C/1957 P1 (Mrkos)

Metadata

Parameter Value
Designation C/1957 P1 (Mrkos)
Type C
Perihelion (tp_cal, UTC) 1957-08-01T10:26:12.068160Z
Orbit solution date (soln_date, UTC) 2021-04-15T23:29:14Z
Obs used 16
NEO -
M1 -
K1 -
PC 0.030
Osculating Elements
Parameter Value
Epoch (epoch_cal, TDB) 1958-03-10.0000000
e 0.99933801
q (au) 0.354936
a (au) 536.161864
i (deg) 93.956740
Ω (om, deg) 68.323840
ω (w, deg) 40.318515
M (ma, deg) 0.017510

Magnitude

C/1957 P1 (Mrkos) · Magnitude (Full range)

C/1957 P1 (Mrkos) · Magnitude (Highlight period)

Scatter + Global Linear

$$ M_a = (4.429 + 3.219\cdot 2.5\log_{10} r) + \epsilon - 2.5\log_{10}\Phi(\theta) + 5\log_{10}\Delta $$ $$ \theta = 180^\circ - \alpha $$ $$ \Phi(\theta) = \frac{\delta_{90} D(\theta) + 1}{\delta_{90} + 1},\quad D(\theta) = k\cdot \Phi_{HG}(\theta; g_f) + (1-k)\cdot \Phi_{HG}(\theta; g_b) $$ $$ \Phi_{HG}(\theta; g) = \left(\frac{1+g^2}{1+g^2-2g\cos\theta}\right)^{3/2},\quad \Phi_{HG}(90^\circ)=1 $$

Model Parameters

Parameter Value
H0 4.429
n 3.219
gf 0.800
gb -0.500
k 0.800
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
1957-08-02 1957-09-16 -1.5729 -0.263
1957-09-16 1958-07-09 +11.5497 -1.367

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

Ephemeris

Date/Time (UTC) RA (J2000) Dec (J2000) Nearest HIP Dist from HIP (arcmin)
2026-07-29 00:00 15:32:31.72 -53:54:52.7 HIP 75778 32.77
2026-07-29 12:00 15:32:31.02 -53:54:41.3 HIP 75778 32.67
2026-07-30 00:00 15:32:30.34 -53:54:29.9 HIP 75778 32.58
2026-07-30 12:00 15:32:29.67 -53:54:18.5 HIP 75778 32.49
2026-07-31 00:00 15:32:29.02 -53:54:07.1 HIP 75778 32.40
2026-07-31 12:00 15:32:28.38 -53:53:55.7 HIP 75778 32.32
2026-08-01 00:00 15:32:27.77 -53:53:44.2 HIP 75778 32.24
2026-08-01 12:00 15:32:27.17 -53:53:32.8 HIP 75778 32.16
2026-08-02 00:00 15:32:26.58 -53:53:21.5 HIP 75778 32.09
2026-08-02 12:00 15:32:26.02 -53:53:10.1 HIP 75778 32.02
2026-08-03 00:00 15:32:25.47 -53:52:58.7 HIP 75778 31.96
2026-08-03 12:00 15:32:24.94 -53:52:47.3 HIP 75778 31.90
2026-08-04 00:00 15:32:24.43 -53:52:35.9 HIP 75778 31.84
2026-08-04 12:00 15:32:23.93 -53:52:24.6 HIP 75778 31.79
2026-08-05 00:00 15:32:23.45 -53:52:13.2 HIP 75778 31.74
2026-08-05 12:00 15:32:22.99 -53:52:01.9 HIP 75778 31.69
2026-08-06 00:00 15:32:22.55 -53:51:50.6 HIP 75778 31.65
2026-08-06 12:00 15:32:22.12 -53:51:39.3 HIP 75778 31.61
2026-08-07 00:00 15:32:21.71 -53:51:28.0 HIP 75778 31.58
2026-08-07 12:00 15:32:21.32 -53:51:16.7 HIP 75778 31.55
2026-08-08 00:00 15:32:20.95 -53:51:05.4 HIP 75778 31.52
2026-08-08 12:00 15:32:20.60 -53:50:54.2 HIP 75778 31.50
2026-08-09 00:00 15:32:20.26 -53:50:43.0 HIP 75956 31.39
2026-08-09 12:00 15:32:19.94 -53:50:31.8 HIP 75956 31.20
2026-08-10 00:00 15:32:19.64 -53:50:20.6 HIP 75956 31.01
2026-08-10 12:00 15:32:19.35 -53:50:09.4 HIP 75956 30.83
2026-08-11 00:00 15:32:19.09 -53:49:58.2 HIP 75956 30.64
2026-08-11 12:00 15:32:18.84 -53:49:47.1 HIP 75956 30.46
2026-08-12 00:00 15:32:18.61 -53:49:36.0 HIP 75956 30.28
2026-08-12 12:00 15:32:18.40 -53:49:24.9 HIP 75956 30.10
2026-08-13 00:00 15:32:18.20 -53:49:13.8 HIP 75956 29.92
2026-08-13 12:00 15:32:18.03 -53:49:02.8 HIP 75956 29.75
2026-08-14 00:00 15:32:17.87 -53:48:51.8 HIP 75956 29.57
2026-08-14 12:00 15:32:17.73 -53:48:40.8 HIP 75956 29.40
2026-08-15 00:00 15:32:17.61 -53:48:29.9 HIP 75956 29.23
2026-08-15 12:00 15:32:17.50 -53:48:18.9 HIP 75956 29.06
2026-08-16 00:00 15:32:17.42 -53:48:08.0 HIP 75956 28.89
2026-08-16 12:00 15:32:17.35 -53:47:57.2 HIP 75956 28.73
2026-08-17 00:00 15:32:17.30 -53:47:46.3 HIP 75956 28.56
2026-08-17 12:00 15:32:17.26 -53:47:35.5 HIP 75956 28.40
2026-08-18 00:00 15:32:17.25 -53:47:24.7 HIP 75956 28.24
2026-08-18 12:00 15:32:17.25 -53:47:14.0 HIP 75956 28.08
2026-08-19 00:00 15:32:17.27 -53:47:03.3 HIP 75956 27.93