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We investigate the membership in double, triple or higher-order-multiplicitysystems of 54 pairs with at least one bright M dwarf in the solarneighbourhood. These M dwarfs are potential targets of radial-velocity surveysfor exoplanets. We measure angular separations and position angles from opticalimages taken with TCP and CAMELOT at the IAC80 telescope at the Observatoriodel Teide, and complement them with our measurements on photographic platedigitizations. We also use data in the Washington Double Star Catalogue andother bibliographic sources. We confirm the physical binding of 52 multiplesystems, for which we comprehensively compile, derive and provide basicastrophysical parameters in a homogeneous way (spectral types, heliocentricdistances, projected physical separations, individual masses, estimated orbitalperiods, binding energies). Of the 52 systems, 38 are double, 11 are triple andthree are quadruple with a variety of architectures. Four systems contain whitedwarfs, six systems display variations of position angle larger than 12 deg(1/30 orbit) on a scale of decades and seven systems are located at less than10 pc. We provide new information, or correct published data, of the mostremarkable multiple systems and identify some of them for high-resolutionimaging and spectroscopic follow-up.

Cool dwarfs in wide multiple systems. Paper 5: New astrometry of 54 wide pairs with M dwarfs