   0.116603 +/- 0.0116 deg/day
  T      =   8.452731 +/- 1.2941 years
  Last perihelion JD = 2459407.744526 (2021-07-12 05:52:07.027068) +/- 0.4377 days
  Tj     =   0.961912 +/- 0.0855
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.292824e-04, +1.282089e-05, +5.775639e-03, +5.338126e-09, +1.063060e-04, -7.519461e-05
q   , +1.282089e-05, +9.214359e-06, +1.028595e-03, +4.653231e-10, +3.083512e-05, -6.567757e-06
Tp  , +5.775639e-03, +1.028595e-03, +2.041001e-01, +1.483421e-07, +4.745060e-03, -2.090662e-03
node, +5.338126e-09, +4.653231e-10, +1.483421e-07, +1.276779e-13, +2.964035e-09, -1.798722e-09
peri, +1.063060e-04, +3.083512e-05, +4.745060e-03, +2.964035e-09, +1.222030e-04, -4.179031e-05
i   , -7.519461e-05, -6.567757e-06, -2.090662e-03, -1.798722e-09, -4.179031e-05, +2.534042e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 88.229049
 a2 = -0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK002X
  Avg. res. = 1.984e-06 s
  Stddev    = 1.41e-03 s

Begin point on the trajectory:
  Lon =    -2.765676 +/- 0.0005 deg
  Lat =    54.313776 +/- 0.0002 deg
  Ht  = 106518.09 +/- 31.73 m
End point on the trajectory:
  Lon =    -2.848490 +/- 0.0004 deg
  Lat =    54.226836 +/- 0.0001 deg
  Ht  = 98683.48 +/- 18.05 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
    UK002X,   False,    -3.059440,    54.994170,   18.00,  32.497568,   4.198641,   105316.49,    98683.48,          0.023734,     49.68,     22.68,              83.09, 1.0000,    True,    True, {"ff_name": "FF_UK002X_20210813_222646_656_0173568.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,  36.013741,   3.026048,   106518.09,    98878.78,          0.009935,     13.14,     33.63,              72.46, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_222645_670_0199936.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,     UK002X,       1,  0.000000, 2459440.435319677461, 305.51125,  19.52440,              165.06828,  53.83684,       165.06116,       53.83393,    305.51125,     +19.52440,     305.51614,      +19.52219,  1693292.30, -3391382.53,  5245398.82,      54.325568,       -2.754408,  107584.05,  132654.46,       0.00,               65.10,   237.92,      0.00,           55121.31,     -4.91,     10.76,          18.39,  +4.33,  +3.72
  1,     UK002X,       0,  0.080852, 2459440.435320613440, 304.70075,  18.00060,              166.70896,  52.44307,       166.66463,       52.42526,    304.70075,     +18.00060,     304.73182,      +17.98672,  1692330.81, -3392962.00,  5241900.34,      54.300473,       -2.778407,  105316.49,  132225.89,    3957.09,             3891.99,  -444.60,  48942.40,           55121.31,    -31.06,     67.92,         116.51,  +2.50,  +1.89
  2,     UK002X,       0,  0.121492, 2459440.435321083758, 304.18354,  16.90350,              167.73870,  51.42131,       167.73214,       51.41870,    304.18354,     +16.90350,     304.18863,      +16.90143,  1691655.76, -3394070.92,  5239444.12,      54.282841,       -2.795181,  103725.43,  131995.94,    6735.29,             6670.19,    66.95,  68361.22,           55121.31,     -4.64,     10.16,          17.45,  +1.23,  +0.63
  3,     UK002X,       0,  0.161980, 2459440.435321552213, 303.78808,  16.07171,              168.49999,  50.64255,       168.51381,       50.64802,    303.78808,     +16.07171,     303.77903,      +16.07610,  1691144.37, -3394911.00,  5237583.38,      54.269476,       -2.807925,  102520.61,  131860.22,    8839.96,             8774.86,   -86.54,  51982.60,           55121.31,      9.87,    -21.62,          37.18,  +0.64,  +0.04
  4,     UK002X,       0,  0.202488, 2459440.435322021134, 303.34560,  15.19413,              169.31895,  49.81957,       169.31970,       49.81987,    303.34560,     +15.19413,     303.34591,      +15.19437,  1690599.59, -3395805.94,  5235601.12,      54.255231,       -2.821487,  101237.60,  131752.69,   11082.07,            11016.97,  -103.72,  55349.68,           55334.51,      0.54,     -1.19,           2.04,  +0.63,  +0.03
