Double planet

Visual comparison of the sizes of Earth and the Moon (above right) and Pluto–Charon (below right)

In astronomy, double planet (also binary planet) is a binary system where both objects are of planetary mass. The term is not recognized by the International Astronomical Union and is therefore not an official classification. At its 2006 General Assembly, the International Astronomical Union considered a proposal that Pluto and Charon be reclassified as a double planet,^[1] but the proposal was abandoned in favor of the current definition of planet. In promotional materials advertising the SMART-1 mission and pre-dating the IAU planet definition, the European Space Agency once referred to the Earth–Moon system as a double planet.^[2]

Some binary asteroids with components of roughly equal mass are sometimes informally referred to as double minor planets. These include binary asteroids 69230 Hermes and 90 Antiope and binary Kuiper belt objects (KBOs) 79360 Sila–Nunam and 1998 WW31.

Definition of "double planet"

The Pluto–Charon system is closer to binary than the Earth–Moon system (distance not to scale).

The Earth–Moon system is sometimes informally referred to as a double planet (masses are roughly proportional to volumes, not surface area).^[2]

There is debate as to what criteria should be used to distinguish "double planet" from a "planet–moon system". The following are considerations.

Both bodies satisfy planet criterion

A definition proposed in the Astronomical Journal calls for both bodies to individually satisfy an orbit-clearing criterion in order to be called a double planet.^[3]

Mass ratios closer to 1

One important consideration in defining "double planet" is the ratio of the masses of the two bodies. A mass ratio of 1 would indicate bodies of equal mass, and bodies with mass ratios closer to 1 are more attractive to label as "doubles." Using this definition, the satellites of Mars, Jupiter, Saturn, Uranus, and Neptune can all easily be excluded; they all have masses less than 0.00025 (¹⁄₄₀₀₀) of the planets around which they revolve. Some dwarf planets, too, have satellites substantially less massive than the dwarf planets themselves.

The most notable exception is the Pluto–Charon system. The Charon-to-Pluto mass ratio of 0.117 (≈ ²⁄₁₇) is close enough to 1 that Pluto and Charon have frequently been described by many scientists as "double dwarf planets" ("double planets" prior to the 2006 definition of "planet"). The International Astronomical Union (IAU) currently calls Charon a satellite of Pluto, but has explicitly expressed a willingness to reconsider the bodies double dwarf planets at a future time.

The Moon-to-Earth mass ratio of 0.01230 (≈ ¹⁄₈₁) is also notably close to 1 when compared to all other satellite-to-planet ratios. Consequently, some scientists view the Earth-Moon system as a double planet as well, though this is a minority view. Eris's lone satellite, Dysnomia, has a radius somewhere around 1/4 that of Eris; assuming similar densities (Dysnomia's compositional make-up may or may not differ substantially from Eris's), the mass ratio would be near ¹⁄₄₀, a value intermediate to the Moon/Earth and Charon/Pluto ratios.

The next criteria both attempt to answer the question "How close to 1 must the mass ratio be?"

Pluto–Charon system: the barycenter lies outside of Pluto.

Center-of-mass position

Currently, the most commonly proposed definition for a double-planet system is one in which the barycenter, around which both bodies orbit, lies outside both planets (or dwarf planets). Under this definition, Pluto and Charon are double (dwarf) planets, since they orbit a point clearly outside of Pluto, as visible in animations created from images of the New Horizons space probe in June 2015.

Under this definition, the Earth–Moon system is not currently a double planet; although the Moon is massive enough to cause the Earth to make a noticeable revolution around this center of mass, this point nevertheless lies well within Earth. However, the Moon migrates outward from Earth at a rate of approximately 3.8 cm (1.5 in) per year; in a few hundred million years, the Earth–Moon system's center of mass will lie outside Earth, which would make it a double-planet system.

It is interesting to note that the center of mass of the Jupiter–Sun system lies outside the surface of the Sun, though arguing that Jupiter is a double star is not analogous to arguing Charon is a double planet; the problem is that one cannot argue that Jupiter is even a star—even a brown dwarf—due to its low mass and associated inability to support any type of fusion.^[4]

Tug-of-war value

Isaac Asimov suggested a distinction between planet–moon and double-planet structures based in part on what he called a "tug-of-war" value, which does not consider their relative sizes.^[5] This quantity is simply the ratio of the force exerted on the smaller body by the larger (primary) body to the force exerted on the smaller body by the Sun. This can be shown to equal

$\text{tug-of-war value} = \frac{m_p}{m_s} \cdot \left( \frac{d_s}{d_p} \right)^2$

where m_p is the mass of the primary (the larger body), m_s is the mass of the Sun, d_s is the distance between the smaller body and the Sun, and d_p is the distance between the smaller body and the primary.^[5] Note that the tug-of-war value does not rely on the mass of the satellite (the smaller body).

This formula actually reflects the relation of the gravitational effects on the smaller body from the larger body and from the Sun. The tug-of-war figure for Saturn's moon Titan is 380, which means that Saturn's hold on Titan is 380 times as strong as the Sun's hold on Titan. Titan's tug-of-war value may be compared with that of Saturn's moon Phoebe, which has a tug-of-war value of just 3.5. So Saturn's hold on Phoebe is only 3.5 times as strong as the Sun's hold on Phoebe.

