Problem 3.5? v = Squareroot 2/2 I + Squareroot 2/2 J Determine and sketch the ve

Question

Problem 3.5?

v = Squareroot 2/2 I + Squareroot 2/2 J Determine and sketch the velocity hodographs for conic orbits in terms of the unit vectors u_e and u_ne. Comment on this formulation compared to using the unit vectors u_r and u_nr. Satellite in orbit about the earth has instantaneous position r = 6045I + 3490J km and velocity specified as v = -2.457I + 6.618J + 2.533K km/s. Determine the orbital elements. (The earth's equatorial plane is the reference plane, as in Fig. 3.4). At what point in an orbit is the declination equal to the orbit inclination? The orbital elements of an earth satellite are a = 1.1 earth radii, e = 0.05, i = 45 degree, Ohm = 0 degree, omega = 20 degree, and f = 10 degree. Determine the instantaneous right ascension alpha and declination delta of the satellite. Use the earth's equatorial plane as the reference plane, as in Figs. 3.4 and 3.5. Investigate the use of so-called equinoctial orbital elements to avoid the singularities in the classical elements addressed in Prob. 3.1. The equinoctial elements are P_1 = e sin omega, P_2 = e cos omega, Q_1 = tan1/2 I sin Ohm, and Q_2 = tan/2 I cos Ohm. These replace the classical elements e, I, Ohm, and omega. Do these elements circumvent all the singularities encounter in Prob.3.1?

Explanation / Answer

P-3.5

At maximum declination (derivative of declination = 0)

and there the declination equal to orbital inclination in an orbit

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.