precision of the proposed experiment may be approxi- mately the same or better than that of the planned E969 experiment. A more detailed theoretical analysis should be based on the matrix method. The use of the matrix method is necessary for further theoretical investigations. However, any theoretical analysis is not sufficient to calculate the spin dynamics in specific g -2 rings with a needed accu- racy. Nevertheless, necessary calculations can be carried out with spin tracking. Since the theoretical predictions and the experimental data do not agree, performing new experiments based on different ring lattices is necessary. Such experiments will be very important even if they will not provide better precision as compared with the usual g -2 experiments [2, 3]. In this work, we propose the new experiment to mea- The author is very much obliged to F.J.M. Farley for valuable remarks and discussions. The author is also grateful to I.N. Meshkov and Y.K. Semertzidis for help- ful discussions and the referees for valuable comments and remarks. The work was supported by the Belaru- sian Republican Foundation for Fundamental Research (Grant No. Φ10D-001). sure the muon g -2 factor. The developed experiment does not require much shimming. This experiment could pro- vide an independent experimental result with different systematics and the advantages mentioned in the Far- ley’s paper [4]. Acknowledgments 5 [10] F.J.M. Farley, private communication (2008). [9] S. Granger and G.W. Ford, Phys. Rev. Lett. 28 (1972) 1479; F.J.M. Farley, Phys. Lett. B 42 (1972) 66; F.J.M. Farley and E. Picasso, in Quantum Electrodynamics , edited by T. Kinoshita (World Scientific, Singapore, 1990); J.H. Field and G. Fiorentini, Nuovo Cimento Soc. Ital. Fis. A 21 (1974) 297. [8] J. P. Miller, E. de Rafael and B. L. Roberts, Rept. Prog. Phys. 70 (2007) 795. [7] T. Mibe, “New g -2 experiment at J-PARC,” [6] E.D. Courant and H.S. Snyder, Ann. Phys. (N.Y.) 281 (2000) 360 [reprinted from 3 (1958) 1]. [5] A.J. Silenko, Phys. Rev. ST Accel. Beams 9 (2006) 034003. [4] F.J.M. Farley, Nucl. Instr. Meth. A 523 (2004) 251. [3] R.M. Carey et al. (New g − 2 Collaboration), “The New ( g − 2) Experiment: A Proposal to Measure the Muon Anomalous Magnetic Moment to ± 0.14 ppm Precision,” http://www.fnal.gov/directorate/program planning/ Mar2009PACPublic/Proposal g-2-3.0Feb2009.pdf [2] G.W. Bennett et al. (Muon g − 2 Collaboration), Phys. Rev. D 73 (2006) 072003. [1] F. Jegerlehner and A. Nyffeler, Phys. Rep. 477 (2009) 1. http://indico.ihep.ac.cn/getFile.py/access?contribId= 50&amp;sessionId=13&amp;resId=0&amp;materialId= slides&amp;confId=619