We know that the magnitude of the apsidal distance of a particle in an elliptical orbit is given
a(1-e²)
1+e cos p
The Halley comet has an eccentricity of e=0.967 at its closest
approach (perigee), the comet is at a distance of 0.59 AU from the Sun ( AU stands
for the measure of the average distance between the Earth and Sun in a year and is equal to
1.5x108 km ). What is the farthest it goes (i.e. what is its apogee) from the Sun
assuming a perfectly elliptical orbit?

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