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A space probe is to be placed in a circular orbit of radius 4000 km about the planet Mars. As the probe reaches A, the point of its original trajectory closest to Mars, it is inserted into a first elliptic transfer orbit by reducing its speed. This orbit brings it to Point B with a much reduced velocity. There the probe is inserted into a second transfer orbit by further reducing its speed. Knowing that the mass of Mars is 0.1074 times the mass of the earth, that A = 9004 km and rg = 180 004 km, and that the probe approaches A on a parabolic trajectory, determine the time needed for the space probe to travel from A to B on its first transfer orbit.

A space probe is to be placed in a circular orbit of radius 4000 km about the planet Mars. As the probe reaches A, the point of its original trajectory closest to Mars, it is inserted into a first elliptic transfer orbit by reducing its speed. This orbit brings it to Point B with a much reduced velocity. There the probe is inserted into a second transfer orbit by further reducing its speed. Knowing that the mass of Mars is 0.1074 times the mass of the earth, that A = 9004 km and rg = 180 004 km, and that the probe approaches A on a parabolic trajectory, determine the time needed for the space probe to travel from A to B on its first transfer orbit.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A space probe is to be placed in a circular orbit of radius 4o00 km about the planet Mars. As the probe reaches A, the point of its original trajectory closest to Mars, it is inserted into a first elliptic transfer orbit by reducing its speed. This orbit brings it to Point B with a much reduced velocity. There the probe is inserted into a second transfer orbit by further reducing its speed. Knowing that the mass of Mars is 0.1074 times the mass of the earth, that ra= 9004 km and rg= 180 004 km, and that the probe approaches A on a parabolic trajectory, determine the time needed for the space probe to travel from A to Bon its first transfer orbit. Approach trajectory Second transfer orbit В 4000 km First transfer orbit The time needed for the space probe to travel from A to B on its first transfer orbit is |h.
Transcribed Image Text:A space probe is to be placed in a circular orbit of radius 4o00 km about the planet Mars. As the probe reaches A, the point of its original trajectory closest to Mars, it is inserted into a first elliptic transfer orbit by reducing its speed. This orbit brings it to Point B with a much reduced velocity. There the probe is inserted into a second transfer orbit by further reducing its speed. Knowing that the mass of Mars is 0.1074 times the mass of the earth, that ra= 9004 km and rg= 180 004 km, and that the probe approaches A on a parabolic trajectory, determine the time needed for the space probe to travel from A to Bon its first transfer orbit. Approach trajectory Second transfer orbit В 4000 km First transfer orbit The time needed for the space probe to travel from A to B on its first transfer orbit is |h.
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Solution:

Given Data:

ro=4000 kmMm=0.1074MerA=9004 kmrB=180004 km

 

To Find:

The time needed for the space probe to travel from A to B on its first transfer orbit?

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