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TY - CONF AU - Jimbo, K. ED - Koscielniak, Shane ED - Satogata, Todd ED - Schaa, Volker RW ED - Thomson, Jana TI - New Feature of the Oscillating Synchrotron Motion Derived from the Hamiltonian Composed of Three Motions J2 - Proc. of IPAC2018, Vancouver, BC, Canada, April 29-May 4, 2018 C1 - Vancouver, BC, Canada T2 - International Particle Accelerator Conference T3 - 9 LA - english AB - The equation for the synchrotron motion was derived from the Hamiltonian, which was composed of coasting, betatron and synchrotron motions*. The betatron oscillation is　the horizontal oscillation. The synchrotron oscillation is not only an oscillation of the revolution frequency but also an oscillation of the average radius. The synchrotron oscillation is both longitudinal and horizontal oscillations and it is possible to exchange energy with the betatron oscillation. The synchrotron oscillation occurs under a constant particle velocity and the Hamiltonian is conserved. PB - JACoW Publishing CP - Geneva, Switzerland SP - 1060 EP - 1062 KW - synchrotron KW - betatron KW - closed-orbit KW - experiment KW - storage-ring DA - 2018/06 PY - 2018 SN - 978-3-95450-184-7 DO - 10.18429/JACoW-IPAC2018-TUPAL028 UR - http://jacow.org/ipac2018/papers/tupal028.pdf ER -