A Study of Magnetic Field by Using Core Shift for Radio Galaxy 3C - - PowerPoint PPT Presentation

a study of magnetic field by using core shift for radio
SMART_READER_LITE
LIVE PREVIEW

A Study of Magnetic Field by Using Core Shift for Radio Galaxy 3C - - PowerPoint PPT Presentation

A Study of Magnetic Field by Using Core Shift for Radio Galaxy 3C 111 K.Shiotani , K.Fujisawa, K.Niinuma (Yamaguchi univ.) Introduction AGN Jets SMBH Lobe Relativistic jet (~10) Cygnus A radio image for VLA(Image courtesy of NRAO) A


slide-1
SLIDE 1

A Study of Magnetic Field by Using Core Shift for Radio Galaxy 3C 111

K.Shiotani , K.Fujisawa, K.Niinuma (Yamaguchi univ.)

slide-2
SLIDE 2

Introduction

slide-3
SLIDE 3

AGN Jets

  • Powerful energy emission ( erg/s) from very compact region
  • Radio to γ-ray emission ; Synchrotron + Inverse Compton
  • Collimated plasma flow with relativistic velocity

SMBH Lobe Relativistic jet (Γ~10) Cygnus A radio image for VLA(Image courtesy of NRAO)

A lot of issues has not been clarified

a few kpc ~ Mpc

∼ 1040

How collimate? How accelerate?

slide-4
SLIDE 4

Magnetically Driven Model

  • Helical magnetic field・Synchrotron radiation・high speed jet

⇨magnetically driven model is a most likely model

J.McKinney 2006

Important to estimate the magnetic field strength of the jet

  • f pc or less scale for more realistic simulation

宇宙ジェットの磁気駆動モデルのコンピュータシミュレーション (http://home.hiroshima-u.ac.jp/hasc/news/3c279/index.html , Shibata and Uchida 1986)

slide-5
SLIDE 5

Motivation

Estimating physical parameters (especially the magnetic field) at the pc scale from the observation, constraining the theoretical model Magnetic field can not be measured directly . . .

“Core shift” gives us indirect measurement of magnetic field

slide-6
SLIDE 6

Method & Target

slide-7
SLIDE 7
  • Core shift phenomenon
  • Radio core position observed at higher frequency moves more upstream
  • f the jet (Lovanov 1998)
  • Z
  • Z

Core Shift

rcore ∝ ν− 1

k

<latexit sha1_base64="qALtVICEdwd1LFeI6QwliZw4iL0=">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</latexit><latexit sha1_base64="qALtVICEdwd1LFeI6QwliZw4iL0=">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</latexit><latexit sha1_base64="qALtVICEdwd1LFeI6QwliZw4iL0=">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</latexit><latexit sha1_base64="0Epsu6yQobulo7CdBrV+J6NXdBA=">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</latexit>

B = B1pcr−m

<latexit sha1_base64="zoIPazs7hJR0wTf8sEs3Nr7rH/0=">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</latexit><latexit sha1_base64="zoIPazs7hJR0wTf8sEs3Nr7rH/0=">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</latexit><latexit sha1_base64="zoIPazs7hJR0wTf8sEs3Nr7rH/0=">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</latexit><latexit sha1_base64="UMSmhaMlgTOd3WILqnivcn24HOU=">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</latexit>

N = N1pcr−n

<latexit sha1_base64="D/cs89tzXtjgPpvJl72xzdEfPIM=">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</latexit><latexit sha1_base64="D/cs89tzXtjgPpvJl72xzdEfPIM=">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</latexit><latexit sha1_base64="D/cs89tzXtjgPpvJl72xzdEfPIM=">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</latexit><latexit sha1_base64="6nbKlWLj0EIm7lqOkLBpX04mE3A=">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</latexit>

