Hati (S/2004 S 14)

back to Outer Saturnian Moons

Hati is ∼5 kilometers in size and thus a small irregular moon of Saturn. It has been discovered in 2004 joint with eleven other outer moons. Hati’s mean distance to Saturn is ∼20 million kilometers, with one revolution around the planet on a retrograde orbit requiring 2 years, 10 months and 1 week.
From our Cassini measurements, the rotation period was determined to 5 h and 27 min ± 2½ min. This is not only the fastest rotation found among Saturn’s moons, but also the fastest reliably known period of any moon in our Solar System (as of mid-2018). The Hati lightcurve shows a large brightness variation, indicative for a quite elongated shape of this moon.

Table of contents

(1) Astronomical and physical properties

Fig. (middle): From the 2-panel mosaics in orbit 182 on 28 Feb and 01 Mar 2013, all images of the 1st “footprint” were co-added, as were all of the 2nd. The resulting ‘image 1’ was then divided by ‘image 2’. The fuzzy black spot reveals Hati’s position near the edge of the 2nd footprint.

This page is intended to compile (much of) our knowledge of Hati in compact form. Its main focus will lie on the documentation of my Cassini-ISS work (observation planning and data analysis), but will also provide general information obtained from other work, like discovery circumstances and orbital and physical parameters. It will not include the raw data (images or spectra) taken by the Cassini spacecraft, these are available at NASA’s Planetary Data System (PDS). For further reading on Hati and on irregular moons of Saturn in general, see the reference list at my outer-Saturnian moons page.

This website is still in the early stages of development. As soon as papers will be reviewed or other information will be processed appropriately, more content will be added. I will remove this note when the page will be close to completion.

Last update: 29 Oct 2018 — page content is best displayed on a screen at least 1024 pixels wide


(1) Astronomical and physical properties

Moon name Saturn range Orbit period Orbit direction Size Rotation period Discovery year
Hati
 million km
 years
retrograde
∼ 
 km
 h 
 min
2004

Basic information about Hati is offered in tabular form:
(1A) Designations and discovery circumstances
(1B) Orbit parameters
(1C) Physical parameters (body properties)
← Tables (1A) to (1C) in text format

Most fundamental values are highlighted in red. The notes offer explanations, calculations, accuracies, references, etc. The data were obtained from spacecraft as well as from ground-based observations.

(1A) Designations and discovery circumstances
Moon name(1) Hati IAU number(3) Saturn XLIII First observation date(7) 12 Dec 2004
Moon abbrev. (TD)(2) Hat Provisional desig.(4) S/2004 S 14 Announcement date(7) 04 May 2005
SPICE ID(5) 643 IAU circ. announcement(7) no. 8523
Also-used label(6) S43 Discoverers(8) D. Jewitt et al.

Notes for Table 1A:

(1) Hati’s name was announced on 05 Apr 2007 in IAU circ. 8826. It was named after Hati Hróðvitnisson, a giant wolf from Norse mythology, son of Fenrir and twin brother of Sköll, who chases the moon across the night sky.

(2) I use this 3-letter abbreviation in the diagrams of my publications simply for practicability reasons. These have no offcial character.

(3) Moon numbers are assigned by the International Astronomical Union (IAU)’s Committee for Planetary System Nomenclature. For satellites, Roman numeral designations are used.

(4) Designation given to the object in the first announcement; the guidelines are explained here.

(5) SPICE is a commonly-used information system of NASA’s Navigation and Ancillary Information Facility (NAIF). It assists engineers in modeling, planning, and executing planetary-exploration missions, and supports observation interpretation for scientists. Each planet and moon obtained a unique SPICE number.

(6) ‘S’ for ‘Saturnian moon’ plus the roman numeral designation in arabic numbers are often-used labels for satellites. Not sure how official that is.

(7) The date of the photography wherein the object was spotted for the first time is given in the IAU circular released on the announcement date.

(8) The discoverer team included: David Jewitt, Scott Sheppard, and Jan Kleyna.

(1B) Orbit parameters
Orbit direction(1) retrograde Group member(2) Norse Dynamical family(3) Mundilfari
Periapsis range(4) 12.50 ⋅ 106 km Semi-major axis(5) 19.87 ⋅ 106 km Apoapsis range(6) 27.24 ⋅ 106 km
Semi-major axis(7) 329 R Semi-major axis(8) 0.133 au Semi-major axis(9) 0.30 RHill
Orbit eccentricity(10) 0.37 Orbit inclination(11) 165.8° Inclination supplemental angle(12) 14.2°
Orbital period(13) 1040 d Orbital period(14) 2 y 10 m ¾ w Mean orbit velocity(15) 1.38 km/s

Notes for Table 1B:

(1) Prograde (counterclockwise as seen from north) or retrograde (clockwise as seen from north)

(2) Norse, Inuit, or Gallic

(3) Classification based on the a,e,i space in Fig. 1 and Table 2 in Denk et al. (2018)

(4) $r_{Peri}=a\cdot(1-e)$

(5) Orbit semi-major axis a, from Table 2 in Denk et al. (2018)

(6) $r_{Apo}=a\cdot(1+e)$

(7) Saturn radius R = 60330 km (100 mbar level)

(8) Astronomical Unit 1 au = 149 597 870.7 km

(9) Saturn’s Hill sphere radius $R_{Hill}=\sqrt[3]{m_♄/3m_☉}\cdot r_{♄↔☉}$= ∼65 ⋅ 106 km = ∼1085 R♄ = ∼3° as seen from Earth at opposition (with mass of Saturn m = 5.6836 ⋅ 1026 kg and perihel range Saturn↔Sun r♄↔ = 1.353 ⋅ 109 km)

