Earth\'s orbital velocity, vE = 29780 m/s Mar\'s orbital velocity, vM = 24120 m/

Question

Earth's orbital velocity, vE = 29780 m/s

Mar's orbital velocity, vM = 24120 m/s

For Part C, I got 2.0523 x 10^-4

For Part D, I got 3.381 x 10^-3

Both of my answers were wrong. Please help me, I'm very lost on this. Thank you so much!

(10%) Problem 9: A NASA space probe is traveling from the Earth (average orbital radius, rE= 149.6 x 106 km; period of revolution, TE 1.00 yrs) to Mars (average orbital radius,M 2279 x 106 km; period of revolution, TM-1.881 yrs). Treat the orbit of Mars and Earth as circles, with the Sun at the center. The trip takes tEM 10.5 months. The average length of a month is 30.436875 days.

Explanation / Answer

c.Tangential acceleration =dv/dt

V2-V1=24120-29780=5600m/s

dt=10.5months

Since 1 month= 30.4 days

=10.5*30.4=319.2days=27578880 sec

Now,

tangential acceleration=5600ms-1/27578880s

=2.05*10-4ms-2

d.Radial acceleration=V^2/r

V=V2-V1=24120-29780= 5600m/s

r=(227.9*10^6-149.6*10^6)=78.3*106km

Radius=78.3*10^6=78.3*10^6*10^3z=78.3*109m

Radial accleration=(5600)^2/78.3*10^9

=31360000/78.3*10^9

=400510.8*10^-9

=4.05*10-4ms-2

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