k = (3 − 2α)m + 2n − 2 5 − 2α

<latexit sha1_base64="SqATYzYgMzjKdL1NL/35qFv4oJ0=">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</latexit><latexit sha1_base64="SqATYzYgMzjKdL1NL/35qFv4oJ0=">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</latexit><latexit sha1_base64="SqATYzYgMzjKdL1NL/35qFv4oJ0=">ACr3ichVFNTxRBEH2MirgiLHox4bJhs0RD2NQsEsGEhODFIx8uSwIM2ODnZ2dmcz0boIb/gB/wIMnSIghXPgPXPwDknDSq/GIiRcPvpldTQhBejJd1VX1Xr3uciNfJ0bkvMe6dftO792+e7n7/Q8GBvND5eTsBl7quqFfhivuE6ifB2oqtHGVytRrJyG6uaW3+Z5mstFSc6DF6bnUitN5ztQG9pzEMhfkS6pjBIbYQw4GHNp5gAuOoMObAR4R3tE/RwBhjQZbZdXklZrdjXxRypXpKZmYLlx17LJkq4jumg/zn7CGtwjZtskGivSGvk+yhN8qbAjJDdbZ0KFA53lFSXkiG2ySrEiFV7nvs3Tajca8JxyJhnaYxef0xkASX5IkdyIZ/lWL7L72u52hlHqmWH1u1gVbQxuPd46deNqAat4dP8Q/1Xs+EIpjKtmtqjLJLewuvgW+8/XCy9WCy1R+VAflD/vpzLKW8QtH56hwtq8SNyHMDfVy5c7yxXyraU7YVnxdm57ij6MIwRDt7Gc8ziFeZRZd8TnOErvlm2VbPeWJudUquni3mES8vSfwAG15kR</latexit><latexit sha1_base64="GCp6NpsJ4OjlB8rAL+dQFhHmIuI=">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</latexit>

, Hada+ 2011

slide-8
SLIDE 8

Estimation of B using core shift

  • Assuming equipartition in conical jet (Hirotani et al.2005)

DL

<latexit sha1_base64="fxT/GEuk41mrtvaNzuMmjpt9ZzY=">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</latexit><latexit sha1_base64="fxT/GEuk41mrtvaNzuMmjpt9ZzY=">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</latexit><latexit sha1_base64="fxT/GEuk41mrtvaNzuMmjpt9ZzY=">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</latexit><latexit sha1_base64="9Z34vMwKI0G8lOjiJEYqfEduydw=">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</latexit>

ν1, ν2

<latexit sha1_base64="c0W3uh1HDjVyR+hIClk0ayrIBpc=">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</latexit><latexit sha1_base64="c0W3uh1HDjVyR+hIClk0ayrIBpc=">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</latexit><latexit sha1_base64="c0W3uh1HDjVyR+hIClk0ayrIBpc=">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</latexit><latexit sha1_base64="Ule/SLr23GbDnRmnQLRcrns8KHI=">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</latexit>