(10) Orbit eccentricity e, from Table 2 in Denk et al. (2018)

(11) Orbit inclination i, from Table 2 in Denk et al. (2018)

(12) Orbit “tilt” or inclination supplemental angle i’ = i for prograde moons; i’ = 180°−i for retrograde moons

(13) From the Planetary Satellite Mean Orbital Parameters page of JPL’s solar system dynamics website

(14) Value from (13) in units of years, months, weeks

(15) $v=\sqrt{Gm_♄/a}$ (Gravitational constant G = 6.6741 ⋅ 10−20 kmkg−1 s−2 )

(1C) Physical parameters
Mean size(1) 5 $^{+1½}_{−¾}$ km Min. equatorial axes ratio(4) 1.42 Mass(6) ∼ 3 ⋅ 1013 kg
Mean radius(2) ∼ 2.4 km Axes radii (a × b × c)(5) unknown Mean density(7) 0.5 g/cm3 (?)
 Equatorial circumference(3)  ∼ 15 km Surface escape velocity(8) ∼ 3 km/h
Rotation period(9) 5.45 h +/- (9) 0.04 h Spin rate(9) 4.40 d−1
Spin direction(10) unknown Pole dir. (ecliptic longitude λ)(12) unknown Pole direction (geocentric, RA)(13) unknown
Seasons(11) unknown Pole dir. (ecliptic latitude β)(12)  unknown Pole direction (geocentric, Dec)(13)  unknown
Absolute visual magnitude(14) ∼ 15.3 mag Apparent vis. mag. from Earth(15) 24.4 mag Best apparent mag. for Cassini(16) 15.3 mag
Color(17) unknown Albedo(18) 0.06 (?)
Hill sphere radius(19) ∼ 320 km Hill sphere radius(20) ∼ 130 rHat

Notes for Table 1C:

(1) Determined from absolute visual magnitude H (see note (14)). The conversion from H to size (diameter of a reference sphere) was calculated through $D=1 \text{ au}\cdot \frac{2}{\sqrt{A}}\cdot 10^{−0.2·(H−M_☉)}$; with solar apparent V magnitude M = −26.71 ± 0.02 mag and Astronomical Unit 1 au = 149 597 870.7 km. For Hati’s albedo, see note (18). Due to the uncertain input values, a size determined this way may be uncertain to ∼ −15/+30% (for A ± 0.02 and H ± 0.1).

(2) Half the diameter value. While the diameter is the intuitive size number, the radius r is mainly used in formulas to calculate other quantities. Important: While the given number is the formal result from the equation of note (1), the true precision is much lower (also see note (1)).

(3) Estimated under assumption of a circular equatorial circumference.

(4) Determined from the range between minima and maxima of a lightcurve obtained at low phase angle (from Table 3 in Denk et al. (2018)).

(5) Here, a is the long equatorial, b the short equatorial, and c the polar axis dimension of the reference ellipsoid. Unknown because no shape model is available yet.

(6) The mass is a very rough guess, estimated through density ρ and volume $\frac{4\pi}{3}r^3$; see notes (7) and (2).

(7) The density of Hati is not known, the given number is speculative. There are indications from other Saturnian irregular moons that these objects have quite low densities (well below 1 g/cm3), similar to comets or some of the inner small moons of Saturn. However, a higher density, maybe up to 2.5 g/cm3, cannot be ruled out.

(8) $v_{esc}=\sqrt{\frac{2GM}{R}}$; very rough guess as well since it depends on Hati’s mass (note (6)) and radius (notes (1) and (2)) which are not well known. = 6.674 · 1011 mkg−1 s−2 (Gravitational constant).

(9) Rotation period P and error determined with Cassini data; from Table 3 in Denk and Mottola (2018). See the lightcurves section below for details. The spin rate is 24/P, measured in units of one per day.

(10) Valid entries: Prograde (counterclockwise as seen from north), retrograde (clockwise as seen from north), ‘lying on the side’ (pole direction almost perpenticular to ecliptic pole), or ‘unknown’.

(11) Valid entries: “None” (rotation axis points close to one of the ecliptic poles), “moderate” (rotation axis is moderately tilted), or “extreme” (rotation axis is highly tilted, points somewhere close to the ecliptic equator), or ‘unknown’.

(12) —

(13)

(14) From Table 2 in Denk et al. (2018); the number may be uncertain by several tenths of magnitude. The absolute visual magnitude HV is the magnitude (brightness) of an object (in the visible wavelength range) if located 1 au away from the sun and observed at 0° phase angle (i.e., in this definition, the observer virtually sits at the center of the sun). The magnitude scale is logarithmic, with an object of 6th mag being 100x darker than a 1st mag object.

(15) Apparent visual magnitude V; from Table 2 in Denk et al. (2018).

(16) From Table 2 in Denk and Mottola (2018). Given is the best apparent magnitude as seen from Cassini at a time when an observation took place.

(17)

(18) Might vary by ±0.03; see discussions in Grav et al. (2015) and Denk et al. (2018).

(19) Hill radius at periapsis under the assumption of the given density (see note (7)). The number would be larger for a higher density, or lower for a lower density.

(20) Hill radius at periapsis in Fornjot-radius units. With $R_{Hill}=\sqrt[3]{4\pi\rho_{Hat}/9m_♄}\cdot r_{Hat↔♄}$, this number only depends on the object’s distance to the central body (Saturn; linear dependency) and on the object’s density (proportional to the cubic root; see also note (7)).


© Tilmann Denk (2018)