Mab’s orbital motion explained

Kumar, K.; Pater, Imke de; Showalter, M. R.

doi:10.1016/j.icarus.2015.03.002

Cited by 6 publications

(7 citation statements)

References 19 publications

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“…Thus, an essential part of the dynamics that determines the orbit of Mab would have been allegedly overlooked so far. 137,138 The action of a hypothetical ring of undetected moonlets in its neighborhood was proposed 137,138 as a possible solution in terms of conventional gravitational physics. Further studies will be required to assess the viability of such a proposed explanation by investigating, in particular, the long-term stability of such a possible perturber ring.…”

Section: A Gravitational Anomaly In the Uranian System Of Natural Sat...mentioning

confidence: 99%

Gravitational anomalies in the solar system?

Iorio

2015

Int. J. Mod. Phys. D

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Mindful of the anomalous perihelion precession of Mercury discovered by U. Le Verrier in the second half of the nineteenth century and its successful explanation by A. Einstein with his General Theory of Relativity in the early years of the twentieth century, discrepancies among observed effects in our Solar system and their theoretical predictions on the basis of the currently accepted laws of gravitation applied to known matter-energy distributions have the potential of paving the way for remarkable advances in fundamental physics. This is particularly important now more than ever, given that most of the universe seems to be made of unknown substances dubbed Dark Matter and Dark Energy. Should this not be directly the case, Solar system's anomalies could anyhow lead to advancements in either cumulative science, as shown to us by the discovery of Neptune in the first half of the nineteenth century, and technology itself. Moreover, investigations in one of such directions can serendipitously enrich the other one as well. The current status of some alleged gravitational anomalies in the Solar system is critically reviewed. They are: a) Possible anomalous advances of planetary perihelia; b) Unexplained orbital residuals of a recently discovered moon of Uranus (Mab); c) The lingering unexplained secular increase of the eccentricity of the orbit of the Moon; d) The so-called Faint Young Sun Paradox; e) The secular decrease of the mass parameter of the Sun; f) The Flyby Anomaly; g) The Pioneer Anomaly; and h) The anomalous secular increase of the astronomical unit

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Section: A Gravitational Anomaly In the Uranian System Of Natural Sat...mentioning

confidence: 99%

Gravitational anomalies in the solar system?

Iorio

2015

Int. J. Mod. Phys. D

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“…The discovery of the dusty ν and µ rings (Showalter & Lissauer 2006), near the orbits of Portia/Rosalind and Mab respectively, hints at the possibility of an evolving inner ring-moon system dominated by accretion (Tiscareno et al 2013). Kumar et al (2015) also argue that anomalies in Mab's orbital motion may be explained by a ring-moon system that is undergoing re-accretion after a recent catastrophic disruption.…”

Section: Introductionmentioning

confidence: 95%

Weighing Uranus’ Moon Cressida with the η Ring

Chancia

Hedman

French

2017

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The η ring is one of the narrow rings of Uranus, consisting of a dense core that is 1-2 km wide and a diffuse outer sheet spanning about 40 km. Its dense core lies just exterior to the 3:2 Inner Lindblad Resonance of the small moon Cressida. We fit the η ring radius residuals and longitudes from a complete set of both ground-based and Voyager stellar and radio occultations of the Uranian rings spanning 1977-2002. We find variations in the radial position of the η ring that are likely generated by this resonance, and take the form of a 3-lobed structure rotating at an angular rate equal to the mean motion of the moon Cressida. The amplitude of these radial oscillations is 0.667±0.113 km, which is consistent with the expected shape due to the perturbations from Cressida. The magnitude of these variations provides the first measurement of the mass and density of the moon Cressida (m = 2.5 ± 0.4 × 10 17 kg and ρ = 0.86 ± 0.16 g/cm 3 ) or, indeed, any of Uranus' small inner moons. A better grasp of inner Uranian satellite masses will provide another clue to the composition, dynamical stability, and history of Uranus' tightly packed system of small moons.

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“…Showalter & Lissauer 2006), whose dynamics is of course widely influenced by the main satellites. These inner satellites present interesting dynamical configurations and mysteries, as for instance the poorly understood dynamics of Mab (Kumar et al 2011) or the instability of Cupid, Belinda, Cressida and Desdemona on a time scale of 10 3 − 10 7 years (French & Showalter 2012). Secondly, a new scenario has recently been proposed by Boué & Laskar (2010) to explain the huge obliquity of Uranus (≈ 98 • ).…”

Section: Introductionmentioning

confidence: 99%

A numerical exploration of Miranda's dynamical history

Verheylewegen

Noyelles

Lemaître

2013

Monthly Notices of the Royal Astronomical Society

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The Uranian satellite Miranda presents a high inclination (4.338 • ) and evidences of resurfacing. It is accepted since 20 years (e.g. Wisdom 1989, Malhotra and Dermott 1990) that this inclination is due to the past trapping into the 3:1 resonance with Umbriel. These last years there is a renewal of interest for the Uranian system since the Hubble Space Telescope permitted the detection of an inner system of rings and small embedded satellites, their dynamics being of course ruled by the main satellites. For this reason, we here propose to revisit the long-term dynamics of Miranda, using modern tools like intensive computing facilities and new chaos indicators (MEGNO and frequency map analysis). As in the previous studies, we find the resonance responsible for the inclination of Miranda and the secondary resonances associated, likely to have stopped the rise of Miranda's inclination at 4.5 • . Moreover, we get other trajectories in which this inclination reaches 7 • . We also propose an analytical study of the secondary resonances associated, based on the study by Moons and Henrard (1993).

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Mab’s orbital motion explained

Cited by 6 publications

References 19 publications

Gravitational anomalies in the solar system?

Gravitational anomalies in the solar system?

Weighing Uranus’ Moon Cressida with the η Ring

A numerical exploration of Miranda's dynamical history

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