In the solar system, including earth's moon. mean distance from sun ravitational parameter m3/s 1.327x1020 2.20% 1013 .249x1014 3.986x1014 4.283x1013 1.276x1017 3.794x1016 5.78x 1015 6.871x1015 1.021x1012 4.903x1012 ean radius (m un mercury venus earth mars jupiter saturn uranus neptune pluto moon 0.3871 0.723 1. 1.5237 5.2034 9.5371 19.1913 30.0960 39.4817 6.96x10* 2.43x106 6.06x106 6.37x106 3.37x 106 6.99x107 5.85x107 2.33x 10 2.21x10 1.50x106 1.74x106 (au=astronomical unit-149.597.870.7 kilometres) on 9 february 1986, halley's comet was perihelion at a distance of 0.5872 au from the centre of the sun and eccentricity of 0.9673. answer the following questions: a) calculate the orbital period of halley b) calculate the velocity of halley at perihelion c) determine the distance from sun for 1 january 1992. d) a satellite is put into an earth orbit at height of one-quarter of the earth's radius with a velocity normal to the radius. find the true anomaly where the satellite would interact the earth if its speed were 0.2 times the velocity required for a circular orbit. e a scientific satellite is in an earth orbit with perigee radius of 7000 km and apogee radius 10,000 km. find the velocity when the true anomaly is 90 f) an asteroid on a hyperbolic orbit passes by the planet uranus at a minimum distance of 100,000 km from the centre of uranus and with the hyperbolic excess speed of 8 km/s. determine the time from periapsis that the asteroid is ata distance of 200,000 km from the centre of uranus.