2017
DOI: 10.1093/mnras/stx2350
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The escape velocity curve of the Milky Way in modified Newtonian dynamics

Abstract: We determine the escape velocity from the Milky Way (MW) at a range of Galactocentric radii in the context of Modified Newtonian Dynamics (MOND). Due to its non-linear nature, escape is possible if the MW is considered embedded in a constant external gravitational field (EF) from distant objects. We model this situation using a fully self-consistent method based on a direct solution of the governing equations out to several thousand disk scale lengths. We try out a range of EF strengths and mass models for the… Show more

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Cited by 35 publications
(45 citation statements)
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References 76 publications
(108 reference statements)
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“…The QUMOND numerical median relation agrees well with the approximate analytic expression for the RAR proposed by Zonoozi et al (2021) based on Banik & Zhao (2018):…”
Section: External Field Tilted From the Rotation Axissupporting
confidence: 84%
“…The QUMOND numerical median relation agrees well with the approximate analytic expression for the RAR proposed by Zonoozi et al (2021) based on Banik & Zhao (2018):…”
Section: External Field Tilted From the Rotation Axissupporting
confidence: 84%
“…This was recently confirmed by observations, which are in tension with a naive application of the RAR but not a more rigorous treatment of MOND (Caldwell et al 2017). This external field effect hardly matters for calculating the rotation curve of the MW but is crucial to its escape velocity, measurements of which can be fit reasonably well in MOND (Banik & Zhao 2017b).…”
Section: Introductionmentioning
confidence: 89%
“…A similar halo is thought to be necessary around the MW to explain the truncation of the Large Magellanic Cloud's gas disk (Salem et al 2015). These gas halos seem to contain perhaps 3 × 10 10 M each, with much larger amounts being very unlikely given constraints from the MW escape velocity curve (Banik & Zhao 2017b). Considering that the MW rotation curve flatlines at ∼ 180 km/s (Kafle et al 2012) while that of M31 flattens at ∼ 225 km/s (Carignan et al 2006), MOND suggests their total baryonic mass is 2.3 × 10 11 M .…”
Section: Mw-m31 Trajectorymentioning
confidence: 99%
“…To account for this, we integrate the assumed surface density law (Table 3) to obtain the mass represented by each particle, later using these masses as statistical weights when analysing our simulations (Section 4). We treat M31 as an exponential disk but use a double exponential model for the MW, whose adopted mass distribution is the same as that used in Banik & Zhao (2018a) to calculate its rotation and escape velocity curves in MOND.…”
Section: The Mw and M31 Disksmentioning
confidence: 99%