Resonance in PSR B1257 + 12 planetary system

Maciej Konacki, Andrzej J. Maciejewski, Alex Wolszczan

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


In this paper we present a new method that can be used for analysis of times of arrival (TOAs) of pulsar pulses. It is especially designed to detect quasi-periodic variations of TOAs. We apply our method to timing observations of PSR B1257+12 and demonstrate that by using it, it is possible to detect not only first harmonics of a periodic variations, but also the presence of a resonance effect. The resonance effect detected independently of its physical origin can appear only when there is a nonlinear interaction between two periodic modes. The explanation of TOAs variations as an effect of the existence of planets was, until now, the only known and well-justified explanation. In this context, the existence of the resonance frequency in TOAs is the most significant signature of the gravitational interaction of planets.

Original languageEnglish (US)
Pages (from-to)471-476
Number of pages6
JournalAstrophysical Journal
Issue number1 PART 1
StatePublished - Mar 1 1999

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science


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