IOAA 2009, Анализ на данни — Задача 2. Venus

3rd International Olympiad of Astronomy and Astrophysics — Practical Competition · 17 октомври 2009 г. · 60 т.

Условие

An observer in Deh-Namak (you will be taking the observational part of the exam in this region tonight) has observed Venus for seven months, started from September 2008 and continued until March 2009. During the observation, a research CCD camera and an image processing software were used to take high resolution images and to extract high precision data. Table 2.1 shows the collected data during the observation.

Table 2.1 description:

Column 1 Date of observation.

Column 2 Earth-Sun distance in astronomical unit (AU) for observation date and time. This value is taken from high precision tables.

Column 3 Phase of Venus, Percent of Venus disk illuminated by the Sun as observed from the Earth.

Column 4 Elongation of Venus, the angular distance between center of the Sun and center of Venus in degrees as observed from the Earth.

Table 2.1

a) Using given data in table 2.1, calculate the Sun-Venus-Earth angle($\angle SVE$) . This is angular separation between the Sun and the Earth as seen from Venus. Write $\angle SVE$ angle in column 2 of Table 2.2 in your answer sheet for the all observing dates.

Hint: Remember that the line between light and shadow, in the phases, is an ellipse arc.

b) Calculate Sun – Venus distance in AU and write it down in column 3 of table 2.2 for all observation dates.

c) Plot Sun – Venus distance versus observing date.

d) Find perihelion ($r_{v,min}$) and aphelion ($r_{v,max}$) distances of Venus from the Sun.

e) Calculate semi-major axis ($a$) of the Venus orbit.

f) Calculate eccentricity($e$) of Venus orbit.

Решение

---

Оригинал в Архива: 2009_Data_analysis.pdf