In: Physics
Members of the astronomy club just posted an article about the discovery of a small comet which orbit is in the same orbit plane as the Earth. In the article it is reported that the observation took place when the comet was eclipsed by the sun just passing the aphelion, in a relative distance at that moment of 3.82 UA and an orbit with eccentricity of e=0.777.
They are calling you to form part of the group of immediate reaction to determine if the comet is a rick to planet Earth. Do the calculation of the ellipse of the comet and the earth to see if it is a risk to the planet.
There will be negligence difference while considering the orbit of the Earth as an ellipse not a circle because of very low eccentricity of Earth's orbit (0.017).There will be maximum difference of about 0.016 AU in Earth's position which is very very small compared to distances we are dealing with..