Question

MI Review | Constants Periodic Table wnat is the semi-major axis of the planer's ordit? A new extrasolar planet (outside our solar system) has been discovered. This planet orbits a star of mass 1.00x1031 kg with a period of 6.52 years. It is also known that the planet has an eccentricity of 0.684. ► View Available Hint(s) IVO AXO ? Semi -major axis = m Submit Previous Answers X Incorrect; Try Again; 5 attempts remaining Part B What is the average velocity of the planet in its orbit? EVO AED ? V = 6.79. 104 m/s Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining

Answer 1

Solution

Solution Past - A stapes square T2- 402 Keplers love of time period of planetary motions period (T) is proportional to cube of semi-major axis. 2 aa3 Where To Time period, a sem najor asais of orbit, M mass of planet - stas reduced system a Mass of star. and Ganiversal gravitational constant. Thus, .674x10 x x1x10 x 6-52x325 x 24x60+60" 40² 4 uz 1.51482x100 m 5736674 kio" ko'n95? 31 a = (GMT2, '3 6 l year = 365+ 24 x 60X60S parf - B We have approseomake pesimeber of elliptical orbit, a: Sem majur asri's a= zu fa?t be bi sem menor axis. blwa, But cusing reladas b and eccentricity e, 6² a²C1-02) za a²+ a²(1042) Zaa/2-02 - 2 This planet travels a distance din frome T-6.52 years. Theis of velocity plament, J = average d zace 2-e² T 2 - т 20 x 1:51482x109 2- 0.684² 6.52x365x24x60x60 V - 40.516ml