Mathematics – Logic
Scientific paper
Dec 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aas...21460306g&link_type=abstract
American Astronomical Society, AAS Meeting #214, #603.06
Mathematics
Logic
Scientific paper
The rotation curve of the SMC (Stanimirovic et al, 2004, ApJ, 604, 176) is close to function V = 33*R1/2 km/s, where R =0.1-3.5kpc. The Pioneer anomaly is a constant sunward acceleration A = 8.74*10-8 cm/s2. For large heliocentric distance V2/R=A and V=164*R1/2 km/s. Consider hypothesis that a rotation curve of MW satellites is function, not dark matter, but Pioneer acceleration. From phenomenological model of the Pioneer anomaly (Gorkavyi, BAAS, 2005, 37, 2) A=kP/c2 (1), where P-gravitational potential of Galaxy, coefficient k=0.13cm/s2 for Pioneer. From SMC curve k=0.033cm/s2 for stars. Model (1) can predict, for example, curve for Fornax dwarf galaxy: V=22.3*R1/2 km/s. Three types of MW satellites can be considered. For C-satellites gravitational force Fs is larger than F - gravitational force of the Galaxy, but potential Ps of C-satellite smaller than galactic potential P (case of the SMC and Solar system). For G-satellites (include Galaxy itself) own gravitational force and potential are larger than gravitational force and potential of neighbors. For S-satellites (star clusters in the Galaxy) own gravitational force and potential are smaller than gravitational force and potential of the Galaxy.
For C-satellites V2/R = kP/c2 V R1/2 - as for the SMC. A rotation of C-satellites is not related to luminosity.
For G-satellites rotation curve depends from own potential Ps and is flat at large distance: V2/R = kPs/c2 V = const (R) for Ps 1/R. A rotation is not directly related to luminosity.
For S-satellites rotation follows to Newton V2/R = Fs; V R-1/2. For S-systems M/L close to 1. LMC is intermediate case between C and G types. Rotation of LMC depends from both potentials Ps P. Confirmation the CGS-classification and shape of rotation curves of MW satellites will be important for understanding the dark matter and Pioneer anomaly.
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