USAAAO 2022, I кръг — Задача 14

USAAAO 2022 - First Round · 5 февруари 2022 г.

Условие

Figure 6 shows a 6-hr root-mean-square (rms) Combined Differential Photometric Precision (CDPP) curve for 150,000 stars observed by the Kepler space telescope. CDPP is a measure of the white noise contained in a light curve, so for a target with 6-hour CDPP of 100 parts per million (ppm), a 6-hour transit with depth 100 ppm would be considered a 1-σ\sigma detection.

Colour-coded density plot: horizontal axis 'Kp magnitude' from about 8 to 16 (ticks 9 to 16), vertical axis 'rms CDPP (ppm)' from 0 to 320 (ticks 40 to 320); a colour bar 'Number of targets' from 0 to 80. The targets form a band whose lower edge rises from about 20 ppm at Kp 9 to about 40 ppm near Kp 13 and steeply to over 300 ppm at Kp 16; a vertical discontinuity at Kp 14.
Figure 6: From Christiansen et al. (https://arxiv.org/abs/1208.0595). Original caption: The distribution of the 6-hour rms CDPP values with Kp magnitude for all Quarter 3 planetary targets.

Consider a 1R⊙1R_{\odot} target with Kepler magnitude Kp=13.5K_p = 13.5 that’s among the best targets for its magnitude with respect to noise in Figure 6. Also consider three independent exoplanet scenarios for exoplanets with radii:

  • I. 0.5 R⊕R_{\oplus}
  • II. 1 R⊕R_{\oplus}
  • III. 10 R⊕R_{\oplus}

Using a 1−σ1 - \sigma detection threshold (and assuming 6-hour transit durations), which planet(s) transits would we likely fail to observe due to noise?

(a) I

(b) III

(c) I and II

(d) II and III

(e) I, II, and III

Отговори

Решение

Оригинал в Архива: usaaao_first_exam_2022_problems.pdf · официални решения: usaaao_first_exam_2022_solutions-1.pdf