Lagrangian points (also Lagrange point, L-point, or libration point), are the five positions in an orbital configuration where a small object affected only by gravity can theoretically be stationa...
Lagrangian points (also Lagrange point, L-point, or libration point), are the five positions in an orbital configuration where a small object affected only by gravity can theoretically be stationary relative to two larger objects (such as a satellite with respect to the Earth and Moon). The Lagrange points mark positions where the combined gravitational pull of the two large masses provides precisely the centripetal force required to rotate with them. The L, point lies on the line defined by the two large masses M, and M2, and between them. a) There are four other libration points (L2 L3, Land L5), describe where these point would be located b) Draw a free-body diagram of the L) libration point (uses the Sun and Earth as the 2 large masses) d) If a satellite was located at the L, point show (by considering its potential energy), that the satellite would be in a "stable" orbit. Briefly comment on why the Lagrangian points are important for satellites operations? What are the different benefits for satellites located at the different L-points. e)
Lagrangian points (also Lagrange point, L-point, or libration point), are the five positions in an orbital configuration where a small object affected only by gravity can theoretically be stationary relative to two larger objects (such as a satellite with respect to the Earth and Moon). The Lagrange points mark positions where the combined gravitational pull of the two large masses provides precisely the centripetal force required to rotate with them. The L, point lies on the line defined by the two large masses M, and M2, and between them. a) There are four other libration points (L2 L3, Land L5), describe where these point would be located b) Draw a free-body diagram of the L) libration point (uses the Sun and Earth as the 2 large masses) d) If a satellite was located at the L, point show (by considering its potential energy), that the satellite would be in a "stable" orbit. Briefly comment on why the Lagrangian points are important for satellites operations? What are the different benefits for satellites located at the different L-points. e)