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A Meta-Analysis of Coordinate Systems and Bibliography of Their Use on Pluto from Charon’S Discovery to the Present Day ⇑ Amanda Zangari

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A Meta-Analysis of Coordinate Systems and Bibliography of Their Use on Pluto from Charon’S Discovery to the Present Day ⇑ Amanda Zangari Icarus 246 (2015) 93–145 Contents lists available at ScienceDirect Icarus journal homepage: www.elsevier.com/locate/icarus A meta-analysis of coordinate systems and bibliography of their use on Pluto from Charon’s discovery to the present day ⇑ Amanda Zangari Southwest Research Institute, 1050 Walnut St, Suite 300, Boulder, CO 80302, United States Department of Earth, Atmospheric and Planetary Science, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, United States article info abstract Article history: This paper aims to alleviate the confusion between many different ways of defining latitude and Received 21 January 2014 longitude on Pluto, as well as to help prevent future Pluto papers from drawing false conclusion due Revised 15 October 2014 to problems with coordinates. In its 2009 meeting report, the International Astronomical Union Working Accepted 21 October 2014 Group on Cartographic Coordinates and Rotational Elements redefined Pluto coordinates to follow a Available online 4 November 2014 right-handed system (Archinal, B.A., et al. [2011a]. Celest. Mech. Dynam. Astron. 109, 101–135; Archinal, B.A., et al. [2011b]. Celest. Mech. Dynam. Astron. 110, 401–403). However, before this system was Keywords: redefined, both the previous system (defining the north pole to be north of the invariable plane), and Pluto the ‘‘new’’ system (the right-hand rule system) were commonly used. A summary of major papers on Charon Pluto, surface Pluto and the system each paper used is given. Several inconsistencies have been found in the literature. The vast majority of papers and most maps use the right-hand rule, which is now the IAU system and the system recommended here for future papers. Ó 2014 The Author. Published by Elsevier Inc. This is an open access article under the CC BY-NC-SA license (http://creativecommons.org/licenses/by-nc-sa/3.0/). 1. Introduction and Motivation 1996). Thus, New Horizons will image Pluto’s surface as it will be in 2015, a single snapshot. All data taken before, since or after will The New Horizons spacecraft will provide the first close-up look be compared to the New Horizons data set. of Pluto on 2015-07-14. The LORRI instrument will map the surface A proper comparison requires the knowledge of both the loca- at scales as fine as 70 meters during closest approach (Young et al., tion of the New Horizons observations and the position of Pluto 2008b), bringing to Earth images of a planetary surface described as seen from the ground at the time the measurements were made. as the ‘‘second most contrastive extraterrestrial surface in the Solar In theory, the definitions of longitude and latitude on Pluto, as for System’’ (Tholen and Buie, 1997a). Before the approach of the New all major planets, minor planets and dwarf planets are made by the Horizons spacecraft, clever solutions have been used to make some IAU Working Group on Cartographic Coordinates and Rotational sense of this barely resolvable planet, including exploiting the Elements, which meets every three years. In practice, the ‘‘official’’ mutual events (Young et al., 2001a), matrix inversion of decades’ way to define coordinates has often been ignored, and when worth of light curves (Drish et al., 1995) and eking out variations updated, ignored again in favor of the previous system. Thus in the surface brightness across the handful of pixels that comprise throughout the literature, each pole of Pluto has been identified the most detailed view of Pluto as seen from the Hubble Space as north and three major methods have been used to identify Telescope (Buie et al., 2010b). Observations at different times and rotational phase or less primitively, longitude. Such variance in different sub-Earth locations have shown that Pluto’s surface coordinate system choice is not necessarily problematic when varies not only spatially, but temporally (Drish et al., 1995). As the coordinate system is clearly defined, but coordinate confusion Pluto journeys from a perihelion of 29.6 AU to 48.9 AU and its high can easily be created. Somewhat problematically, a paper can obliquity creates a century of winter for each hemisphere, Pluto’s define its coordinate system in the text, but present the latitudes atmosphere undergoes periods of expansion and decline, and frost and longitudes in an opposite manner. Other papers present new is deposited on the surface with the seasons (Hansen and Paige, observations of Pluto, but when comparing results to previous work, fail to accommodate for the difference in coordinates systems. Such mistakes can result in faulty conclusions. ⇑ Address: Southwest Research Institute, 1050 Walnut St, Suite 300, Boulder, CO This paper aims to alleviate coordinate confusion surrounding 80302, United States. E-mail address: [email protected] discourse on Pluto by doing the following: http://dx.doi.org/10.1016/j.icarus.2014.10.040 0019-1035/Ó 2014 The Author. Published by Elsevier Inc. This is an open access article under the CC BY-NC-SA license (http://creativecommons.org/licenses/by-nc-sa/3.0/). 