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A spacecraft starts in elliptical orbit JK (red solid curve) around some planet and transfers to elliptical orbit MN (blue solid curve). To do so, it changes its speed at K and inserts into the circular orbit KL (dashed green curve). At L, it changes speed again to insert into elliptical orbit LM (dashed magenta curve). Finally, at M, it changes speed to insert into the final orbit MN. Find all the changes in speed.Mass of planet compared to mass of Earth: Mplanet /MEarth = 2Radius of planet: Rplanet = 5000 mia = 500 mib = 1500 mic = 200 mid = 1000 mi

User Jake Marsh
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1 Answer

7 votes

Answer:

Speed in orbit Jk = 4.976 *10⁵m/s

Speed in orbit KL = 4.429 *10⁵ m/s

Speed in orbit LM = 5.005 * 10⁵ m/s

Step-by-step explanation:

See the attached files for the calculation

A spacecraft starts in elliptical orbit JK (red solid curve) around some planet and-example-1
A spacecraft starts in elliptical orbit JK (red solid curve) around some planet and-example-2
A spacecraft starts in elliptical orbit JK (red solid curve) around some planet and-example-3
A spacecraft starts in elliptical orbit JK (red solid curve) around some planet and-example-4
A spacecraft starts in elliptical orbit JK (red solid curve) around some planet and-example-5
User Wedocando
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