1. An object is orbiting the Sun in an elliptical orbit. When the object was observed...

 

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1. An object is orbiting the Sun in an elliptical orbit. When the object was observed at a certain time, the distance from the Sun was r = 12 AU and the true anomaly 0 = 90. After some time, the object was observed again, its distance from the Sun was r2 = 10 AU and the true anomaly is now 0 = 60 (i) Draw an elliptical orbit, labelling the position of the Sun, the semi major axis a, the semi minor axis b, the perihelion rp, the aphelion ra, the true anomaly fand eccentric anomaly E. [3 marks] (ii) Calculate the eccentricity of orbit, e and the orbital period, I of the object in years. [6 Marks] (iii) Calculate the distance of the object when eccentric anomaly 60. [1 Mark] 1. An object is orbiting the Sun in an elliptical orbit. When the object was observed at a certain time, the distance from the Sun was r = 12 AU and the true anomaly 0 = 90. After some time, the object was observed again, its distance from the Sun was r2 = 10 AU and the true anomaly is now 0 = 60 (i) Draw an elliptical orbit, labelling the position of the Sun, the semi major axis a, the semi minor axis b, the perihelion rp, the aphelion ra, the true anomaly fand eccentric anomaly E. [3 marks] (ii) Calculate the eccentricity of orbit, e and the orbital period, I of the object in years. [6 Marks] (iii) Calculate the distance of the object when eccentric anomaly 60. [1 Mark]