z

<latexit sha1_base64="fWF2CGFJi5l3tlq6CxSeRHTtZY=">ACZHichVFNS8NAEH2NX7V+VYsgCFIsiqcyqYKtp6IXj21KqiUJG41NE1Ckhba4h/Qq+LBk4KI+DO8+Ac8+AcE8ajgxYPTtCIi1Vl2Z/btvJm3u6pt6K5H9BiQurp7evuC/aGBwaHhkfDo2IZrVRxN5DXLsJwtVXGFoZsi7+meIbZsRyhl1RCbamleb5ZFY6rW+a6V7PFblnZN/WirikeQ9l6IRyjeCKVpPlU9Hcgx8m3GNqWscLX2MEeLGioAwBEx7HBhS4PLYhg2AztosGYw5Hun8ucIgQcyucJThDYbTE6z7vtuoyftmTdna9zF4OkwM4oZeqAbeqV7uqVn+uhYq+HXaGqpsVdbXGEXRo4m1t7/ZXZezj4Zv2p2UMRSV+rztptH2neQmvxq/Wz17Wl3Exjli7phfVf0CPd8Q3M6pt2lRW5c4T4A75eOdo52EjEZYrL2YVYern9FUFMYhpz/N6LSGMVGeS5r8AxTnAaeJIGpYg03kqVAm1OBD9MmvoErfKVw=</latexit><latexit sha1_base64="fWF2CGFJi5l3tlq6CxSeRHTtZY=">ACZHichVFNS8NAEH2NX7V+VYsgCFIsiqcyqYKtp6IXj21KqiUJG41NE1Ckhba4h/Qq+LBk4KI+DO8+Ac8+AcE8ajgxYPTtCIi1Vl2Z/btvJm3u6pt6K5H9BiQurp7evuC/aGBwaHhkfDo2IZrVRxN5DXLsJwtVXGFoZsi7+meIbZsRyhl1RCbamleb5ZFY6rW+a6V7PFblnZN/WirikeQ9l6IRyjeCKVpPlU9Hcgx8m3GNqWscLX2MEeLGioAwBEx7HBhS4PLYhg2AztosGYw5Hun8ucIgQcyucJThDYbTE6z7vtuoyftmTdna9zF4OkwM4oZeqAbeqV7uqVn+uhYq+HXaGqpsVdbXGEXRo4m1t7/ZXZezj4Zv2p2UMRSV+rztptH2neQmvxq/Wz17Wl3Exjli7phfVf0CPd8Q3M6pt2lRW5c4T4A75eOdo52EjEZYrL2YVYern9FUFMYhpz/N6LSGMVGeS5r8AxTnAaeJIGpYg03kqVAm1OBD9MmvoErfKVw=</latexit><latexit sha1_base64="fWF2CGFJi5l3tlq6CxSeRHTtZY=">ACZHichVFNS8NAEH2NX7V+VYsgCFIsiqcyqYKtp6IXj21KqiUJG41NE1Ckhba4h/Qq+LBk4KI+DO8+Ac8+AcE8ajgxYPTtCIi1Vl2Z/btvJm3u6pt6K5H9BiQurp7evuC/aGBwaHhkfDo2IZrVRxN5DXLsJwtVXGFoZsi7+meIbZsRyhl1RCbamleb5ZFY6rW+a6V7PFblnZN/WirikeQ9l6IRyjeCKVpPlU9Hcgx8m3GNqWscLX2MEeLGioAwBEx7HBhS4PLYhg2AztosGYw5Hun8ucIgQcyucJThDYbTE6z7vtuoyftmTdna9zF4OkwM4oZeqAbeqV7uqVn+uhYq+HXaGqpsVdbXGEXRo4m1t7/ZXZezj4Zv2p2UMRSV+rztptH2neQmvxq/Wz17Wl3Exjli7phfVf0CPd8Q3M6pt2lRW5c4T4A75eOdo52EjEZYrL2YVYern9FUFMYhpz/N6LSGMVGeS5r8AxTnAaeJIGpYg03kqVAm1OBD9MmvoErfKVw=</latexit><latexit sha1_base64="fWF2CGFJi5l3tlq6CxSeRHTtZY=">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</latexit>

δ

<latexit sha1_base64="NYKRt6ElZj8Y19e5zMa1AOZCfK0=">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</latexit><latexit sha1_base64="NYKRt6ElZj8Y19e5zMa1AOZCfK0=">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</latexit><latexit sha1_base64="NYKRt6ElZj8Y19e5zMa1AOZCfK0=">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</latexit><latexit sha1_base64="Kh14/9HevTWkUKDy9E0kQEbvfxc=">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</latexit>

φ

<latexit sha1_base64="SXxzl4Yb9MJHmLtjo1XECXyb5wg=">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</latexit><latexit sha1_base64="SXxzl4Yb9MJHmLtjo1XECXyb5wg=">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</latexit><latexit sha1_base64="SXxzl4Yb9MJHmLtjo1XECXyb5wg=">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</latexit><latexit sha1_base64="Pun2SCsWz2G0OeWeYbzyNQutoJ0=">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</latexit>

θ

<latexit sha1_base64="yIMBUm1OpaF+vkAbCNAuqnbkPTI=">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</latexit><latexit sha1_base64="yIMBUm1OpaF+vkAbCNAuqnbkPTI=">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</latexit><latexit sha1_base64="yIMBUm1OpaF+vkAbCNAuqnbkPTI=">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</latexit><latexit sha1_base64="b/n4WlFiSX0ZycLEySc82QpEJbU=">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</latexit>

: displacement radio core at difference frequency : frequency : luminosity distance : redshift : doppler factor : jet opening angle : the angle between the jet and the line of sight

