by Jennifer Yee
A point lens microlensing event is parameterized by three variables:
The magnification of the source is given by the equation:
Magnification = | A(u) = | u^{2} + 2 |
u (u^{2} + 4 )^{1/2} |
where
and
τ = | (t - t_{0}) |
t_{E} |
Below are discovery lightcurves of the first microlensing events. For each one, estimate its point lens parameters (t_{0}, u_{0}, t_{E}). These basic parameters can be directly inferred from the lightcurve by measuring the height and time of the peak and t_{FWHM} of the lightcurve (FWHM = Full Width Half Maximum). Then, t_{E} can be calculated using the measured t_{FWHM} and the above equations. In the limit where u_{0} << 1, t_{E} ~ (1/2)t_{FWHM}/u_{0}.
Estimating t0 and u0 for a point source, point lens eventJ. Yee |
Estimating tE for a point source, point lens eventJ. Yee |
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t_{0}: | ||
u_{0}: | ||
t_{E}: |
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t_{0}: | ||
u_{0}: | ||
t_{E}: |
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t_{0}: | ||
u_{0}: | ||
t_{E}: |