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Since the last phase coherent timing solution of the nearby radio-quietisolated neutron star RX J0720.4-3125 six new XMM-Newton and three Chandraobservations were carried out. The phase coherent timing solutions fromprevious authors were performed without restricting to a fixed energy band.However, we recently showed that the phase residuals are energy dependent, andthus phase coherent solutions must be computed referring always to the sameenergy band. We updated the phase coherent timing solution for RX J0720.4-3125by including the recent XMM-Newton EPIC-pn, MOS1, MOS2 and Chandra ACIS data inthe energy range 400-1000~eV. Altogether these observations cover a time spanof almost 10~yrs. A further timing solution was obtained including the ROSATpointed data. In this case, observations cover a time span of $\approx$16~yrs.To illustrate the timing differences between the soft band (120-400~eV) and thehard band (400-1000~eV) a timing solution for the soft band is also presentedand the results are verified using a $\mathrm{Z_{n}^{2}}$ test. In contrast toprevious work, we obtain almost identical solutions whether or not we includethe ROSAT or Chandra data. Thanks to the restriction to the hard band, the datapoints from EPIC-pn are in better agreement with those from MOS1, MOS2 andChandra than in previous works. In general the phase residuals are still largeand vary with time. In particular, the latest XMM-Newton and Chandra data showthat the phase residuals have attained relatively large and negative values.

Updated phase coherent timing solution of the isolated neutron star RX J0720.4-3125 using recent XMM-Newton and Chandra observations