Motion around a source whose luminosity changes

Details Motion around a source whose luminosity changes Motion around a source whose luminosity changes

Nov 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...226..240s&link_type=abstract

Astrophysical Journal, Part 1, vol. 226, Nov. 15, 1978, p. 240-252.

Astronomy and Astrophysics

Astrophysics

16

Luminous Intensity, Orbit Calculation, Radiation Effects, Stellar Luminosity, Perturbation Theory, Poynting-Robertson Effect, Stochastic Processes

Scientific paper

This paper examines the motion of objects affected by changing radiation pressure from a central source. The orbits turn out to be generally unstable. Either the objects fall inward toward the source, or they are ejected from the system. If the radiation pressure has a component which fluctuates in time with a dynamical frequency greater than 0.845 and a given relative amplitude, circular orbits become unstable on a time scale approximately equal to the quotient dynamical frequency/relative amplitude (in dimensionless dynamical units). If the fluctuation spectrum contains an angular variation of given amplitude and frequency of the order of unity, it leads to unstable motion on an angular time scale approximately equal to the inverse of the amplitude, in radians. If the fluctuations are stochastic with a white-noise spectrum having variance sigma squared, orbits are unstable with a growth time scale equal to the inverse square of sigma. These time scales can be quite short even for small luminosity fluctuations. Under many astronomical conditions they will dominate classical radiation-orbit interactions such as the Poynting-Robertson effect.

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