### Abstract

We study the effect of poloidal magnetic field on type I planetary migration by linear perturbation analysis in the shearing sheet approximation, and the analytic results are compared with numerical calculations. In contrast to the unmagnetized case, the basic equations that describe the wake due to a planet in the disk allow magnetic resonances at which the density perturbation diverges. In order to simplify the problem, we consider the case without magneto-rotational instability. We perform two sets of analyses, two-dimensional and three-dimensional. In the two-dimensional analysis, we find the generalization of the torque formula previously known in the unmagnetized case. In the three-dimensional calculations, we focus on the disk with very strong magnetic field and derive a new analytic formula for the torque exerted on the planet. We find that when the Alfvén velocity is much larger than the sound speed, two-dimensional torque is suppressed and three-dimensional modes dominate, in contrast to the unmagnetized case.

Original language | English |
---|---|

Pages (from-to) | 813-826 |

Number of pages | 14 |

Journal | Astrophysical Journal |

Volume | 679 |

Issue number | 1 |

DOIs | |

Publication status | Published - May 20 2008 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Astronomy and Astrophysics
- Space and Planetary Science

### Cite this

*Astrophysical Journal*,

*679*(1), 813-826. https://doi.org/10.1086/587027

**The effect of poloidal magnetic field on type I planetary migration : Significance of magnetic resonance.** / Muto, Takayuki; Machida, Masahiro N.; Inutsuka, Shu Ichiro.

Research output: Contribution to journal › Article

*Astrophysical Journal*, vol. 679, no. 1, pp. 813-826. https://doi.org/10.1086/587027

}

TY - JOUR

T1 - The effect of poloidal magnetic field on type I planetary migration

T2 - Significance of magnetic resonance

AU - Muto, Takayuki

AU - Machida, Masahiro N.

AU - Inutsuka, Shu Ichiro

PY - 2008/5/20

Y1 - 2008/5/20

N2 - We study the effect of poloidal magnetic field on type I planetary migration by linear perturbation analysis in the shearing sheet approximation, and the analytic results are compared with numerical calculations. In contrast to the unmagnetized case, the basic equations that describe the wake due to a planet in the disk allow magnetic resonances at which the density perturbation diverges. In order to simplify the problem, we consider the case without magneto-rotational instability. We perform two sets of analyses, two-dimensional and three-dimensional. In the two-dimensional analysis, we find the generalization of the torque formula previously known in the unmagnetized case. In the three-dimensional calculations, we focus on the disk with very strong magnetic field and derive a new analytic formula for the torque exerted on the planet. We find that when the Alfvén velocity is much larger than the sound speed, two-dimensional torque is suppressed and three-dimensional modes dominate, in contrast to the unmagnetized case.

AB - We study the effect of poloidal magnetic field on type I planetary migration by linear perturbation analysis in the shearing sheet approximation, and the analytic results are compared with numerical calculations. In contrast to the unmagnetized case, the basic equations that describe the wake due to a planet in the disk allow magnetic resonances at which the density perturbation diverges. In order to simplify the problem, we consider the case without magneto-rotational instability. We perform two sets of analyses, two-dimensional and three-dimensional. In the two-dimensional analysis, we find the generalization of the torque formula previously known in the unmagnetized case. In the three-dimensional calculations, we focus on the disk with very strong magnetic field and derive a new analytic formula for the torque exerted on the planet. We find that when the Alfvén velocity is much larger than the sound speed, two-dimensional torque is suppressed and three-dimensional modes dominate, in contrast to the unmagnetized case.

UR - http://www.scopus.com/inward/record.url?scp=43949111050&partnerID=8YFLogxK

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U2 - 10.1086/587027

DO - 10.1086/587027

M3 - Article

AN - SCOPUS:43949111050

VL - 679

SP - 813

EP - 826

JO - Astrophysical Journal

JF - Astrophysical Journal

SN - 0004-637X

IS - 1

ER -