Asimov calculated tug-of-war values for several satellites of the planets. He showed that even the largest gas giant, Jupiter, had only a slightly better hold than the Sun on its outer captured satellites, some with tug-of-war values not much higher than one. In nearly every one of Asimov's calculations the tug-of-war value was found to be greater than one, so in those cases the Sun loses the tug-of-war with the planets. The one exception was Earth's Moon, where the Sun wins the tug-of-war with a value of 0.46, which means that Earth's hold on the Moon is less than half that of the Sun's. Asimov included this with his other arguments that Earth and the Moon should be considered a binary planet.^[5]

We might look upon the Moon, then, as neither a true satellite of the Earth nor a captured one, but as a planet in its own right, moving about the Sun in careful step with the Earth. From within the Earth–Moon system, the simplest way of picturing the situation is to have the Moon revolve about the Earth; but if you were to draw a picture of the orbits of the Earth and Moon about the Sun exactly to scale, you would see that the Moon's orbit is everywhere concave toward the Sun. It is always "falling toward" the Sun. All the other satellites, without exception, "fall away" from the Sun through part of their orbits, caught as they are by the superior pull of their primary planets – but not the Moon.^{[5][6][Footnote 1]}

— Isaac Asimov

See the Path of Earth and Moon around Sun section in the "Orbit of the Moon" article for a more detailed explanation.

Note that this definition of double planet depends on the pair's distance from the Sun. If the Earth–Moon system happened to orbit farther away from the Sun than it does now, then Earth would win the tug of war. For example, at the orbit of Mars, the Moon's tug-of-war value would be 1.05. Also, several tiny moons discovered since Asimov's proposal would qualify as double planets by this argument. Neptune's small outer moons Neso and Psamathe, for example, have tug-of-war values of 0.42 and 0.44, less than that of Earth's Moon. Yet their masses are tiny compared to Neptune's, with an estimated ratio of 1.5×10⁻⁹ (¹⁄_700,000,000) and 0.4×10⁻⁹ (¹⁄_{2,500,000,000}).

Formation of the system

A final consideration is the way in which the two bodies came to form a system. Both the Earth-Moon and Pluto-Charon systems formed as a result of giant impacts: one body was impacted by a second body, resulting in a debris disk, and through accretion, either two new bodies formed or one new body formed, with the larger body remaining (but changed). However, a giant impact is not a sufficient condition for two bodies being "double planets" because such impacts can also produce tiny satellites, such as the four, small, outer satellites of Pluto.

A now-abandoned hypothesis for the origin of the Moon was actually called the "double-planet hypothesis"; the idea was that the Earth and the Moon formed in the same region of the solar system's proto-planetary disk, forming a system under gravitational interaction. This idea, too, is a problematic condition for defining two bodies as "double planets" because planets can "capture" moons through gravitational interaction. For example, the moons of Mars (Phobos and Deimos) are thought to be asteroids captured long ago by Mars. Such a weak definition would also deem Neptune-Triton a double planet, since Triton was a Kuiper belt body the same size and of similar composition to Pluto, later captured by Neptune.

See also

• 2006 definition of planet
• 3753 Cruithne
• Co-orbital configuration
• Definition of a planet
• Ecliptic
• Hill sphere
• Natural satellite
• Orbit of the Moon

Footnotes

1. Asimov uses the term "concave" to describe the Earth–Moon orbital pattern around the Sun, whereas Aslaksen uses "convex" to describe the exact same pattern. Which term one uses relies solely upon the perspective of the observer. From the point-of-view of the Sun, the Moon's orbit is concave; from outside the Moon's orbit, say, from planet Mars, it is convex.

Notes

1. "The IAU draft definition of "planet" and "plutons"". International Astronomical Union. 2006-08-16. Retrieved 2008-05-17.
2. "Welcome to the double planet". ESA. 2003-10-05. Retrieved 2009-11-12.
3. Margot, J.L. "A Quantitative Criterion for Defining Planets". Astronomical Journal 150: 185. arXiv:1507.06300. Bibcode:2015AJ....150..185M. doi:10.1088/0004-6256/150/6/185.
4. Herbst, T. M.; Rix, H.-W. (1999). Guenther, Eike; Stecklum, Bringfried; Klose, Sylvio, ed. Star Formation and Extrasolar Planet Studies with Near-Infrared Interferometry on the LBT. San Francisco, Calif.: Astronomical Society of the Pacific. pp. 341–350. Bibcode:1999ASPC..188..341H. ISBN 1-58381-014-5.
5. Asimov, Isaac (1975). "Just Mooning Around", collected in Of Time and Space, and Other Things. Avon. Formula derived on p. 89 of book. p. 55 of .pdf file. Retrieved 2012-01-20.
6. Aslaksen, Helmer (2010). "The Orbit of the Moon around the Sun is Convex!". National University of Singapore: Department of Mathematics. Retrieved 2012-01-23.

References

• Stern, S. Alan (27 February 1997). "Clyde Tombaugh (1906–97) Astronomer who discovered the Solar System's ninth planet". Nature 385 (6619): 778. Bibcode:1997Natur.385..778S. doi:10.1038/385778a0 Pluto–Charon is "the only known example of a true double planet".
• Lissauer, Jack J. (25 September 1997). "It's not easy to make the Moon". Nature 389 (6649): 327–328. Bibcode:1997Natur.389..327L. doi:10.1038/38596 Compares the double-planet theories of Earth–Moon and Pluto–Charon formations.

Further reading

• Asimov, Isaac (1960). The Double Planet. New York: Abelard-Schuman.
• Asimov, Isaac (1990). Pluto: A Double Planet?. Milwaukee: G. Stevens. ISBN 9781555323738.
• Cabrera, J.; Schneider, J. (2007). "Detecting companions to extrasolar planets using mutual events". Astronomy and Astrophysics 464 (3): 1133–1138. arXiv:astro-ph/0703609. Bibcode:2007A&A...464.1133C. doi:10.1051/0004-6361:20066111.