50P/Arend

Metadata

Parameter Value
Designation 50P/Arend
Type P
Perihelion (tp_cal, UTC) 2007-11-02T19:43:29.481600Z
Orbit solution date (soln_date, UTC) 2025-10-01T16:07:23Z
Obs used 1874
NEO -
M1 13.900
K1 9.000
PC -
Osculating Elements
Parameter Value
Epoch (epoch_cal, TDB) 2011-07-01.0000000
e 0.53063813
q (au) 1.918329
a (au) 4.087100
i (deg) 19.155639
Ω (om, deg) 355.310553
ω (w, deg) 49.039728
M (ma, deg) 159.384273

Magnitude

50P/Arend · Magnitude (Full range)

Scatter + Global Linear

$$ M_a = (12.457 + 4.038\cdot 2.5\log_{10} r) + \epsilon - 2.5\log_{10}\Phi(\theta) + 5\log_{10}\Delta $$ $$ \theta = 180^\circ - \alpha $$ $$ \Phi(\theta) = \frac{\delta_{90} D(\theta) + 1}{\delta_{90} + 1},\quad D(\theta) = k\cdot \Phi_{HG}(\theta; g_f) + (1-k)\cdot \Phi_{HG}(\theta; g_b) $$ $$ \Phi_{HG}(\theta; g) = \left(\frac{1+g^2}{1+g^2-2g\cos\theta}\right)^{3/2},\quad \Phi_{HG}(90^\circ)=1 $$

Model Parameters

Parameter Value
H0 12.457
n 4.038
gf 1.000
gb -1.000
k 1.000
δ90 10.000
Parameter Symbol Range Description
Absolute magnitude at 1 AU from Sun and Earth H0 -5 to 20 Intrinsic brightness of the comet
Photometric slope parameter n 2 to 6 Rate of brightness change with heliocentric distance
Forward scattering asymmetry factor gf 0.8 to 1 Degree of forward scattering
Backward scattering asymmetry factor gb -1 to -0.5 Degree of backward scattering
Partitioning coefficient k 0.8 to 1 Ratio between forward/backward scattering contributions
Dust-to-gas brightness ratio δ90 1 to 10 Relative contribution of dust scattering to gas emission

Reference: EPSC-DPS2025-160

Residuals (Piecewise)

$$\epsilon = a \log_{10} r_{\mathrm{au}} + b$$

Start (UTC) End (UTC) a b
2023-08-17 2024-05-13 +13.6006 -5.552
2024-05-13 2025-05-02 -14.3888 +6.578

log10 r = log10(heliocentric distance / AU), Δ = geocentric distance (AU)

Ephemeris

Date/Time (UTC) RA (J2000) Dec (J2000) Nearest HIP Dist from HIP (arcmin)
2026-06-01 00:00 11:34:29.15 -01:36:38.1 HIP 56493 37.65
2026-06-01 12:00 11:34:30.93 -01:37:08.6 HIP 56493 37.08
2026-06-02 00:00 11:34:32.89 -01:37:40.0 HIP 56493 36.49
2026-06-02 12:00 11:34:35.03 -01:38:12.4 HIP 56493 35.88
2026-06-03 00:00 11:34:37.34 -01:38:45.9 HIP 56493 35.26
2026-06-03 12:00 11:34:39.83 -01:39:20.4 HIP 56493 34.63
2026-06-04 00:00 11:34:42.50 -01:39:55.9 HIP 56493 33.98
2026-06-04 12:00 11:34:45.34 -01:40:32.4 HIP 56493 33.33
2026-06-05 00:00 11:34:48.35 -01:41:09.9 HIP 56493 32.67
2026-06-05 12:00 11:34:51.54 -01:41:48.5 HIP 56493 32.01
2026-06-06 00:00 11:34:54.90 -01:42:28.0 HIP 56493 31.35
2026-06-06 12:00 11:34:58.43 -01:43:08.5 HIP 56493 30.71
2026-06-07 00:00 11:35:02.14 -01:43:50.1 HIP 56493 30.07
2026-06-07 12:00 11:35:06.01 -01:44:32.6 HIP 56493 29.46
2026-06-08 00:00 11:35:10.06 -01:45:16.1 HIP 56493 28.87
2026-06-08 12:00 11:35:14.27 -01:46:00.6 HIP 56493 28.32
2026-06-09 00:00 11:35:18.65 -01:46:46.1 HIP 56493 27.81
2026-06-09 12:00 11:35:23.20 -01:47:32.6 HIP 56493 27.35
2026-06-10 00:00 11:35:27.91 -01:48:20.1 HIP 56493 26.95
2026-06-10 12:00 11:35:32.80 -01:49:08.5 HIP 56493 26.62
2026-06-11 00:00 11:35:37.84 -01:49:57.9 HIP 56493 26.37
2026-06-11 12:00 11:35:43.05 -01:50:48.3 HIP 56493 26.22
2026-06-12 00:00 11:35:48.43 -01:51:39.7 HIP 56493 26.16
2026-06-12 12:00 11:35:53.97 -01:52:32.1 HIP 56493 26.20
2026-06-13 00:00 11:35:59.67 -01:53:25.4 HIP 56493 26.37
2026-06-13 12:00 11:36:05.53 -01:54:19.7 HIP 56493 26.65
2026-06-14 00:00 11:36:11.55 -01:55:14.9 HIP 56493 27.06
2026-06-14 12:00 11:36:17.73 -01:56:11.1 HIP 56493 27.59
2026-06-15 00:00 11:36:24.07 -01:57:08.3 HIP 56493 28.25
2026-06-15 12:00 11:36:30.57 -01:58:06.4 HIP 56493 29.05
2026-06-16 00:00 11:36:37.22 -01:59:05.5 HIP 56493 29.96
2026-06-16 12:00 11:36:44.03 -02:00:05.5 HIP 56738 30.57
2026-06-17 00:00 11:36:51.00 -02:01:06.5 HIP 56738 30.37
2026-06-17 12:00 11:36:58.12 -02:02:08.4 HIP 56738 30.29
2026-06-18 00:00 11:37:05.39 -02:03:11.2 HIP 56775 30.23
2026-06-18 12:00 11:37:12.82 -02:04:14.9 HIP 56775 28.23
2026-06-19 00:00 11:37:20.39 -02:05:19.6 HIP 56775 26.21
2026-06-19 12:00 11:37:28.12 -02:06:25.2 HIP 56775 24.19
2026-06-20 00:00 11:37:35.99 -02:07:31.7 HIP 56775 22.17
2026-06-20 12:00 11:37:44.01 -02:08:39.2 HIP 56775 20.16
2026-06-21 00:00 11:37:52.18 -02:09:47.5 HIP 56775 18.20
2026-06-21 12:00 11:38:00.50 -02:10:56.7 HIP 56775 16.31
2026-06-22 00:00 11:38:08.96 -02:12:06.8 HIP 56775 14.54