please use python

Questions A spacecraft is launched on a geosynchronous transfer orbit (GTO) with period 12 hours, inclination of 0 degrees and eccentricity of 0.75. 1. Compute the orbit semi-major axis, perigee and apogee radius. You are to store your answers in the variables named a_gto, r_p_gto, and ra_gto, respectively. (Value: 20 points) 2. Compute the velocity at perigee and apogee. You are to store your answers in the variables named and respectively. (Value: 15 points) 3. The spacecraft needs to be injected into an interplanetary transfer. Compute the escape velocity at apogee and perigee (use variables named , and for your answer, respectively). Also compute the associated v in both cases; you can store these answers in variables delta_v_p and delta_v_a . Based on the obtained results identify the best option to minimize the required propellant mass for the manoeuvre; store your choice under the variable named (Value: 25 points) 3. Consider the situation where the escape trajectory needs to be inclined by 28 degrees with respect to the equatorial plane. Compute the v of a single manoeuvre that injects the spacecraft into the escape trajectory with the required inclination for both the apogee and perigee case; store your answers in variables delta_v_p_inclination and delta_v_a_inclination. Based on the obtained results identify the best option to minimize the required propellant mass for the manoeuvre; store your choice under the variable named best_delta_v_inclination. - Radius of the Earth, RE=6378km - Earth gravitational parameter E=3.986105km3/s2 These constants have been defined in the variables and for you below. Please make use of these variables in your calculations. In the same code cell, we have also provided access to the constant for ( pi in computing font), and access to the sine and cosine functions ( sin and respectively). As an example, we also demonstrate how to use and Lastly, we also demonstrate how to use to get the absolute value of a number (or function). You may find you need this in various calculations. Note Alongside this solution, you should also submit your handwritten work with relevant figures and explanations. You can do so by uploading a images (jpg) of your handwritten work in the folder. Ensure to name the files in the order you wish them to be read: page1. jpg, page2. jpg, and so on. You can add up to five pages of handwritten work using the above naming convention and the images will automatically appear below (at the end of this file)