Orbital Analysis for matched events on 20210929_024650.136_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 64.58° Bg -15.36° Vg 60.53km/s
mass 0.01370g, abs. mag -0.1
Path Details
------------
start 1.26° 52.23° 106.48km
end   1.22° 52.29° 99.22km

Orbit Details
-------------
Semimajor axis 5.58A.U., eccentricity 0.93, inclination 141.48°, Period 13.17Y, LA Sun 185.89°, last Perihelion 2008-09-08

Full details below
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Detailed report below graphs

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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: 2459486.615858066827
Time: 2021-09-29 02:46:50.136974 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002F
 Convergence angle = 15.57425 deg
 R.A. =  66.50409  Dec =  +6.73592 deg

Best intersection: Stations UK000C and UK002F with Qconv = 15.57 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2501930.94 +/- 123.18 m
 Y =   3095741.97 +/- 64.45 m
 Z =   5102399.67 +/- 85.58 m
 Vx =    25252.27 +/- 2233.39 m/s
 Vy =    55697.75 +/- 1567.06 m/s
 Vz =     6848.21 +/- 1331.88 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.485929e+04, -4.899091e+03, -9.722766e+03, +1.300489e+05, -1.311024e+05, -1.199171e+05
-4.899091e+03, +4.124845e+03, +4.415903e+03, -2.820831e+04, +4.182609e+04, +3.438423e+04
-9.722766e+03, +4.415903e+03, +7.262983e+03, -8.081305e+04, +8.589353e+04, +8.071341e+04
+1.300489e+05, -2.820831e+04, -8.081305e+04, +2.148870e+06, -2.043384e+06, -1.897600e+06
-1.311024e+05, +4.182609e+04, +8.589353e+04, -2.043384e+06, +2.161091e+06, +1.870045e+06
-1.199171e+05, +3.438423e+04, +8.071341e+04, -1.897600e+06, +1.870045e+06, +1.735127e+06

Timing offsets (from input data):
    UK000C: 0.000000 s
    UK002F: -0.000828 s

Reference point on the trajectory:
  Time: 2021-09-29 02:46:50.136974 UTC
  Lon     = ++1.257084 +/- 0.0018 deg
  Lat     = +52.225773 +/- 0.0008 deg
  Lat geo = +52.042351 +/- 0.0008 deg
  Ht      =  106439.71 +/- 56.53 m

  JD dynamic   = 2459486.616658807732 
  LST apparent = 51.0553907797 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  65.61139 +/- 1.8062 deg
  Dec       =  +6.38945 +/- 1.1434 deg
  Azimuth   = 160.15753 +/- 2.7234 deg
  Elevation = +42.62298 +/- 0.7342 deg
  Vavg      =  57.84352 +/- 0.6634 km/s
  Vinit     =  61.53710 +/- 1.0129 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  65.87429 +/- 1.8062 deg
  Dec       =  +6.38183 +/- 1.1434 deg
  Azimuth   = 159.81282 +/- 2.7234 deg
  Elevation = +42.56042 +/- 0.7342 deg
  Vavg      =  57.91666 +/- 0.6634 km/s
  Vinit     =  61.61024 +/- 1.0129 km/s
Radiant (geocentric, J2000):
  R.A.   =  65.40898 +/- 1.8112 deg
  Dec    =  +5.93469 +/- 1.1673 deg
  Vg     =  60.52791 +/- 1.0290 km/s
  Vinf   =  61.53710 +/- 1.0129 km/s
  Zc     =  47.20452 +/- 0.7312 deg
  Zg     =  47.61847 +/- 0.7493 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.58072 +/- 2.0378 deg
  Bg     = -15.35944 +/- 0.8529 deg
  Vh     =  40.14888 +/- 0.4336 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  39.05816 +/- 3.6519 deg
  Bh     = -23.53213 +/- 0.9319 deg
  Vh_x   = -28.58318 +/- 1.4494 km/s
  Vh_y   = -23.19428 +/- 1.9519 km/s
  Vh_z   =  16.02998 +/- 0.6585 km/s
Orbit:
  La Sun = 185.889908 +/- nan deg
  a      =   5.575878 +/- 3.1405 AU
  e      =   0.930365 +/- 0.0173
  i      = 141.478975 +/- 3.7409 deg
  peri   = 105.706900 +/- 4.9275 deg
  node   =   5.892580 +/- 0.0001 deg
  Pi     = 111.599480 +/- 4.9274 deg
  q      =   0.388276 +/- 0.0424 AU
  f      = 254.294283 +/- 4.9277 deg
  M      = 356.999074 +/- 0.8840 deg
  Q      =  10.763480 +/- 6.2677 AU
  n      =   0.074857 +/- 0.0214 deg/day
  T      =  13.166506 +/- 15.2589 years
  Last perihelion JD = 2454717.555187 (2008-09-08 01:19:28.149032) +/- 5573.7866 days
  Tj     =   0.339530 +/- 0.2117
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.081995e-04, -2.036740e-04, -7.369309e+01, -1.732150e-08, +2.292661e-04, -5.676909e-04
q   , -2.036740e-04, +1.637781e-03, -6.559425e+01, +9.139344e-08, -3.266764e-03, +2.485388e-03
Tp  , -7.369309e+01, -6.559425e+01, +2.848504e+07, -2.020266e-03, +1.816558e+02, -2.385162e+01
node, -1.732150e-08, +9.139344e-08, -2.020266e-03, +5.316541e-12, -1.785470e-07, +1.465231e-07
peri, +2.292661e-04, -3.266764e-03, +1.816558e+02, -1.785470e-07, +6.627348e-03, -4.794399e-03
i   , -5.676909e-04, +2.485388e-03, -2.385162e+01, +1.465231e-07, -4.794399e-03, +4.083095e-03

