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The results of the analysis of available pulse arrival times of the pulsar PSR 0329+54 are presented. The total data set spans the period 25.7 years and consists of the Pushchino timing data between 1978 and 1994 and the JPL timing data between 1968 and 1983 (Downs \& Reicley 1983, Ap.J.Suppl.Ser.,53,169, Downs \& Krause-Polstorff 1986,Ap.J.Suppl.Ser.,62, 81). Analysis has shown, that timing residuals have a quasi-sinusoidal modulation with a period of 16.9 years. This periodicity may be interpreted as evidence for the existence of a planet-like body orbiting the pulsar PSR 0329+54 with the 16.9-yr orbital period. The planet has the minimum mass of about two masses of the Earth and moves in eccentric orbit (e=0.23) with the semimajor axis 7.3 AU. In 1979 Demianski and Proszynski in their paper 'Does PSR 0329+54 have companions?' reported the existence of sinusoidal modulation in the arrival times with a period of about 3 years (Nature,1979,282,383). In the present paper the existence of this 3-yr periodicity in the pulse arrival times is verified. It is manifested distinctively in the JPL data only after removing the main 16.9-yr periodicity.
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