Pulsars and neutron stars/Modelling timing residuals

From Wikibooks, open books for an open world
< Pulsars and neutron stars
Jump to navigation Jump to search

Introduction[edit]

Pulse numbering[edit]

Glitch events[edit]

In tempo/tempo2, glitch events are modelled as an offset in pulse phase, and the permanent increments in the pulse frequency and first frequency time derivative . In addition it is sometimes necessary to in a transient frequency increment which decays exponentially to zero with a timescale of . The phase model (caused by the glitch) is therefore taken as:

where is the glitch epoch and is the current time.

Frequency-dependent and frequency-independent noise[edit]

Spatially correlated timing residuals[edit]

Spectral analysis of timing residuals[edit]

Interpolation and extrapolation of pulsar timing residuals[edit]