∆rcore

<latexit sha1_base64="UXw6ZzTxTmJr3d61NvtnwjM4unw=">ACi3ichVE9S8NQFD2N39XaqovgUiyKU7lVwQ8cxA9w1NaqUEtJ4lND0yQkrwUt/gFxd3BSKCJurq5+Ac/AniqODi4E1aEZHqDeTde9495z3nuaYhieJnkJKS2tbe0dnV7i7J9IbjfX1b3h2dVFVrdN293SVE+YhiWy0pCm2HJcoZY0U2xqxUV/f7MiXM+wrXV54Ih8Sd2zjF1DVyVDdmwANSxBwISEijhcFBlzEWJKx02ZwJHhViCkuMz0zQxE/+dpJIURAKNWLVjl9jGDtN1lHmUgMUCOsuo8PjLIQWCw1ie5VQWkTCfRZDmLl7hLcoTJa5P8eV7kGanHtz/QCtm/SDIweseUReqQreqUHuqZn+mg6qxrM8L0c8KrVucIpRI8HM+/skq8Sux/s/70LGL6cCrwd6dAPFPodf5lcPT18xseqQ6Shf0wv7P6Ynu+QRW5U2vrYn0GcL8AF+3HG+ebIwnU5RMrU0m5hcaT9GJIQxjO97CvNYwSqyrHuCG9ziTokoE8qsMldvVUINzgB+hL8CZmxkM=</latexit><latexit sha1_base64="UXw6ZzTxTmJr3d61NvtnwjM4unw=">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</latexit><latexit sha1_base64="UXw6ZzTxTmJr3d61NvtnwjM4unw=">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</latexit><latexit sha1_base64="XdTZVTZsQdeUbdcL90Mt9aCYvzI=">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</latexit>

r

1pc

B1pc = 1.45 × 10−8 ✓∆rcoreDLν1ν2 ν2 − ν1 ◆ 3

4 ✓

1 (1 + z)4δ2φ sin2 θ ◆

<latexit sha1_base64="cfA+nMWTxLqPv9MkRcAHNdH6Nvg=">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</latexit><latexit sha1_base64="cfA+nMWTxLqPv9MkRcAHNdH6Nvg=">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</latexit><latexit sha1_base64="cfA+nMWTxLqPv9MkRcAHNdH6Nvg=">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</latexit><latexit sha1_base64="BYtlPYOAFz4Hw+rKf+j3V9H1JDY=">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</latexit>

Only need to estimate magnetic field at 1pc

Δrcore

Only VLBI observation

slide-9
SLIDE 9

Estimation of B using core shift

Author

Frequency [GHz]

Source sample Number of observations

Kovalev+08

2.3, 8.6

29 ≦3/a source O’sullivan+09

4.6, 5.1, 7.9, 8.9, 12.9,15.4, 22.2, 43.1

6 1/a source Pushkarev+12 8.1, 8.4, 12.1, 15.4 191 12/a source

・High frequency ・Single source/Monitoring

  • Previous studies

Our observation

&

・Large viewing angle ・The distance is close ・Flare phase ・Single source

slide-10
SLIDE 10

Radio Galaxy 3C 111

  • Relatively close (distance of 196Mpc;Grandi +12)
  • Typical FR II radio galaxy , the jet viewing angle θ=18°(Jorstad+05)
  • Jet activity is powerful and just in the flare phase!!

VLBA 15GHz Radio Image (MOJAVE project) The light curve of map peak at VLBA 15GHz radio images

slide-11
SLIDE 11

Purpose & Observation

slide-12
SLIDE 12

The purpose

To measure the core shift and its time variation, by high-frequency, single target and monitoring

Target Array

Large viewing angle Flare phase

3C 111

High frequency High image quality

KaVA

slide-13
SLIDE 13
  • Array:KaVA (Code : k18ks01)
  • Obs. time:8hours /1epoch
  • Frequency:22/43 GHz
  • & freq. switching/1hour
  • Integration time : 4 hours/freq.

Observation

Epoch Date

Station

1 2018/01/23 IRK, OGA, ISG KYS, KUS 2 2018/04/11 ALL 3 2018/06/03 ALL u,v coverage of Epoch 2

slide-14
SLIDE 14

Results

slide-15
SLIDE 15

Radio Image

  • 22 GHz

Epoch1 Epoch2 Epoch3

Peak Flux = 2.13 [Jy/beam] Irms = 4.2 [mJy/beam] Peak Flux = 1.35 [Jy/beam] Irms = 8.7 [mJy/beam] Peak Flux = 1.05 [Jy/beam] Irms = 3.8 [mJy/beam]

