HW3 - MAE146 Astronautics Homework#3 Assigned Friday...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
MAE146: Astronautics – Homework #3 Assigned: Friday, January 25 th , 2008 Due date: Friday , February 8 st , 2008, (at the beginning of the lecture) Note: “Textbook” refers to Wiesel’s book, “Spaceflight dynamics”. Please justify all of your answers. Problem 1 (20 pts): Apparent acceleration of gravity In everyday life, we consider the local frames attached to the surface of the Earth to be inertial and consider the acceleration of gravity to be the result of the Earth gravitational attraction alone. This is not the case... But by how much? In the following, you should assume the local frame is centered at Irvine, at a latitude of 33 o 39 and longitude of 117 o 47 . The Earth is assumed to be a uniform sphere of density 5 , 515 . 3 kg/m and radius Re = 6367 km. 1. Estimate the gravitational force in the local reference frame on a sample mass of 1 kg (at rest with respect to the local frame). 2. Assuming that the rotation of the Earth is uniform about the North pole (+90 o latitude) with a period of 24 h, what are the non-inertial accelerations for a mass at rest in the local frame of reference? Determine the “acceleration of gravity” in the local frame (that is, the initial acceleration that one would measure of a mass falling in vacuum near the surface of the Earth). What happens when the mass is moving with respect to the Earth surface? Problem 2 (30 pts): Perturbed motion 1. (10pts) Textbook, page 72, #9 2. (10pts) Assuming the Earth is moving around the Sun in a circular motion of radius R = 149 . 6 × 10 6 km and
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern