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This work investigates the solar quasi-periodic cycles with multi-timescalesand the possible relationships with planetary motions. The solar cycles arederived from long-term observations of the relative sunspot number andmicrowave emission at frequency of 2.80 GHz. A series of solar quasi-periodiccycles with multi-timescales are registered. These cycles can be classifiedinto 3 classes: (1) strong PLC (PLC is defined as the solar cycle with a periodvery close to the ones of some planetary motions, named as planetary-likecycle) which is related strongly with planetary motions, including 9 periodicmodes with relatively short period (P<12 yr), and related to the motions of theinner planets and of Jupiter; (2) weak PLC, which is related weakly toplanetary motions, including 2 periodic modes with relatively long period (P>12yr), and possibly related to the motions of outer planets; (3) non-PLC, whichso far has no obvious evidence to show the relationship with any planetarymotions. Among planets, Jupiter plays a key role in most periodic modes by itssidereal motion or spring tidal motions with other planets. Among planetarymotions, the spring tidal motion of the inner planets and of Jupiter dominatesthe formation of most PLCs. The relationships between multi-timescale solarperiodic modes and the planetary motions will help us to understand theessential natures and prediction of solar activities.

The Mid-term and Long-term Solar Quasi-periodic Cycles and the Possible Relationship with Planetary Motions