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Extrasolar Moons as Gravitational Microlenses Christine Liebig

Extrasolar Moons as Gravitational Microlenses Christine Liebig

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CHAPTER 4. CHOICE OF SCENARIOS 41<br />

−∆mag<br />

3<br />

2<br />

1<br />

Triple Lens Binary Lens<br />

0<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7<br />

t/tE<br />

(a) Rsource = 2R⊙. While not <strong>as</strong> pronounced<br />

<strong>as</strong> with a solar sized source, the tell-tale signs<br />

of a caustic crossing are still visible.<br />

−∆mag<br />

3<br />

2<br />

1<br />

Triple Lens Binary Lens<br />

0<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7<br />

t/tE<br />

(c) Rsource = 10R⊙. The caustic crossing features<br />

are no longer distinguishable.<br />

−∆mag<br />

3<br />

2<br />

1<br />

Triple Lens Binary Lens<br />

0<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7<br />

t/tE<br />

(b) Rsource = 5R⊙. The planetary double<br />

peak is still noticeable, but the caustic crossing<br />

features are starting to w<strong>as</strong>h out.<br />

−∆mag<br />

3<br />

2<br />

1<br />

Triple Lens Binary Lens<br />

0<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7<br />

t/tE<br />

(d) Rsource = 20R⊙. The planet still reveals<br />

itself <strong>as</strong> a bump on the slope of the Paczyński<br />

curve.<br />

Figure 4.11: Testing the effect of an incre<strong>as</strong>ed source radius Rsource. Compare also<br />

figure 4.9.<br />

4.2.5 Sampling rate<br />

When observing a gravitational lensing event, data points are acquired by taking<br />

frames of the object. Typical exposure time h<strong>as</strong> a duration of 30 to 300 seconds.<br />

Higher observing frequency equals better coverage of the resulting light curve. A<br />

constant observing rate facilitates understanding of the planetary population. In real<br />

observations sampling is constrained by numerous factors. Usually, one or two dozen<br />

events must be covered at a re<strong>as</strong>onable rate during follow-up observations, because<br />

it is never certain which event will evolve to show those interesting anomalies that<br />

we look for. Ground-b<strong>as</strong>ed observations will always be weather-dependent. Then<br />

there is the Pacific gap; more of a problem, when the nights are getting shorter in<br />

the southern hemisphere.<br />

A normal microlensing event is seen <strong>as</strong> a transient brightening that l<strong>as</strong>ts for<br />

about a month. A planet will alter the light curve for hours or days; a small planet<br />

or a moon only for minutes or hours. This duration is inversely proportional to the

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