06 Aug The New Horizons spacecraft, launched in 2006, approached the quasi-planet Pluto at an altitude of 14,000 km with an orbital velocity of 14 km/s in July 2015. The spacecraft then pe
The New Horizons spacecraft, launched in 2006, approached the quasi-planet Pluto at an altitude of 14,000 km with an orbital velocity of 14 km/s in July 2015. The spacecraft then performed a "flyby," passing by Pluto without entering its orbit.
Suppose that the spacecraft did not perform a flyby, but instead, as shown in the Figure, the spacecraft thrusted its propellant back at point A on orbit I and entered an elliptical orbit (orbit II) with an eccentricity e = 0.8 and apogee altitude H = 14,000 km. Answer the following questions for this case. Assume that Pluto's radius Ro is 1185 km, the gravitational parameter μp is 8.749 x 10^2 (km^3/s^2), and the velocity V on orbit I is 14 km/s. Calculate to five significant digits.
(1) Find the semi-major axis a, semi-minor axis b, and semi-focal distance c of the elliptical orbit (orbit II).
(2) Find the orbital velocity Va at the apogee of the elliptical orbit (orbit II), and find the difference in velocity ΔV between before and after the injection.
(3) At perigee B on the elliptical orbit (orbit II), a reverse thrust is made to shift to a circular orbit (orbit III) with e=0. Find the orbital altitude h and orbital velocity Vb .
The New Horizons spacecraft, launched in 2006, approached the quasi-planet Pluto at an
altitude of 14,000 km with an orbital velocity of 14 km/s in July 2015. The spacecraft then
performed a "flyby," passing by Pluto without entering its orbit.
Suppose that the spacecraft did not perform a flyby, but instead, as shown in the Figure,
the spacecraft thrusted its propellant back at point A on orbit I and entered an elliptical orbit
(orbit II) with an eccentricity e = 0.8 and apogee altitude H = 14,000 km. Answer the
following questions for this case. Assume that Pluto's radius Ro is 1185 km, the
gravitational parameter μp is 8.749 x 10^2 (km^3/s^2), and the velocity V on orbit I is 14 km/s. Calculate to five significant digits.
(1) Find the semi-major axis a, semi-minor axis b, and semi-focal distance c of the elliptical
orbit (orbit II).
(2) Find the orbital velocity Va at the apogee of the elliptical orbit (orbit II), and find the
difference in velocity ΔV between before and after the injection.
(3) At perigee B on the elliptical orbit (orbit II), a reverse thrust is made to shift to a circular
orbit (orbit III) with e=0. Find the orbital altitude h and orbital velocity Vb .
Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteDemy. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax.
About Wridemy
We are a professional paper writing website. If you have searched a question and bumped into our website just know you are in the right place to get help in your coursework. We offer HIGH QUALITY & PLAGIARISM FREE Papers.
How It Works
To make an Order you only need to click on “Order Now” and we will direct you to our Order Page. Fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Are there Discounts?
All new clients are eligible for 20% off in their first Order. Our payment method is safe and secure.