Orbital Analysis for matched events on 20210904_003736.378_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 52.09° Bg 35.09° Vg 58.45km/s
mass 0.08712g, abs. mag -2.5
Path Details
------------
start -1.07° 52.97° 105.98km
end   -1.13° 52.96° 96.95km

Orbit Details
-------------
Semimajor axis 7.21A.U., eccentricity 0.88, inclination 114.90°, Period 19.37Y, LA Sun 161.42°, last Perihelion 2002-05-24

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: 2459461.526115486864
Time: 2021-09-04 00:37:36.378065 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0029 and UK002F
 Convergence angle = 80.28618 deg
 R.A. =  36.23431  Dec = +51.27718 deg

Best intersection: Stations UK0029 and UK002F with Qconv = 80.29 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3871863.92 +/- 79.63 m
 Y =   -565175.28 +/- 35.84 m
 Z =   5153322.96 +/- 69.84 m
 Vx =    29791.81 +/- 571.49 m/s
 Vy =    21555.57 +/- 196.16 m/s
 Vz =    46770.10 +/- 521.65 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.960743e+03, +2.448188e+03, +1.144949e+03, +2.441115e+04, +6.174260e+03, -1.704380e+04
+2.448188e+03, +1.240629e+03, +1.319912e+03, +8.693874e+03, +2.602114e+03, -5.620466e+03
+1.144949e+03, +1.319912e+03, +5.166049e+03, -1.366344e+03, -1.766022e+03, +3.993054e+03
+2.441115e+04, +8.693874e+03, -1.366344e+03, +2.364883e+05, +5.966529e+04, -1.329276e+05
+6.174260e+03, +2.602114e+03, -1.766022e+03, +5.966529e+04, +2.342982e+04, -2.459635e+04
-1.704380e+04, -5.620466e+03, +3.993054e+03, -1.329276e+05, -2.459635e+04, +1.293512e+05

Timing offsets (from input data):
    UK0029: 0.000000 s
    UK002F: -0.000300 s

Reference point on the trajectory:
  Time: 2021-09-04 00:37:36.378065 UTC
  Lon     = +-1.066413 +/- 0.0007 deg
  Lat     = +52.972912 +/- 0.0006 deg
  Lat geo = +52.790755 +/- 0.0006 deg
  Ht      =  105912.43 +/- 77.91 m

  JD dynamic   = 2459461.526916227769 
  LST apparent = 351.6951978323 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  35.88725 +/- 0.3081 deg
  Dec       = +51.82440 +/- 0.5462 deg
  Azimuth   =  74.48594 +/- 1.2789 deg
  Elevation = +63.44036 +/- 0.0811 deg
  Vavg      =  60.34223 +/- 0.3446 km/s
  Vinit     =  59.49484 +/- 0.2067 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  36.20431 +/- 0.3081 deg
  Dec       = +51.67370 +/- 0.5462 deg
  Azimuth   =  74.64864 +/- 1.2789 deg
  Elevation = +63.20392 +/- 0.0811 deg
  Vavg      =  60.46572 +/- 0.3446 km/s
  Vinit     =  59.61833 +/- 0.2067 km/s
Radiant (geocentric, J2000):
  R.A.   =  35.88437 +/- 0.3122 deg
  Dec    = +51.64518 +/- 0.5501 deg
  Vg     =  58.45027 +/- 0.2104 km/s
  Vinf   =  59.49484 +/- 0.2067 km/s
  Zc     =  26.60890 +/- 0.0794 deg
  Zg     =  26.84889 +/- 0.0800 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  52.09176 +/- 0.4718 deg
  Bg     = +35.08637 +/- 0.4355 deg
  Vh     =  40.44947 +/- 0.1875 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  25.24237 +/- 0.5932 deg
  Bh     = +56.16652 +/- 0.7876 deg
  Vh_x   = -20.37096 +/- 0.5003 km/s
  Vh_y   =  -9.60426 +/- 0.1432 km/s
  Vh_z   = -33.59973 +/- 0.3609 km/s
Orbit:
  La Sun = 161.422708 +/- -0.0000 deg
  a      =   7.212919 +/- 0.7027 AU
  e      =   0.884239 +/- 0.0135
  i      = 114.896124 +/- 0.4537 deg
  peri   = 230.710776 +/- 1.7236 deg
  node   = 161.422597 +/- 0.0000 deg
  Pi     =  32.133372 +/- 1.7236 deg
  q      =   0.834975 +/- 0.0111 AU
  f      = 309.286551 +/- 1.7237 deg
  M      = 358.341205 +/- 0.3693 deg
  Q      =  13.590863 +/- 1.4016 AU
  n      =   0.050879 +/- 0.0100 deg/day
  T      =  19.371679 +/- 2.6875 years
  Last perihelion JD = 2452418.500851 (2002-05-24 00:01:13.534302) +/- 982.1480 days
  Tj     =   0.258595 +/- 0.0924
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.034220e-04, +3.727039e-05, -1.465702e+01, -1.360449e-09, -1.626789e-04, +2.618798e-05
q   , +3.727039e-05, +1.170563e-04, -4.371853e+00, +3.586914e-09, -3.192717e-04, -6.885021e-05
Tp  , -1.465702e+01, -4.371853e+00, +1.089718e+06, +3.297175e-05, +1.613759e+01, -6.389538e-01
node, -1.360449e-09, +3.586914e-09, +3.297175e-05, +1.606099e-13, -8.987607e-09, -3.084787e-09
peri, -1.626789e-04, -3.192717e-04, +1.613759e+01, -8.987607e-09, +8.904331e-04, +1.725062e-04
i   , +2.618798e-05, -6.885021e-05, -6.389538e-01, -3.084787e-09, +1.725062e-04, +5.925000e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 36.755732
 a2 = -0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK0029
  Avg. res. = 3.353e-06 s
  Stddev    = 1.83e-03 s

