Asteroid (4337) Arecibo: Two ice-rich bodies forming a binary - Based on Gaia astrometric data

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Table 1.

Fitted and derived parameters for the relative orbit of the Arecibo binary.

Parameters		Value
Orbital parameters
Semi-major axis [km]	a	$46 . 8_{- 2.0}^{+ 1.8}$ $46.8^{+1.8}_{-2.0}$
Eccentricity	e	$0 . 06_{- 0.04}^{+ 0.04}$ $0.06^{+0.04}_{-0.04}$
Longitude of ascending node [deg]	Ω	$357_{- 6}^{+ 6}$ $357^{+6}_{-6}$
Inclination [deg]	i	$27_{- 3}^{+ 3}$ $27^{+3}_{-3}$
Argument of pericentre [deg]	ω	$233_{- 44}^{+ 44}$ $233^{+44}_{-44}$
Pericentre passed time ^(a) [day]	t₀	$0 . 39_{- 0.16}^{+ 0.16}$ $0.39^{+0.16}_{-0.16}$
Period [h]	T	$32 . 9741_{- 0.0004}^{+ 0.0004}$ $32.9741^{+0.0004}_{-0.0004}$

Reference parameters ^(b)
1st spin pole solution [deg]	[λ, β]	$[269_{- 3}^{+ 3}, 62_{- 2}^{+ 2}]$ $[269^{+3}_{-3}, 62^{+2}_{-2}]$
2nd spin pole solution [deg]	[λ, β]	$[71_{- 3}^{+ 3}, 63_{- 2}^{+ 2}]$ $[71^{+3}_{-3}, 63^{+2}_{-2}]$
Spin period [h]	P	32.974

Derived parameters
Longitude of orbital pole [deg]	λ	$267_{- 6}^{+ 6}$ $267^{+6}_{-6}$
Latitude of orbital pole [deg]	β	$63_{- 3}^{+ 3}$ $63^{+3}_{-3}$
Flux ratio	f	0.11 ^(c)
Mass ratio	q	0.05 ^(c)
Wobble amplitude ^(e) [mas]	w	$0 . 053_{- 0.005}^{+ 0.005}$ $0.053^{+0.005}_{-0.005}$
Total mass [10¹⁵ kg]	M	$4 . 3_{- 0.5}^{+ 0.5}$ $4.3^{+0.5}_{-0.5}$
Primary mass [10¹⁵ kg]	M₁	4.1 ^(c)
Secondary mass [10¹⁵ kg]	M₂	0.2 ^(c)
Primary density [kg/m³]	ρ₁	1200 ^(d)
Secondary density [kg/m³]	ρ₂	1600 ^(d)

Notes. The pole and parameters are given in the J2000 ecliptic frame; the error bars correspond to the 16th and 84th percentiles.

^(a)

The reference epoch is JD 2456877.70264 (UTC).

^(b)

Solutions from Ďurech & Hanuš (2023). The uncertainty of the rotation period P is of the order of the last decimal place.

^(c)

The results here are drawn from the posterior distribution of f and s; see Sect. 4.

^(d)

Considering an effective size from WISE.

^(e)

Unsolved astrometric wobble amplitude.

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