  5,     UK002X,       0,  0.243072, 2459440.435322490986, 302.92199,  14.22739,              170.10177,  48.90167,       170.15589,       48.92280,    302.92199,     +14.22739,     302.88429,      +14.24480,  1690014.26, -3396767.48,  5233471.34,      54.239918,       -2.836041,   99859.68,  131679.86,   13491.04,            13425.94,    41.73,  59357.73,           55872.80,     39.46,    -86.51,         148.93,  +0.71,  +0.11
  6,     UK002X,       0,  0.283540, 2459440.435322958976, 302.51168,  13.42336,              170.81927,  48.14050,       170.84796,       48.15164,    302.51168,     +13.42336,     302.49220,      +13.43265,  1689514.43, -3397588.57,  5231652.66,      54.226836,       -2.848490,   98683.48,  131652.48,   15548.13,            15483.03,  -158.23,  50832.41,           55643.12,     21.14,    -46.29,          79.73,  +1.24,  +0.64
  0,     UK002Z,       0,  0.035133, 2459440.435320083052, 204.91172,  40.99815,              299.85436,  29.76119,       299.84857,       29.76949,    204.91172,     +40.99815,     204.92424,      +41.00078,  1692840.39, -3392124.89,  5243754.52,      54.313776,       -2.765676,  106518.09,  209355.36,       0.00,             1794.76,     8.08,      0.00,           54997.01,    -33.02,    -12.89,          34.92,  +4.45,  +2.85
  1,     UK002Z,       0,  0.075501, 2459440.435320550576, 205.09794,  40.46641,              299.31851,  29.46855,       299.30833,       29.48303,    205.09794,     +40.46641,     205.11975,      +40.47098,  1692333.82, -3392957.05,  5241911.31,      54.300552,       -2.778310,  105323.60,  208775.50,    2084.82,             3879.58,  -158.57,  51645.47,           54997.01,    -57.64,    -22.52,          61.14,  +2.86,  +1.26
  2,     UK002Z,       0,  0.115917, 2459440.435321018100, 205.33819,  39.85303,              298.68575,  29.14374,       298.68343,       29.14700,    205.33819,     +39.85303,     205.34349,      +39.85405,  1691747.50, -3393920.23,  5239777.91,      54.285237,       -2.792901,  103941.60,  208127.15,    4497.90,             6292.66,     0.35,  59705.88,           54997.01,    -12.99,     -5.07,          13.82,  +1.89,  +0.30
  3,     UK002Z,       0,  0.156293, 2459440.435321485624, 205.51643,  39.30889,              298.14844,  28.83702,       298.13913,       28.85006,    205.51643,     +39.30889,     205.53626,      +39.31295,  1691236.74, -3394759.26,  5237919.47,      54.271890,       -2.805630,  102738.19,  207584.77,    6599.95,             8394.71,  -149.51,  52062.01,           54997.01,    -51.92,    -20.28,          55.38,  +1.40,  -0.19
  4,     UK002Z,       0,  0.196717, 2459440.435321953613, 205.75820,  38.67991,              297.50591,  28.50072,       297.50639,       28.50005,    205.75820,     +38.67991,     205.75805,      +38.67970,  1690642.37, -3395735.65,  5235756.80,      54.256350,       -2.820411,  101338.35,  206977.39,    9046.13,            10840.89,    42.07,  60512.92,           55964.73,      2.67,      1.04,           2.85,  +2.11,  +0.53
  5,     UK002Z,       0,  0.237109, 2459440.435322421137, 205.95796,  38.10439,              296.93364,  28.18128,       296.93501,       28.17938,    205.95796,     +38.10439,     205.95619,      +38.10380,  1690105.29, -3396617.93,  5233802.58,      54.242300,       -2.833779,  100073.95,  206452.86,   11256.52,            13051.28,    -0.35,  54723.47,           56063.79,      7.54,      2.94,           8.09,  +1.41,  -0.16
  6,     UK002Z,       0,  0.277485, 2459440.435322888196, 206.13172,  37.55435,              296.39959,  27.86641,       296.39520,       27.87243,    206.13172,     +37.55435,     206.14161,      +37.55620,  1689597.43, -3397452.21,  5231954.69,      54.229009,       -2.846425,   98878.78,  205978.02,   13346.65,            15141.41,  -162.14,  51766.63,           55639.01,    -23.99,     -9.37,          25.79,  +2.32,  +0.75

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.