B Based on observations made during the 1996 sighting of comet Hyakutake, it was concluded that the trajectory of the comet is a highly elongated ellipse for which the eccentricity is approximately ɛ = 0.999887. Knowing that for the 1996 sighting the minimum distance between the comet and the sun was 0.230RĘ, where RE is the mean distance from the sun to the earth, determine the periodic time of the comet. E»
B Based on observations made during the 1996 sighting of comet Hyakutake, it was concluded that the trajectory of the comet is a highly elongated ellipse for which the eccentricity is approximately ɛ = 0.999887. Knowing that for the 1996 sighting the minimum distance between the comet and the sun was 0.230RĘ, where RE is the mean distance from the sun to the earth, determine the periodic time of the comet. E»
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(a) Express the eccentricity ε of the elliptic orbit described by a satellite about a planet in terms of the distances r0 and r1 corresponding, respectively, to the perigee and apogee of the orbit. (b) Use the result obtained in part a and the data given in Prob. 12.109, where RE = 149.6 × 106 km, to determine the approximate maximum distance from the sun reached by comet Hyakutake.
Reference to Problem 12.109:
Transcribed Image Text:B
Transcribed Image Text:Based on observations made during the 1996 sighting of comet
Hyakutake, it was concluded that the trajectory of the comet is a
highly elongated ellipse for which the eccentricity is approximately
ɛ = 0.999887. Knowing that for the 1996 sighting the minimum
distance between the comet and the sun was 0.230RĘ, where RE is
the mean distance from the sun to the earth, determine the periodic
time of the comet.
E»
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