Abstract
The formation of tidal streams reflects the underlying Galactic potential, such that the resulting structures may be used to constrain the potential. One way of using streams to constrain the Galactic potential is to assume that a stream delineates an orbit. This assumption was discussed in Chap. 5, and the results indicate that an improvement over orbit-fitting is required, which accounts for the stream-orbit misalignment.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
Note that, as discussed in Evans (1993), the logarithmic potential produces negative densities for \(q<1/\sqrt{2}\) or \(q>1.08\). Therefore, for a realistic application, we would want to restrict the parameters to ensure we only explore physical models.
- 2.
A logarithmic potential does not tend to an asymptotic limit at large R or z, so technically every orbit in a logarithmic potential is bound. However, in practice, orbits that reach very large R and z take an extremely long time to integrate. Therefore, we consider all orbits which stray more than \(200\,\mathrm{{kpc}}\) from the Galactic centre to be ‘unbound’.
References
Binney J (2008) MNRAS 386:L47
Bonaca A, Geha M, Kuepper AHW, Diemand J, Johnston KV, Hogg DW (2014) ArXiv e-prints
Bovy J (2014) ArXiv e-prints
Bovy J et al (2012) ApJ 759:131
Burnett B et al (2011) A & A 532:A113
Dehnen W (2000) ApJL 536:L39
Dehnen W (2002) J Comput Phys 179:27
Dehnen W, Odenkirchen M, Grebel EK, Rix H-W (2004) AJ 127:2753
Deng L-C et al (2012) Res Astron Astrophys 12:735
Drake AJ et al (2013) ApJ 763:32
Evans NW (1993) MNRAS 260:191
Eyre A, Binney J (2009) MNRAS 399:L160
Eyre A, Binney J (2011) MNRAS 413:1852
Fellhauer M et al (2006) ApJ 651:167
Foreman-Mackey D, Hogg DW, Lang D, Goodman J (2013) emcee: The MCMC Hammer. PASP 125:306–312
Galassi M, Davies J, Theiler J, Gough B, Jungman G (2009) GNU scientific library—reference manual for GSL version 1.12, 3rd edn. Network Theory Ltd, pp 1–573
Gilmore G et al (2012) Messenger 147:25
Helmi A, White SDM (1999) MNRAS 307:495
Ivezić Ž et al (2008) SPIE 248:537
Johnston KV (1998) ApJ 495:297
Johnston KV, Zhao H, Spergel DN, Hernquist L (1999) ApJL 512:L109
Jurić M et al (2008) ApJ 673:864
Kaiser N et al (2002) SPIE 4836:154
Koposov SE, Rix H-W, Hogg DW (2010) ApJ 712:260
Küpper AHW, Lane RR, Heggie DC (2012) MNRAS 420:2700
Law DR, Johnston KV, Majewski SR (2005) ApJ 619:807
Law DR, Majewski SR (2010) ApJ 714:229
Lepage GP (1978) J Comput Phys 27:192
Magnier EA, Liu M, Monet DG, Chambers KC (2008) IAU Symp 248:553
McMillan PJ, Binney JJ (2008) MNRAS 390:429
Munn JA et al (2004) AJ 127:3034
Nelder JA, Mead R (1965) Comput J 7:308
Peñarrubia J, Koposov SE, Walker MG (2012) ApJ 760:2
Perryman MAC et al (2001) A & A 369:339
Pier JR, Munn JA, Hindsley RB, Hennessy GS, Kent SM, Lupton RH, Ivezić Ž (2003) AJ 125:1559
Price-Whelan AM, Hogg DW, Johnston KV, Hendel D (2014) ArXiv e-prints
Price-Whelan AM, Johnston KV (2013) ApJL 778:L12
Reid MJ, Brunthaler A (2004) ApJ 616:872
Sanders J (2012) MNRAS 426:128
Sanders JL (2014) MNRAS 443:423
Sanders JL, Binney J (2013) MNRAS 433:1826
Sanderson R, Helmi A, Hogg DW (2014) In: American astronomical society meeting abstracts, vol 223. American Astronomical Society Meeting Abstracts, p 346.10
Schönrich R, Binney J, Dehnen W (2010) MNRAS 403:1829
Sesar B et al (2013) ApJ 776:26
Siebert A et al (2011) AJ 141:187
Skrutskie MF et al (2006) AJ 131:1163
Tremaine S (1999) MNRAS 307:877
Varghese A, Ibata R, Lewis GF (2011) MNRAS 417:198
Yanny B et al (2009) AJ 137:4377
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Sanders, J. (2015). Stream Modelling in Angle-Frequency Space. In: Dynamics of the Milky Way. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-18772-3_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-18772-3_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18771-6
Online ISBN: 978-3-319-18772-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)