Preliminary

slide-16
SLIDE 16

Radio Image

Epoch1 Epoch2 Epoch3

Peak Flux = 2.13 [Jy/beam] Irms = 4.2 [mJy/beam] Peak Flux = 1.35 [Jy/beam] Irms = 8.7 [mJy/beam] Peak Flux = 1.05 [Jy/beam] Irms = 3.8 [mJy/beam]

  • 22 GHz (red: core, blue: K1, green: K2)

Preliminary

slide-17
SLIDE 17

Radio Image

  • 43 GHz

Epoch1 Epoch2 Epoch3

Peak Flux = 1.10 [Jy/beam] Irms = 14.3 [mJy/beam] Peak Flux = 0.80 [Jy/beam] Irms = 16.0 [mJy/beam] Peak Flux = 0.71 [Jy/beam] Irms = 12.1 [mJy/beam]

Preliminary

slide-18
SLIDE 18

Radio Image

Epoch1 Epoch2 Epoch3

Peak Flux = 1.10 [Jy/beam] Irms = 14.3 [mJy/beam] Peak Flux = 0.80 [Jy/beam] Irms = 16.0 [mJy/beam] Peak Flux = 0.71 [Jy/beam] Irms = 12.1 [mJy/beam]

  • 43 GHz (red: core, blue: K1, green: K2)

Preliminary

slide-19
SLIDE 19

The light curve

  • The light curve (up: 22 GHz, bottom: 43 GHz)
  • (red: core, blue: K1, green: K2)

Preliminary

slide-20
SLIDE 20
  • Measuring core offset from each jet component

Core offset measurement

∆rcore

<latexit sha1_base64="UXw6ZzTxTmJr3d61NvtnwjM4unw=">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</latexit><latexit sha1_base64="UXw6ZzTxTmJr3d61NvtnwjM4unw=">ACi3ichVE9S8NQFD2N39XaqovgUiyKU7lVwQ8cxA9w1NaqUEtJ4lND0yQkrwUt/gFxd3BSKCJurq5+Ac/AniqODi4E1aEZHqDeTde9495z3nuaYhieJnkJKS2tbe0dnV7i7J9IbjfX1b3h2dVFVrdN293SVE+YhiWy0pCm2HJcoZY0U2xqxUV/f7MiXM+wrXV54Ih8Sd2zjF1DVyVDdmwANSxBwISEijhcFBlzEWJKx02ZwJHhViCkuMz0zQxE/+dpJIURAKNWLVjl9jGDtN1lHmUgMUCOsuo8PjLIQWCw1ie5VQWkTCfRZDmLl7hLcoTJa5P8eV7kGanHtz/QCtm/SDIweseUReqQreqUHuqZn+mg6qxrM8L0c8KrVucIpRI8HM+/skq8Sux/s/70LGL6cCrwd6dAPFPodf5lcPT18xseqQ6Shf0wv7P6Ynu+QRW5U2vrYn0GcL8AF+3HG+ebIwnU5RMrU0m5hcaT9GJIQxjO97CvNYwSqyrHuCG9ziTokoE8qsMldvVUINzgB+hL8CZmxkM=</latexit><latexit sha1_base64="UXw6ZzTxTmJr3d61NvtnwjM4unw=">ACi3ichVE9S8NQFD2N39XaqovgUiyKU7lVwQ8cxA9w1NaqUEtJ4lND0yQkrwUt/gFxd3BSKCJurq5+Ac/AniqODi4E1aEZHqDeTde9495z3nuaYhieJnkJKS2tbe0dnV7i7J9IbjfX1b3h2dVFVrdN293SVE+YhiWy0pCm2HJcoZY0U2xqxUV/f7MiXM+wrXV54Ih8Sd2zjF1DVyVDdmwANSxBwISEijhcFBlzEWJKx02ZwJHhViCkuMz0zQxE/+dpJIURAKNWLVjl9jGDtN1lHmUgMUCOsuo8PjLIQWCw1ie5VQWkTCfRZDmLl7hLcoTJa5P8eV7kGanHtz/QCtm/SDIweseUReqQreqUHuqZn+mg6qxrM8L0c8KrVucIpRI8HM+/skq8Sux/s/70LGL6cCrwd6dAPFPodf5lcPT18xseqQ6Shf0wv7P6Ynu+QRW5U2vrYn0GcL8AF+3HG+ebIwnU5RMrU0m5hcaT9GJIQxjO97CvNYwSqyrHuCG9ziTokoE8qsMldvVUINzgB+hL8CZmxkM=</latexit><latexit sha1_base64="XdTZVTZsQdeUbdcL90Mt9aCYvzI=">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</latexit>

