96P/Machholz 1

Metadata

Parameter Value
Designation 96P/Machholz 1
Type P
Perihelion (tp_cal, UTC) 2017-10-27T23:03:31.547520Z
Orbit solution date (soln_date, UTC) 2025-02-20T21:30:21Z
Obs used 669
NEO Yes
M1 13.700
K1 8.750
PC 0.030
Osculating Elements
Parameter Value
Epoch (epoch_cal, TDB) 2017-07-27.0000000
e 0.95916084
q (au) 0.123950
a (au) 3.035069
i (deg) 58.137900
Ω (om, deg) 94.254723
ω (w, deg) 14.792845
M (ma, deg) 342.671895

Magnitude

96P/Machholz 1 · Magnitude (Full range)

Scatter + Global Linear

$$ M_a = (13.089 + 4.780\cdot 2.5\log_{10} r) + \epsilon - 2.5\log_{10}\Phi(\theta) + 5\log_{10}\Delta $$ $$ \theta = 180^\circ - \alpha $$ $$ \Phi(\theta) = \frac{\delta_{90} D(\theta) + 1}{\delta_{90} + 1},\quad D(\theta) = k\cdot \Phi_{HG}(\theta; g_f) + (1-k)\cdot \Phi_{HG}(\theta; g_b) $$ $$ \Phi_{HG}(\theta; g) = \left(\frac{1+g^2}{1+g^2-2g\cos\theta}\right)^{3/2},\quad \Phi_{HG}(90^\circ)=1 $$

Model Parameters

Parameter Value
H0 13.089
n 4.780
gf 0.800
gb -0.781
k 0.948
δ90 1.000
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
2022-05-06 2023-01-31 -13.7766 -12.187
2023-01-31 2023-02-15 +1.6478 +0.513
2023-02-15 2024-07-14 -0.2364 -0.358

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

Ephemeris

Date/Time (UTC) RA (J2000) Dec (J2000) Nearest HIP Dist from HIP (arcmin)
2026-09-20 00:00 18:19:17.88 -40:46:30.3 HIP 89843 8.71
2026-09-20 12:00 18:19:14.88 -40:45:16.6 HIP 89843 9.28
2026-09-21 00:00 18:19:12.14 -40:44:02.9 HIP 89843 9.97
2026-09-21 12:00 18:19:09.66 -40:42:49.2 HIP 89843 10.72
2026-09-22 00:00 18:19:07.44 -40:41:35.5 HIP 89843 11.53
2026-09-22 12:00 18:19:05.48 -40:40:21.8 HIP 89843 12.39
2026-09-23 00:00 18:19:03.78 -40:39:08.1 HIP 89745 12.85
2026-09-23 12:00 18:19:02.33 -40:37:54.4 HIP 89745 11.60
2026-09-24 00:00 18:19:01.14 -40:36:40.8 HIP 89745 10.35
2026-09-24 12:00 18:19:00.20 -40:35:27.2 HIP 89745 9.11
2026-09-25 00:00 18:18:59.52 -40:34:13.7 HIP 89745 7.88
2026-09-25 12:00 18:18:59.08 -40:33:00.2 HIP 89745 6.66
2026-09-26 00:00 18:18:58.90 -40:31:46.8 HIP 89745 5.45
2026-09-26 12:00 18:18:58.97 -40:30:33.4 HIP 89745 4.26
2026-09-27 00:00 18:18:59.29 -40:29:20.2 HIP 89745 3.12
2026-09-27 12:00 18:18:59.85 -40:28:07.0 HIP 89745 2.11
2026-09-28 00:00 18:19:00.66 -40:26:53.9 HIP 89745 1.50
2026-09-28 12:00 18:19:01.72 -40:25:40.8 HIP 89745 1.80
2026-09-29 00:00 18:19:03.02 -40:24:27.9 HIP 89745 2.73
2026-09-29 12:00 18:19:04.56 -40:23:15.1 HIP 89745 3.86
2026-09-30 00:00 18:19:06.35 -40:22:02.4 HIP 89745 5.07
2026-09-30 12:00 18:19:08.38 -40:20:49.8 HIP 89745 6.32
2026-10-01 00:00 18:19:10.65 -40:19:37.4 HIP 89745 7.59
2026-10-01 12:00 18:19:13.16 -40:18:25.0 HIP 89745 8.89
2026-10-02 00:00 18:19:15.90 -40:17:12.8 HIP 89745 10.20
2026-10-02 12:00 18:19:18.89 -40:16:00.7 HIP 89745 11.53
2026-10-03 00:00 18:19:22.11 -40:14:48.8 HIP 89881 12.45
2026-10-03 12:00 18:19:25.57 -40:13:37.0 HIP 89881 12.01
2026-10-04 00:00 18:19:29.26 -40:12:25.4 HIP 89881 11.68
2026-10-04 12:00 18:19:33.18 -40:11:13.9 HIP 89881 11.46
2026-10-05 00:00 18:19:37.34 -40:10:02.6 HIP 89881 11.37
2026-10-05 12:00 18:19:41.73 -40:08:51.4 HIP 89881 11.42
2026-10-06 00:00 18:19:46.35 -40:07:40.5 HIP 89881 11.63
2026-10-06 12:00 18:19:51.20 -40:06:29.6 HIP 89881 11.99
2026-10-07 00:00 18:19:56.28 -40:05:19.0 HIP 89881 12.49
2026-10-07 12:00 18:20:01.59 -40:04:08.6 HIP 89881 13.14
2026-10-08 00:00 18:20:07.12 -40:02:58.3 HIP 89881 13.91
2026-10-08 12:00 18:20:12.88 -40:01:48.2 HIP 89881 14.80
2026-10-09 00:00 18:20:18.86 -40:00:38.3 HIP 89881 15.79
2026-10-09 12:00 18:20:25.06 -39:59:28.6 HIP 89881 16.88
2026-10-10 00:00 18:20:31.48 -39:58:19.1 HIP 89881 18.06
2026-10-10 12:00 18:20:38.13 -39:57:09.9 HIP 89881 19.31
2026-10-11 00:00 18:20:44.99 -39:56:00.8 HIP 89881 20.64