C/1959 Q1 (Alcock)

Metadata

Parameter Value
Designation C/1959 Q1 (Alcock)
Type C
Perihelion (tp_cal, UTC) 1959-08-17T14:42:54.362880Z
Orbit solution date (soln_date, UTC) 2021-04-15T23:29:14Z
Obs used 22
NEO -
M1 -
K1 -
PC 0.030
Osculating Elements
Parameter Value
Epoch (epoch_cal, TDB) 1959-09-21.0000000
e 1.00130906
q (au) 1.150410
a (au) -878.806801
i (deg) 48.258940
Ω (om, deg) 159.919935
ω (w, deg) 124.713032
M (ma, deg) 0.001301

Magnitude

C/1959 Q1 (Alcock) · Magnitude (Full range)

Scatter + Global Linear

$$ M_a = (8.983 + 6.000\cdot 2.5\log_{10} r) + \epsilon - 2.5\log_{10}\Phi(\theta) + 5\log_{10}\Delta $$ $$ \theta = 180^\circ - \alpha $$ $$ \Phi(\theta) = \frac{\delta_{90} D(\theta) + 1}{\delta_{90} + 1},\quad D(\theta) = k\cdot \Phi_{HG}(\theta; g_f) + (1-k)\cdot \Phi_{HG}(\theta; g_b) $$ $$ \Phi_{HG}(\theta; g) = \left(\frac{1+g^2}{1+g^2-2g\cos\theta}\right)^{3/2},\quad \Phi_{HG}(90^\circ)=1 $$

Model Parameters

Parameter Value
H0 8.983
n 6.000
gf 1.000
gb -0.500
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
1959-08-25 1959-11-05 +39.7685 -2.674

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 06:31:50.35 -20:23:53.6 HIP 31094 20.70
2026-06-01 12:00 06:31:51.56 -20:23:48.2 HIP 31094 20.86
2026-06-02 00:00 06:31:52.78 -20:23:42.9 HIP 31094 21.01
2026-06-02 12:00 06:31:54.00 -20:23:37.7 HIP 31094 21.17
2026-06-03 00:00 06:31:55.23 -20:23:32.7 HIP 31094 21.33
2026-06-03 12:00 06:31:56.46 -20:23:27.7 HIP 31166 21.38
2026-06-04 00:00 06:31:57.69 -20:23:22.8 HIP 31166 21.22
2026-06-04 12:00 06:31:58.93 -20:23:18.0 HIP 31166 21.06
2026-06-05 00:00 06:32:00.18 -20:23:13.3 HIP 31166 20.91
2026-06-05 12:00 06:32:01.42 -20:23:08.7 HIP 31166 20.77
2026-06-06 00:00 06:32:02.68 -20:23:04.2 HIP 31166 20.62
2026-06-06 12:00 06:32:03.93 -20:22:59.9 HIP 31166 20.49
2026-06-07 00:00 06:32:05.20 -20:22:55.6 HIP 31166 20.35
2026-06-07 12:00 06:32:06.46 -20:22:51.4 HIP 31166 20.23
2026-06-08 00:00 06:32:07.73 -20:22:47.4 HIP 31166 20.11
2026-06-08 12:00 06:32:09.00 -20:22:43.4 HIP 31166 19.99
2026-06-09 00:00 06:32:10.28 -20:22:39.5 HIP 31166 19.88
2026-06-09 12:00 06:32:11.56 -20:22:35.8 HIP 31166 19.77
2026-06-10 00:00 06:32:12.84 -20:22:32.2 HIP 31166 19.68
2026-06-10 12:00 06:32:14.13 -20:22:28.6 HIP 31166 19.58
2026-06-11 00:00 06:32:15.42 -20:22:25.2 HIP 31166 19.50
2026-06-11 12:00 06:32:16.72 -20:22:21.9 HIP 31166 19.42
2026-06-12 00:00 06:32:18.02 -20:22:18.6 HIP 31166 19.34
2026-06-12 12:00 06:32:19.32 -20:22:15.5 HIP 31166 19.27
2026-06-13 00:00 06:32:20.62 -20:22:12.5 HIP 31166 19.21
2026-06-13 12:00 06:32:21.93 -20:22:09.6 HIP 31166 19.16
2026-06-14 00:00 06:32:23.24 -20:22:06.9 HIP 31166 19.11
2026-06-14 12:00 06:32:24.55 -20:22:04.2 HIP 31166 19.07
2026-06-15 00:00 06:32:25.87 -20:22:01.6 HIP 31166 19.04
2026-06-15 12:00 06:32:27.19 -20:21:59.2 HIP 31166 19.01
2026-06-16 00:00 06:32:28.51 -20:21:56.8 HIP 31166 18.99
2026-06-16 12:00 06:32:29.83 -20:21:54.6 HIP 31166 18.97
2026-06-17 00:00 06:32:31.16 -20:21:52.4 HIP 31166 18.97
2026-06-17 12:00 06:32:32.49 -20:21:50.4 HIP 31166 18.97
2026-06-18 00:00 06:32:33.82 -20:21:48.5 HIP 31166 18.98
2026-06-18 12:00 06:32:35.15 -20:21:46.7 HIP 31166 18.99
2026-06-19 00:00 06:32:36.48 -20:21:45.0 HIP 31275 18.97
2026-06-19 12:00 06:32:37.82 -20:21:43.4 HIP 31275 18.73
2026-06-20 00:00 06:32:39.16 -20:21:41.9 HIP 31275 18.50
2026-06-20 12:00 06:32:40.50 -20:21:40.5 HIP 31275 18.26
2026-06-21 00:00 06:32:41.84 -20:21:39.3 HIP 31275 18.03
2026-06-21 12:00 06:32:43.18 -20:21:38.1 HIP 31275 17.81
2026-06-22 00:00 06:32:44.52 -20:21:37.1 HIP 31275 17.59