Superhump

In astronomy, a superhump is a periodic brightness variation in a cataclysmic variable star system, with a period within a few percent of the orbital period of the system.

## Contents

* 1 History
* 2 Period excess
* 3 Physical origin
* 4 References

## History

Superhumps were first seen in SU Ursae Majoris (SU UMa) stars, a subclass of dwarf novae, at times when the binary system underwent a superoutburst, which is an unusually strong outburst (increase in brightness) caused by an increased accretion rate.[1]

## Period excess

The period of the superhump variations can be either greater or less than the orbital period, known as positive or negative superhumps respectively. The period excess is the difference between the superhump period and the orbital period, expressed as a fraction of the orbital period.[2]

## Physical origin

The accretion disk is elongated by the tidal force of the donor star. The elliptical disk precesses around the white dwarf accretor over a time interval much longer than the orbital period, the beat period, causing a slight change in the orientation of the disk over each orbit.[3] Superhumps in cataclysmic variable stars are the result of viscous dissipation by periodic deformations of the disk. These deformations are caused by the presence of a 3:1 resonance between the orbital periods of the accretion disk and the donor star. Retrograde precession of the disk causes negative superhumps, with periods slightly less than the orbital period.[2][4]

Superhumps can occur in dwarf nova systems in which the donor star (mass-losing star) has a mass that is at most 34 percent the mass of the accretor star (mass-gaining star).[2] The amplitude can be up to 0.6 magnitudes.[5]

## References

1. ↑ Retter, A.; Naylor, T. (2000). "Thermal stability and nova cycles in permanent superhump systems". Monthly Notices of the Royal Astronomical Society 319 (2): 510–516. doi:10.1111/j.1365-8711.2000.03931.x. Bibcode: 2000MNRAS.319..510R.
2. ↑ 2.0 2.1 2.2 Wood, Matt A.; Burke, Christopher J. (2007). "The physical origin of negative superhumps in Cataclysmic Variables". The Astrophysical Journal 661 (2): 1042–1047. doi:10.1086/516723. Bibcode: 2007ApJ...661.1042W.
3. ↑ Pearson, K. J. (2007). "Are superhumps good measures of the mass ratio for AM CVn systems?". Monthly Notices of the Royal Astronomical Society 379 (1): 183–189. doi:10.1111/j.1365-2966.2007.11932.x. Bibcode: 2007MNRAS.379..183P.
4. ↑ Vallet, David; Martin, Rebecca G.; Lubow, Stephen H.; Lepp, Stephen (2026). "Negative Superhumps in Cataclysmic Variables Driven by Retrograde Apsidal Disk Precession". The Astrophysical Journal 1000 (2): L36. doi:10.3847/2041-8213/ae4c5d. Bibcode: 2026ApJ..1000L..36V.
5. ↑ Smak, J. (2010). "Superhumps and their Amplitudes". Acta Astronomica 60 (4): 357–371. Bibcode: 2010AcA....60..357S.

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