Is This How a Spaceship Enters Mars?

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    Mars Spaceship
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The discussion focuses on the calculations for a spaceship's entry into Mars, detailing the determination of the semi-minor axis and focal length based on given distances. The semi-major axis is calculated as 530 km, leading to a semi-minor axis of 265 km. Using the vis-viva equation, the orbital speed is computed to be approximately 7.625 km/s. Finally, the time required for the spaceship to travel from Earth to Mars, estimated at 230 km, is calculated to be about 30.1 minutes. The calculations aim to assess the feasibility of the spacecraft's trajectory and entry into Mars.
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Spaceship entering mars!

okay guys so you have to open this file to read the question accuretely.. i have done some calculations but not sure if they are correct.


So just this as best as i can, fist i figure out my semi-minor axis = a
by 150km +150 KM +230 km =530km (major axis) now to get me semi minor axis i will just divide it by 2 . Giving me 265km!

Focal lenght= 265km - Earth's disntace to the sun (150 km) =115 km


Now to get my semi minor axis i use the equation b2=(a2-f2)
(530Km-300km)=b2
b=150km
 
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Now to calculate my orbit i will use the vis-viva equation V2=GM(2/r-1/a)Where GM is the gravitational parameter of the sun and a and r are the major and minor axis of the elliptical orbit.V2 = (6.67408*10^-11)(2/150-1/265)V2 = 5.834*10^-10V = 7.625km/sNow that i have my orbital speed i can calculate the time it will take for the spaceship to enter mars. I will use this equation to do so: Time = Distance / SpeedDistance from Earth to Mars : 230Km Time= 230KM/7.625km/s Time = 30.095 minutes
 

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