Pinned Jet 22 GHz Core 43 GHz Core

DOY Jet Component 23 K1

0.112±0.036 0.210±0.090

23 K2

0.026±0.024 0.070±0.068

101 K2

0.111±0.047 0.208±0.110

154 K1

0.246±0.071 0.380±0.149

B1pc

<latexit sha1_base64="qxW53q/bk4/soDWI8q6KzSI0Q=">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</latexit><latexit sha1_base64="qxW53q/bk4/soDWI8q6KzSI0Q=">ACeXichVHNSsNAEP4a/+tPq14EL9WiIcyUHxJPXiUVurhSoliauGpklItgUtfQFfwIMXFYqoj+HF/DQRxCPCh704DQNiIo6y+7Ozs73zbc7umuZviRqRpSOzq7unt6+aP/A4FAsPjy5TsVzxA5w7EcL69rvrBMW+SkKS2Rdz2hlXVLbOul1db9dlV4vunYm/LIFbtl7cA2901DkxwqIY0iamjAQxkJqHBhoF6MJylFgSV+OmroJBHauhO/wg724DC4wkQCNiT7FjT4PApMTEwtscvFNC4mYQb3AnVEGVvhLMEZGkdLvB7wqRBGbT63OP0AbXAVi6fHyASm6IGu6Znu6ZYe6f1XrlrA0dJyxLvexgq3GDsZy7+iyrzLnH4ifpTs8Q+lgKtJmt3g0jrFUYbXz0+fc4uZ6Zq03RJT6z/gp0xy+wqy9GY0NkzhDlBqjfv/unszWXUimlbiwkV9JhK3oxjknM8H8vYgVrWEeO6x7jHNe4ibwpE8qMtOVSIhZhRfTJn/ANC1jpg=</latexit><latexit sha1_base64="qxW53q/bk4/soDWI8q6KzSI0Q=">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</latexit><latexit sha1_base64="g+V4NsS1GzsEg3vBfV35M5u+9Gs=">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</latexit>

∆rcore

<latexit sha1_base64="SdLqt4PCaiqo6hkRQgAUMnfS38=">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</latexit><latexit sha1_base64="SdLqt4PCaiqo6hkRQgAUMnfS38=">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</latexit><latexit sha1_base64="SdLqt4PCaiqo6hkRQgAUMnfS38=">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</latexit><latexit sha1_base64="NMLa+PhUjrPVfhMl5RF1OwNXJY=">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</latexit>

B1pc = 1.45 × 10−8 ( ΔrcoreDLν1ν2 ν2 − ν1 )

3 4

( 1 (1 + z)4δ2ϕ sin2 θ) 43 GHz 22 GHz

Preliminary

slide-21
SLIDE 21

Variation of the magnetic field

  • Magnetic field at 1pc vs DOY
  • (blue: K1, green: K2)

Preliminary

slide-22
SLIDE 22

Variation of the magnetic field

  • Magnetic field at 1pc vs DOY
  • (red: core,blue: K1, green: K2)

Preliminary

slide-23
SLIDE 23

Jet variation

  • Core offset vs Distance from Core
  • ( blue: K1, green: K2)

Preliminary

slide-24
SLIDE 24

Jet variation

22GHz 43GHz

τ

1

22GHz 43GHz

τ

1

  • The jet component is optically thin or thick?

Thin Thick

slide-25
SLIDE 25

Jet variation

22GHz 43GHz

τ

1

  • The jet component is optically thin or thick?

Thick

Preliminary

slide-26
SLIDE 26

Summary & Future

slide-27
SLIDE 27

Summary & Future

  • To constrain magnetically model, we estimated the physical

parameter, especially the magnetic field, by using core shift.

  • We performed monitoring observation for 3C111 with KaVA
  • and confirmed the variation of the core offset
  • Estimated the magnetic field at 1pc is
  • We got a possibility to suggest variations
  • We will measure the physical parameter variation and

associate with phenomenon

  • Please continue to observe with KaVA.

B1pc ≈ 0.07 − 0.38[G]

Summary Future