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: UK000C
  Avg. res. = 5.036e-06 s
  Stddev    = 2.24e-03 s

Begin point on the trajectory:
  Lon =     1.257282 +/- 0.0019 deg
  Lat =    52.225437 +/- 0.0006 deg
  Ht  = 106476.96 +/- 59.71 m
End point on the trajectory:
  Lon =     1.217898 +/- 0.0040 deg
  Lat =    52.291113 +/- 0.0006 deg
  Ht  = 99219.50 +/- 166.35 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   106476.96,   100101.15,          0.016634,     31.49,     50.41,              79.75, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210929_024650_967_0750080.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105490.34,    99219.50,          0.004000,      9.13,     11.38,              63.24, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210929_024649_930_0754944.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,     UK000C,       0,  0.000000, 2459486.615858066827, 147.84560,  47.14751,               51.23920,  30.45897,        51.23200,       30.46528,    147.84560,     +47.14751,     147.84524,      +47.15636,  2501953.51,  3095791.75,  5102405.79,      52.225437,       +1.257282,  106476.96,  205142.28,       0.00,               55.00,   632.70,      0.00,           58371.77,    -26.87,    -16.79,          31.86,  +5.01,  +3.45
  1,     UK000C,       0,  0.040316, 2459486.615858533420, 148.65556,  47.20151,               50.74894,  30.10286,        50.77570,       30.07951,    148.65556,     +47.20151,     148.65630,      +47.16863,  2501132.93,  3093981.83,  5102183.25,      52.237673,       +1.249921,  105122.98,  204798.09,    1999.67,             1944.67,    41.44,  49599.94,           58371.77,     99.68,     62.26,         118.37,  +2.36,  +0.80
  2,     UK000C,       0,  0.080740, 2459486.615859001409, 149.64749,  47.18953,               50.21177,  29.61562,        50.22331,       29.60559,    149.64749,     +47.18953,     149.64777,      +47.17534,  2500133.60,  3091777.66,  5101912.24,      52.252581,       +1.240983,  103474.49,  204406.34,    4434.93,             4379.93,   -10.87,  60242.95,           58371.77,     42.92,     26.81,          51.06,  +1.46,  -0.09
  3,     UK000C,       0,  0.121192, 2459486.615859469865, 150.71554,  47.17260,               49.63433,  29.09221,        49.63414,       29.09237,    150.71554,     +47.17260,     150.71599,      +47.17283,  2499061.05,  3089411.98,  5101621.37,      52.268589,       +1.231391,  101705.77,  204018.04,    7048.62,             6993.62,   113.52,  64612.12,           58371.77,     -0.69,     -0.43,           0.83,  +1.51,  -0.04
  4,     UK000C,       0,  0.161592, 2459486.615859937388, 151.68818,  47.16690,               49.09860,  28.62626,        49.10250,       28.62290,    151.68818,     +47.16690,     151.68862,      +47.16212,  2498087.73,  3087265.17,  5101357.42,      52.283123,       +1.222661,  100101.15,  203693.41,    9420.51,             9365.51,    -0.69,  58710.13,           59126.25,     14.44,      9.02,          17.24,  +2.01,  +0.47
  0,     UK002F,       0,  0.027676, 2459486.615858216770, 128.97613,  30.81034,               76.43014,  29.38134,        76.43514,       29.37530,    128.97613,     +30.81034,     128.97741,      +30.80297,  2501355.59,  3094472.94,  5102243.63,      52.234352,       +1.251987,  105490.34,  209647.93,       0.00,             1402.07,   276.65,      0.00,           60485.28,     21.25,     17.04,          26.80,  +2.89,  +1.28
  1,     UK002F,       0,  0.068028, 2459486.615858683828, 129.60399,  30.88101,               75.93142,  29.05560,        75.92981,       29.05752,    129.60399,     +30.88101,     129.60377,      +30.88336,  2500450.34,  3092476.27,  5101998.14,      52.247855,       +1.243878,  103996.93,  208677.62,    2206.01,             3608.08,    -0.48,  54669.13,           60485.28,     -6.77,     -5.43,           8.57,  +1.72,  +0.12
  2,     UK002F,       0,  0.108392, 2459486.615859150887, 130.27205,  30.96942,               75.39177,  28.71947,        75.39432,       28.71643,    130.27205,     +30.96942,     130.27298,      +30.96568,  2499493.92,  3090366.73,  5101738.76,      52.262128,       +1.235310,  102419.53,  207673.62,    4536.71,             5938.78,  -153.67,  57741.96,           60485.28,     10.67,      8.56,          13.58,  +1.47,  -0.12
  3,     UK002F,       0,  0.148848, 2459486.615859619342, 131.09536,  31.05960,               74.74373,  28.29318,        74.74236,       28.29480,    131.09536,     +31.05960,     131.09557,      +31.06160,  2498333.00,  3087806.15,  5101423.93,      52.279460,       +1.224934,  100505.46,  206485.93,    7365.74,             8767.82,   185.82,  69928.76,           60485.28,     -5.67,     -4.55,           7.26,  +1.63,  +0.06
  4,     UK002F,       0,  0.189152, 2459486.615860085934, 131.65364,  31.12501,               74.30217,  28.00813,        74.30270,       28.00750,    131.65364,     +31.12501,     131.65443,      +31.12424,  2497552.83,  3086085.36,  5101212.36,      52.291113,       +1.217898,   99219.50,  205702.60,    9266.93,            10669.01,  -393.18,  47171.25,           58682.20,      2.19,      1.75,           2.81,  +3.01,  +1.44

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.