2016
DOI: 10.1093/mnras/stw1194
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Stellar kinematics using a third integral of motion: method and application on the Andromeda galaxy

Abstract: We probe the feasibility of describing the structure of a multi-component axisymmetric galaxy with a dynamical model based on the Jeans equations while taking into account a third integral of motion. We demonstrate that using the third integral in the form derived by G. Kuzmin, it is possible to calculate the stellar kinematics of a galaxy from the Jeans equations by integrating the equations along certain characteristic curves. In cases where the third integral of motion does not describe the system exactly, … Show more

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Cited by 10 publications
(14 citation statements)
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References 71 publications
(85 reference statements)
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“…We checked validity of this assumption in case of the Andromeda galaxy, M 31, modelled by us earlier (Kipper et al 2016). In case of the Andromeda galaxy at R = 8 kpc the third integral can be approximated as E z up to z ∼ 0.8 kpc only.…”
Section: Conclusion and Discussionmentioning
confidence: 90%
“…We checked validity of this assumption in case of the Andromeda galaxy, M 31, modelled by us earlier (Kipper et al 2016). In case of the Andromeda galaxy at R = 8 kpc the third integral can be approximated as E z up to z ∼ 0.8 kpc only.…”
Section: Conclusion and Discussionmentioning
confidence: 90%
“…In this paper, we adopt the mean value of σ z /σ R in the disc-dominated range, between 2 and 10 kpc approximately. In a recent work, Kipper et al (2016) studied the SVE of our neighbor galaxy M 31. It is a well known galaxy and its major axis kinematics had been measured several times (McElroy 1983;Kormendy 1988;van der Marel et al 1994;Kormendy & Bender 1999).…”
Section: Dynamical Models: Schwarzschild Three Integral and Jeans Mementioning
confidence: 99%
“…The earlier results of Gerssen & Shapiro Griffin (2012) showed that later type galaxies presented more oblate ellipsoids. On the other hand, P18 analysis of photometric observations (van der Kruit & de Grijs 1999), spectroscopic decomposition of the line of sight (Emsellem, Dejonghe & Bacon 1999;Tempel & Tenjes 2006;Cappellari et al 2007;Kipper et al 2016), and dynamical models (Emsellem et al 1999;Tempel & Tenjes 2006;Cappellari et al 2007;Kipper et al 2016) did not exhibit such relation. In addition, P18 found that the simulations from Martig et al (2012) and Martinez-Valpuesta et al (2017) do not favour a scenario where σ z /σ r is connected with morphology.…”
Section: H U B B L E T Y P E R E L At I O Nmentioning
confidence: 97%