Begin point on the trajectory:
  Lon =    -1.065943 +/- 0.0003 deg
  Lat =    52.972991 +/- 0.0006 deg
  Ht  = 105978.99 +/- 18.68 m
End point on the trajectory:
  Lon =    -1.130366 +/- 0.0002 deg
  Lat =    52.962290 +/- 0.0006 deg
  Ht  = 96951.79 +/- 15.76 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
    UK0029,   False,    -4.441783,    52.004778,  230.00,  44.721360,   0.000000,   105978.99,    96951.79,          0.021262,     66.13,     75.82,              40.12, 1.0000,    True,    True, {"ff_name": "FF_UK0029_20210904_003729_733_0453376.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   103879.41,    97609.04,          0.003537,      8.46,      4.76,              45.13, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210904_003730_719_0454912.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,     UK0029,       0,  0.000000, 2459461.526115486864,  85.37726,  32.85780,               63.51746,  21.34816,        63.50071,       21.34972,     85.37726,     +32.85780,      85.38993,      +32.86921,  3871901.18,  -565148.32,  5153381.46,      52.972991,       -1.065943,  105978.99,  276433.76,       0.00,               74.41,  -338.84,      0.00,           62983.44,     57.02,    -49.66,          56.42,  +4.59,  +2.38
  1,     UK0029,       0,  0.040340, 2459461.526115953922,  85.71601,  32.58899,               63.47526,  20.95838,        63.45762,       20.96003,     85.71601,     +32.58899,      85.72956,      +32.60100,  3870443.83,  -566202.78,  5151093.57,      52.969912,       -1.084478,  103375.83,  274207.67,    2910.36,             2835.95,    22.67,  72145.75,           62983.44,     59.73,    -52.02,          59.58,  +2.07,  -0.12
  2,     UK0029,       0,  0.080616, 2459461.526116420049,  85.98548,  32.36592,               63.44683,  20.64101,        63.42254,       20.64327,     85.98548,     +32.36592,      86.00434,      +32.38246,  3869275.78,  -567047.91,  5149259.85,      52.967440,       -1.099375,  101289.60,  272430.96,    5242.98,             5168.57,   -40.92,  57915.94,           62983.44,     81.92,    -71.33,          82.24,  +1.54,  -0.64
  3,     UK0029,       0,  0.120904, 2459461.526116886176,  86.29407,  32.15037,               63.38516,  20.30750,        63.38556,       20.30746,     86.29407,     +32.15037,      86.29414,      +32.15010,  3868054.03,  -567931.89,  5147341.83,      52.964851,       -1.114958,   99107.63,  270582.15,    7682.84,             7608.43,     2.01,  60560.41,           62983.44,     -1.33,      1.16,           1.34,  +1.18,  -0.98
  4,     UK0029,       0,  0.161192, 2459461.526117352303,  86.61089,  31.94190,               63.31171,  19.97461,        63.34867,       19.97113,     86.61089,     +31.94190,      86.58292,      +31.91674,  3866846.82,  -568805.35,  5145446.64,      52.962290,       -1.130366,   96951.79,  268764.58,   10093.65,            10019.24,    15.89,  59839.43,           61943.57,   -123.35,    107.73,         125.69,  +2.31,  +0.16
  0,     UK002F,       0,  0.031227, 2459461.526115848217, 146.74939,  76.78451,                7.12596,  39.62192,         7.12813,       39.62070,    146.74939,     +76.78451,     146.74427,      +76.78280,  3870725.76,  -565998.79,  5151536.17,      52.970508,       -1.080886,  103879.41,  160913.14,       0.00,             2272.92,     1.81,      0.00,           58454.57,      2.86,      5.08,           7.47,  +1.48,  +0.45
  1,     UK002F,       0,  0.071479, 2459461.526116313878, 148.87576,  76.43480,                6.66738,  39.13297,         6.66543,       39.13406,    148.87576,     +76.43480,     148.88064,      +76.43630,  3869528.09,  -566865.35,  5149655.96,      52.967975,       -1.096155,  101740.25,  159210.80,    2391.76,             4664.69,    -1.21,  59419.72,           58454.57,     -2.54,     -4.52,           6.71,  -0.09,  -1.10
  2,     UK002F,       0,  0.111739, 2459461.526116780005, 151.05082,  76.05167,                6.17464,  38.61617,         6.17953,       38.61344,    151.05082,     +76.05167,     151.03904,      +76.04800,  3868279.15,  -567769.01,  5147695.24,      52.965329,       -1.112079,   99509.67,  157454.87,    4885.93,             7158.86,    97.70,  61951.61,           58454.57,      6.33,     11.24,          16.90,  -0.34,  -1.33
  3,     UK002F,       0,  0.151975, 2459461.526117245667, 152.83461,  75.69918,                5.75716,  38.16162,         5.76183,       38.15903,    152.83461,     +75.69918,     152.82337,      +75.69575,  3867214.87,  -568539.06,  5146024.44,      52.963071,       -1.125680,   97609.04,  155974.42,    7011.31,             9284.24,  -170.76,  52822.78,           58454.57,      6.01,     10.66,          16.18,  +0.71,  -0.26

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.