94 A. Zangari / Icarus 246 (2015) 93–145 1. Chronicle the history of the use of cartographic coordinates to the east. East is defined not to be the direction in which the Sun describe locations on Pluto, and detail the IAU recommenda- rises, but the direction to the right of an observer facing north. tions throughout time. Indeed, if a planet has retrograde rotation, then the planetographic 2. Provide clear definitions of all coordinate systems used to and planetocentric longitudes are the same.1 The 1979 report describe locations on Pluto and explain methods for recognition defines a pole, longitude zero and rotation rate for Pluto: Pluto’s pole of coordinate systems. is given as a0 = 305°, d0 =5 . The ephemeris position of Pluto’s prime 3. Index papers, books and major technologies that use each coor- meridian is given as W = 360.0–56.367 d. Despite the fact that dinate system or none at all. Charon had been discovered, the prime meridian was arbitrarily 4. Identify ambiguities and errors in the literature and correct chosen to coincide with the epoch of B1950.0. The negative value them where possible. of W_ indicates retrograde rotation – the source of almost all the 5. Identify trends in coordinate use. coordinate woes. Charon’s (called S/1978 P1) pole is noted to point 6. Warn the reader of Pluto literature to be wary of potential in the same direction as Pluto’s pole with no rotation period given problems. (Davies et al., 1980). 7. Suggest data presentation methods and clear language that will The IAU Working group has met every three years since the first avoid future errors. meeting in 1979. Table 1 gives a list of each meeting, the Pluto pole 8. Advocate for a unified coordinate system to be used in future position, rotation rates, Pluto radius, and a citation for the meeting work, including data collected by the New Horizons spacecraft report. Minor revisions were made to Pluto’s pole position from based on what is most appropriate given the current body of 1980 until 2006; the coordinates were adjusted to the J2000.0 literature on Pluto, here the right-hand rule. epoch and the pole position has been updated a small handful of times. In 1991, the pole position was updated to use the sub- 2. History of coordinates on Pluto Charon meridian as the prime meridian (Davies et al., 1992). Before the prime meridian redefinition, no published paper ever counted Up until the first determination of Pluto’s rotational period by back to the epoch of 1950 to determine Pluto’s prime meridian. Walker and Hardie (1955), very little was known about Pluto. Rather, papers that noted a longitude on Pluto had always chosen Much of the research in the 25 years since Tombaugh’s 1930 the sub-Charon meridian. In fact, all the recommendations by the discovery had been related to astrometry. ‘‘Finally, someone had IAU working group were almost completely ignored. obtained a concrete observational result about the planet’’, notes Instead of longitude, different times of Pluto’s day were Marcialis (1997b) of the discovery. Walker and Hardie (1955) matched up using rotational phase. Rotational phase spans from found Pluto’s brightness varied by 0.1 magnitude over 6.39 d. This 0 to 1 and indicates the modulo fraction of an rotation an object first light curve was plotted as a function of rotational phase, which has undergone since a certain epoch, usually given in Julian date. extended from 0 to 1. The zero point was arbitrarily chosen such The choice of epoch of Walker and Hardie (1955) was for ‘‘conve- that V = 14.90 (in the period where Pluto’s light was rapidly nience’’, later papers chose one of two very similar zero points. decreasing), marked the zero epoch. Minimum light was at a phase The two most common places to define the zero point of Pluto’s of roughly 0.2. The authors speculate that such a ‘‘large’’ light curve rotational phase are light-curve minimum, and greatest northern amplitude must be due to an equator-on position of Pluto. In real- elongation of Charon (see Fig. 1). By a coincidence that Richard P. ity, it would be three more decades until Pluto would be viewed Binzel states that astronomers have largely ‘‘gotten over’’, these equator-on from Earth. The amplitude of Pluto’s light curve, which two points are different by just a few hours (Binzel, personal com- is produced by albedo variations and not shape, was at its most munication, 2012). dramatic when seen equator-on during the mutual events from Rotational phase can be problematic for several reasons.
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