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25 YEARS AFTER THE DISCOVERY: SOME CURRENT TOPICS ON LENSED QSOs

25 YEARS AFTER THE DISCOVERY: SOME CURRENT TOPICS ON LENSED QSOs Santander (Spain), 15th-17th December 2004. Transverse velocities of QSOs from microlensing parallax. Tyoma Tuntsov, Mark Walker and Geraint Lewis Sydney Uni. Outline of the talk. What is the annual parallax effect?

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25 YEARS AFTER THE DISCOVERY: SOME CURRENT TOPICS ON LENSED QSOs

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  1. 25 YEARS AFTER THE DISCOVERY: SOME CURRENT TOPICS ON LENSED QSOs Santander (Spain), 15th-17th December 2004 Transverse velocities of QSOs from microlensing parallax Tyoma Tuntsov, Mark Walker and Geraint Lewis Sydney Uni

  2. Outline of the talk • What is the annual parallax effect? • How can it be used to determine the transverse velocity in the system? • Where can we find the effect? • (Bad) Illustration – QSO2237+0305 • Conclusions and Outlook

  3. Outline of the talk • What is the annual parallax effect? • Natural formalism for microlensing • What is the annual parallax effect? • What is it telling us? • How can it be used to determine the transverse velocity in the system? • Where can we find the effect? • (Bad) Illustration – QSO2237+0305 • Conclusions and Outlook

  4. Natural formalism for microlensing(Gould, 2000, ApJ, 542, 785) • All quantities projected onto observer plane • Coordinate frame is fixed by source and lens • Many things (those related to observer motion) look simpler!

  5. What is the annual parallax effect?

  6. What is it telling us? • Galaxy: Optical depth is low Schwarzschild lens model for OGLE-1999-Bulge-19 (Smith et al., 2002, MNRAS, 336, 670)

  7. What is it telling us? • Galaxy: Optical depth is low Schwarzschild lens model for • Microlensed QSOs: can be anything

  8. What is it telling us? • Galaxy: Optical depth is low Schwarzschild lens model for • Microlensed QSOs: can be anything

  9. What is it telling us? • Galaxy: Optical depth is low Schwarzschild lens model for • Microlensed QSOs: can be anything

  10. What is it telling us? • Galaxy: Optical depth is low Schwarzschild lens model for • Microlensed QSOs: can be anything Use Taylor expansion:

  11. What is it telling us?

  12. Outline of the talk • What is the annual parallax effect? • How can it be used to determine the transverse velocity in the system? • Correlation between (T, X, Y) coefficients in different images • Individual velocities and magnification matrices • Where can we find the effect? • (Bad) Illustration – QSO2237+0305 • Conclusions and Outlook

  13. Correlations between (T, X, Y) coefficients in different images Thus, at least three images required

  14. Individual velocities and magnification matrices • Assume • OR • Use independent • regions of O-plane • plus additional info

  15. Outline of the talk • What is the annual parallax effect? • How can it be used to determine the transverse velocity in the system? • Where can we find the effect? • Order-of-magnitude argument • QSO wish list • (Bad) Illustration – QSO2237+0305 • Conclusions and Outlook

  16. Order-of-magnitude argument • How good is linear approximation? • Rescaling to Einstein units:

  17. How good is linear approximation? Rescaling to Einstein units: Order-of-magnitude argument

  18. How good is linear approximation? Rescaling to Einstein units: Order-of-magnitude argument • Signal S

  19. How good is linear approximation? Rescaling to Einstein units: Order-of-magnitude argument • Signal S Noise N

  20. Order-of-magnitude argument • , • Optimal t ~ 1 year

  21. Go Green

  22. Go Green (if it works)

  23. Go Green (if it works)

  24. QSO Wish List • Redshifts of order unity

  25. QSO Wish List • Redshifts of order unity • Highly symmetric configuration • Intrinsic variability constraint • bulk velocity constraints

  26. QSO Wish List • Redshifts of order unity • Highly symmetric configuration • Intrinsic variability constraint • bulk velocity constraints • The lens is NOT: • a virialized cluster member • massive elliptic galaxy

  27. QSO Wish List • Redshifts of order unity • Highly symmetric configuration • Intrinsic variability constraint • bulk velocity constraints • The lens is NOT: • a virialized cluster member • massive elliptic galaxy • The system is not far from • the direction of Solar system • motion with respect to CMB • (additional 350 km/s)

  28. QSO Wish List • Redshifts of order unity • Highly symmetric configuration • Intrinsic variability constraint • bulk velocity constraints • The lens is NOT: • a virialized cluster member • massive elliptic galaxy • The system is not far from • the direction of Solar system • motion with respect to CMB • (additional 350 km/s) • Narrow-band observations • are possible

  29. QSO Wish List • Redshifts of order unity • Highly symmetric configuration • Intrinsic variability constraint • bulk velocity constraints • The lens is NOT: • a virialized cluster member • massive elliptic galaxy • The system is not far from • the direction of Solar system • motion with respect to CMB • (additional 350 km/s) • Narrow-band observations • are possible And it should be bright, favourably located on the sky, year-around observable etc..

  30. Outline of the talk • What is the annual parallax effect? • How can it be used to determine the transverse velocity in the system? • Where can we find the effect? • (Bad) Illustration – QSO2237+0305 • Conclusions and Outlook

  31. Application to QSO2237+0305 OGLE-II (Wozniak et al., 2000, ApJ, 529, 88)

  32. Application to QSO2237+0305 OGLE-II (Wozniak et al., 2000, ApJ, 529, 88)

  33. Weird velocities • Effective transverse velocity • Using a different method (Schmidt, Webster & Lewis, 1998, MNRAS, 295, 488)

  34. Outline of the talk • What is the annual parallax effect? • How can it be used to determine the transverse velocity in the system? • Where can we find the effect? • (Bad) Illustration – QSO2237+0305 • Conclusions and Outlook

  35. Conclusions and Outlook • Photometric monitoring of some QSOs can help determine 3D picture of their motion • Little chance to know a priori where the method will work • Photometric accuracy is most important • More data are needed • Try it yourself!

  36. Thank you for your attention!

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